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-rwxr-xr-xbackup/Digital_Communications_by_S._Haykin_version_backup/Chapter1.ipynb96
-rwxr-xr-xbackup/Digital_Communications_by_S._Haykin_version_backup/Chapter2.ipynb394
-rwxr-xr-xbackup/Digital_Communications_by_S._Haykin_version_backup/Chapter3.ipynb377
-rwxr-xr-xbackup/Digital_Communications_by_S._Haykin_version_backup/Chapter4.ipynb134
-rwxr-xr-xbackup/Digital_Communications_by_S._Haykin_version_backup/Chapter5.ipynb313
-rwxr-xr-xbackup/Digital_Communications_by_S._Haykin_version_backup/Chapter6.ipynb513
-rwxr-xr-xbackup/Digital_Communications_by_S._Haykin_version_backup/Chapter7.ipynb973
-rwxr-xr-xbackup/Digital_Communications_by_S._Haykin_version_backup/Chapter8.ipynb577
-rwxr-xr-xbackup/Digital_Communications_by_S._Haykin_version_backup/Chapter9.ipynb365
9 files changed, 3742 insertions, 0 deletions
diff --git a/backup/Digital_Communications_by_S._Haykin_version_backup/Chapter1.ipynb b/backup/Digital_Communications_by_S._Haykin_version_backup/Chapter1.ipynb
new file mode 100755
index 00000000..3f0fb80c
--- /dev/null
+++ b/backup/Digital_Communications_by_S._Haykin_version_backup/Chapter1.ipynb
@@ -0,0 +1,96 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 1 Introduction"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Ex1.2 page 7"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 27,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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Z3glmlgM8BrQHmgGXmplqz2OUlweLFsHIkWHZVhHJPrF0uXX3ZRCKRnvRGljh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\nEUnY/wfincqi2HtregAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f473abb8710>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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zSqtNKpV6UQalGaUeKUqERNwskLoJUSyVjBEXsRql4OLq9yywyPFtRqknijwt\nrKMQmagbeaRSqRf1ObZscT+DceRI72VXV2Fx0bWNi6LSol7kYKujEJmoG3mYqHdnzRon0v1MrVxc\nhM2b3e8hFYWJegfqaO4VdeYzNeVmKdXNo0gFM0r9xVHGAdJEvQN1NPeK9CisWq8uqVTqRRqU/epF\n0SYpJCDqRSWojiIUQyVjxEWzBzw9HTqSfGIwSqH/M3ur1HtgRqk/it5565bPVCijBzwK1n45lUqL\negxfUirs2wcbNxa389Ytn6kQc+sFXGzz8+7OWr2IQS9M1HsQw+lUKhRthtUtn6kQs0kKsG4dbNgA\n+/d3X+7YMVe4FDWV0ETdE2aU+qPoC0zqls9UiPnCoyb9jK2FBTeffGwsXAxgRmlXVlfdF2U9YD8U\nXUHULZ+pEHv7Bfo7CyxjfJtROiKLi+53kcfHi1l/3UTIRN3Ioyqi3mtsxTK+TdS7UHRytm1zB45j\nx4rbRkzEMuiNuDBR9xdDGXGAiXpH1q51U7kWF4vbRkyYUWrkEbtRCibq7Ziod6FO5p4ZpUYeqRil\nRRuUMzPO41td7byMajkHyUqLetGDrU4tg1gqGSMuqtJ+CW2Ujo/D5KSbNtmJpSXXAZiYKC4OqLCo\nl3HEq5MQleVRdKtkjPioiqiHbr/0E0dZuaysqMfwJaWEeRRGHibq/uIwUe9BWV9SXcy9ss586pLP\nFCirBzwqJuonY6LehbqYe6qWT+NUyuoBj0oMRmk/cZQRA1Rc1M0o9cPysrt7y+RksdupSz5ToQqt\nF4jDKO0nDqvUe2BGqT/KGmx1yWcqVEXUN250FwkeOpT/ellnotZ+GZEYvqRUMFE38qiKqPe6s9bB\ng+7XHNevLzYOE/URKPPIWwdjrywzrC75TIUqmKRNuglqLEWLiXoXlpfd0bnoHnBdjL2yrhqsSz5T\noQpXkzbpNrbKMijNKB2BsgZb88jbz11VqkwslYwRF1Vpv0D3s8Ayx3dljFIR2Skie0TkfhG5Nuf1\nfyUid4vIN0XkayLybP+hnqCs08ING9yUrqWl4rcVEhN1I4+qibq1Xxw9RV1ExoDrgZ3AhcAVInJB\n22LfB16sqs8G3gZ8yHegrZQ52OogRLEMeiMuTNT9xVBmHP1U6hcDD6jqg6p6BLgZuKx1AVW9TVWb\nP2VzO3CW3zBPpmxRT93cM6PUyMOM0sGYnHSt2uXlU19bWXFTLqemio+jH1E/E3i45fEj2XOd+DfA\n50cJqhevWMPMAAAJj0lEQVRlinodzD3zKIw8zCgdDJHOcTQ1S6T4ONb2sUzfu6CI/ALwr4EX5b2+\na9eu43/Pzs4yOzvb76pPoszBVoeWQVkHyYmJEx7Fpk3Fb88Yjaq1X0Ibpa1x7NgxfAxzc3PMzc0N\nHUM/ov4o0BriDly1fhKZOfphYKeqLuStqFXUR2HvXnjGM7ysqicm6n5p5tNEPX6qJuqh2y/d4hgk\nhvaCd/fu3QPF0E/75Q7gXBE5W0TWAZcDt7QuICJPBf4SeKWqPjBQBEMQw5eUEpZPo50ye8A+SEnU\nR6Vnpa6qR0XkGuCLwBhwk6reJyJXZ6/fCLwF2AbcIK5pdERVLy4q6LK/pAcKP0yFY2XFGTtbtpSz\nPTNLq0GjAdPT5fSAfWCifoJ+2i+o6q3ArW3P3djy92uA1/gNrTNlG6W3317OtkIwP1/uzlsH4zkF\nqmSSAmzdCgcOwNGjzrdppSyjFDqP7zJjsCtKe5B6u6Dsvmnq+UyFKvXTAcbGnLDPz5/8/OHD7my0\nLA+n05lomfmspKiXOX82dREyUTfyqJqoQ/7YKnMqYacYWuMog8qJetPAKbMHnLIImagbeaQm6iFj\nKDuOyon6/Ly7M32ZR96Ujb2yrxpMPZ+pUKWrSZuYqDsqJ+plf0lTUyf6cilStiFmRmk1qJpRCvlj\nq0yDslMMZcdRSVEv80sScbNDUhWiWCoZIy6q2n5pPwsMMb7NKB2QEKeFKQuRibqRR1VFPXT7ZcsW\n9zMYR46ceG51FRYXXdu4DCon6iEGW8pCZKJu5GGiPhxr1jjxbp1aubgImzefOn++sBjK2Yw/Qol6\nquZe2Wc+U1Nu9lKqHkUqmFHqL47SDyzlbcoPIb6klM29EB6FVevxY0apvzjKjqGSol72l5SyCMVQ\nyRhxUXYP2BcxGKV5cVil3gMzSv3R3Hmnp8vdbqr5TIWye8C+sPaLo3KiHsOXlAr79sHGjeXvvKnm\nMxWqaJKCi3l+/uQ7a8WgFybqPYjhdCoVQplhqeYzFapokgKsWwcbNsD+/e7xsWOucCm7jWSiPiBm\nlPojlBmWaj5ToYomaZPWsbWw4OaNj42FiwHMKO3K6qr7oqwH7IdQp9mp5jMVqtp+gZPPAkOObzNK\n+2Rx0f0u8vh4udtNVYRM1I08qi7qzbEVy/g2Ue9CqC9p2zZ3QDl2rPxtF0ksg96ICxN1fzGEiMNE\nvQ/WrnVTvBYXy992kZhRauRRVaMUTNTBRL1vUjT3zCg18kjFKA1xNSk4jVpYcB6gavkHycqJeqjB\nlmLLIJZKxoiLqrdfQhul4+MwOemmUy4tuTP9iYnytl8pUQ95WpiiEIX2KFZXy9+20Zuqi3ro9ktr\nHCFiqJSox/AlpYR5FEYeJur+4jBR70HoLyk1cy/0mU9q+UyBED1gn5ioQ6V+sseMUn+oWj6NUwnR\nA/ZJDEZpaxxr15YfQ+VEPaRR+tBDYbZdBMvL7i4tk5Nhtp9iOysFqtx6gTiM0tY4xsetUu9K6HZB\nSiIUeudNLZ+pEHpcjMrGje4iwUOHwot6oxFG1K2n3iepiVDonTe1fKZC6HExKs07a/3wh+5XG9ev\nDxOHGaV9ELoHnJqxF9oMSy2fqRB6XPhgZga+853w49tEvQfLy+4oHKoHnJqxF/qqwdTymQqhx4UP\ntm93oh56fO/dG8asrUxPPfRgax55Vd3BpeqEPs229kuchB4XPpiZge9+N47xbT31LoQ+LdywwU1P\nWloKF4NPQu+8JupxEnpc+CAmUbf2SxdiGGwpCVHofKaUy5QIPS58YKJeEWIYbCmZe6HPfFLKZUqE\nHhc+mJmBJ54I+zkmJ12r9tAhmJoqd9uV6qmHHmwpmXvmURh5hB4XPmjGH/JziLjtHz1a/vjuWamL\nyE4R2SMi94vItR2WeX/2+t0icpH/MOMYbCm1DEIfJCcm0vIoUiH0uPBBM/7Qn2NmJkwMXUVdRMaA\n64GdwIXAFSJyQdsylwLPVNVzgauAG4oINIbTwphEfW5ubqT3x7DzxpLPUXOZEj7GReh8mqh352Lg\nAVV9UFWPADcDl7Ut8wrgYwCqejuwVURO9x2oidDJmKj7I7QIxcLKip8ecOh8mqh350zg4ZbHj2TP\n9VrmrNFDO5lYRCgFc29lxV3MtWVL2DhSyWcqNBowPV19j6Puot7LKNU+19M+DPp9X9/EIOqnnQbv\nfjc8+GDYOMBdMfeNbwz33iNH4th5TzsNrrsOPvCBsHGMksuUWFoK71v5YNs2d9FP6M/ypCe5fa1s\nRLWz/orIC4Bdqroze/xmYFVV39WyzAeBOVW9OXu8B3iJqj7Rti7vQm8YhlEHVLXvEqxXpX4HcK6I\nnA08BlwOXNG2zC3ANcDN2UFgsV3QBw3KMAzDGI6uoq6qR0XkGuCLwBhwk6reJyJXZ6/fqKqfF5FL\nReQBYAm4svCoDcMwjFy6tl8MwzCMalH4zwT0c/GS0T8i8qCIfFNE7hSRr4eOp2qIyEdE5AkR+VbL\nc9Mi8mUR+a6IfElEtoaMsUp0yOcuEXkkG6N3isjOkDFWBRHZISJfEZFvi8g9IvL72fMDjc9CRb2f\ni5eMgVFgVlUvUtWLQwdTQT6KG4+tvAn4sqqeB/xN9tjoj7x8KvDebIxepKpfCBBXFTkC/IGqPgt4\nAfDaTC8HGp9FV+r9XLxkDI6ZzkOiqn8LLLQ9ffwCuuz/f1lqUBWmQz7BxujAqOqPVPWu7O+DwH24\n64AGGp9Fi3o/Fy8Zg6HA/xaRO0Tkd0MHkwint8zYegLwfkV0DXld9ltQN1k7a3CyGYcXAbcz4Pgs\nWtTNhfXPi1T1IuAS3OnZz4cOKCXUzRywcTsaNwBPB54LPA68J2w41UJENgGfBl6vqgdaX+tnfBYt\n6o8CO1oe78BV68aQqOrj2f8/Af4K1+IyRuMJEXkygIicAfw4cDyVRlV/rBnA/8DGaN+IyDhO0D+u\nqn+dPT3Q+Cxa1I9fvCQi63AXL91S8DaTRUQmRWRz9vdG4JeBb3V/l9EHtwCvyv5+FfDXXZY1epAJ\nT5NfwcZoX4iIADcB96rq+1peGmh8Fj5PXUQuAd7HiYuX3lnoBhNGRJ6Oq87BXTj2Z5bPwRCRTwAv\nAbbj+pNvAT4DfAp4KvAg8BuquhgqxiqRk8+3ArO41osCPwCuzrvK3DgZEflnwFeBb3KixfJm4OsM\nMD7t4iPDMIyEqMw9Sg3DMIzemKgbhmEkhIm6YRhGQpioG4ZhJISJumEYRkKYqBuGYSSEibphGEZC\nmKgbhmEkxP8H1mfQrGLrivYAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f473a895a50>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "import numpy as np\n",
+ "%matplotlib inline\n",
+ "from matplotlib.pyplot import plot,title,xlabel,ylabel,show,figure,text\n",
+ "from math import sin,pi,sqrt\n",
+ "\n",
+ "#Figure 1.2: Analog to Digital Conversion\n",
+ "t = np.arange(-1,1.01,0.01)\n",
+ "x = [2*sin((pi/2)*tt) for tt in t]\n",
+ "dig_data = [0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1]\n",
+ "figure=figure()\n",
+ "#a=gca()#\n",
+ "#a.x_location =\"origin\"#\n",
+ "#a.y_location =\"origin\"#\n",
+ "#a.data_bounds =[-2,-3#2,3]\n",
+ "plot(t,x)\n",
+ "text(0.5,sqrt(2),'gnn')\n",
+ "text(-0.5,-sqrt(2),'gnn')\n",
+ "text(1,2,'gnn')\n",
+ "text(-1,-2,'gnn')\n",
+ "xlabel(' Time')\n",
+ "ylabel(' Voltage')\n",
+ "title('Analog Waveform')\n",
+ "show()\n",
+ "plot(range(1,len(dig_data)+1),dig_data)\n",
+ "title('Digital Representation')\n",
+ "show()\n"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.9"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/backup/Digital_Communications_by_S._Haykin_version_backup/Chapter2.ipynb b/backup/Digital_Communications_by_S._Haykin_version_backup/Chapter2.ipynb
new file mode 100755
index 00000000..49325463
--- /dev/null
+++ b/backup/Digital_Communications_by_S._Haykin_version_backup/Chapter2.ipynb
@@ -0,0 +1,394 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 2 Fundamental Limit On Performance"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 2.1 page 18"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 20,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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BhGUGvgN+Ez33e+De6Pb2wMdA0+riiMptFP3bLHp8o5T31ze6fTVw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\nIlKBEoOIiFSgxCAiIhX8P5fhJpLBkGXZAAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f4de4a3d1d0>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from numpy import arange, zeros\n",
+ "from math import log\n",
+ "%matplotlib inline\n",
+ "from matplotlib.pyplot import plot,xlabel,ylabel,title,show\n",
+ "\n",
+ "Po = arange(0,1+0.01,0.01)\n",
+ "H_Po = zeros(len(Po))\n",
+ "for i in range(1,len(Po)-1):\n",
+ " H_Po[i]=-Po[(i)]*log(Po[(i)],2)-(1-Po[(i)])*log(1-Po[(i)],2)\n",
+ "\n",
+ "#plot\n",
+ "#plot2d(Po,H_Po)\n",
+ "plot(Po,H_Po)\n",
+ "xlabel('Symbol Probability, Po')\n",
+ "ylabel('H(Po)')\n",
+ "title('Entropy function H(Po)')\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 2.2 page 19"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 24,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Entropy of Discrete Memoryless Source\n",
+ "bits : 1.5\n",
+ "Table 2.1 Alphabet Particulars of Second-order Extension of a Discrete Memoryless Source\n",
+ "_________________________________________________________________________________\n",
+ "Sequence of Symbols of ruo2:\n",
+ " S0*S0 S0*S1 S0*S2 S1*S0 S1*S1 S1*S2 S2*S0 S2*S1 S2*S2\n",
+ "Probability p(sigma), i =0,1.....8 : [0.0625, 0.0625, 0.125, 0.0625, 0.0625, 0.125, 0.125, 0.125, 0.25]\n",
+ "_________________________________________________________________________________\n",
+ " \n",
+ "H(Ruo_Square)= 3.0 bits\n",
+ "H(Ruo_Square) = 2*H(Ruo)\n"
+ ]
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "from math import log\n",
+ "P0 = 1/4# #probability of source alphabet S0\n",
+ "P1 = 1/4# #probability of source alphabet S1\n",
+ "P2 = 1/2# #probability of source alphabet S2\n",
+ "H_Ruo = P0*log(1/P0,2)+P1*log(1/P1,2)+P2*log(1/P2,2)\n",
+ "print 'Entropy of Discrete Memoryless Source'\n",
+ "print 'bits : ',H_Ruo\n",
+ "#Second order Extension of discrete Memoryless source\n",
+ "P_sigma = [P0*P0,P0*P1,P0*P2,P1*P0,P1*P1,P1*P2,P2*P0,P2*P1,P2*P2]#\n",
+ "print 'Table 2.1 Alphabet Particulars of Second-order Extension of a Discrete Memoryless Source'\n",
+ "print '_________________________________________________________________________________'\n",
+ "print 'Sequence of Symbols of ruo2:'\n",
+ "print ' S0*S0 S0*S1 S0*S2 S1*S0 S1*S1 S1*S2 S2*S0 S2*S1 S2*S2'\n",
+ "print 'Probability p(sigma), i =0,1.....8 : ',P_sigma\n",
+ "print '_________________________________________________________________________________'\n",
+ "print ' '\n",
+ "H_Ruo_Square =0\n",
+ "for i in range(0,len(P_sigma)):\n",
+ " H_Ruo_Square=(H_Ruo_Square+P_sigma[i]*log(1/P_sigma[i],2))\n",
+ "print 'H(Ruo_Square)=', H_Ruo_Square,' bits'\n",
+ "print 'H(Ruo_Square) = 2*H(Ruo)'"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 2.3 page 20"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 28,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Average code-word Length L 2.2 bits\n",
+ "Entropy of Huffman coding result H 2.12 bits\n",
+ "Average code-word length L exceeds the entropy H(Ruo) by only 3.679 %\n",
+ "Varinace of Huffman code : 0.16\n"
+ ]
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "from math import log\n",
+ "\n",
+ "# (a)Average code-word length 'L'\n",
+ "#(b)Entropy 'H'\n",
+ "P0 = 0.4# #probability of codeword '00'\n",
+ "L0 = 2# #length of codeword S0\n",
+ "P1 = 0.2# #probability of codeword '10'\n",
+ "L1 = 2# #length of codeword S1\n",
+ "P2 = 0.2# #probility of codeword '11'\n",
+ "L2 = 2# #length of codeword S2\n",
+ "P3 = 0.1# #probility of codeword '010'\n",
+ "L3 = 3# #length of codeword S3\n",
+ "P4 =0.1# #probility of codeword '011'\n",
+ "L4 = 3# #length of codeword S4\n",
+ "L = P0*L0+P1*L1+P2*L2+P3*L3+P4*L4#\n",
+ "H_Ruo = P0*log(1/P0,2)+P1*log(1/P1,2)+P2*log(1/P2,2)+P3*log(1/P3,2)+P4*log(1/P4,2)\n",
+ "print 'Average code-word Length L',L,'bits'\n",
+ "print 'Entropy of Huffman coding result H %0.2f'%H_Ruo, 'bits'\n",
+ "print 'Average code-word length L exceeds the entropy H(Ruo) by only %0.3f'%(((L-H_Ruo)/H_Ruo)*100),'%'\n",
+ "sigma_1 = P0*(L0-L)**2+P1*(L1-L)**2+P2*(L2-L)**2+P3*(L3-L)**2+P4*(L4-L)**2\n",
+ "print 'Varinace of Huffman code : ',sigma_1"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example2.4 page 20"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 31,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Average code-word Length L : 2.2 bits\n",
+ "Entropy of Huffman coding result H : 2.12 bits\n",
+ "Varinace of Huffman code = 1.36\n"
+ ]
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "from math import log\n",
+ "\n",
+ "def log2(x):\n",
+ " return log(x,2)\n",
+ "\n",
+ "# Calculation of (a)Average code-word length 'L' (b)Entropy 'H'\n",
+ "P0 = 0.4# #probability of codeword '1'\n",
+ "L0 = 1# #length of codeword S0\n",
+ "P1 = 0.2# #probability of codeword '01'\n",
+ "L1 = 2# #length of codeword S1\n",
+ "P2 = 0.2# #probility of codeword '000'\n",
+ "L2 = 3# #length of codeword S2\n",
+ "P3 = 0.1# #probility of codeword '0010'\n",
+ "L3 = 4# #length of codeword S3\n",
+ "P4 =0.1# #probility of codeword '0011'\n",
+ "L4 = 4# #length of codeword S4\n",
+ "L = P0*L0+P1*L1+P2*L2+P3*L3+P4*L4#\n",
+ "H_Ruo = P0*log2(1/P0)+P1*log2(1/P1)+P2*log2(1/P2)+P3*log2(1/P3)+P4*log2(1/P4)#\n",
+ "print 'Average code-word Length L :',L,'bits'\n",
+ "print 'Entropy of Huffman coding result H : %0.2f bits'%H_Ruo\n",
+ "sigma_2 = P0*(L0-L)**2+P1*(L1-L)**2+P2*(L2-L)**2+P3*(L3-L)**2+P4*(L4-L)**2\n",
+ "print 'Varinace of Huffman code = %0.2f'%sigma_2"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example2.5 page 20"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 32,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "probility of 0 receiving if a 0 is sent = probility of 1 receiving if a 1 is sent= 0.4\n",
+ "Transition probility\n",
+ "probility of 0 receiving if a 1 is sent = probility of 1 receiving if a 0 is sent= 0.6\n"
+ ]
+ }
+ ],
+ "source": [
+ "p = 0.4# #probability of correct reception\n",
+ "pe = 1-p##probility of error reception (i.e)transition probility\n",
+ "print 'probility of 0 receiving if a 0 is sent = probility of 1 receiving if a 1 is sent=',p\n",
+ "print 'Transition probility'\n",
+ "print 'probility of 0 receiving if a 1 is sent = probility of 1 receiving if a 0 is sent=',pe"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example2.6 page 21"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 34,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
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tUWCY+lWvQ9eu8OijcPLJ4fKiiIhIFijhyhgzO9nMxgIbmtnY2N8k4L2Uw2sS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\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f4e00050f10>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from numpy import arange\n",
+ "from math import log\n",
+ "%matplotlib inline\n",
+ "from matplotlib.pyplot import plot,title,show,xlabel,ylabel\n",
+ "\n",
+ "\n",
+ "\n",
+ "def log2(x):\n",
+ " return log(x,2)\n",
+ "\n",
+ "\n",
+ "p = arange(0,0.5+0.01,0.01)\n",
+ "C=[]\n",
+ "for i in range(0,len(p)):\n",
+ " if(i!=0):\n",
+ " C.append(1+p[i]*log2(p[i])+(1-p[i])*log2((1-p[i])))\n",
+ " elif(i==0):\n",
+ " C.append(1)\n",
+ " elif(i==len(p)):\n",
+ " C.append(0)\n",
+ " \n",
+ "\n",
+ "plot(p,C)\n",
+ "xlabel('Transition Probility, p')\n",
+ "ylabel('Channel Capacity, C')\n",
+ "title('Figure 2.10 Variation of channel capacity of a binary symmetric channel with transition probility p')\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example2.7 page 21"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 45,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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WtDkFpvsws/8lHVxdeLJyrv49/DAcfTQMHQr77JN2NC4J5ZishprZsZIqKZys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\nmff/xUXp9BgBdbUAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f4de45b5e10>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Table 2.3 Average Probility of Error for Repetition Code\n",
+ "_______________________________________________________________\n",
+ "Average Probility of Error, Pe =\n",
+ "0.01\n",
+ "0.000298\n",
+ "9.8506e-06\n",
+ "3.416698e-07\n",
+ "Code Rate, r =1/n = \n",
+ "1.00\n",
+ "0.33\n",
+ "0.20\n",
+ "0.14\n",
+ "_______________________________________________________________\n"
+ ]
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "%matplotlib inline\n",
+ "from matplotlib.pyplot import plot,title,show,xlabel,ylabel,legend\n",
+ "\n",
+ "\n",
+ "#Average Probility of Error of Repetition Code\n",
+ "p =10**-2#\n",
+ "pe_1 =p# #Average Probility of error for code rate r = 1\n",
+ "pe_3 = 3*p**2*(1-p)+p**3##probility of error for code rate r =1/3\n",
+ "pe_5 = 10*p**3*(1-p)**2+5*p**4*(1-p)+p**5##error for code rate r =1/5\n",
+ "pe_7 = ((7*6*5)/(1*2*3))*p**4*(1-p)**3+(42/2)*p**5*(1-p)**2+7*p**6*(1-p)+p**7##error for code rate r =1/7\n",
+ "r = [1,1/3,1/5,1/7]#\n",
+ "pe = [pe_1,pe_3,pe_5,pe_7]#\n",
+ "plot(r,pe)\n",
+ "xlabel('Code rate, r')\n",
+ "ylabel('Average Probability of error, Pe')\n",
+ "title('Figure 2.12 Illustrating significance of the channel coding theorem')\n",
+ "#xgrid(1)\n",
+ "show()\n",
+ "print 'Table 2.3 Average Probility of Error for Repetition Code'\n",
+ "print '_______________________________________________________________'\n",
+ "print 'Average Probility of Error, Pe ='\n",
+ "for pp in pe: print pp\n",
+ "print 'Code Rate, r =1/n = '\n",
+ "for rr in r:print '%0.2f'%rr\n",
+ "print '_______________________________________________________________'"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.9"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/backup/Digital_Communications_by_S._Haykin_version_backup/Chapter3.ipynb b/backup/Digital_Communications_by_S._Haykin_version_backup/Chapter3.ipynb
new file mode 100755
index 00000000..cb451838
--- /dev/null
+++ b/backup/Digital_Communications_by_S._Haykin_version_backup/Chapter3.ipynb
@@ -0,0 +1,377 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 3 Detection & Estimation"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example3.1 page 120"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 40,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f3eb2943610>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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YDFyQXjjxeJJwzqWtVZJE2mMSrxIGpHNGEa4mNiNpL+AGYIKZvV2soUbOk/Ak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\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f3eb26e6d10>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "from numpy import arange, ones, sqrt\n",
+ "%matplotlib inline\n",
+ "from matplotlib.pyplot import plot, subplot, xlabel,ylabel,title, show\n",
+ "\n",
+ "#using Gram-Schmidt orthogonalization procedure\n",
+ "T = 1#\n",
+ "t1 = arange(0,0.01+T/3,0.01)\n",
+ "t2 = arange(0,0.01+2*T/3,0.01)\n",
+ "t3 = arange(T/3,0.01+T,0.01)\n",
+ "t4 = arange(0,0.01+T,0.01)\n",
+ "s1t = [0]+[x for x in ones(len(t1)-2)]+[0]\n",
+ "s2t = [0]+[x for x in ones(len(t2)-2)]+[0]\n",
+ "s3t = [0]+[x for x in ones(len(t3)-2)]+[0]\n",
+ "s4t = [0]+[x for x in ones(len(t4)-2)]+[0]\n",
+ "t5 = arange(0,0.01+T/3,0.01)\n",
+ "phi1t = [sqrt(3/T)*x for x in [0]+[x for x in ones(len(t5)-2)]+[0]]\n",
+ "t6 =arange(T/3,0.01+2*T/3,0.01)\n",
+ "phi2t = [sqrt(3/T)*x for x in [0]+[x for x in ones(len(t6)-2)]+[0]]\n",
+ "t7 = arange(2*T/3,0.01+T,0.01)\n",
+ "phi3t = [sqrt(3/T)*x for x in [0]+[x for x in ones(len(t7)-2)]+[0]]\n",
+ "\n",
+ "#figure\n",
+ "title('Figure3.4(a) Set of signals to be orthonormalized')\n",
+ "subplot(4,1,1)\n",
+ "plot(t1,s1t)\n",
+ "xlabel('t')\n",
+ "ylabel('s1(t)')\n",
+ "subplot(4,1,2)\n",
+ "plot(t2,s2t)\n",
+ "xlabel('t')\n",
+ "ylabel('s2(t)')\n",
+ "subplot(4,1,3)\n",
+ "plot(t3,s3t)\n",
+ "xlabel('t')\n",
+ "ylabel('s3(t)')\n",
+ "subplot(4,1,4)\n",
+ "plot(t4,s4t)\n",
+ "xlabel('t')\n",
+ "ylabel('s4(t)')\n",
+ "show()\n",
+ "\n",
+ "\n",
+ "#figure\n",
+ "title('Figure3.4(b) The resulting set of orthonormal functions')\n",
+ "subplot(3,1,1)\n",
+ "plot(t5,phi1t)\n",
+ "xlabel('t')\n",
+ "ylabel('phi1(t)')\n",
+ "subplot(3,1,2)\n",
+ "plot(t6,phi2t)\n",
+ "xlabel('t')\n",
+ "ylabel('phi2(t)')\n",
+ "subplot(3,1,3)\n",
+ "plot(t7,phi3t)\n",
+ "xlabel('t')\n",
+ "ylabel('phi3(t)')\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example3.2 page 121"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fa3f2804950>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Figure 3.8 (b).Representation of transmitted dibits\n",
+ "Loc. of meg.point| (-3/2)asqrt(T)|(-1/2)asqrt(T)|(3/2)asqrt(T)|(1/2)asqrt(T)\n",
+ "________________________________________________________________________________\n",
+ "Transmitted dibit| 00 | 01 | 11 | 10\n",
+ "\n",
+ "\n",
+ "Figure 3.8 (c). Decision intervals for received dibits\n",
+ "Received dibit | 00 | 01 | 11 | 10\n",
+ "________________________________________________________________________________\n",
+ "Interval on phi1(t)| x1 < -a.sqrt(T) |-a.sqrt(T)<x1<0| 0<x1<a.sqrt(T) | a.sqrt(T)<x1\n",
+ "0.0049504950495\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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hw4YoWbIk7rvvPuzbty9LXz755JObfRk4cCASExPRuXNnFC9eHB06dMC5c+d0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\nu7qqqpYsEbn5ZpFXXxXZskVk2DCqckpj3jyRI0eKnzt4kHs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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fa40942a910>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "from numpy import sqrt,arange,random,sin,pi,zeros,multiply\n",
+ "%matplotlib inline\n",
+ "from matplotlib.pyplot import plot,subplot,xlabel,ylabel,title,show,grid\n",
+ "\n",
+ "#Signal constellation and Representation of dibits\n",
+ "a =1# #amplitude =1\n",
+ "T =1# #Symbol duration in seconds\n",
+ "#Four message points\n",
+ "Si1 = [(-3/2)*a*sqrt(T),(-1/2)*a*sqrt(T),(3/2)*a*sqrt(T),(1/2)*a*sqrt(T)]\n",
+ "plot(Si1,[0,0,0,0])\n",
+ "xlabel('phi1(t)')\n",
+ "title('Figure 3.8 (a) Signal constellation')\n",
+ "grid()\n",
+ "show()\n",
+ "print 'Figure 3.8 (b).Representation of transmitted dibits'\n",
+ "print 'Loc. of meg.point| (-3/2)asqrt(T)|(-1/2)asqrt(T)|(3/2)asqrt(T)|(1/2)asqrt(T)'\n",
+ "print '________________________________________________________________________________'\n",
+ "print 'Transmitted dibit| 00 | 01 | 11 | 10'\n",
+ "print ''\n",
+ "print ''\n",
+ "print 'Figure 3.8 (c). Decision intervals for received dibits'\n",
+ "print 'Received dibit | 00 | 01 | 11 | 10'\n",
+ "print '________________________________________________________________________________'\n",
+ "print 'Interval on phi1(t)| x1 < -a.sqrt(T) |-a.sqrt(T)<x1<0| 0<x1<a.sqrt(T) | a.sqrt(T)<x1'\n",
+ " \n",
+ "#Implementation of LMS ADAPTIVE FILTER\n",
+ "#For noise cancellation application\n",
+ "order = 18#\n",
+ "t =arange(0,0.01+1,0.01)\n",
+ "x = [sin(2*pi*5*tt) for tt in t]\n",
+ "noise =random.rand(len(x))\n",
+ "x_n = x+noise#\n",
+ "ref_noise = [noise*xx for xx in random.rand(10)]\n",
+ "w = zeros([order,1])\n",
+ "\n",
+ "\n",
+ "mu = 0.01*(sum(multiply(x,x))/len(x))\n",
+ "\n",
+ "print mu\n",
+ "\n",
+ "N = len(x)#\n",
+ "desired=[]\n",
+ "for k in range(0,1010):\n",
+ " for i in range(0,N-order-1):\n",
+ " if i < len(ref_noise):\n",
+ " buffer = ref_noise[i]#,i+order-1]\n",
+ " desired.append(x_n[i]-buffer*w)\n",
+ " w = w+(buffer*mu*desired[i])\n",
+ " \n",
+ "\n",
+ "subplot(4,1,1)\n",
+ "plot(t,x)\n",
+ "title('Orignal Input Signal')\n",
+ "subplot(4,1,2)\n",
+ "plot(t,noise)\n",
+ "title('random noise')\n",
+ "subplot(4,1,3)\n",
+ "plot(t,x_n)\n",
+ "title('Signal+noise')\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example3.3 page 123"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 34,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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gzXWjJOm0g4iMBRrE2XRr9BtVVRFJdJoPU9UlIlIXGCsic1U17vo6twqxxOPw\nw23h0bJlwdS3LS21yKJHHvH/2F7Qqxfceivcfnswx58wwSKjcrVWcbpElFVQ9Q5yXVGlw3772ah6\nxgxbKxEEI0bAG29407cbhVhEM3wsishczHe/VET2AD5R1Zbl7NMf+F1V74+zTTOVJVXOOMMu7osu\n8vQwcSkuhr59YcoU/4/tBZs2Qb168N139t9v+vY1d1P//v4f2wvGjoU77rDEbUGw337w6qtw0EHB\nHN9trrnGqvD16+f/sb/7zupU//STP4V2RARVTetI2bh63gcudF5fCLwbR6BqIlLDeV0d6A7MzOKY\nWRFkWGchWVRgFtXRRwe3UrKQ3GZgE/6zZ1sAgN/Mm2frMnK5ulq6BOmKHD7cFublanU1yE7x/xs4\nVkS+A45y3iMiDUUkcsobAONFZBrwBTBcVcdkI3A29OxpfuGNG/0/9rBhhaWowCJAgniQzp9vqQ4K\nxToFSzB39NEWLeU3+aCo0qVbN/jmm2AepPlglGSs+FV1paoeo6otVLW7qq52Pv9ZVXs5rxeo6gHO\nX9tIoZagqFcP2rXzf/HRrFkWV3zIIf4e12tOPNFcFOvX+3vct96y+qq5XPg9E045xb6b37z1Fpx6\nqv/H9ZKddrJEc+9u54fwluXLLd9RrmXjjKXAbp3yOeMMGDrU32MOHQqnn154imr33S1m2m93z9Ch\n9jsWGr1721zQmjX+HXPxYnMxHXOMf8f0iyDu9Xfesdj9atX8PW66FJgqKp9TTzW3y6ZN/h3zzTdN\n8Rcip59u388vfvgBfvwx/xfBxaNWLftefrrP3n7bRm75vrYkHj17whdfWKEev3jzzfwwSiqc4m/c\n2OKV/VoiP2cOrF5tieIKkVNOMYv/jz/8Od6bb9oxczH/iRv4baUW6ugJrFzoscf65+759Vd70OTD\n2pIKp/jB35tr6FA47bTCc/NEqFfPSgj6VVCkkBUVmLvn449h7Vrvj7VkCcycacqxUPHzXn/3XfPt\nV6/uz/GyoUDVUXJOOw3ee88WVXlNIbt5Ivjl7lm40Fw9Lq7ryzlq17bFhn6EIr79tkVm5VvJynTo\n1cuyn65c6f2x8sXNAxVU8TdpYsvkvU7k9O23NvzL5zS3qXDqqRaG6HWh6zfftGieQnXzRPDLSi30\n0RNY7YtjjjFDz0tWrrTFd7kexhmhQip+8OfmKnQ3T4T69eGAA7yvd1oRFBXASSdZyLGXOfqXLoXp\n03M/7NDrj8m0AAAgAElEQVQN/LjX333XXGb54OaBCqz4TzvNfiwv3T0Vwc0TwWt3z48/2sKtI4/0\n7hi5Qp06VrXJS3fPO+9Y1MtOO3l3jFzhhBMst9OqVd4dI9/u9WwKsZwhIrNEZIuIJFxDKSI9RGSu\niMwTkZsyPZ7b7LWX5en3yt3z3XdmVeVzkZB0OO00C0P0KrrnzTfNEs7nIiHpcMYZ8Prr3vX/xhsV\nY/QEltPpqKO8i+5ZuRI++yy/ahlkY/HPBE4BPk3UQEQqA48BPYDWwDki0iqLY7rKhRfCs8960/ez\nz0KfPlC5sjf95xoNGkCnTt4MqVXtfF54YfltC4XTT4dPPjHjwW3mzbNFW/kQdugWXt7rgwfbWohd\ndvGmfy/IJmXDXFX9rpxmHYH5qlqiqqXAa8BJmR7Tbc4/33ypS5a42++GDfC//8Fll7nbb65zxRXw\n1FPu9/vpp5ZHpmtX9/vOVWrVMuX//PPu9z1oEPzlL4UdzRPLiSdaVNiMGe72q2rX/OWXu9uv13jt\n428ELIp6/5PzWU5Qsyaceab7N9dbb9lkZ7Nm7vab6/TsCYsW2aShm0RurEJKIpYKl18OTz8NW7a4\n1+eGDfDii3Dppe71mQ9UqQJ//as99NykuNjcj/kWuZdpIZZ+qjoshf7TSrDvZSGWRFx+uYUI3nyz\ne26ZJ5+EG25wp698okoVUyhPPWXnwA2WLbPFYV6MJHKdgw+2BXKjR7sXJjh0qCUL3Gcfd/rLJ/72\nN0vSeO+97rllnnzSf6PEjUIsqGpWf8AnwEEJtnUCRke9vwW4KUFbDYpDD1UdNsydvmbMUG3YUHXT\nJnf6yzcWL1atXVt17Vp3+hs4UPWSS9zpKx957jnVE05wr78uXVTffde9/vKNk09WHTTInb6WLFHd\ndVfVNWvc6S9THN2Zlt52y9WT6Hk3BWguIk1FZAfgLKyAS05x+eXuWahPPWVDyooSfRJLw4YWcvny\ny9n3tWWLDc3zzX/qJmedZStPFy7Mvq8ZMywsNl8WGXlB5F53o9jfc89ZZFTNmtn35TfZhHOeIiKL\nMKt+hIiMcj7/sxCLqm4GrgI+AGYDr6vqnOzFdpezzrLkSiUl2fXz++9Wvu5vgZWUzw0ik7zZ3lxj\nxljq50KrY5AO1atbEMIzz2Tf11NP2bVZ6Cufk3HssZYH6csvs+tnyxabf8lXoyTjmrtu40fN3WT8\n4x+2mGVgFqViBg2yTJV+F3/INcrKrIbriy/aQqRMOfFEm3+55BL3ZMtHZs+26lwlJZlH4qxdC02b\nWlK2RjkTXhEM//mPFUd68cXM+xg2DO6+2wzGoMmk5m6o+B1++MGKisyYYe6KdFm3ztI9v/Za/s3w\ne8HTT8Mrr1gseiYTX599BmefbfmOcr2ohR+ceKKVE+zbN7P9+/Wz4t+DB7srVz6ycqXdqx9/DG3b\npr//li1W9vO223JjEVyo+LPkllvg558zswT697fVuq++6r5c+Ujk5rj99vSXspeVQceOcP31cO65\n3siXb3z3nY2eZs2y3EjpsGDBVqOmolv7ER591BK3jR2bvmEyaJAZNcXFuRFiHCr+LPntN7ME3n4b\nDj009f0WLrTQu6lTLfNniDFunK2YnDMHdt459f2ef94mziZMyI0bK1fo29eK+qS7AvWUU0zx9+vn\njVz5SGmprbW55x5LBZIqq1ZBq1YWYnvAAd7Jlw6h4neBwYPh8cctxWqqWTXPPNOGjHfc4a1s+ciZ\nZ1rs9O23p9Z+7VqbHxg+3B6mIVtZs8YMk3TOzYcf2tqK2bMrRkK2dPjwQ1tdP2tW6ufmuutsEVwu\nrSsJFb8LlJVZmcQrr0wtN8y4cXDBBWbVhr7o7SkpMSU1bVpqo6EbbzQf7HPPeS5aXvLcczYiSmU0\ntHmzWaV33WVWf8j2nHyy5Zi6+eby286ebfMss2dD3brey5YqmSj+rBdwufVHgAu4Ypk0SXWPPVR/\n+CF5uxUrVNu0UX39dV/Eyltuv121Vy/VjRuTt/v8c9XddrOFMSHx2bxZ9aCDVB95pPy2AwaoHnWU\nalmZ93LlK/Pn2zU3Y0byduvWqXbtqvrgg/7IlQ4EuICroDj0UPOHHn64WarxWLjQoneOPz43ZvZz\nmX79bEFbz56Ja8kOG2b1ZgcPtkyfIfGpXNkCCB580Cz5eIPksjKbGH/jDUsWGM6TJGbffc21e8wx\nNlkbj+XLLa3z3nvDVVf5Kp53pPuk8OqPHLL4Iwwdqlq3rurYsdt+Pm2aaqNGqg89FIxc+cjmzapX\nXKHavr2ldYhm0CDVBg1Uv/giGNnykSVLVA88UPXSS1VLS7d+vmGD6llnmXW6cmVw8uUbH39s9/pr\nr237+fffqzZvrtqvX+6OnMjA4s/Yxy8iZwADgJZAB1X9OkG7EmAtsAUoVdWOCdppprJ4yaefmkXf\nvv1Wy2nqVHjiCe8q7hQXF/uSoM5vVG2B3OOPb42f3rABFi+2KIl42UwL9VxkQuy5+O03uwaXLt06\nSlq0CNq0gSFDCnsy14vrYsYMS2fRosXW1c3Tp1uo9hVXuHooV8nEx5/N4u1IIZbyEp0qUKSqPtS5\nd58jjoDJk23yNkLTphZ54hWFquxEzO1z3HFWhD5Chw5WbjAehXouMiH2XNSoYRE+n35qE7kAO+xg\n12yhFwDy4rrYf3/46isz7CLssYd9XmhkrPhVdS7Y0yYF8trLuOee9hfiDmGYpntUrWrpHELcoV49\nM0wKHT8mdxX4UESmiEgFT18WEhISEjxJffypFGIRkU+AG5L4+PdQ1SUiUhcYC1ytquPjtMs9B39I\nSEhIHuCqj19Vj81OHFDVJc7/5SLyDlaHdzvFn67gISEhISGZ4WkhFhGpJiI1nNfVge7YpHBISEhI\nSEB4WogFcxONF5FpwBfAcFUdk63QISEhISGZkzO5ekJCQkJC/MHXlA0i0kNE5orIPBG5KUGbR5zt\n00XkQD/l85PyzoWInOecgxki8pmIFGA0sZHKdeG06yAim0XkVD/l85MU75EiEZkqIt+ISLHPIvpG\nCvfI7iIyWkSmOefiogDE9BwReV5ElolIQjd52noz3aW+mf4BlYH5QFOgKjANaBXTpicw0nl9KDDJ\nL/n8/EtwLtYBTaPadAZqOa97VKBzsQy4x9lWBCyKavcxMBw4zfnsPuDyoL9DzPdpCpQBlVy6LhYD\nR0e12RWYBTR23u8ep5+RQB/n9UXA+KDPi0vnIlZfDAAGRs4DsAKoErTsHpyLrsCBwMwE29PWm35a\n/B2B+apaoqqlwGtAbAmE3sCLAKr6BbCriKRZbyi3cVJYrMMu6JnYxTocuEtVSyLtVHWiqq5x3n4B\nNPZJviOdUcYqEVkpImNEpHWS9neJyEwRKRWR/hn09ed1gSm1nbDzE8vVwJvA8qjP7gP6iUjVBLI1\nFZEyEfk65vPdRWSTiPyQ6HvFtL9IRLaLRPOAePfIzthamAjnAm+p6k8i8j9gsYj8FvV3hqr2VNUh\n8Q7gnI99vP4iqRD1+8TTQ6noiyVATed1TWANsClBf3mLWvj7qiRN0tabfp6gRsCiqPc/OZ+V18YX\nhecjCvwbeEFVa6hqTWAu25+LaC7BrLi0EZF0F+/PAo5X1dpAfWAq8HyS9vOAG4ERbKugUu0r+je/\nCPiKmLUjItIIu+mfdD6KZPVbip273uV8p51FpE3U+3OBBXHkDZp413/s79ccqOOsnzkBs/RqRP0N\nTeE4GYVOi0g2KV6Sdh3ns1T0xTNAGxH5GZgO3Jmkv0Imbb3pp+JP9SaL/dFy7eZ0g3jf6aqIJSYi\nu4nIMBFZIyJzgJuAds627awkESkWkUuc1xc5cwIPiMivQH8R2UFE7hORhSKyVESeFJG4KbxU9RdV\nXey8rYS5LZYk/CKqg1V1NPAbMb9din1Fn4sewBy2ZzRwAKas94k5TjHQK5F8DkOA6LI6fYDB0f2I\nyM0iMl9E1orILBE52fm8FfbA6exY1Cudz3cWkftFpEREVovIeBHZMeoY5zvne7mI9Is6jkQd61cR\neV1Eakedi2bOfr8S/4FWFTgIG96PAY4QkebRDaKvh5jPP3VeTo+MDpzPT3D85Kuca6dd1D4lIvJP\nEZkB/BbPmhaRLiIy2TkPX4pI55j9j456P0BEIqORiDyrnfPeKXL9AhcDF4jIHBE5KkF//bAR4kfY\n9fFcVH+/iUgaBVTznrT0pp+KfzEQXYOpCfZkStamsfNZobGC7c9F9A/1OKZIjwaqAaXOXyI0Zv+O\nwPdAPeAe4F6gGdDe+d8ISFgoUkT2FJFVwHpMqW6nRFIlhb6if/N22MMh+rpo4GxfDewIHAEMEpGI\nUpzrfK9kvAyc7Sjd1sAumPssmvnA4c4I7E7gJRGpr6pzgMuBiY5FHUkndx/md+0M1MFGPdG/wWFA\nC+w3vENEImn9rsEU+hHAHtgQ/nFnW1XMn3se0NDZvkuMnIuAMar6B7AR+DHO94+9HuxD1SOcl/tH\nRgdiE4HPAX9zvscg4P0Y99nZwPHArqpaFt2niNTBRnsPOfs/gIV3Rz/MomWJft3V+V9LVWuq6iTn\nfUfsd/0E6A+8jY10forprwvwjfPdvmfrb1rL+X6xv3Ghkrbe9FPxTwGaOxbrDsBZwPsxbd4HLgAQ\nkU7AalVd5qOMfiDAQOBYx6J/BzsXttFcM6cCT2F+zbOwGzOd4evPqvq4c5NuxG7q61V1tar+7hz/\n7EQ7q+qPjntmd2wI/UI6XzDNvv68LjAf/zFsf13soap7q2pDoARTfJE2vzn7JeMn4FvgWOz6GhxH\nzjcd1xGq+gbmwopYjNuce8fq/QtwraouUdUyVZ2kqpuimt2pqhtVdYbzvSPK+XLgNlX92fFd3wmc\n7vzuLYE/2Prgq4mlM4/mPeBwp30Vp9/nHGv9l3LOQzwuBQap6mQ1BmPXTKfIqQEeUdXFqroxzv69\ngG9V9WXnPLyGKe0TExxPEryO5hfgn5iy/xL4DnMDxl4Xc4F9ARyfdk7MXQRA2nrTK5/ddqjqZhG5\nCvgA81s+p6pzROQyZ/sgVR0pIj1FZD42wfcXv+TzEcX81TtiVlI7TLHvD5wDbMJ+l78AtTE3w27O\n61SJ9vfVxUYNX8nWTKpCCg99VV0lIn2BJSJSU1UT1M8qn0R9xVwXlYAPo66LFsAqx7qN8Dvbnosa\n2Ggg6eExZf8XzEI/HFOyfyIiFwD/wCbdwSzt3RL0tzvmYvg+yTGXRr1ez1bLfS/gHRGJtpw3Y3Mg\n9TG31p/3CDapfYKINHfukbkiMhqYgY0IxqhqjyRylMdemEvl6qjPqmIjjgiLSExDbNQRzUKSz1mV\nx+KY66IhFpk0RywTwAlYhNc9wGfYw+8AzKB5KIvj5iQi8irQDdhdbNFsf+w3ylhv+qb4AVR1FDAq\n5rNBMe8LpbhZUmLPhYj8C3gVu2n+hYU0/sXZdjf2w8PWiJdqmBKE7RPpRQ+nf8WsyNbq5E1Kk6qY\n+yWetRdLefMxcfuKnAuxpIATnc8GiUgRcI2IVFPV9U7z2ZjSi9AKC/Urj7eBx4ApTkTMn4pfRPYC\nngaOwlw6KiJT2WqRxn6vX4ENmNtsBunxI/AXVZ0Yu0FElmDulP2c99WwkMXhqvpxpJ2q3gfcJyIv\nsL27NF1+BP6lqvckaZPsd12MjVCj2Yut1/Y6oHrUtuhrNVG/jWCb6+ILzF0H9kD9xNn+q9gkd3VV\n7eP8jgWn+FX1nBTapKU3CyrsqRBQ1S2YkhrgTCC2xCYjI5Esy7GbrY+IVBaRi3GGuwn6K8OiHx4S\ny5CKiDQSke7x2oul4mghIpWc9g9gkSNxFb+IVBGbKK4MVBWRnSITgOn2hUUudYvz+Z0iUlVEumKu\nhejIlW7EGBPxUNV1wJHAX+Nsro6d31+BSiLyF6Bt1PZlQOOI39s5p88DD4jIHs7v0NlxYZbHU8A9\nIrIngIjUjZqveBOz7g9z+vo/kt+jmUSvLGPb6+UZ4HIR6ejMgVQXkV4iEju3kIiRQAsROce5Fs7C\nRlPDne3TsPmVKiJyCHAaWxX+cswQiL1+64nINc5vfobT38gs+guJIVT8uUO09XMVUAuzbl7ERgLR\n/uO/YZOJvwKtseFudD+xltRN2OTlJBFZg6XHbpFAjkaYu2Et8DU2+fhnRIxYRNCTUe2fxVwZZwO3\nOq/PT6WvOAwGesrWiCPFooBWAT9j0TmXqep3jix7YBb/u0n6/PNcqOrXqvpD7DZVnQ3cj402lmJK\nf0JUu4+w0NSlUX70vtg6jMnYZP1AEo8QonkY88mOEZG1zjE7Rsnxd+AV5/uuJLmbJe4kbjltBgAv\nOnMCp6vqV9j19JhzvHmYvzilaDq1ynonADdg12Nf4ATdWnHvdkwRr3KO/XLUvuux0e1nYus8DnWO\n+wXm318O3IUt2FuVZn+rRCRumdcQF3L1iMjzmBX2i6q2S9DmESwqYD1wkapOjdcuJD4ici9QL+L6\nKWQcl9cvqvpwCm3vwxb5POW9ZCF+IJZ24RJV7Vpe25DMccPH/wLwKHEiJQBEpCfQTFWbO0/0J9ka\nMRASByf0b0fMouyAxTRnHFKZT6jqrWm07eulLCEhhUrWrh71YDlxCDWAt7DJ29eA+6LCF0NCCplU\n3FchWeJHVE+i5cSFFp/vGqo6BfNxhoRUKFT1RRxDMcQ7/ArnLHc5sYQ1d0NCQkIyQtMsXetHVE/K\ny4k1B1KgFsJf//79A5ehEP6Ki5VGjZS99urPwIHBy1Mof+H16e5fJvih+CtCGoaQAqO0FP76V3ji\nCTj5ZLjvPpg/P2ipQkLcIWvF7ywn/hzYT0QWicjFInJZVCqGkcACZznxIODKbI8ZEuI1n34KdepA\n796w667Qpw+88krQUoWEuEPWPn71YDlxSHYUFRUFLULe8/77pvRh6/ns2xfuSJjTNCRVwuszeHKm\n2LqIaK7IElKxUYV99jHl385ZklhaCg0awIwZ0Cib9GMhIS4jImgOTu6GhOQVs2bZ/7ZR2XqqVoUe\nPWD48Pj7hITkE6HiDwmJ4f334cQTQWJsqN69YdiwYGQKCXGTUPGHhMQwejT0ilPMsUcPKC6GTZu2\n3xYSkk+Eij8kJIrNm2HqVDg0TrXWWrWgaVP45hvfxQoJcZVQ8YeERDFnDjRsaCGc8ejQASZP9lem\nkBC3CRV/SEgUkyebck9EqPhDCoFQ8YcEwowZcOaZcMMN8O23QUuzlXxT/GvW2NqCs86Ct94KWpqQ\nfCFU/CG+s2oVnHKKxciXlZnS2rw5aKmM8hT//vtb6ob16xO38ZMbb4Rp0+Doo+Hyy21+IiSkPHwt\nth4SAnDJJXDCCXD77bZYqnt3ePhhs/6DZMMGmD0bDjggcZsdd4TWrU3BHnaYf7LF47PPYMQIk7lW\nLfs7/XSYPh12SbVibkiFJLT4Q3xlzhyYNAn++197L2KJ0O65B5YvD1a26dOhRQuoVi15uw4d4Msv\n/ZEpEapw9dXwwAOm8MFGTm3bwuuvBytbSO4TKv4QX3n+ebjwQthhh62fNW8Oxx4Lb78dnFwAX38N\nhxxSfrtDDoGvvvJenmTMmgUrVtg8STR//aud45CQZISKP8Q3SkthyBD4S5yS8WecAUOH+i9TNN98\nszU3TzLatdua1iEo3njD3Dqxq4uPPx4WLIC5c4ORKyQ/CBV/iG+MHAnNmpk7JZbjj7eJ1V9+8V+u\nCLNnm/++PFq1skikLVu8lykeqvaQPOOM7bdVqWIppF94wX+5QvKHUPGH+MZrr5lSike1aqb833nH\nX5mimTUL2rQpv90uu0C9evDDD97LFI9ZsyyqKN7qYoALLrBzHSa7DUlEqPhDfKGsDD76yJR7Is44\nI7hY9OXLLQfPHnuk1r51axshBMGbb8Jpp23v5onQpo2NRsKKYSGJcKMCVw8RmSsi80Tkpjjbi0Rk\njYhMdf5uy/aYIfnHjBmWBmHPPRO3OfpomDjR5gL8ZvZsU5iJlGksbdoE5+cvLobjjku8XQSOOQbG\njvVNpJA8IyvFLyKVgceAHkBr4BwRaRWn6ThVPdD5uzubY4bkJx9+aJE7ydh1VyuAEsQipFT9+xGC\nsvg3bYIpU6Bz5+Ttjj3WznlISDyytfg7AvNVtURVS4HXgJPitEurOkxI4TF2rFmh5XH44TB+vPfy\nxJKqfz9CUBb/V19Z+GvNmsnbHX00fPJJ7qyIDsktslX8jYBFUe9/cj6LRoEuIjJdREaKSBp2VUi6\nqMKYMfDss/DFF0FLY2zYAJ9/DkceWX7brl1hwgTvZYolXYs/qMieCRPsHJVHgwbQpEnw6w0iLFwI\nTz1lk/fr1gUtTUi2ij+VuIGvgSaq2h54FHg3y2OGJEDVcrdcc40p2t69bSIwaCZNMqWaKNVxNIcf\nbsrN74iUdC3+GjVg992hpMQzkeIyYYKdo1Q45hibUA+amTMtvcX48bbS+MQTzRgICY5sc/UsBppE\nvW+CWf1/oqq/Rb0eJSJPiEgdVV0Z29mAAQP+fF1UVERRUVGW4lUs7r3XrP3PP4c6dSx5V8+e9vqo\no4KTa+LE1JVV48ZQvTp89x3st5+3ckVYscIUUcOG6e0X8fPvu683csVSVmb5eZ58MrX2hx0G//uf\npyKVy7Jl9gB6+GE4+2wbIZ1/vq04fu+91CfTQ7ZSXFxMcXFxdp2oasZ/2IPje6ApsAMwDWgV06Y+\nIM7rjkBJgr40JHNKSlTr1FH96adtP3/9ddVDDlEtKwtGLlXV3r1V33gj9fbnn6/6zDPeyRPLxIl2\njtLlmmtU77/ffXkSMXu26t57p97+p59Ud9892N/+mmtUr7122882bVI94ADVt94KRqZCw9Gdaenu\nrFw9qroZuAr4AJgNvK6qc0TkMhG5zGl2OjBTRKYBDwFnZ3PMkPjcdZel5W0UM8Ny+uk2wfduQA42\nVXP1JFpsFI+OHS1yxS/mz7cVxenSrBnMm+e+PImYPDm989iokWUTXbDAO5mSsXAhvPQS3HLLtp9X\nrQp3323ZWYNa/VzRyTqOX1VHqep+qtpMVQc6nw1S1UHO68dVta2qHqCqXVR1UrbHDNmWefNs2Ny3\n7/bbKlXaepMFsZJz4UKoXNkmGlPlgAP8DemcN88iZdKleXN/F0lNnZo8ZXQ8OnWyB28Q3HOPGSP1\n62+/rWdPyyr66qv+yxUSrtwtCB5+GK68EmrXjr+9Z09bFBVEKuFJk0z5pOPLbd/eEqb5FYqYLxb/\ntGlw4IHp7dOpUzDRXevXWyK5q6+Ov10E+veH++/3V64QI1T8ec6GDZaX5eKLE7cRgXPPhZdf9k+u\nCBHFnw41a9pE63ffeSNTLJla/E2bwtKlsHGj6yJth2rmij8Ii3/YMHPZNWiQuM2xx8LKlfa9Qvwl\nVPx5zvvv2/B/r72StzvvPCvQ4feCnkwUP5iC88vdk6nFX6WKpaDww4deUmLRTnXrprffQQdZqOof\nf3giVkJeftmuuWRUqmS1GYKOPKqIhIo/z3nhhfj57WNp1gz23tvfZfylpZaj5+CD09/XL8W/YoWF\nSe6+e2b7++XuycS/D5b1dL/9/LWqV6yATz+1usrlceGF8MorlooixD9CxZ/HLFliFnUqNxiYu+e1\n17yVKZrZs20kUr16+vv6pfgj1n6m8eR+TfBOnZq+myfCwQf7O1n+zjuWRK5GjfLb7ruvrYIeOdJ7\nuUK2Eir+PObdd23itrwasRFOOAFGjzYL1w+yUVYRxe91JFKm/v0IzZv7Z/Fnei4POsjKSvrFqFG2\nOjdVzjwzuHTcFZVQ8aeBqhXkHjoUFi0qv73XvPNO6tY+WObLmjXN/eIH2Sir+vVhp53gxx/dlSmW\nTP37Efxy9UyblpmrB/xV/KWlliaie/fU9zn5ZBgxIph03NGsWmVyfPxx4Se3CxV/isyYYblcTjkF\nBg+2m+nss4NLOLVqlbl5evRIb78ePczq94NsFD/Y+fY69bEbFr/Xrp7Vq+33bto0s/33399q8PoR\nfTRxoj0M69VLfZ9Gjew8ZpuFIFNU4V//Mrfkgw/CTTdZVFkhj0JCxZ8Co0ZZmttbb4Xvv7dQtUWL\nzCLt2tVuTL8ZMQKKiqwMYDr4pfjLymx0lOuKP1uLf6+9LKTTy6Rjc+aYH7xShnfrzjubL/2bb9yV\nKx6jR6dvjIAZVEGU3VS1UpXvv28Pxw8/tBXSI0bAddfBwIH+y+QHoeIvhxkztl4Y5523dRJwp50s\noqZTJ7j0Uv9Xxb77bnpungjdulmq3rVr3ZcpmgULbGXmbrtl3ocfxU6ytfgjIZ1e1t+dMye9lNHx\nOPhgf9w9o0cnrw6WiFNOsWvar/mnCI88YutFxo3bNklfhw624PG552DIEH9l8oNQ8Sdh5Uq7IB9+\nOH7FIxFLMzt3rl0gfrFxoxU2OeGE9PetXt0eVl4Pq7N184D3in/lSssVk2koZwSvJ3jTrRUQDz/8\n/MuX24g4k3Ub++1n809+Rh9Nm2bpTF55xQy5WPbYwx5G11+fO3UN3CJU/Em45RazXs49N3GbnXay\nC+eWW8wP6wcTJtjQP93FPBGKiszC8RI3FH+rVqb0vBpNRaz9bFMDez3Bmy+K/7PPoEsXS8KWCT17\nmovFD1Qtzcm99yZPq922LTz6KPTp488ciV+Eij8BU6aYe+eee8pv27atjQz+/W/v5QKLee7ZM/P9\njzjCFth4iRuKf7fdzD/988/uyBRLtv79CF5P8Lqh+CP5j7yMnBk/PvW6C/Ho1cu/eP7334fff7cF\nZOVx1lk2IvnXv7yXyy9CxR+HsjL4+99tYieVqlFgCaeefRZ++qn8ttmSreLv2NH8xl76+TPJKxMP\nL9092fr3I3hp8f/+O/zyi626zoYaNSxD6pw57sgVj3Sqg8Wja1eTb/ly92SKx5Yt0K+fGXWVK5ff\nXgQef9xKRwZRZ9kLQsUfhxdesAiKCy5IfZ9GjSx1wn//651cYJOmq1bZ0D1TdtwRDjnEKnV5wdKl\ntv0XZXIAABdiSURBVAQ/nVTMifBS8btp8Xul+OfOhRYtUlNQ5eGlu2fdOhtRdOyYeR877GDRc15H\nnb35pgUe9OqV+j4NG8Jtt1mkTxDpzd0mVPwxrFplYZuPP55++Ny111oEwJo13sgGZu336JF5aF+E\nbt288/NH3DxulNXLB4vfy5BON9w8EbyM7PniC3Mn7bxzdv344ed/6CGrXZHu9XnFFeZ2fP99b+Ty\nk1Dxx3D77eavz8SibtLEJoO9jPAZMSI9SyURXvr53fDvR8gHi79KFVP+XmTpdCOUM4KXFv+ECeaq\nyZaePa1utFcrZydNsjrAJ52U/r5Vq9pD4/rr879YfNaKX0R6iMhcEZknIjclaPOIs326iCRVCaWl\nZonecQdccom5W/79b39K8U2bZukYspnE+cc/LDbYiwt33Tq7wdJZDp+Izp3t+3qRrtdtxT9rlvvD\n65Ur7TfKNDIqFq/cPbNnW3STGxx4oC2q86LcYbYTuxEaNrSH6MSJ2fcVjwcftJF5pq6zY4+Fdu3s\nAeA1JSXw2GPwt7/BRRfBDTdYpb3ffsu+76wUv4hUBh4DegCtgXNEpFVMm55AM1VtDlwKPJmov/vu\ns9CqG26wm7JzZws9/OUXqx3bpYuFjHmBqk3o3nUX1KmTeT8dO1r8rxfRCZ98YsP1WrWy76taNYtG\nmjw5+75icVPx161rbq1ffnGnvwjZZuWMpVkzbyJ73HT17LqrpVJw+wG1ebO5erp0cae/Xr28cfcs\nXWqjiVTSmCfj/vtNV3kVbbZwoSWuO/hgM84OOsj04O6724OgaVMbdSxenPkxsrX4OwLzVbVEVUuB\n14DYQVRv4EUAVf0C2FVE4lThtJVy77xj1v0998Bf/2qVpR54wG6qq6+GM86AG290PyxtyBCbkLzk\nkuz7uuwyePrp7PuJxS03T4TDD7cRhJusWWM3WIsW7vQnstXqdxO3/PsRvLD4//jDUoO44Y6K4IW7\nZ9o0W72czSrtaHr29MZwGjwYTj3VFoplw777mhV+883uyBXN4MEWeNG+vT0Ann3W5hYuusjWCo0d\na+dbxHIw9e+f2XGyVfyNgOg8lT85n5XXpnG8zt54I3HRjipV4JxzLIXCrFm2atWtSdQ1a+xHfOwx\nd6InzjzThqpuZpZUdV/xH3aY+4p/+nQbCrtxHiN44ed3y78fwYtY/u++MyWT6YKoeBx0kPurULMN\n44zl0EPNmnb7/nnuOTMm3aBfP8tC6mZZy//+1xT5J59YgEmiPFxNmtio4+uvrbZxJlTJXEwAUvW8\nxg6o4+43YMCAP18XFRVRVFS0XZvdd7dZ9euus+HP2LHZL7kfMMCsjEMPza6fCNWq2Wrf556DO+90\np89Zs8zl4Za/F0zxX3KJrVvINkooQqaVopLhheKfN8/8tW7hhavHTTdPhIMPdj/x2IQJllrZLSpX\ntsi1UaNs9OwGEyZYv5mkk4hHjRp2Hq+5xpR/NvePqumg11+3uZLGcc3irRQXF1Ps5FzJpMiRc1DN\n+A/oBIyOen8LcFNMm6eAs6PezwXqx+lL06GsTPWWW1TbtVNdtiytXbfhyy9V69ZV/eWXzPuIx4wZ\nqo0aqZaWutPfv/+teuWV7vQVTbNmJqtbXHih6qBB7vWnqjp2rGq3bu72eeihqhMmuNdfaanqjjuq\nbtjgXp+33aZ6xx3u9adq13mtWqpbtrjTX1mZar16qiUl7vQX4eWXVU880b3+LrhA9f773etP1c5h\n586qjz+eeR9lZar/+Ifq/vtnrscc3ZmW7s7WzpsCNBeRpiKyA3AWEBvl+j5wAYCIdAJWq+qyLI+L\niEXfnHwyHHmkhWily4YN5jt76CH3ojsitGtnfk+3JqncdvNEOPxwdyfM3ZzYjeCVxe+mj9+Lwute\nWPx165qP261sovPn28KrPfd0p78Ixx1niQTdCJtcvdqiYfr0yb6vaCpVslH9HXdk9rtv2WIjms8/\nN/dOOjUMsiUrxa+qm4GrgA+A2cDrqjpHRC4TkcucNiOBBSIyHxgEXJmlzH8iAv/3f5ZLo6jIatCm\nw623QsuWNnfgBW5N8q5aZQr1yCOz7ysWN/38GzeaX7pdO3f6i7DHHjbx7tZS/pUrLTjA7Ye92+4e\nN2P4o3Fzgjfi33crOirCbrvZdeTGIsNXX7UQaLd/bzDX6y23WM6fdAJOSkstVH3ePHNXZxNJmAlZ\ne3ZVdZSq7qeqzVR1oPPZIFUdFNXmKmd7e1V1fQnJHXfY07xbt9Rz5QwZYhFEgwa5f9FGOOMM8/8t\nXJhdP2PG2IKrbFdFxsNNi/+bb0z5xUtxmw2RyB638szMn+9OVs5Y3FT8mzaZVe5WdFQ0bit+NxZu\nxcOtpG3PPedOtF4irrvORlHXXpta+40bTTesWmXfL5Wi9G5TMCt3+/WzgihdupQftfDhh7ZWYNiw\n7CeGk1GtmhVvyXYlr1duHrCsg7/9ll1McAQv3DwR3AzpdDuiJ4Kbin/+fHOf7LijO/1F42Zkj1sL\nt+IRSd+QzeK9qVNtpHjMMe7JFUvlyjaqGDcO/vOf5PIuW2b5iHbYwXL9e2HMpULBKH6w/BsPPGAR\nAQ89tP3QS9VcL+edZ4ma2rTxXqZLLzXFn+lK3tJSswoyKbqSCiLm7nHD6vda8btl8bvt34/gZiy/\nmyt2Y4lY/Nmuhl62zBbWeXUftW9vI59sSkY+95ytBXIzvDgeNWtaFNLgwXDVVdvn7lc1Q7NDB1P8\nr71myj8osg3nzDlOP91WpF57LTzxhA2pWre2i/TFF21CZvx4b4bQ8Wjb1lbajRiRWX6Qjz4yheL2\n5Fk0kYVcZ56ZXT9Tp9r59oJWrezGcoP58+3mcxs3LX4vJnYjNGxoawMWLcruuooUXvFKqYrY9TR0\naGbzRn/8YZa4X1W99tzTzsnFF8M++9iagX33tYfje+/Br7/ag8jNMOJMKSiLP0LLlpba9YUX7P2w\nYTbrPnCgWTp+Kf0Il15qcwmZ8MYb2Svk8nDD4t+yBWbOdD+GP4KbkT0RH7/b7LWXucw2bcq+Ly8V\nP7jj53d74VY8zjzT7oFMRidvvWUWtpdGUyy1atlxR4603FpjxthcTd++trgxF5Q+kF0cv5t/pBnH\nn0+sX69ap076sc4bN9p+ixZ5I1eEDRtUq1dXXbs28z5mzFBt0cI9mWLZssVkXL06+75220116dLs\n+4nHPvuofvtt9v20a6f61VfZ95OI225Tvf327Pro0EF13Dh35ElEWZnqXnupTp+e/r7duqkOHeq2\nRLkHAcTxh6TAzjvbvMKzz6a334cfmoujvJV82bLjjuabz2b5+ZdfZleEozwqVbKRXLZ+/lWrzCL3\nKmbaDT//5s02KmnZ0h2Z4pGtxb9unU22e/mbg7l7zjzTVrWmw8yZFlrcu7c3cuU7oeL3icsug+ef\nT2+S94UXkhd6d5Nswzq9Vvzgjrvnu+/M1edVCG+LFnaMbPjhB2jQwKLCvCJbxf/FF+bWczt0Nx7n\nnWfh1+ncOw8/bMXUg5xAzWVCxe8TbdpY3dThw1Nr//PPZvGff763ckXIdiHXl1+6l+soEa1aZW/x\nf/uthbB6xX772TGywWv/Ppjfe+PG9Bc9RvDDvx+hfXsrbZrqKvjly83P7laen0IkVPw+cumlFmmU\nCs8+C2efnX0K2VTp0sWUdyZhp+vXm5Xbvr37ckXjhsU/d673in/u3Oz68EPxi2RXitFPxQ9mvT+Z\nsJLHtjz1FJx2mjcrdQuFUPH7yFlnmf93/Pjk7TZvtvUGV1zhj1xgS8abNLHIg3SZOtVGNF4sNoqm\nVavsFb/XFn/Llvlh8UPm7p7Nm20+yK3CK6lwxhkma3nzJytWWAW8f/7TH7nylVDx+8iOO1qFr5tu\nSh6e9uyzppz2398/2SBzP78f/n2w2OilS21iMVO8VvyNGtlK6GxqReS64p8+3YwEtwqvpMJOO8Hl\nl9v9k4yBA+0h4XfIdr4RKn6fOfdcU1xvvRV/++rVlpv7/vt9FQvI3M8/caI/ir9KFYuaydSVsmUL\nfP+9t0pBxPrP1OrfssW+n5cRPREOPtge2unGyHuZnycZN95oCxq/+CL+9gULLCDijjv8lSsfCRW/\nz1SqZL7Kv/89firXAQMsBM2rhVDJiKzgTUcRqFqOkm7dvJMrmrZtLVQvE0pKLIzTy2gZyM7ds2DB\n1tTJXrPPPvag+v779Pbz278foUYNS8V+3XXbz0X98YdZ+rffbhFRIckJFX8AdOliKaFPO23bVMMP\nPGDVxe6+Oxi59t7blvKnY1HPnWtVgPbayzu5omnXLnPF77WbJ0I2kT0zZ7qf1joRIpbO3CnmlBJb\ntlju+DjF8XzhggtsdWyfPltzcW3caBE8zZunniGzohMq/oC4+mpLJte6NfzjH2blP/mkWc9+FmSI\nRsRkGj069X2Ki/1VAqHid5d0Ff+UKVYfwetFhYmoVMmyWq5da6OOvn1tFLh6tc2NebU+o9AIFX9A\niNhEVHEx7Lqr+f4nTbJJsyApZMXvl++8ZcvM5yGCUvypuvdGj7ZrJEh22slqadx+O9SuDY89ZiPl\nRMXJQ7ZHNMPcrCJSB3gd2AsoAc5U1dVx2pUAa4EtQKmqxp0GFBHNVJYQ91izxqy5ZcvK94Wrmj/1\nyy/9c/Wo2oPy++/Tr6VQVAS33eZtbnawdQ27727RPelmrtxvP5v4b9vWG9liUTVjo7g4tRoFnTub\nK9KL7KYhmSEiqGpaY51sLP6bgbGq2gL4yHkfDwWKVPXAREo/JHeoVcvC/FIpeTdnjr/+fbCRUiYT\nvKq2jx8KtVo1c4ekm6L5jz/gxx/9cUdFiPj5P/mk/LYrVlh+niAmdkPcJRvF3xt40Xn9InBykrah\n5y2P6NEjtZJ3I0YEk2Y2E3fPzz+b9V2/vjcyxbL//jBjRnr7zJ5tE5RVq3ojUyKOPTa133vsWIve\n8nqhXoj3ZKP466vqMuf1MiDRLaXAhyIyRUT+lsXxQnzilFOsQll56RuGDrXCN36TieKfMcOUsV+T\nf5kofr/9+xF697b4+N9+S97utdfs2gjJf5JW4BKRsUC8qNhbo9+oqopIIgf9Yaq6RETqAmNFZK6q\nxk1aMGDAgD9fFxUVURRUzFgFp2VL8/N/9BEcd1z8NiUllkXyyCN9FQ0w5ThkSHr7RBS/X+y/v5Xh\nS4egFH/t2ua+GT4czjknfpsVK8wdlO53CnGf4uJiitMJxYpDNpO7czHf/VIR2QP4RFWTxkyISH/g\nd1Xdbl1qOLmbWzzyiE3avvRS/O3332+RK888469cYKF8e+xhIXypukXOO89cGhdd5KlofzJvHnTv\nbg/HVCkqgn79bD+/eeEFq1T39tvxtz/xBHz6qVn9IbmF35O77wMXOq8vBN6NI1A1EanhvK4OdAcy\nDMYL8ZOzzzYL8Pff428fOtS7+rrlUbOmpRWeNSv1ffy2+PfZxxbnpZqzZ8sWy5tzyCHeypWIk06y\nNOCJ3D0vvWSLpkIKg2wU/7+BY0XkO+Ao5z0i0lBEIpmzGwDjRWQa8AUwXFXHZCNwiD/Uq2cTeS++\nuP22iRNtsjQIN0+EDh1sMVEqbNxoETZ+JD6LULmyZSz95pvU2n/7rZ3zOnW8lSsRderYSOPpp7ff\n9vXXNnIJYiQS4g0ZK35VXamqx6hqC1XtHonhV9WfVbWX83qBqh7g/LVV1YFuCR7iPf/3f/a3atXW\nz1Th5pvhzjv9jz6JpkMHmDw5tbZz55oF7ke1qGjSmeCdPNm+U5DceSfce++2oxRVy40T9O8d4i7h\nyt2QhLRvDyefbMo/wqhR5sIIetifjuL3280TYf/9U69vkAuKv00b6NUL/vOfrZ+9+abNqVxySXBy\nhbhP0qiekJC777ZMoRs22MKiu+82f2+VgK+cAw4wS37DhvIt+S+/tEVpfnPQQfC//6XWdvJkK9QT\nNHfeCZ06ma+/cWN7CLz9dvorkENym9DiD0lK3brmp65aFT74wFLyBp2rBUzZt2wJ06aV3/azz4JZ\nbXrIIea7Ly8+ftMmO8dBPJxi2XNPk2XdOssdNXEiHHFE0FKFuE1o8YeUS+3aFt6Za3ToYNZ8p06J\n26xda/WAg1CqO+4IBx5ohUOS5QeaOdPmIKpX90+2ZNSpA889F7QUIV4SWvwheUvXruXnFJo0yZR+\nUGkGUqlqVlwc5r8J8ZdQ8YfkLcccAx9/nDy1RFBungip1DEeMybxCumQEC8IFX9I3tKggWUG/fLL\nxG2CKhMYoUsXc/Ukejj98Qd8/nmwayJCKh6h4g/Ja7p3N4s5HqWl9lDo3NlfmaKpU8fy3ScK6xw/\n3sJma9XyV66Qik2o+EPymmSKf/x4S3Ncu7a/MsXy/+3dT4hVZRjH8e8PmXChMESiqBMuLNFVbhwp\nI8GN48IUikolCIQIsxDFSNLatlAk2rQwCJQKCsTBEW2h1CYx1LIcq1koVqaLmKhmo/m0OGeG6c69\n3nP/eM7ce34fuHjvPS/eh5fHZ+543vd516yp3fb41CnviLX8ufBbR1u1KlkVM3l38bjDh5PmbEXb\ntAmOHKl+vOHJky78lj8XfutoM2fCwMDUdsFjY8m5rLXaDOepvz9pwlbZW+jcuaQ9QlGN2ay8XPit\n4+3cCQcP/v8G6uBgss5//vzi4honwZYtU1tc798PO3YUvwvayseF3zpef3/SXmC8l/zdu0mXyaL7\nCU22eXPSy368AdrVq8lRhlu3FhqWlZQLv3WFXbtg795k9czu3Ukr5qLOC6hm8eLkjIMNG+DaNdi2\nLSn6s2cXHZmVkX/JtK6wfj3cuJGcsjVnTrKiJ+82zPUcOJDcc1iyBLZvh337io7IyqrpoxfbzUcv\nWjuMjiZ/9vYWG0ctt2/DrVuwYEHRkVi3yPXoRUnPSvpB0r+SarbAkrRW0hVJP0t6o9nPM8uit3f6\nFn1Iupy66FvRWvk//kvARuDLWgMkzQDeB9YCy4AXJC1t4TMtgzNnzhQdQlfxfLaX57N4rRy9eCUi\nfqozbAUwEhFXI+I28AnwdLOfadn4H1Z7eT7by/NZvPu9qmcBcH3S61/S98zMrCD3XNUj6QtgXpVL\neyJiMMPf77u1ZmbTTMureiSdBnZGxPkq11YC70TE2vT1m8DdiHi3ylj/kDAza0Kjq3ratY6/1od+\nAzwiaRHwG/AcULV7SqOBm5lZc1pZzrlR0nVgJXBc0on0/fmSjgNExB3gVeAkcBn4NCKGWw/bzMya\nNW02cJmZWT5y7dWTZTOXpPfS699KWp5nfJ2m3nxKWi3pT0kX0sdbRcTZCSR9KOmmpEv3GOPczKje\nfDo3s5PUJ+l0umH2e0mv1RiXPT8jIpcHMAMYARYBPcBFYGnFmHXAUPq8H/g6r/g67ZFxPlcDx4qO\ntRMewJPAcuBSjevOzfbOp3Mz+1zOAx5Ln88Cfmy1dub5jT/LZq71wEcAEXEW6JU0N8cYO0nWzXG+\naZ5BRHwFVDnHa4JzswEZ5hOcm5lExO8RcTF9/jcwDFSeNNFQfuZZ+LNs5qo2ZuF9jqtTZZnPAB5P\nf/UbkrQst+i6j3OzvZybTUhXSC4HzlZcaig/82zLnPUucuW3AN99ri7LvJwH+iJiTNIAcBR49P6G\n1dWcm+3j3GyQpFnAZ8Dr6Tf/KUMqXtfMzzy/8f8K9E163UfyU+leYxam79lUdeczIv6KiLH0+Qmg\nR9KD+YXYVZybbeTcbIykHuBz4HBEHK0ypKH8zLPwT2zmkvQAyWauYxVjjgEvwsSu39GIuJljjJ2k\n7nxKmitJ6fMVJMt3/8g/1K7g3Gwj52Z26TwdAi5HxMEawxrKz9z+qyci7kga38w1AzgUEcOSXk6v\nfxARQ5LWSRoB/gFeyiu+TpNlPoFngFck3QHGgOcLC3iak/Qx8BTwULox8W2S1VLOzSbUm0+cm414\nAtgCfCfpQvreHuBhaC4/vYHLzKxkfNi6mVnJuPCbmZWMC7+ZWcm48JuZlYwLv5lZybjwm5mVjAu/\nmVnJuPCbmZXMf3bsm31O2SeyAAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f527e136a50>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "from numpy import arange,sqrt,cos,pi,convolve\n",
+ "%matplotlib inline\n",
+ "from matplotlib.pyplot import plot,subplot,title,show\n",
+ "\n",
+ "\n",
+ "fc =4# #carrier frequency in Hz\n",
+ "T =1#\n",
+ "t1 = arange(0,0.01+T,0.01)\n",
+ "phit = [sqrt(2/T)*xx for xx in cos(2*pi*fc*t1)]\n",
+ "hopt = phit#\n",
+ "\n",
+ "phiot = convolve(phit,hopt)#\n",
+ "phiot = [yy/max(phiot) for yy in phiot]\n",
+ "\n",
+ "t2 = arange(0,0.01+2*T,0.01)\n",
+ "subplot(2,1,1)\n",
+ "plot(t1,phit)#\n",
+ "title('Figure 3.13 (a) RF pulse input')\n",
+ "subplot(2,1,2)\n",
+ "plot(t2,phiot)#\n",
+ "title('Figure 3.13 (b) Matched Filter output')\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example3.4 page 124"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 40,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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AJeEm/Pdf6NkTPvggakkcx/zzNWvCNdfYhGzVqlFL5CRCutMlNAG6q2qL4H0X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\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f527df99e50>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "from numpy import random,convolve\n",
+ "%matplotlib inline\n",
+ "from matplotlib.pyplot import plot,subplot,title,show\n",
+ "\n",
+ "\n",
+ "phit = [0.1*xx for xx in random.uniform(0,1,10)]\n",
+ "hopt = phit\n",
+ "phi0t = convolve(phit,hopt)\n",
+ "phi0t = [yy/max(phi0t) for yy in phi0t]\n",
+ "subplot(2,1,1)\n",
+ "plot(range(0,len(phit)),phit)\n",
+ "title('Figure 3.16 (a) Noise Like input signal')\n",
+ "subplot(2,1,2)\n",
+ "plot(range(0,len(phi0t)),phi0t)\n",
+ "title('Figure 3.16 (b) Matched Filter output')\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example3.6 page 127"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 41,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Predictor-error variance 0.64\n",
+ "1 Predictor input variance 1\n",
+ "The predictor-error variance is less than the variance of the predictor input\n"
+ ]
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "\n",
+ "Rxx = [0.6, 1, 0.6]\n",
+ "h01 = Rxx[2]/Rxx[1]# #Rxx(2) = Rxx(0), Rxx(3) = Rxx(1)\n",
+ "sigma_E = Rxx[1] - h01*Rxx[2]\n",
+ "sigma_X = Rxx[1]\n",
+ "print 'Predictor-error variance',sigma_E\n",
+ "print sigma_X,'Predictor input variance',sigma_X\n",
+ "if(sigma_X > sigma_E):\n",
+ " print 'The predictor-error variance is less than the variance of the predictor input'\n"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.9"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/backup/Digital_Communications_by_S._Haykin_version_backup/Chapter4.ipynb b/backup/Digital_Communications_by_S._Haykin_version_backup/Chapter4.ipynb
new file mode 100755
index 00000000..a9616b0d
--- /dev/null
+++ b/backup/Digital_Communications_by_S._Haykin_version_backup/Chapter4.ipynb
@@ -0,0 +1,134 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 4 Sampling Process"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example4.1 page 164"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Aliasing error cannot exceed max|g(t)| = 2.0\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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H6upn9dXDBHou3aTQWF6qsTeuaUqky62kiYS2iumS1gNeMrOCc69KGgAsMLNr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\nYII=\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f1df4d30f10>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "from numpy import arange,ones,sinc\n",
+ "%matplotlib inline\n",
+ "from matplotlib.pyplot import plot,xlabel,ylabel,show,title,subplot\n",
+ "\n",
+ "\n",
+ "t = arange(-1.5,0.01+2.5,0.01)\n",
+ "g = [2*sinc(2*tt-1) for tt in t]\n",
+ "print 'Aliasing error cannot exceed max|g(t)| = ',max(g)\n",
+ "f = arange(-1,0.01+1,0.01)\n",
+ "G = [0,0,0,0]+[xx for xx in ones(len(f))]+[0,0,0,0]\n",
+ "f1 = arange(-1.04,0.01+1.04,0.01)\n",
+ "subplot(3,1,1)\n",
+ "plot(t,g)\n",
+ "xlabel(' t')\n",
+ "ylabel(' g(t)')\n",
+ "title('Figure 4.8 (a) Sinc pulse g(t)')\n",
+ "subplot(3,1,3)\n",
+ "plot(f1,G)\n",
+ "xlabel(' f')\n",
+ "ylabel(' G(f)')\n",
+ "title('Figure 4.8 (b) Amplitude spectrum |G(f)|')\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example4.3 page 165"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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aM+tyH30EX/0qrLBCuny73m+u56SmPNynpn2WBXaOiOnNjZS0NDCophGZmdXQ\nJ5/AN74BvXt3/8cfWM/jmpoScU2NmXWlCPjud2HsWLjjDlh88aIj6hyuqSkP31G4AySdJWkZSX0k\n3SPp7axpysystH7yE3j8cbjllvIkNFYuTmo6ZrfsRnt7kzoJr026f42ZWSmdfTbcdFOqoVlqqaKj\nMWue+9R0TNN62xu4ISKmSXK7j5mV0qWXwp/+BKNGpc7BZt2Va2raQdI/spe3ShoLbA7cI2kl4IPi\nIjMz6xrXXQeDB8M//gFrrFF0NGatc0fhdpA0JiI2zV4vD0yNiE8kLQksFRFvFhyfOwqbWae59VY4\n5hi4+27YuMUHu9Q/dxQuDzc/tc8ykr5GujdNwNxHGJC9H1FUYGZmnenuu9OdgkeOLHdCY+XipKZ9\nlgH2aWW8kxozq3ujRsFhh8GIEbDFFkVHY1Y9Nz+1Q775qTty85OZLaxHH4W994ZrrkmPQegJ3PxU\nHu4obGZmADzzDOyzDwwd2nMSGisXJzXtM1XS9yWtX3QgZmad6fnnYffd4YILUk2NWT1y81M7SFoV\n2APYHVgPGA3cAfwzImYWGRu4+cnMOmbsWNhpJzjrrNSXpqdx81N5OKnpIEm9gK2BPYGdSPepuSsi\nfldgTE5qzKxd/vtf2HFHOPPM9KDKnshJTXm4+akdJB3X9DoiPomIhyLijIj4EnAw8Hob8w+VNEnS\nsy2MX1/Sw5I+kHRyxbg9JI2V9F9JP+qM8phZz/bSS7DzzvDzn/fchMbKxTU17bCwVz9J2h6YAVwZ\nEQvc+UHSisCawFeAKRFxTja8F/BvYBdS4vQYcEhEvFgxv2tqzKwq48dDQwOcdhp861tFR1Ms19SU\nh2tqaigiRgFTWhk/OSIeBz6uGLUVMC4iXomIj4Frgf26LlIzK7PXXks1ND/8oRMaKxfffK99NpE0\nvYVxERFLd9Hnrg5MyL2fSOrPY2bWLq+8kjoFn3gifO97RUdj1rmc1LTPMwXdfM9tSma20MaPTwnN\nSSfB8ccXHY1Z53NSUx9eB/rn3vcn1dYsYMiQIXNfNzQ00NDQ0JVxmVmdePnllNCccopraBobG2ls\nbCw6DOsC7ijcDpJOi4hfLeQyBgC3NtdRODfNEGB6rqNwb1JH4Z2B/wGP4o7CZlall15KCc2PfgTf\n/W7R0XQ/7ihcHq6paZ9FJa0cEZOaG5ndnO/bETG4hfHDgR2AFSRNAAYDfQAi4mJJq5CubFoamCPp\nRGDDiJjmEXnDAAAc7UlEQVSRXU5+F9ALuKwyoTEza864cSmhOf10dwq28nNNTTtI2hs4GVgUeBJ4\nAxCwCrAZ8CFwdkSMLCg+19SY2Vz//nd6htMZZ8CxxxYdTfflmprycFLTAZL6A18CPp0NehV4MCKa\n7edSK05qzKzJc8+lZzmdeSYMGlR0NN2bk5rycFJTIk5qzAzgySdh4EA47zw4+OCio+n+nNSUh2++\n1w6SPp97vaikMyTdKulXkpYoMjYzM4DRo2HPPeHCC53QWM/jpKZ9Ls+9/g2wNnAOsARwUREBmZk1\nGTUK9tkHhg2Dr3616GjMas9XP3XczsCWEfGRpPuBZ4oOyMx6rn/+Ew49FIYPT49AMOuJnNS0zzKS\nvka64ulTEfERpOcjSHJnFjMrxN//nq5uuvFG2H77oqMxK46TmvZ5ANgne/2gpFUi4s3s/jSTC4zL\nzHqoq65KD6a8807YbLOiozErlq9+KhFf/WTWs/zpT/Db38Jdd8EGGxQdTf3y1U/l4ZqaTtJUa1N0\nHGZWfhHw61+nDsEPPAADBhQdkVn34KufOs9lRQdgZuUXkZ7hNHy4ExqzSm5+KhE3P5mV2+zZ6flN\nzz0Hd9wByy1XdETl4Oan8nDzUwdIWhlYAwjg9ZYecGlm1lnefz/dTO/DD+Gee6Bv36IjMut+nNS0\ng6RNgQuBfkDTc57WkDQV+G5EPFlYcGZWWlOnwr77whprwPXXw6KLFh2RWffk5qd2kPQ0cGxEjK4Y\nvg1wcUR8vvk5a8PNT2bl88YbsMcesMMO6VlOi7gnZKdz81N5+PBonyUqExqAiHgEWLKAeMysxMaN\ng+22g4MOgvPPd0Jj1hY3P7XPHZJGAlcAE0h3Fu4PHAncWWRgZlYujz0G++0HgwenzsFm1jY3P7WD\nJAF7AvsCq2eDXwduiYiRVcw/FNgLeCsiNm5hmj9knzELGBQRY7LhpwKHA3OAZ4GjIuLDinnd/GRW\nAiNHwje+AZddlvrSWNdy81N5OKmpIUnbAzOAK5tLaiQNBI6LiIGStgbOj4htJA0A7gU2iIgPJf0N\nGBkRV1TM76TGrM5ddhmcfjrcdBNsu23R0fQMTmrKwy207SBpqKQtWxm/taRhLY2PiFHAlFY+Yl9S\n0xZZ351+2eXj7wEfA0tI6g0sQaohMrOSiICf/QzOPDPdVM8JjVn7uU9N+5wLnJJd7fRv4A1Sv5pV\ngPWAh4CzF2L5q5P66jSZCKweEU9KOgd4DXgfuCsi/rkQn2Nm3cjs2fCd78CYMfDQQ7DKKkVHZFaf\nnNS0Q0Q8CxwpaTFgU2BN0g34XgWejogPOuFjFqgClbQ28H/AAGAacL2kwyLir53weWZWoOnT09VN\nAI2Nvqme2cJwUtMxvYHHsku5kdQLWKwTlvs66WqqJmtkwxqAhyLinezzRgBfBBZIaoYMGTL3dUND\nAw0NDZ0Qlpl1hYkTYa+9UlPTH/8IvX1GronGxkYaGxuLDsO6gDsKd4Ck0cDOETEje78UqUnoi1XM\nOwC4tYqOwtsA52Udhb8AXA1sCXwAXA48GhF/qpjfHYXN6sRTT8E++8AJJ8APfgByN9XCuKNwefh3\nQccs1pTQAETEdElLtDWTpOHADsAKkiYAg4E+2TIujoiRkgZKGgfMBI7Kxj0l6UrgcdIl3U8Cf+ns\nQplZbYwcCYMGwZ//DAccUHQ0ZuXhmpoOkPQgcEJEPJG93wK4ICIKvV7BNTVm3d+f/wy/+AWMGOEr\nnLoL19SUh2tqOub/gOskvZG9XxX4eoHxmFk3N3s2nHQS3H03/OtfsPbaRUdkVj6uqekgSYuSLuMO\n4N8R8XHBIbmmxqybmjYNvv71dC+av/0N+vUrOiLLc01Nefjmex23BbAJsDlwiKQjC47HzLqhl19O\nzUzrrAO33+6ExqwrufmpAyRdDXwGeAr4JDfqymIiMrPuaNQoOPBAOOMM+N73io7GrPyc1HTM5sCG\nbusxs5YMGwY/+hFcfTXstlvR0Zj1DE5qOuY5Uufg/xUdiJl1L7Nnw8knwx13pGc4rb9+0RGZ9RxO\najpmReAFSY8CH2bDIiL2LTAmMyvYO++kRx4suig8+qj7z5jVmpOajhlSdABm1r089xzstx/svz/8\n+tfQq1fREZn1PL6ku0R8SbdZMf7+dzj2WDj3XDjssKKjsfbyJd3l4ZqadpD0YER8SdIM0v1p8iIi\nli4iLjMrxiefwM9+Bpdfnh59sMUWRUdk1rM5qWmHiPhS9r9v0bGYWbGmTEm1MrNmwWOPwcorFx2R\nmfnmex0gaW1Ji2evd5R0giR3CTTrIZ55BrbcMl3ZdPfdTmjMugsnNR0zApgtaR3gYqA/cE2xIZlZ\nLVxzDey8M/z85/D730OfPkVHZGZN3PzUMXMiYrakr5Gezn2BpDFFB2VmXeejj+CHP4Rbb4V77oFN\nNik6IjOr5KSmYz6SdChwJLBPNsy/18xKauLEdP+Z5ZeHxx+HZZctOiIza46bnzrmaGBb4MyIGC9p\nLeCqgmMysy5w992p/8y++8LNNzuhMevOfJ+adpD0F+AO4J8RMb0D8w8F9gLeioiNW5jmD8CewCxg\nUESMyYb3Ay4FNiJdTn50RDxSMa/vU2PWSebMgV/+Ei66CP76V9hxx6Ijsq7i+9SUh5uf2mcoKeE4\nSdLHwF3AnRHxdJXzDwMuoIWneUsaCKwTEZ+VtDVwIbBNNvp8YGREHCCpN7DkQpTDzFrx9ttwxBEw\nc2ZqblpttaIjMrNquPmpHSLikYgYHBHbAwcBE4CTJT0laZikg9qYfxQwpZVJ9gWuyKYdDfSTtLKk\nZYDtI2JoNm52REzrjDKZ2fweeAA23TR1BL7nHic0ZvXENTUdFBFvky7jvkaSgFOAzy7kYlcnJUpN\nJgJrAJ8AkyUNAz4PPAGcGBGzFvLzzCzzySfpmU1//CMMGwZ77ll0RGbWXk5qOkFEhKTjI6J/Jyyu\nsl03SNtpM+C4iHhM0nnAj4GfVs48ZMiQua8bGhpoaGjohJDMym3SJDj8cPjwQ3jiCVh99aIjsq7U\n2NhIY2Nj0WFYF3BH4XaQ9Gwro9eLiEWrWMYA4NbmOgpLughojIhrs/djgR1Iic7DEbFWNnw74McR\nsXfF/O4obNZO99wDRx4JRx8NgwdDb//U63HcUbg8fPi2z0rAHjTfL+ahTlj+LcBxwLWStgGmRsQk\nAEkTJK0bEf8BdgGe74TPM+uxPv4YzjgDrroqPZBy112LjsjMFpaTmva5HejbdJl1nqT725pZ0nBS\nzcsKkiYAg8lu2hcRF0fESEkDJY0DZgJH5WY/HvirpEWBlyrGmVk7jBsHhx4KK60EY8ak/2ZW/9z8\nVCJufjJrXUSqmTn5ZPjpT+G440BudOjx3PxUHq6pMbMeYdo0+O53U82Mn91kVk6+T42Zld7998Pn\nPw9LL51upueExqycXFNjZqX14YepM/DVV8Mll8BeexUdkZl1JSc1ZlZKzz2X7j2z1lrw9NOw4opF\nR2RmXc3NT2ZWKnPmwO9/nx5AeeKJMGKEExqznsI1NWZWGi+9BEcdla5yGj0aPvOZoiMys1pyTY2Z\n1b05c+DPf4att4avfAUaG53QmPVErqkxs7r22mvpEQfTp8O//gXrr190RGZWFNfUmFldioBLL4XN\nN4edd4YHH3RCY9bTuabGzOrO+PFwzDHphnr33gsbL/B4WDPriVxTY2Z145NP4PzzYcstYbfd4OGH\nndCY2TyuqTGzujB2LHzzm7DIIvDQQ7DuukVHZGbdjWtqzKxb++gj+OUvYbvt4JBD0iMPnNCYWXNc\nU2Nm3daDD8Kxx6a7Aj/5JHz600VHZGbdmZMaM+t2pk6FU0+Fm29OfWgOOACkoqMys+7OzU9m1m1E\nwA03wEYbpdcvvAAHHuiExsyq45qaGpI0FNgLeCsimr1mQ9IfgD2BWcCgiBiTG9cLeByYGBH71CBk\ns5oZNw6OOw4mToS//S31oTEzaw/X1NTWMGCPlkZKGgisExGfBY4FLqyY5ETgBSC6LEKzGvvgAxgy\nBLbZBnbZBcaMcUJjZh3jpKaGImIUMKWVSfYFrsimHQ30k7QygKQ1gIHApYAr460U7roLPvc5eO65\nlMz84AfQp0/RUZlZvXLzU/eyOjAh935iNmwScC5wCrB0AXGZdarx4+Gkk+CZZ+CPf4Q99yw6IjMr\nAyc13U9lLYwk7U3qhzNGUkNrMw8ZMmTu64aGBhoaWp3crKZmzYLf/Ab+9KeU1AwfDosvXnRU1tM0\nNjbS2NhYdBjWBRTh7hm1JGkAcGtzHYUlXQQ0RsS12fuxQANwAnAEMBtYnFRbc2NEHFkxf3h7WncU\nATfeCCefDNtuC2edBf37Fx2VWSKJiHCzfgm4pqZ7uQU4DrhW0jbA1Ih4Ezgt+0PSDsAPKhMas+7q\n6adTrczkyXDllbDDDkVHZGZl5aSmhiQNB3YAVpA0ARgM9AGIiIsjYqSkgZLGATOBo1pYlKtjrNt7\n80044wy49VYYPDg9Vbu3zzhm1oXc/FQibn6y7uCDD+Dcc+Gcc+Coo+D006Ffv6KjMmuZm5/Kw7+b\nzKxTzJmTbpp36qmw2WbwyCOwzjpFR2VmPYmTGjNbaPfdB6ecAossAldc4X4zZlYMJzVm1mHPPQc/\n+hGMHQu//rWf02RmxfIdhc2s3V57DY4+GnbeGXbfHV58EQ46yAmNmRXLSY2ZVe2tt+D//g823RRW\nXRX+8x844QRYdNGiIzMzc1JjZlWYOjVdnr3BBulGei+8AGeeCcssU3RkZmbzOKkxsxbNmJEea7Du\nujBxIjz5JJx/Pqy8ctGRmZktyB2FzWwBM2em5zOdcw7suCPcf3+qpTEz686c1JjZXLNmwYUXpmcz\nffnLcO+9sNFGRUdlZlYdJzVmxowZcNFFqWbmS1+Cu++GjRd45KqZWffmpMasB5s6FS64IP3ttBPc\ndRdssknRUZmZdYw7Cpv1QJMnp2cyrb02vPwyjBoF117rhMbM6puTGrMeZPx4OO44WG89eOcdePxx\nGDYsvTczq3dOasx6gDFj4NBDYcstYaml0n1mLroI1lqr6MjMzDqPkxqzkopIHX533x323jvdBfjl\nl9MzmlZZpejozMw6nzsKm5XMBx/ANdfAueemxOakk+CWW2CxxYqOzMysa7mmpoYkDZU0SdKzrUzz\nB0n/lfS0pE2zYf0l3SfpeUnPSTqhdlFbvXjrLfjZz2DAALj+evj97+HZZ9ODJ53QmFlP4KSmtoYB\ne7Q0UtJAYJ2I+CxwLHBhNupj4PsRsRGwDfA9Sb6/qwHw2GPwjW+kzr6vv55umHfHHbDrrn5qtpn1\nLE5qaigiRgFTWplkX+CKbNrRQD9JK0fEmxHxVDZ8BvAisFpXx2vd14cfwtVXwzbbwIEHprv+jhsH\nf/kLbLhh0dGZmRXDfWq6l9WBCbn3E4E1gElNAyQNADYFRtcyMOsexo+HSy6BoUPTHX9POw322gt6\n9So6MjOz4jmp6X4qGwxi7gipL3ADcGJWY7OAIUOGzH3d0NBAQ0ND50doNTV7Ntx+e7oE+7HH4PDD\n4b77/IBJs45qbGyksbGx6DCsCygi2p7KOk1W03JrRCzwZB1JFwGNEXFt9n4ssENETJLUB7gNuCMi\nzmth2eHtWR6vvppqZC67DNZcE771rdTU9KlPFR2ZWblIIiLcA60E3Keme7kFOBJA0jbA1CyhEXAZ\n8EJLCY2VwwcfwPDhqZPv5pvDu++mTr8PPghHHumExsysNa6pqSFJw4EdgBVI/WQGA30AIuLibJo/\nkq6QmgkcFRFPStoOeAB4hnnNUadGxJ0Vy3dNTR2KgCeegMsvT89f2nzzdBn2fvvB4osXHZ1Z+bmm\npjyc1JSIk5r68tpr6Qqmq66Cjz5KNTGDBqWmJjOrHSc15eGOwmY1NHUqjBiREplnnkl9ZC67DLbd\n1veUMTNbWK6pKRHX1HRPM2fCbbelpqV774WddoIjjkiXYvtOv2bFc01NeTipKREnNd3H++/DP/4B\nf/sbjByZbpJ38MHw1a/CMssUHZ2Z5TmpKQ8nNSXipKZYM2akK5VuuAHuuis9Ffugg2D//WGllYqO\nzsxa4qSmPJzUlIiTmtp7++1UE3PTTXDPPalvzP77w1e+4kTGrF44qSkPJzUl4qSmNsaNg5tvhltu\ngTFjYOed0+XX++4Lyy1XdHRm1l5OasrDSU2JOKnpGh99BKNGpaalkSNhyhTYZ5+UxOy8s2+IZ1bv\nnNSUh5OaEnFS03leew3uvDMlMvfeC+uvDwMHwp57whZbwCK+F7dZaTipKQ8nNSXipKbjpk6Fxka4\n++70N3Uq7LJLSmR23x1WXLHoCM2sqzipKQ8nNSXipKZ6M2ak5yndf3964vVzz6VOvrvumv422cS1\nMWY9hZOa8nBSUyJOalo2dSo8/DA88ECqkXn2WdhsM2hogB12gC99yc9ZMuupnNSUh5OaEnFSk0TA\n+PGpJqbp75VXUl+Y7beHHXdMN8NzB18zAyc1ZeKkpkR6alLz7rvw2GMwejQ8+mj669071b40/X3h\nC9CnT9GRmll35KSmPJzUlEhPSGreeivdG+bJJ+f9f+st2Hxz2Hpr2Gqr9Lf66n5ApJlVx0lNeTip\nKZEyJTUffghjx6a+L88+mzryPv106uC72WbpEQRN/9dbD3r1KjpiM6tXTmrKw0lNDUkaCuwFvBUR\nG7cwzR+APYFZwKCIGJMN3wM4D+gFXBoRv21m3rpLaqZNg3//OyUw+b/x4+Ezn4GNN4bPfS7933hj\nWGst18CYWedyUlMeTmpqSNL2wAzgyuaSGkkDgeMiYqCkrYHzI2IbSb2AfwO7AK8DjwGHRMSLFfN3\nu6Rmzhx480149VV46aV5f+PGpf8zZ6aalvXXn/e33nrpb7HF5l9WY2MjDQ0NhZSjFly++lbm8pW5\nbOCkpkx6Fx1ATxIRoyQNaGWSfYErsmlHS+onaRVgLWBcRLwCIOlaYD/gxZYWVAuzZ8OkSfC//8Eb\nb6T///sfTJiQkphXX4WJE6FfP1hzTVh77fS3445wzDHp9aqrVl/zUvYTq8tX38pcvjKXzcrFSU33\nsjowIfd+YjZstWaGb90ZHxgBs2alviozZsB776V7ukydmp5x1PT/7bdh8uT5/6ZOhRVWgNVWS3+r\nrpr+ttsODj00JTL9+/vSaTMzqw0nNd1Pp1aBXnopXH89vP9+Sl7ef3/e65kz0//FF4cll4S+fWGp\npWDZZVPtSr9+6fUyy6R+LSuuOP/f8sunS6fNzMy6A/epqbGs+enWFvrUXAQ0RsS12fuxwA6k5qch\nEbFHNvxUYE5lZ2FJ3phmZh3gPjXl4N/Z3cstwHHAtZK2AaZGxCRJ7wCfzRKi/wFfBw6pnNkHpZmZ\n9WROampI0nBSzcsKkiYAg4E+ABFxcUSMlDRQ0jhgJnBUNm62pOOAu0iXdF9WeeWTmZlZT+fmJzMz\nMyuFRYoOwNpP0h6Sxkr6r6QftTDNH7LxT0vatNYxLoy2yidpfUkPS/pA0slFxLgwqijfYdl2e0bS\ng5I2KSLOjqqifPtl5Rsj6QlJOxURZ0dUc+xl020pabakr9UyvoVVxbZrkDQt23ZjJP2kiDg7qspz\nZ0NWtuckNdY4RFtYEeG/OvojNT+NAwaQmq6eAjaomGYgMDJ7vTXwSNFxd3L5VgS2AH4JnFx0zF1Q\nvm2BZbLXe5Rw+y2Ze70x6R5MhcfeGWXLTXcvcBuwf9Fxd/K2awBuKTrWLixfP+B5YI3s/QpFx+2/\n9v25pqb+bEV2I76I+BhouhFf3nw38QP6SVq5tmF2WJvli4jJEfE48HERAS6kasr3cERMy96OBtao\ncYwLo5ryzcy97Qu8XcP4FkY1xx7A8cANwORaBtcJqi1fvV6QUE35DgVujIiJABFRL/umZZzU1J+W\nbtDX1jT18sVYTfnqWXvL901gZJdG1LmqKp+kr0h6EbgDOKFGsS2sNssmaXXSF+WF2aB66rRYzbYL\n4ItZ8+FISRvWLLqFV035PgssJ+k+SY9LOqJm0Vmn8NVP9afak2Tlr6l6ObnWS5wdVXX5JO0IHA18\nqevC6XRVlS8i/g78PXse2lXAel0aVeeopmznAT+OiJAk6qtWo5ryPQn0j4hZkvYE/g6s27VhdZpq\nytcH2AzYGVgCeFjSIxHx3y6NzDqNk5r68zrQP/e+P+kXR2vTrJENqwfVlK+eVVW+rHPwJcAeETGl\nRrF1hnZtv0jPQ+stafmIeKfLo1s41ZRtc9J9pgBWAPaU9HFE3FKbEBdKm+WLiOm513dI+rOk5SLi\n3RrFuDCq2X4TgLcj4n3gfUkPAJ8HnNTUCTc/1Z/HyW7EJ2lR0o34Kk+YtwBHAuRv4lfbMDusmvI1\nqadfwU3aLJ+kTwMjgMMjYlwBMS6Masq3dlaLgaTNAOogoYEqyhYRn4mItSJiLVK/mu/USUID1W27\nlXPbbivSbUHqIaGB6s4tNwPbSeolaQnShRYv1DhOWwiuqakz0cKN+CR9Kxvf4k386kE15VN6cvlj\nwNLAHEknAhtGxIzCAq9SNeUDfgosC1yYfX98HBFbFRVze1RZvv2BIyV9DMwADi4s4Haosmx1q8ry\nHQB8R9JsYBZ1su2g6nPnWEl3As8Ac4BLIsJJTR3xzffMzMysFNz8ZGZmZqXgpMbMzMxKwUmNmZmZ\nlYKTGjMzMysFJzVmZmZWCk5qzMzMrBSc1JiVlKRPJI2R9JykpySd1HTjtDbmO60W8VV85gBJz1Y5\n7fJZucZIekPSxNz73tk0F0m6Nxv2vKRZuWm+1rWlMbOi+D41ZiUlaXpELJW9XhG4BngwIoZUO1+t\nSBoA3BoRG7dzvsHA9Ij4fcXwMcBm2TOY1gRua++yzaz+uKbGrAeIiMnAscBxAJIGSbqgabyk2yTt\nIOk3wKeyGo2rJf0su2Nz03RnSlrgqdqSjsye3PyUpCsk9ZX0cq7mZOnsfS9J60j6ZzbtE5LWqlhW\nL0lnSXo0W+axbRRvvtonSRsA/4l5v9iUG7eRpNFZ+Z6WtE4168/M6oMfk2DWQ0TE+CxhWIkFn1gc\naZL4saTvRcSmAFktxwjgfEmLkJ6Xs2V+RkkbAacD20bEu5L6RcQMSY3AXqTn6RwM3BgRn0j6K/Cr\niLg5ewZPL2Dl3CK/SXpe2VaSFgP+JekfEfFKlUXdE7ijhXHfBs6PiGuyhMvnQLMScU2NWc8TVPkw\n0Ih4FXhH0heA3YAnm3lq+E7AdU0PNoyIqdnwS5n33LFBwDBJSwGrRcTN2bQfZU9EztuN9GyoMcAj\nwHJAe2pUdgPubGHcQ8Bpkn4IDIiID9qxXDPr5vwrxayHkPQZ4JOImJw9kDD/o2bxVmZtSk5WBoY2\nM77ZJCkiHso6ADcAvSLihSypqcZxEXF3ldPOlT1ZuV9EvNnc+IgYLukRYG9gpKRvRcR97f0cM+ue\nXFNj1gNkHYUvApr60YwHvqCkP5B/CvjHTX1hMjcBewBbkJ5wXOle4EBJy2WftVxu3JXAX8mSoYiY\nDkyUtF827WKSPlWxvLuA7+b646ybJSvV2DGLp1mSPhMR4yPiAlKzmDsPm5WIa2rMyutTWRNOH2A2\nKcE4FyAiHpQ0HngBeBF4IjffX4BnJD0REUdExMeS7gWm5DrfzpXVwJwJ3C/pE+BJ4Ohs9DXAL4Hh\nuVmOAC6W9HPgY+CApkVl/y8FBgBPZpegvwV8tZVy5mPaE7iulWkOknR49rlvAGe2slwzqzO+pNvM\nWpV1EH4COCAiXmrnvAcA+0TEN7okuAU/7wlgq4j4pBafZ2bdi2tqzKxFkjYEbgVGdCChuQDYHRjY\nFbE1JyI2r9VnmVn345oaMzMzKwV3FDYzM7NScFJjZmZmpeCkxszMzErBSY2ZmZmVgpMaMzMzKwUn\nNWZmZlYK/x9BcGdXqAyYrQAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f05d85531d0>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "from numpy import arange,ones,sinc,pi,sin\n",
+ "%matplotlib inline\n",
+ "from matplotlib.pyplot import plot,xlabel,ylabel,show,title,subplot\n",
+ "\n",
+ "T_Ts = arange(0.01,0.01+0.6,0.01)\n",
+ "#E = 1/(sinc_new(0.5*T_Ts))#\n",
+ "E=[1]\n",
+ "for i in range(1,len(T_Ts)):\n",
+ " E.append(((pi/2)*T_Ts[i])/(sin((pi/2)*T_Ts[i])))\n",
+ "\n",
+ "plot(T_Ts,E)\n",
+ "xlabel('Duty cycle T/Ts')\n",
+ "ylabel('1/sinc(0.5(T/Ts))')\n",
+ "title('Figure 4.16 Normalized equalization (to compensate for aperture effect) plotted versus T/Ts')\n",
+ "show()\n"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.9"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/backup/Digital_Communications_by_S._Haykin_version_backup/Chapter5.ipynb b/backup/Digital_Communications_by_S._Haykin_version_backup/Chapter5.ipynb
new file mode 100755
index 00000000..d8a60805
--- /dev/null
+++ b/backup/Digital_Communications_by_S._Haykin_version_backup/Chapter5.ipynb
@@ -0,0 +1,313 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 5 Waveform Coding Techniques"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example5.1 page 187"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The average transmitted power is:\n",
+ "1.225e-05 W\n"
+ ]
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "\n",
+ "sigma_N = 10**-6 #the noise variance\n",
+ "k = 7 # separation constant for on-off signaling\n",
+ "M = 2 # number of discrete amplitude levels for NRZ polar\n",
+ "print 'The average transmitted power is:'\n",
+ "P = (k**2)*(sigma_N)*((M**2)-1)/12#\n",
+ "print P,\"W\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example5.2 page 189"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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XO5SN/J3ZzjnXjEx8eyJfGvol2qn5nJ4LGomk2yQtjo0LZsaNlbRQ0tTYHZmY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\n0lWSpscXmAyN4ze7wouJPoR3fBwYrx4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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f6de42cc750>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "%matplotlib inline\n",
+ "from matplotlib.pyplot import plot,xlabel,ylabel,show,title,subplot\n",
+ "\n",
+ "\n",
+ "from math import log\n",
+ "def log2(x):\n",
+ " return log(x,2)\n",
+ "\n",
+ "\n",
+ "#Channel Capacity theorem\n",
+ "P_NoB_dB = range(-20,30) #Input signal-to-noise ratio P/NoB, decibels\n",
+ "P_NoB = [10**(xx/10) for xx in P_NoB_dB]\n",
+ "k =7# # for M-ary PCM system#\n",
+ "Rb_B = [log2(1+(12/k**2))*yy for yy in P_NoB]##bandwidth efficiency in bits/sec/Hz\n",
+ "C_B = [log2(1+xxx) for xxx in P_NoB]##ideal system according to Shannon's channel capacity theorem\n",
+ "#plot\n",
+ "plot(P_NoB_dB,C_B)\n",
+ "plot(P_NoB_dB,Rb_B)\n",
+ "xlabel('Input signal-to-noise ratio P/NoB, decibels')\n",
+ "ylabel('Bandwidth efficiency, Rb/B, bits per second per hertz')\n",
+ "title('Figure 5.9 Comparison of M-ary PCM with the ideal ssytem')\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example5.3 page 192"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Channel width = 32000.00 Hz\n",
+ "Output Signal to noise ratio = 40.80 dB\n"
+ ]
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "\n",
+ "#Channel Bandwidth B\n",
+ "n = 8 # no. of bits used to encode\n",
+ "W = 4000 # the message signal banwidth in Hz\n",
+ "B = n*W#\n",
+ "print 'Channel width = %.2f Hz'%B\n",
+ "SNRo = 6*n - 7.2#\n",
+ "print 'Output Signal to noise ratio = %.2f dB'%SNRo\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 5.5 Page 207"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Maximum output signal-to-nosie = -5.17 dB for Delta Modualtion:\n"
+ ]
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "from numpy import pi,log10\n",
+ "\n",
+ "a0 = 1 # The amplitude of sinusoidal signal\n",
+ "f0 = 4000 # the frequency of sinusoidal signal in Hz:\n",
+ "fs = 8000 # the sampling frequency in samples per seconds\n",
+ "Ts = 1/fs##Sampling interval\n",
+ "delta = 2*pi*f0*a0*Ts##Step size to avoid slope overload\n",
+ "Pmax = (a0**2)/2##maximum permissible output power\n",
+ "sigma_Q = (delta**2)/3##Quantization error or noise variance\n",
+ "W = f0##Maximum message bandwidth\n",
+ "N = W*Ts*sigma_Q# #Average output noise power\n",
+ "SNRo = Pmax/N# # Maximum output signal-to-noise ratio\n",
+ "SNRo_dB = 10*log10(SNRo)#\n",
+ "print 'Maximum output signal-to-nosie = %.2f dB for Delta Modualtion:'%SNRo_dB"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 5.13(a) page 215"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fe0db41f650>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "from numpy import arange,sign\n",
+ "from sympy import log\n",
+ "%matplotlib inline\n",
+ "from matplotlib.pyplot import plot,xlabel,ylabel,show,title,subplot\n",
+ "\n",
+ "#Caption:u-Law companding\n",
+ "#Figure5.13(a)Mulaw companding Nonlinear Quantization\n",
+ "#Plotting mulaw characteristics for different \n",
+ "#Values of mu\n",
+ "\n",
+ "x = arange(0,0.01+1,0.01)# #Normalized input\n",
+ "mu = [0,5,255]##different values of mu\n",
+ "def mulaw(x,mu):\n",
+ " \"\"\"\n",
+ " F(x) = sgn(x) ln(1 + μ|x|) / ln (1 + μ)\n",
+ " -1 <= x <= 1\n",
+ " \"\"\"\n",
+ " f=sign(x)*log(1+mu*abs(x))/log(1+mu)\n",
+ " return f\n",
+ "Cx=[]\n",
+ "\n",
+ "for i in range(0,len(mu)):\n",
+ " Cx.append(mulaw(x[i],mu[i]))\n",
+ " plot(Cx)\n",
+ "title('Compression Law: u-Law companding')\n",
+ "xlabel('Normalized Input |x|')\n",
+ "ylabel('Normalized Output |c(x)|')\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 5.13(b) page 216"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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RiHixyO1vCLwZEVMAJF0P7ARMblHuV8DNuCtws/L33HNw6KHwt7/B0kvnHY2V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\nFSQ9VMQ2pvR2XNa/OTlY3uY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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f35a637abd0>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "from numpy import arange,sign,log\n",
+ "\n",
+ "%matplotlib inline\n",
+ "from matplotlib.pyplot import plot,xlabel,ylabel,show,title,subplot\n",
+ "\n",
+ "#Caption:A-law companding\n",
+ "#Plotting A-law characteristics for different \n",
+ "#Values of A\n",
+ "\n",
+ "x = arange(0,0.01+1,0.01)# #Normalized input\n",
+ "A = [1,2,87.56]##different values of A\n",
+ "\n",
+ "\n",
+ "def Alaw(x,a):\n",
+ " \"\"\"F(x) = sgn(x) A |x| / (1 + lnA) for 0 ≤|x| < 1/A\n",
+ " \n",
+ "= sgn(x) (1+ln A|x|) /(1 + lnA) for 1/A ≤|x| ≤ 1\n",
+ "\"\"\"\n",
+ " if abs(x) >= 0 and abs(x) < 1/a:\n",
+ " f = sign(x)*a*abs(x)/(1+log(a))\n",
+ " elif abs(x) >= 1/a and abs(x) <=1: \n",
+ " f = sign(x)*(1+log(a*abs(x))/(1+log(a)))\n",
+ " else:\n",
+ " f = 'Wrong parameters'\n",
+ " return f\n",
+ "Cx=[]\n",
+ "for i in range(0,len(A)):\n",
+ " #[Cx(i,:),Xmax(i)] = Alaw(x,A(i))#\n",
+ " Cx.append(Alaw(x[i],A[i]))\n",
+ " plot(Cx)\n",
+ " \n",
+ "title('Compression Law: A-Law companding')\n",
+ "xlabel('Normalized Input |x|')\n",
+ "ylabel('Normalized Output |c(x)|')\n",
+ "show()"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.9"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/backup/Digital_Communications_by_S._Haykin_version_backup/Chapter6.ipynb b/backup/Digital_Communications_by_S._Haykin_version_backup/Chapter6.ipynb
new file mode 100755
index 00000000..976b94b3
--- /dev/null
+++ b/backup/Digital_Communications_by_S._Haykin_version_backup/Chapter6.ipynb
@@ -0,0 +1,513 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 6 Baseband Shaping For Data Transmission"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 6.1(a) page 235"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fc3cc0e5790>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "%matplotlib inline\n",
+ "from matplotlib.pyplot import plot,grid,title,show\n",
+ "\n",
+ "#Figure 6.1(c):Discrete PAM Signals Generation\n",
+ "# [3].BiPolar NRZ\n",
+ "#page 235\n",
+ "x = [0, 1, 1, 0, 0, 1 ,0 ,0 ,1 ,1]\n",
+ "binary_negative = [-1, -1 ,-1 ,-1 ,-1 ,-1 ,-1 ,-1 ,-1, -1]\n",
+ "binary_zero = [0 ,0 ,0 ,0 ,0, 0 ,0 ,0 ,0 ,0]\n",
+ "binary_positive = [1, 1 ,1 ,1 ,1 ,1 ,1 ,1 ,1 ,1]\n",
+ "L = len(x)\n",
+ "L1 = len(binary_negative)\n",
+ "total_duration = L*L1\n",
+ "#plotting\n",
+ "for i in range(0,L):\n",
+ " if(x[i]==0):\n",
+ " plot(range(i*L-L,i*L),binary_zero)\n",
+ " \n",
+ " elif((x[i]==1) and (x[i-1]!=1)):\n",
+ " plot(range(i*L-L,i*L),binary_positive)\n",
+ " \n",
+ " else:\n",
+ " plot(range(i*L-L,i*L),binary_negative)\n",
+ " \n",
+ "grid()\n",
+ "title('BiPolar NRZ')\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example6.2 Page 241"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Precoder output in binary form:\n",
+ "1 \t1 \t0 \t0 \t1 \t0 \t0 \t\n",
+ "\n",
+ "Precoder output in volts:\n",
+ "1 \t1 \t-1 \t-1 \t1 \t-1 \t-1 \t\n",
+ "\n",
+ "Duobinary coder output in volts:\n",
+ "2 \t2 \t0 \t-2 \t0 \t0 \t-2 \t\n",
+ "\n",
+ "Recovered original sequence at detector oupupt:\n",
+ "0 \t0 \t1 \t0 \t1 \t1 \t0 \t"
+ ]
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "\n",
+ "b = [0,0,1,0,1,1,0]##input binary sequence:precoder input\n",
+ "a = [1^b[0]]\n",
+ "if(a[0]==1):\n",
+ " a_volts=[1]\n",
+ "\n",
+ "for k in range(1,len(b)):\n",
+ " a.append(a[(k-1)]^b[(k)])\n",
+ " if(a[(k)]==1):\n",
+ " a_volts.append(1)\n",
+ " else:\n",
+ " a_volts.append(-1)\n",
+ " \n",
+ "print 'Precoder output in binary form:'\n",
+ "for aa in a:\n",
+ " print aa,'\\t', \n",
+ "print '\\n'\n",
+ "print 'Precoder output in volts:'\n",
+ "for bb in a_volts:\n",
+ " print bb,'\\t',\n",
+ "print '\\n'\n",
+ "#Duobinary coder output in volts\n",
+ "c= [1+ a_volts[0]]\n",
+ "for k in range(1,len(a)):\n",
+ " c.append(a_volts[(k-1)]+a_volts[(k)])\n",
+ "print 'Duobinary coder output in volts:'\n",
+ "for cc in c:\n",
+ " print cc,'\\t',\n",
+ "print '\\n' \n",
+ "#Duobinary decoder output by applying decision rule\n",
+ "b_r=[]\n",
+ "for k in range(0,len(c)):\n",
+ " if(abs(c[(k)])>1):\n",
+ " b_r.append(0)\n",
+ " else:\n",
+ " b_r.append(1)\n",
+ "print 'Recovered original sequence at detector oupupt:'\n",
+ "for brr in b_r:\n",
+ " print brr,'\\t',"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example6.3 page 246 "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Modulo-2 adder output:\n",
+ "1 \t1 \t0 \t1 \t1 \t0 \t0 \t0 \t0 \t1 \t0 \t\n",
+ "Delay element output:\n",
+ "1 \t1 \t0 \t1 \t1 \t0 \t0 \t0 \t0 \t1 \t\n",
+ "differential encoder bipolar output in volts:\n",
+ "1 \t1 \t0 \t1 \t1 \t0 \t0 \t0 \t0 \t1 \t"
+ ]
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "#for generating bipolar format\n",
+ "#Refer Table 6.4\n",
+ "\n",
+ "x = [0,1,1,0,1,0,0,0,1,1]##input binary sequence:precoder input\n",
+ "y= [1]\n",
+ "for k in range(1,len(x)+1):\n",
+ " y.append(x[(k-1)]^y[(k-1)])\n",
+ "\n",
+ "y_delay = y[0:-1]\n",
+ "print 'Modulo-2 adder output:'\n",
+ "for yy in y:\n",
+ " print yy,'\\t',\n",
+ "print '' \n",
+ "print 'Delay element output:'\n",
+ "for yyy in y_delay:\n",
+ " print yyy,'\\t',\n",
+ "print '' \n",
+ "z=[]\n",
+ "for k in range(0,len(y_delay)):\n",
+ " z.append(y_delay[k])\n",
+ "print 'differential encoder bipolar output in volts:'\n",
+ "for zz in z:\n",
+ " print zz,'\\t',"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 6.4 Page 247"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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6dC3s3QtriBVpnihrOY0bw7Rp8NRTMGYMtG0L8+bBTTeVNWeNRqPRFIbZLiyb4u8PX38N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\nLJaQ+D+L1IOnq28nhgAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f2eb08bd5d0>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "from numpy import arange,sinc,sin,pi\n",
+ "%matplotlib inline\n",
+ "from matplotlib.pyplot import plot,grid,title,show,xlabel,ylabel\n",
+ "\n",
+ "\n",
+ "\n",
+ "#Different Line Coding Techniques\n",
+ "#[1].NRZ Polar Format [2].NRZ Bipolar format\n",
+ "#[3].NRZ Unipolar format [4]. Manchester format\n",
+ "\n",
+ "#[1]. NRZ Polar format\n",
+ "a = 1 # The Amplitude value\n",
+ "fb = 1 # The bit rate\n",
+ "Tb = 1/fb# #bit duration\n",
+ "f = arange(0,1/(100*Tb)+2/Tb,1/(100*Tb))\n",
+ "Sxxf_NRZ_P=[]\n",
+ "Sxxf_NRZ_BP=[]\n",
+ "Sxxf_NRZ_UP=[]\n",
+ "Sxxf_Manch=[]\n",
+ "for i in range(0,len(f)):\n",
+ " Sxxf_NRZ_P.append((a**2)*Tb*(sinc(f[i]*Tb)**2))\n",
+ " Sxxf_NRZ_BP.append((a**2)*Tb*((sinc(f[i]*Tb))**2)*((sin(pi*f[i]*Tb))**2))\n",
+ " if (i==0):\n",
+ " Sxxf_NRZ_UP.append((a**2)*(Tb/4)*((sinc(f[i]*Tb))**2)+(a**2)/4)\n",
+ " else:\n",
+ " Sxxf_NRZ_UP.append((a**2)*(Tb/4)*((sinc(f[i]*Tb))**2))\n",
+ " \n",
+ " Sxxf_Manch.append((a**2)*Tb*(sinc(f[i]*Tb/2)**2)*(sin(pi*f[i]*Tb/2)**2))\n",
+ "\n",
+ " \n",
+ "\n",
+ "#Plotting\n",
+ "plot(f,Sxxf_NRZ_P)\n",
+ "plot(f,Sxxf_NRZ_BP)\n",
+ "plot(f,Sxxf_NRZ_UP)\n",
+ "plot(f,Sxxf_Manch)\n",
+ "xlabel('f*Tb------->')\n",
+ "ylabel('Sxx(f)------->')\n",
+ "title('Power Spectral Densities of Different Line Codinig Techniques')\n",
+ "grid()\n",
+ "show()\n",
+ "#Result\n",
+ "#Enter the Amplitude value:1\n",
+ "#Enter the bit rate:1 "
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 6.6 page 249"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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HA6OrPPZwpf9/Axyd77hMYVm1Cp56Cl5/3XcktWvZ0i2l+sIL4RbYjUnHpuUwBW/0aLfI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\nXII4JV2CMMk2dSo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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fc324486a10>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "from numpy import arange,sinc,sin,pi\n",
+ "%matplotlib inline\n",
+ "from matplotlib.pyplot import plot,grid,title,show,xlabel,ylabel\n",
+ "\n",
+ "\n",
+ "#Figure 6.6(b): Ideal Solution for Intersymbol Interference\n",
+ "rb = 1 # The bit rate\n",
+ "Bo = rb/2#\n",
+ "t =arange(-3,1/100+3,1/100)\n",
+ "x = sinc(2*Bo*t)\n",
+ "plot(t,x)\n",
+ "xlabel('t------>')#\n",
+ "ylabel('p(t)------->')#\n",
+ "title('SINC Pulse for zero ISI')\n",
+ "grid()\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 6.7 page 250"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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b5m3MQVdLwkcE87OzNAyskbA0SLKzYcUKyGwzjyk9p5iDR47AqVN2fITF4oY1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\nGS5sG8F3+46x8PtUKC6meWEon6UeqtNGYjgw083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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fc30d2b9150>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "from numpy import arange,sinc,sin,pi\n",
+ "%matplotlib inline\n",
+ "from matplotlib.pyplot import plot,grid,title,show,xlabel,ylabel,legend\n",
+ "\n",
+ "#Figure6.7(b):Practical Solution for Intersymbol Interference\n",
+ "#Raised Cosine Spectrum\n",
+ "\n",
+ "rb = 1 # The bit rate\n",
+ "Tb =1/rb#\n",
+ "t =arange(-3,1/100+3,1/100)\n",
+ "Bo = rb/2#\n",
+ "Alpha =0# #Intialized to zero\n",
+ "x =t/Tb#\n",
+ "p=zeros([3,len(t)])\n",
+ "for j in range(0,3):\n",
+ " for i in range(0,len(t)):\n",
+ " if((j==2) and ((t[i]==0.5) or (t[i]==-0.5))):\n",
+ " p[j,i] = sinc(2*Bo*t[i])\n",
+ " else:\n",
+ " num = sinc(2*Bo*t[i])*cos(2*pi*Alpha*Bo*t[i])\n",
+ " den = 1-16*(Alpha**2)*(Bo**2)*(t[i]**2)+0.01\n",
+ " p[j,i]= num/den\n",
+ " \n",
+ " \n",
+ " Alpha = Alpha+0.5#\n",
+ "\n",
+ " \n",
+ "plot(t,p[0,:])\n",
+ "plot(t,p[1,:])\n",
+ "plot(t,p[2,:])\n",
+ "xlabel('t/Tb------>')\n",
+ "ylabel('p(t)------->')\n",
+ "title('RAISED COSINE SPECTRUM - Practical Solution for ISI')\n",
+ "legend(['ROlloff Factor =0','ROlloff Factor =0.5','ROlloff Factor =1'])\n",
+ "grid()\n",
+ "show()\n",
+ "#Result\n",
+ "#Enter the bit rate:1\n",
+ " "
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 6.9 Page 254"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 24,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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jUcH93n0XVltt2QRyHMdpydTVhfAef/lL6REmsswnsQ0w2Mz2jMtnAouSzmtJ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\njuM4qfw/WG7FB0YOBAAAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fc30d372dd0>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "from numpy import arange,sinc,sin,pi\n",
+ "%matplotlib inline\n",
+ "from matplotlib.pyplot import plot,grid,title,show,xlabel,ylabel\n",
+ "\n",
+ "\n",
+ "#Caption:Frequency response of duobinary conversion filter\n",
+ "#Figure6.9:Frequency Response of Duobinary Conversion filter\n",
+ "#(a)Amplitude Response\n",
+ "#(b)Phase Response\n",
+ "rb = 8 # the bit rate\n",
+ "Tb =1/rb# #Bit duration\n",
+ "f = arange(-rb/2,1/100+rb/2,1/100)\n",
+ "Amplitude_Response = [abs(2*cos(pi*ff*Tb)) for ff in f]\n",
+ "Phase_Response = [-(pi*ff*Tb) for ff in f]\n",
+ "subplot(3,1,1)\n",
+ "plot(f,Amplitude_Response)\n",
+ "xlabel('Frequency f---->')\n",
+ "ylabel('|H(f)| ----->')\n",
+ "title('Amplitude Repsonse of Duobinary Singaling')\n",
+ "subplot(3,1,3)\n",
+ "plot(f,Phase_Response)\n",
+ "xlabel(' Frequency f---->')\n",
+ "ylabel(' <H(f) ----->')\n",
+ "title('Phase Repsonse of Duobinary Singaling')\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 6.15 page 259"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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KOOOpmX1lZgMKa5aKy9KlcMQRbg7Xc86JW00gDs44w00p2Leva2JaTjzxBNx5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\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fc1e165f590>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "%matplotlib inline\n",
+ "from matplotlib.pyplot import plot,grid,title,xlabel,ylabel,show,legend,subplot\n",
+ "from numpy import arange,cos,pi,sinc,sin\n",
+ "\n",
+ "\n",
+ "#Caption:Frequency response of modified duobinary conversion filter\n",
+ "#Figure 6.15: Frequency Response of Modified duobinary conversion filter\n",
+ "#(a)Amplitude Response\n",
+ "#(b)Phase Response\n",
+ "rb = 8# the bit rate\n",
+ "Tb =1/rb# #Bit duration\n",
+ "f = arange(-rb/2,1/100+rb/2,1/100)\n",
+ "Amplitude_Response = [abs(2*sin(2*pi*ff*Tb)) for ff in f]\n",
+ "Phase_Response = [-(2*pi*ff*Tb) for ff in f]\n",
+ "subplot(3,1,1)\n",
+ "plot(f,Amplitude_Response)\n",
+ "xlabel('Frequency f---->')\n",
+ "ylabel('|H(f)| ----->')\n",
+ "title('Amplitude Repsonse of Modified Duobinary Singaling')\n",
+ "grid()\n",
+ "subplot(3,1,3)\n",
+ "plot(f,Phase_Response)\n",
+ "xlabel(' Frequency f---->')\n",
+ "ylabel(' <H(f) ----->')\n",
+ "title('Phase Repsonse of Modified Duobinary Singaling')\n",
+ "grid()\n",
+ "show()"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.9"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/backup/Digital_Communications_by_S._Haykin_version_backup/Chapter7.ipynb b/backup/Digital_Communications_by_S._Haykin_version_backup/Chapter7.ipynb
new file mode 100755
index 00000000..f83a2952
--- /dev/null
+++ b/backup/Digital_Communications_by_S._Haykin_version_backup/Chapter7.ipynb
@@ -0,0 +1,973 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "collapsed": true
+ },
+ "source": [
+ "# Chapter 7 Digital Modulation Techniques"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 7.01 page 294"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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xZiXQJcPz3wBnef//EmiRtzpHoBx5JFSrBjNnQvPmttX4R9AdZ47i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\nXOJ3OByOhOESv8PhcCSM/wdwWK/k21w2GAAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fa9141608d0>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "from numpy import arange, sin, pi,zeros\n",
+ "%matplotlib inline\n",
+ "from matplotlib.pyplot import plot,xlabel,ylabel,title,grid,show\n",
+ "#Caption:Waveforms of Different Digital Modulation techniques\n",
+ "#Figure7.1\n",
+ "#Digital Modulation Techniques\n",
+ "#To Plot the ASK, FSK and PSk Waveforms\n",
+ "f = 2 # the Analog Carrier Frequency in Hz\n",
+ "t = arange(0,1/512+1,1/512)\n",
+ "x = [sin(2*pi*f*tt) for tt in t]\n",
+ "I = [0,1,1,0,1,0,0,1] # the digital binary data\n",
+ "#Generation of ASK Waveform\n",
+ "#Xask = []#\n",
+ "Xask=zeros(len(x))\n",
+ "for n in range(0,len(I)):\n",
+ " if((I[n]==1) and (n==0)):\n",
+ " Xask = [x,Xask]#\n",
+ " elif((I[n]==0) and (n==0)):\n",
+ " Xask = [zeros(len(x)),Xask]\n",
+ " elif((I[n]==1) and (n!=1)):\n",
+ " Xask = [Xask,x]\n",
+ " elif((I[n]==0) and (n!=1)): \n",
+ " Xask = [Xask,zeros(len(x))]\n",
+ " \n",
+ "\n",
+ "#Generation of FSK Waveform\n",
+ "Xfsk = []#\n",
+ "x1 = [sin(2*pi*f*tt) for tt in t]\n",
+ "x2 = [sin(2*pi*(2*f)*tt) for tt in t]\n",
+ "for n in range(0,len(I)):\n",
+ " if (I[n]==1):\n",
+ " Xfsk = [Xfsk,x2]\n",
+ " elif (I[n]!=1):\n",
+ " Xfsk = [Xfsk,x1]\n",
+ " \n",
+ "\n",
+ "#Generation of PSK Waveform\n",
+ "Xpsk = []#\n",
+ "x1 = [sin(2*pi*f*tt) for tt in t]\n",
+ "x2 = [-sin(2*pi*f*tt) for tt in t]\n",
+ "for n in range(0,len(I)):\n",
+ " if (I[n]==1):\n",
+ " Xpsk = [Xpsk,x1]\n",
+ " elif (I[n]!=1):\n",
+ " Xpsk = [Xpsk,x2]\n",
+ " \n",
+ "plot(t,x)\n",
+ "title('Analog Carrier Signal for Digital Modulation')\n",
+ "grid()\n",
+ "show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example7.1 page 298"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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y+9k+0EdYC3DVohB5w8fe8WHqA0GCeoCylQNdpzHoZ99YmiWNEYbTZXRV4tN0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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fa91c2c7d50>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from numpy import ones,arange,cos,sin,pi\n",
+ "%matplotlib inline\n",
+ "from matplotlib.pyplot import plot,subplot,title,xlabel,ylabel,show\n",
+ "\n",
+ "M =4#\n",
+ "i = range(0,M)\n",
+ "t = arange(0,0.001+1,0.001)\n",
+ "s1=ones([len(i),len(t)])\n",
+ "s2=ones([len(i),len(t)])\n",
+ "for i in range(0,M):\n",
+ " s1[i,:] = [cos(2*pi*2*tt)*cos((2*i-1)*pi/4) for tt in t]\n",
+ " s2[i,:] = [-sin(2*pi*2*tt)*sin((2*i-1)*pi/4) for tt in t]\n",
+ "\n",
+ "S1 =[]#\n",
+ "S2 = []#\n",
+ "S = []#\n",
+ "Input_Sequence =[0,1,1,0,1,0,0,0]\n",
+ "m = [3,1,1,2]\n",
+ "for i in range(0,len(m)):\n",
+ " S1 = S1+[s1[m[i],:]]\n",
+ " S2 = S2+[s2[m[i],:]]\n",
+ "S = S1+S2#\n",
+ "subplot(3,1,1)\n",
+ "plot(S1)\n",
+ "title('Binary PSK wave of Odd-numbered bits of input sequence') \n",
+ "subplot(3,1,2)\n",
+ "plot(S2)\n",
+ "title('Binary PSK wave of Even-numbered bits of input sequence') \n",
+ "subplot(3,1,3)\n",
+ "plot(S)\n",
+ "title('QPSK waveform') \n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 7.02 page 302"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 140,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "coordinates of message points [1.0, -1.0]\n",
+ "Message points ['0b1', '0b0']\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fb1828c2f90>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from numpy import ones,arange,cos,sin,pi\n",
+ "%matplotlib inline\n",
+ "from matplotlib.pyplot import plot,subplot,title,xlabel,ylabel,show\n",
+ "\n",
+ "M =2#\n",
+ "i = range(1,M+1)\n",
+ "y = [cos(2*pi+(ii-1)*pi) for ii in i]\n",
+ "\n",
+ "annot = [bin(xx) for xx in arange(len(y)-1,-1,-1)]\n",
+ "annot = [bin(yy) for yy in arange(len(y)-1,-1,-1)]\n",
+ "\n",
+ "print 'coordinates of message points',y\n",
+ "\n",
+ "print 'Message points',annot\n",
+ "plot(y)\n",
+ "xlabel(' In-Phase')#\n",
+ "ylabel(' Quadrature')#\n",
+ "title('Constellation for BPSK')\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example7.2 page 304"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 131,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "coordinates of message points\n",
+ "[1.0, -1.0]\n",
+ "[-1.0, -1.0]\n",
+ "[-1.0, 1.0]\n",
+ "[1.0, 1.0]\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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m9p6ZfQvcCfQuMJ7XA6mgs84KTwe/+mrWkbiGOPtsOOMMTxaudpWb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\nzjmXyv8Dg9CmkODLrqIAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fb182a9ab90>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from numpy import ones,arange,cos,sin,pi\n",
+ "%matplotlib inline\n",
+ "from matplotlib.pyplot import plot,subplot,title,xlabel,ylabel,show,legend,grid,subplot\n",
+ "#Table 7.2 signal space characterization of MSK\n",
+ "\n",
+ "M =2#\n",
+ "Tb =1#\n",
+ "t1 = arange(-Tb,0.01+Tb,Tb)\n",
+ "t2 = arange(0,0.01+2*Tb,2*Tb)\n",
+ "phi1 = [cos(2*pi*t11)* cos((pi/(2*Tb))*t11) for t11 in t1]\n",
+ "phi2 = [sin(2*pi*t22)*sin((pi/(2*Tb))*t22) for t22 in t2]\n",
+ "teta_0 = [0,pi]\n",
+ "teta_tb = [pi/2,-pi/2]\n",
+ "S1 = []\n",
+ "S2 = []\n",
+ "for i in range(0,M):\n",
+ " s1.append(cos(teta_0[i]))\n",
+ " s2.append(-sin(teta_tb[i]))\n",
+ " S1 = S1+[s1[i]*phi1]\n",
+ " S2 = S2+[s2[0]*phi2]\n",
+ "\n",
+ "for i in arange(M,-1+1,1):\n",
+ " S1 = S1+[s1[i]*phi1]\n",
+ " S2 = S2+[s2(1)*phi2]\n",
+ "\n",
+ "Input_Sequence =[1,1,0,1,0,0,0]\n",
+ "S = []\n",
+ "t = arange(0,0.01+1,1)\n",
+ "S = S+[cos(0)*cos(2*pi*tt)-sin(pi/2)*sin(2*pi*tt) for tt in t]\n",
+ "S = S+[cos(0)*cos(2*pi*tt)-sin(pi/2)*sin(2*pi*tt) for tt in t]\n",
+ "S = S+[cos(pi)*cos(2*pi*tt)-sin(pi/2)*sin(2*pi*tt) for tt in t]\n",
+ "S = S+[cos(pi)*cos(2*pi*tt)-sin(-pi/2)*sin(2*pi*tt) for tt in t]\n",
+ "S = S+[cos(0)*cos(2*pi*tt)-sin(-pi/2)*sin(2*pi*tt) for tt in t]\n",
+ "S = S+[cos(0)*cos(2*pi*tt)-sin(-pi/2)*sin(2*pi*tt) for tt in t]\n",
+ "S = S+[cos(0)*cos(2*pi*tt)-sin(-pi/2)*sin(2*pi*tt) for tt in t]\n",
+ "\n",
+ "y = [[s1[0],s2[0]],[s1[1],s2[0]],[s1[1],s2[1]],[s1[0],s2[1]]]\n",
+ "print 'coordinates of message points'\n",
+ "for yy in y:\n",
+ " print yy\n",
+ " \n",
+ "\n",
+ "subplot(3,1,1)\n",
+ "plot(S1[0])\n",
+ "title('Scaled time function s1*phi1(t)')\n",
+ "#subplot(3,1,2)plot(S2[0])title('Scaled time function s2*phi2(t)')\n",
+ "subplot(3,1,3)\n",
+ "plot(S)\n",
+ "title('Obtained by adding s1*phi1(t)+s2*phi2(t) on a bit-by-bit basis') \n",
+ "show()\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 7.3 page 308"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 101,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Table 7.3 Illustrating the Generation of DPSK Signal\n",
+ "_____________________________________________________\n",
+ "\n",
+ "(bk) [1, 0, 0, 1, 0, 0, 1, 1]\n",
+ "\n",
+ "(bk_not) [0, 1, 1, 0, 1, 1, 0, 0]\n",
+ "\n",
+ "Differentially encoded sequence (dk)\n",
+ "1 \t0 \t1 \t1 \t0 \t1 \t1 \t1 \t\n",
+ "\n",
+ "Transmitted phase in radians\n",
+ "0 \t3.14159265359 \t0 \t0 \t3.14159265359 \t0 \t0 \t0 \t\n",
+ "\n",
+ "_____________________________________________________\n"
+ ]
+ }
+ ],
+ "source": [
+ "\n",
+ "bk = [1,0,0,1,0,0,1,1]##input digital sequence\n",
+ "bk_not=[]\n",
+ "for i in range(0,len(bk)):\n",
+ " if(bk[i]==1):\n",
+ " bk_not.append(0)\n",
+ " else:\n",
+ " bk_not.append(1)\n",
+ " \n",
+ "dk_1 = [ 1 and bk[0]]# #initial value of differential encoded sequence\n",
+ "dk_1_not =[ 0 and bk_not[0]]\n",
+ "dk = [dk_1[0]^dk_1_not[0]] #first bit of dpsk encoder\n",
+ "for i in range(1,len(bk)):\n",
+ " dk_1.append(dk[(i-1)])\n",
+ " if dk[(i-1)]==1:\n",
+ " xxx=0\n",
+ " else:\n",
+ " xxx=1\n",
+ " dk_1_not.append(xxx)\n",
+ " dk.append(((dk_1[i] and bk[i])^(dk_1_not[i] and bk_not[i])))\n",
+ "dk_radians=[]\n",
+ "for i in range(0,len(dk)):\n",
+ " if(dk[i]==1):\n",
+ " dk_radians.append(0)\n",
+ " elif(dk[i]==0):\n",
+ " dk_radians.append(pi)\n",
+ " \n",
+ "print 'Table 7.3 Illustrating the Generation of DPSK Signal'\n",
+ "print '_____________________________________________________'\n",
+ "print '\\n(bk)',bk\n",
+ "print '\\n(bk_not)',bk_not\n",
+ "print '\\nDifferentially encoded sequence (dk)'\n",
+ "for dd in dk:\n",
+ " print dd,'\\t',\n",
+ "print '\\n\\nTransmitted phase in radians'\n",
+ "for ddd in dk_radians:\n",
+ " print ddd,'\\t',\n",
+ "print '\\n\\n_____________________________________________________'"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 7.4 page 314"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 82,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "coordinates of message points\n",
+ "[[1, 0], [0, 1]]\n",
+ "[[1, 0], [0, 1]]\n",
+ "Message points ['0b1', '0b0']\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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27cvgwYO59tprKy2brkN7HnzwwezevZtly5aF573//vv8+Mc/Dr9OtaE9JY50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\nDEoJIpLJapIesjYxKCWISDZ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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fb18280cf90>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from numpy import ones,arange,cos,sin,pi\n",
+ "%matplotlib inline\n",
+ "from matplotlib.pyplot import plot,subplot,title,xlabel,ylabel,show,legend,grid\n",
+ "\n",
+ "M =2#\n",
+ "y = [[1,0],[0,1]]\n",
+ "annot = [bin(xx) for xx in (arange(M-1,-1,-1))]\n",
+ "print 'coordinates of message points'\n",
+ "for yy in y:\n",
+ " print y\n",
+ "\n",
+ "print 'Message points',annot\n",
+ "\n",
+ "plot(y[0])\n",
+ "plot(y[1])\n",
+ "xlabel(' In-Phase')#\n",
+ "ylabel(' Quadrature')#\n",
+ "title('Constellation for BFSK')\n",
+ "legend(['message point 1 (binary 1)','message point 2 (binary 0)'])\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 7.4. page 320"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 72,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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xxx8Z4ZdeekkrVKigmzZtyt9KXgY4e74IQC/aXYCCQG6GxZKAGiISLSIFgd7A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\naYPAq666it69e2eylOvQoQO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1ttm2X467p2+Gt28fvPCCr6XJFX7ZngGKacvgxR3DhMeA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\nQfvw9sS8F8Ob698kv7B65j+7+zHuuQe+/VbXWZo0qU7lEhm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RSshWO5l5nXERDhw44GwR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\nngAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fb1827ebe50>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from numpy import ones,arange,cos,sin,pi\n",
+ "%matplotlib inline\n",
+ "from matplotlib.pyplot import plot,subplot,title,xlabel,ylabel,show,legend,grid\n",
+ "from scipy.special import erfc\n",
+ "from math import log10,sqrt,exp\n",
+ "from __future__ import division\n",
+ "#Comparison of Symbol Error Probability\n",
+ "#of Different Digital Transmission System\n",
+ "#Eb = Energy of the bit No = Noise Spectral Density\n",
+ "Eb_No =[18,0.3162278]\n",
+ "x = arange(Eb_No[1],1/100+Eb_No[0],1./100)\n",
+ "x_dB = [10*log10(xx) for xx in x]\n",
+ "Pe_BPSK=ones(len(x))\n",
+ "Pe_BFSK=ones(len(x))\n",
+ "Pe_DPSK=ones(len(x))\n",
+ "Pe_NFSK=ones(len(x))\n",
+ "Pe_QPSK_MSK=ones(len(x))\n",
+ "for i in range(0,len(x)):\n",
+ " #Error Probability of Coherent BPSK \n",
+ " Pe_BPSK[i]= (1/2)*erfc(sqrt(x[i]))#\n",
+ " #Error Probability of Coherent BFSK\n",
+ " Pe_BFSK[i]= (1/2)*erfc(sqrt(x[i]/2))#\n",
+ " #Error Probability Non-Coherent PSK = DPSK \n",
+ " Pe_DPSK[i]= (1/2)*exp(-x[i])#\n",
+ " #Error Probability Non-Coherent FSK\n",
+ " Pe_NFSK[i]= (1/2)*exp(-(x[i]/2))#\n",
+ " #Error Probability of QPSK & MSK\n",
+ " Pe_QPSK_MSK[i]= erfc(sqrt(x[i]))-((1/4)*(erfc(sqrt(x[i]))**2))\n",
+ "\n",
+ "plot(x_dB,Pe_BPSK)\n",
+ "plot(x_dB,Pe_BFSK)\n",
+ "plot(x_dB,Pe_NFSK)\n",
+ "plot(x_dB,Pe_QPSK_MSK)\n",
+ "xlabel('Eb/No in dB ---->')\n",
+ "ylabel('Probability of Error Pe--->')\n",
+ "title('Comparison of Noise Performance of different PSK & FSK Scheme')\n",
+ "legend(['BPSK','BFSK','DPSK','Non-Coherent FSK','QPSK & MSK'])\n",
+ "grid()\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 7.06 page 324"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 63,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Table 7.7 Bandwidth Efficiency of M-ary PSK signals\n",
+ "______________________________________________________\n",
+ "M\n",
+ "[2, 4, 8, 16, 32, 64]\n",
+ "______________________________________________________\n",
+ "r in bits/s/Hz\n",
+ "[0.5, 1.0, 1.5, 2.0, 2.5, 3.0]\n",
+ "______________________________________________________\n"
+ ]
+ }
+ ],
+ "source": [
+ "from math import log\n",
+ "\n",
+ "#Bandwidth Efficiency of M-ary PSK signals\n",
+ "M = [2,4,8,16,32,64]##M-ary\n",
+ "Ruo = [log(MM,2)/2 for MM in M]# #Bandwidth efficiency in bits/s/Hz\n",
+ "print 'Table 7.7 Bandwidth Efficiency of M-ary PSK signals'\n",
+ "print '______________________________________________________'\n",
+ "print 'M\\n',M\n",
+ "print '______________________________________________________'\n",
+ "print 'r in bits/s/Hz\\n',Ruo\n",
+ "print '______________________________________________________'"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 7.6 page 326"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 61,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "coordinates of message points\n",
+ "\n",
+ "(0.707106781187+0.707106781187j)\n",
+ "(0.707106781187-0.707106781187j)\n",
+ "(-0.707106781187-0.707106781187j)\n",
+ "(-0.707106781187+0.707106781187j)\n",
+ "dibits value ['0', '1', '10', '11']\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fb182aefbd0>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "0.707106781187\n",
+ "0.707106781187\n"
+ ]
+ }
+ ],
+ "source": [
+ "from numpy import ones,arange,cos,sin,pi\n",
+ "%matplotlib inline\n",
+ "from matplotlib.pyplot import plot,subplot,title,xlabel,ylabel,show\n",
+ "\n",
+ "\n",
+ "#Figure7.6 Signal Space Diagram for coherent QPSK system\n",
+ "M =4#\n",
+ "i = range(0,M)\n",
+ "y = [cos((2*ii-1)*pi/4)-sin((2*ii-1)*pi/4)*1J for ii in i]\n",
+ "annot = [bin(xx)[2:] for xx in range(0,M)]\n",
+ "print 'coordinates of message points\\n'\n",
+ "for yyy in y:\n",
+ " print yyy\n",
+ "\n",
+ "print 'dibits value',annot\n",
+ "plot([y[0].real,y[1].real,y[2].real,y[3].real],[y[0].imag,y[1].imag,y[2].imag,y[3].imag])\n",
+ "xlabel(' In-Phase')#\n",
+ "ylabel(' Quadrature')#\n",
+ "title('Constellation for QPSK')\n",
+ "show()\n",
+ "print y[0].imag\n",
+ "print y[0].real\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 7.7 page 329"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 38,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Table 7.7 Bandwidth Efficiency of M-ary FSK signals\n",
+ "______________________________________________________\n",
+ "M = \n",
+ "[2, 4, 8, 16, 32, 64]\n",
+ "______________________________________________________\n",
+ "r in bits/s/Hz=\n",
+ "[1.0, 1.0, 0.75, 0.5, 0.3125, 0.1875]\n",
+ "______________________________________________________\n"
+ ]
+ }
+ ],
+ "source": [
+ "from math import log\n",
+ "# Bandwidth Efficiency of M-ary FSK\n",
+ "M = [2,4,8,16,32,64]##M-ary\n",
+ "Ruo = [2*log(MM,2)/MM for MM in M]# #Bandwidth efficiency in bits/s/Hz\n",
+ "#M = M'#\n",
+ "#Ruo = Ruo'#\n",
+ "print 'Table 7.7 Bandwidth Efficiency of M-ary FSK signals'\n",
+ "print '______________________________________________________'\n",
+ "print 'M = \\n',M\n",
+ "print '______________________________________________________'\n",
+ "print 'r in bits/s/Hz=\\n',Ruo\n",
+ "print '______________________________________________________'"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example7.12.7.2 page 332"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "coordinates of message points\n",
+ "\n",
+ "[1.0, -1.0]\n",
+ "[-1.0, 1.0]\n",
+ "[-1.0, 1.0]\n",
+ "[1.0, 1.0]\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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TXJY0TLEsdRhjQsWSRpyLxdRhScOY4LKkYRyz1GHCLdLlXouaOHEif/rTnxy1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\nuAZ4r0ib94AbwTPI7Ck6YBg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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f21c4078a50>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "from numpy import pi,sin,cos,arange,ones,sinc\n",
+ "from math import log\n",
+ "%matplotlib inline\n",
+ "from matplotlib.pyplot import plot,xlabel,ylabel,title,show,legend,grid\n",
+ "\n",
+ "M =2#\n",
+ "teta_0 = [0,pi]#\n",
+ "teta_tb = [pi/2,-pi/2]#\n",
+ "s1=[]\n",
+ "s2=[]\n",
+ "for i in range(0,M):\n",
+ " s1.append(cos(teta_0[i]))\n",
+ " s2.append(-sin(teta_tb[i]))\n",
+ "y = [[s1[0],s2[0]],[s1[1],s2[1]],[s1[1],s2[1]],[s1[0],s2[1]]]\n",
+ "print 'coordinates of message points\\n'\n",
+ "for xx in y:\n",
+ " print xx\n",
+ "plot(y[0])\n",
+ "plot(y[1])\n",
+ "plot(y[2])\n",
+ "plot(y[3])\n",
+ "xlabel(' In-Phase')#\n",
+ "ylabel(' Quadrature')#\n",
+ "title('Constellation for MSK')\n",
+ "legend(['message point 1 (0, pi/2)','message point 2 (pi, pi/2)','message point 3 (pi, - pi/2)','message point 4(0, - pi/2)'])\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example7.29 page 334"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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mf//+QMFLhBZGx44dOeeccyKy5GaojqNmzZpMnz6d2bNnc+WVVwJuLeyyZcuy\nadOmnO+wdevWPFrJkCFDmDBhAq+++ir9+vXjsMMOK7KNsVxys7gIZc3nBcB/gLlAa1W9VlXnqOoj\nwC/RNjDZiUXPJRvHkPj4HvSB7Nixg7Jly5Kens7ff//NiBEjcs7t27eP1157ja1bt1KqVClSU1Nz\nehIVtERoIF988QUvvPBCzpKfy5cv5/3334/IOISaNWuyatWqkHo21a5dm+nTp/Pxxx9zww03ULt2\nbU466SRuuOEGtm/fTnZ2NitXrsyzGNDAgQN55513eO2114q8FrPPpv79+zNu3DiWL1/Ozp07Y77o\nUTQIxT33U9Weqvq6qu4BEJFGAKp6TlStKyFY68EoKsGWrRw8eDANGzakbt26HH300TnrK/uYMGEC\njRo1okqVKjz33HO89tprQMFLhAaSlpbG5MmTadWqFampqZxyyin07duXm2+++SB78rM38Lj/uX79\n+gFQrVo1OnbsWGg91K9fnxkzZvDWW29x++2388orr7B3715atmxJeno6/fr1Y/369XnSt2/fnpSU\nFLp16xaSjYF29unTh2uvvZYePXrQrFkzunTpAkDZsmULtTdRKHRKDBFZqKrtA44tUNUOhWYu0gcY\nDZQCXlDVhwLOVwcmALWA0sAjqjo+n3w0lDeIZMDWeyg+bEqMksnFF19M3bp1I7bozbJly2jVqhV7\n9+4tlvWY86PY1mMQkRZAS5yucBNucJsClYH/U9WjCjG0FPAD0BtYg1s7+gJVXeaXZhRQVlVv85zE\nD0BNVd0fkFeJcQw+bM6l6GOOoeSxatUq2rVrx6JFi2jYsGHY+bz77ruceuqp7Ny5kyFDhlC6dGne\neeedCFpaNIpzrqTmwBlAFe/v6d7f9sAlIeR9LLBCVVep6j5cV9ezAtKswzkavL+bAp1CSSWa2oNp\nDEZJ5M4776RVq1bcfPPNh+QUAJ577jlq1qxJ06ZNKVOmDGPGjImQlfFBKKGkLqr6VZEzFjkPOFlV\nL/H2BwKdVPUavzQpuJ5NzYBUoL+qfpRPXiWuxeBPpFsPWVlZ1mUVazEYyUOkWwxBxzGIyC2eJnCh\niASu2q2qem0heYfyixsBLFLVTBFpAnwqIm1UdXtgwqFDh5KRkQE48att27Y5DzffG3Cy7mf/ks2T\nLZ7k4/0f02pMK66qfhXHNTgu7Px8x+Ll+8Vq3zCSjaysLMaPHw+Q87wMh4I0hjNU9X0RGUruQ97n\neVRVXy4mcJhIAAAgAElEQVQwY5HOwChV7ePt3wZk+wvQIjIFuF9Vv/D2pwO3qOr8gLxKdIvBH9Me\nIoe1GIxkodg0BlV93/s7XlVf9hzBq8C7hTkFj/nAESKSISKHAecDkwPSLMeJ04hITZyukUQzUUWe\nSGgP9sZsGEaBFDZnBvA6ThiuCCzF9TC6OZT5NoBTcD2NVgC3eccuAy7zPlcH3gcWA98BFwbJJ995\nQEo64c65ZHMlOXAtYdtsS4ot2D2uYcyVFIr4vFhV24jIRbgeSbcCC1W1VYEXRhALJQXHxj0YhhGM\naC7tWVpEygBnA++r63pqT+k4wUZNG4YRaUJxDGOBVUAlYJaIZABbo2eSEQ5F0R5MY4gcVpeRxeoz\nPijUMajqE6paV1VPUdVsYDXQI/qmGUXFWg+GYUSCUDSGcsC5QAa54x5UVYttmU/TGIqOaQ+GYUR8\nriS/jKcCW3BLfB7wHVfVR4NeFGHMMYSPjXswjJJLNB3D96p6dNiWRQBzDIdGYOshdV2qTYkRIWx6\nkchi9RlZIj4lhh9fikhrVf02DLuMOMCnPZzb8lyGvzecRlsb0bpTa2s9GIaRL6G0GJYBTXGrte3x\nDquqto6ybf42WIshQpj2YBglh2iGkjLyO66qq4paWLiYY4g8pj0YRvITtQFungOoD/TwPv9N7mR6\nRgKSlZUVk7WmkxHrdx9ZrD7jg0Idg7fK2s3Abd6hw3DLcRoJjo17MAwjP0KaKwloByxQ1XbesW9N\nY0guTHswjOQjmnMl7fFGPPsKqljUQoz4x1oPhmH4CMUxvCkiY4E0EbkUmA68EF2zjGhSUBzXtIei\nYTHxyGL1GR+EIj7/G3jb25oBd6rqE9E2zIgd1nowjJJNKBpDGs4hAPyoqluibtXBNpjGECNMezCM\nxCXi4xhEpCxuyu2zcYPbBDeR3ru4Fdj2hm1tETHHEHts3INhJB7REJ/vAMoA9VW1naq2xY1nKA3c\nGZ6ZRjwQThzXtIf8sZh4ZLH6jA8Kcgx9gUtVdbvvgPf5Cu+cUcIw7cEwSgYFhZKCjlUQke9szeeS\njWkPhhH/RENj+BbIzO8U8JkNcDPAtAfDiGeioTFUxi3OE7jNB1LDMdKIDyIZxy3p2oPFxCOL1Wd8\nEHQ9BlXNKEY7jAQmcL2HSUsnWevBMBKYQscxxAMWSkocTHswjPghausxxAPmGBIP0x4MI/ZEcxI9\nI8kojjhuSdEeLCYeWaw+44OgjkFE0gvaitNIIzGxcQ+GkZgU1F11FRA0fqOqjaJkU362WCgpwTHt\nwTCKH9MYjITAtAfDKD6iqjGISFUROVZEuvu2optoxAuxjOMmm/ZgMfHIYvUZH4Sy5vMlwCzgE+Bu\nYCowKrpmGcmMaQ+GEd+Esh7D98AxwFeq2lZEjgQeVNVzisNAzwYLJSUppj0YRvSImsYgIvNVtaOI\nLAI6q+puEVmqqi3DNbaomGNIfkx7MIzIE02N4XcRqQr8D/hURCYDq4pakBE/xGMcN1G1h3isy0TG\n6jM+CDpXkg9VPdv7OEpEsnCT630cTaOMkonNuWQY8UGBoSQRKQ18r6pHhpW5SB9gNFAKeEFVH8on\nTSbwH9xqcX+qamY+aSyUVMIw7cEwDp1oagzvAdeq6uoiGlQK+AHoDawB5gEXqOoyvzRpwBfAyar6\nu4hUV9U/88nLHEMJxbQHwwifaGoM6cASEZkhIu972+QQrjsWWKGqq1R1HzAROCsgzYXA26r6O0B+\nTsGIPIkUx4137SGR6jIRsPqMDwrVGIA7cKu2+RPK63td4De//d+BTgFpjgDKiMhnuMV/HlfVV0PI\n2yhBmPZgGMVLKC2G01Q1y38DTg3hulCcRxmgvZffycCdInJECNcZh0BmZmasTQiLeGw9JGpdxitW\nn/FBKC2GE/M5dipwSyHXrQHq++3Xx7Ua/PkNJzjvAnaJyCygDfBTYGZDhw4lIyMDgLS0NNq2bZtz\nE/man7af/PsVD6vIOeXPoXGdxlw/9XomLZ1Evwr9qFy2clzYZ/u2H8v9rKwsxo8fD5DzvAyHgmZX\nvQK4EmgCrPQ7lQp8oaoXFZix69H0A9ALWAvM5WDx+UjgKVxroSzwNXC+qi4NyMvE5wiSlZWVc1Ml\nMvHQcylZ6jJesPqMLOGKzwW1GF4HPgL+hWsd+DLfrqqbCstYVfeLyNW4uZVKAS+q6jIRucw7P1ZV\nl4vIx8C3QDbwfKBTMIxgmPZgGNEhlO6qXYAlqrrN268MtFDVr4vBPp8N1mIwCiQeWg+GEW9EcxzD\nIqC9qmZ7+6WA+araLixLw8AcgxEqNu7BMHKJ6noMPqfgfT6ACw0ZCYpPrEpGirvnUjLXZSyw+owP\nQnEMv4jItSJSRkQOE5F/Aj9H2zDDCBdb78EwDo1QQkk1gSeAHt6h6cA/VXVDlG3zt8FCSUZYmPZg\nlGRszWfDKADTHoySSNQ0BhFpLiLTRWSJt99aRO4Ix0gjPiiJcdxoaQ8lsS6jidVnfBCKxvA8MALY\n6+1/B1wQNYsMI0qY9mAYoVGUpT2/8XVRFZFFqtq2WCzEQklG5DHtwSgJRLO76kYRaepX0HnAuqIW\nZBjxhLUeDCM4oTiGq4GxwJEisha4HrgiqlYZUcXiuLkcqvZgdRlZrD7jg0Idg6quVNVeQHWguap2\nVdVVUbfMMIoJaz0YRl5C0RiqAyOBbrg1FmYD94QykV6kMI3BKC5MezCSiWjOlTQNmAlMwM2weiGQ\nqaq9wzE0HMwxGMWNjXswkoFois+1VPVeVf1FVX9W1fuAmkU30YgXLI5bOKFqD1aXkcXqMz4IxTF8\nIiIXiEiKt50PfBJtwwwj1pj2YJRUQgkl7QAq4BbSAedM/vY+q6pWjp55OTZYKMmIKaY9GImIzZVk\nGMWAaQ9GIhFxjUFEMkQkzW+/p4g8ISI3iMhh4RpqxB6L44ZPoPbwwCsPxNqkpMLuzfigII1hEi6E\nhIi0Bd4EVgNtgWeib5phxCf+2sPT85427cFIOoKGkkTkW1Vt7X1+BMhW1ZtFJAVYrKqtis1ICyUZ\ncYppD0Y8E43uqv6Z9QJmQN5lPg2jpGM9l4xkpCDH8JmIvCkiTwBpeI5BROoAe4rDOCM6WBw3cvjq\nsrjXmk5W7N6MDwpyDNcB7wC/AN1U1bceQ03g9mgbZhiJhrUejGTBuqsaRhQw7cGIB2wcg2HEITbu\nwYgl0ZwryUgyLI4bOQqrS9Meiobdm/FBgY5BREqLyGvFZYxhJCOmPRiJRihzJX0O9FLVmPVEslCS\nkSyY9mAUJ9Fcj+FV4EhgMrDTO6yq+liRrQwTcwxGsmHag1EcRFNjWAl86KWt5G2pRS3IiB8sjhs5\nwq1L0x7yx+7N+KB0YQlUdRSAiFRU1b8LSW4YRoj4tIdzW57L8PeGM2npJGs9GHFBKKGk44AXgFRV\nrS8ibYDLVPXK4jDQs8FCSUZSY9qDEQ2iqTHMBc4D3lPVdt6xJap6VFiWhoE5BqOkYNqDEUmiOo5B\nVX8NOLS/qAUZ8YPFcSNHpOuypGsPdm/GB6E4hl9FpCuAiBwmIjcBy6JrlmGUXGzcgxFrQgkl1QAe\nB3rjpuL+BLhWVTdF37wcGyyUZJRITHswDoVoagzlVHV3mEb1AUYDpYAXVPWhIOmOAb4C+qvqO/mc\nN8dglGhMezDCIZoawxIR+VJE/iUip4lIlRANKgU8BfQBWgIXiEiLIOkeAj4m7+JARpSwOG7kKK66\nLCnag92b8UGhjkFVmwAXAN8BpwPfisiiEPI+FlihqqtUdR8wETgrn3TXAG8BG0O22jBKIKY9GMVF\noY5BROoBXYHjgXbAEuCNEPKuC/zmt/+7d8w/77o4ZzHGOxQ0XtStG9x9N3z5Jey3PlGHRGZmZqxN\nSBpiUZfJ3HqwezM+CKlXEvBPXKini6qeqqoPhnBdKKLAaOBWT0AQCggl3XUX7NgBV14J1avD2WfD\n00/Djz+CyQ9GScNaD0Y0KXRKDFwr4XhcOOkWEfkJmKWqLxRy3Rqgvt9+fVyrwZ8OwEQRAagOnCIi\n+1R1cmBmr78+lIyMDM4+G1JS0ti7ty3z52fy4IOwb18WHTrA4MGZ9OoFS5ZkAblvH764pe27/dGj\nR9O2bdu4sSeR9/1j4rEov3vD7jzZ4kleWPgCrX5pxbOnPUvqutSY2XOo+7Guz0Tfz8rKYvz48QBk\nZGQQLiGt4CYiqbhwUndgIICqNijkmtLAD0AvYC0wF7hAVfMdAyEi44D3i9orSRV++AE+/dRtM2dC\nkyZw4olu69YNypUr9CuWKLKysnJuKuPQiKe6TIaeS/FUn8lANLurzgfKAV8Cs4DZqro6RKNOIbe7\n6ouq+qCIXAagqmMD0oblGALZtw++/jrXUXz3HXTpAr17O0fRpg2k2Lp1RpJi4x4Mf6LpGA5X1Q1h\nWxYBDmUcw9atkJWV6yg2b4ZevXJbFPXrF5qFYSQcydB6MA6daI5j2Csi/xGRBd72aKhjGeKBKlXg\nrLPgqadcyGn+fNd6+OQTaN8emjeHq6+G996DbdtibW3x4B/HNQ6NeK3LRO25FK/1WdIIxTG8BGwD\n+gH9ge3AuGgaFU0aNICLL4aJE+GPP9zfBg2c46hbF7p2hVGj4IsvXFjKMBIV67lkhEsooaTFqtqm\nsGPRpLimxNi1Cz7/3IWcpk2Dn3+G7t1zw07Nm4PY2GwjATHtoWQSTY1hDvB/qjrb2+8G/FtVu4Rl\naRjEaq6kjRth+vRcfUI110n06gWHH17sJhnGIWHaQ8kimhrD5cDTIrJaRFbj5j+6vKgFJSI1asCA\nAfDii7B6tWtFtG/vwk/NmkHbtvB//+f0il27Ym1t6FgcN3IkWl3Gu/aQaPWZrBQ4wE1E2gFNgAG4\nwWmiqluLw7B4Q8SFknxi9f79MHeua0nccw8sXgydOuW2KNq2tW6xRnxia00bhRE0lCQid+EGsy0A\nOgMPqupzxWibvy1xP+32tm15u8X++WfebrENG8baQsM4GNMekpuIawwishToqKo7RaQaMFVVOx6i\nnWGRCI4hkN9+c6Enn5CdlpbrJHr0cN1oDSNeMO0hOYmGxrBHVXcCeKu1WWCkCNSvD8OGweuvw/r1\nMGkSZGTAmDFQr54bjX3XXTB7dvF3i7U4buRIlrqMF+0hWeoz0SlIY2gsIu8H2VdVPTOKdiUVKSlO\nc/CJ1bt3u3ESn34K110HK1bkdovt3RtatLBusUbxY9qD4aOgUFJmAdepqs6MikX525JwoaSi8Oef\nebvFHjiQO7dT795Qs2asLTRKGqY9JAdRG8cQDyS7Y/BH1bUgfE4iK8uNzPbpE8cfDxUqxNpKo6Rg\n2kNiE81xDEYxIgJHHOEWJHr3XTfI7tlnoXJluP9+13ro2RMefNDN+3TgQNHLsDhu5Ej2uixu7SHZ\n6zNRMMcQ55QunStUz5oFa9fCDTc4QXvwYOco+veH55+HVatiba2RjNicSyUPCyUlOL//7rrD+rZK\nlXLDTj17um6yhhEpTHtILKIxjsG/zehbkzlnvzh7JZljCA1VtzCRT5/44gs46qhcR9G5Mxx2WKyt\nNJIB0x4Sg2hoDI9628/ALuA54Hlgh3fMiDNEoHVruPFG+Phjp0888ICbvuPGG6F6dTjtNLj66iyW\nLHGOxDg0SmpMPFraQ0mtz3gjlNlVF6hqh8KORRNrMUSGTZtgxgx4+eUslizJZO/e3G6xvXpB7dqx\ntjDxsDWKI9t6sPqMLNGcdnsZcLqqrvT2GwMfqmqLsCwNA3MMkUcVVq7MnbLjs8/cQkW+sFP37lCx\nYqytNBIF0x7ik2g6hj64MNIv3qEM4FJVnVrUwsLFHEP02b8fFizI1ScWLoSOHXMH2XXoAKVKxdpK\nI94x7SG+iOoANxEpBzT3dper6p6iFnQomGOILKE013fsgJkzc1sU69a5yf98LYrGjYvH1njHQh8H\ncyitB6vPyBK1AW4iUhH4P+BqVV0MNBCR08Ow0UggKlVyQvXo0fD9966305lnuqVPu3aFJk3g8svh\n7bfhL+vSbvhh4x4Sn1BCSZNwazIMVtWjPEfxZTKu+WyEhqpzFr5pxT//HI48Mrc10aULlC0bayuN\neMC0h9gSTY1hgap2EJFvVLWdd2yxOQbDx5498NVXufrE8uXQrVuuPnH00TZbbEnHtIfYEM25kvaI\nSHm/gpoAxaoxGJEl0n3Fy5aFzEw3l9PcuW5qjuHD4Ycf4OyzoU4dGDQIXnnFTemRTFi/+9AIddyD\n1Wd8EIpjGAV8DNQTkdeBGcAt0TTKSGzS0+G889zkfytXuhHY3brB5Mmu9XD00XD99fDhh07kNkoG\npj0kDqH2SqqOW/cZYI6q/hlVqw4u30JJScKBA65brE+fmD8f2rfP1Sc6drRusSUB0x6Kh2hqDDOA\nR1X1Q79jz6nqpUU3MzzMMSQvf//tZo316RNr1uR2i+3d2/V+Mn0ieTHtIbpEU2NoBNwiIiP9jh1T\n1IKM+CGe4rgVK8Ipp8Bjj7kusUuWwDnnODG7e3c3XuLSS+HNN92UHvFGPNVlIhKoPTzwygOxNskg\nNMewBegJ1BSR90XEJnI2okbt2jBwILz8sms9fPABtGwJ48dDo0ZwzDFw221uzqc91gUiKfDXHp6e\n97RpD3FAKKEk/26qQ4EbgaqqWi/65uXYYKEkg717XUvCp08sXQrHHZerT7RqZWGnRMe0h8gSTY3h\nclV91m+/A3CVqg4vupnhYY7ByI/Nm93kfz59YscOp0v4ZoytWzfWFhrhYtpDZIi4xiAilb2Pb4pI\num/DTab3f2HaacQByRIXr1oV+vaFMWNgxQrXmjjhBJgyxa1L0bIl/POfLhy1fXt0bEiWuowXfPVZ\n3GtNG3kpSGP4r/d3QT7bvCjbZRhFplEjuOQSmDQJNmxwA+pq1XLCdu3acPzxcM89zoHs3x9ra43C\nsHEPscPWfDZKBDt3wuzZuWGnX391o7V9+kTTpqZPxDOmPYRHNNZ8bl/Qhaq6sKiFhYs5BiPS/PFH\nroj96adQpkze1eyqV4+1hUZ+mPZQNKLhGLKAoE9jVe0RomF9gNFAKeAFVX0o4PxFwM2AANuBK1T1\n24A05hgiiM15nxdVN/Gfz0nMmuVaEL7WRNeuUK5c/tdaXUaWUOrTWg+hE65jKB3shKpmHpJFgIiU\nAp4CegNrgHkiMllVl/kl+xnorqpb/VaL63xwboYRHUSgRQu3XXut6xb79dfOSdxxh5ti/LjjclsU\nrVtDSigjgIyo4NMezm15LsPfG86kpZOs9RBhQp0rqRXQAsh5b1LVV0K4rgswUlX7ePu3etf+K0j6\nqsB3gWMkrMVgxJItWyArK7dFsXWrCzf5WhT1im1EjxGItR4KJprjGEYBJwBHAR8CpwCfq+p5IRh1\nHnCyql7i7Q8EOqnqNUHS3wQ0C5yHyRyDEU+sXp3rJKZPd3qEz0lkZkLlyoVmYUQY0x7yJ+KhJD/O\nA9oAC1V1mIjUBF4LMf+Qn+Yi0gMYDnTN7/zQoUPJyMgAIC0tjbZt2+bEIn19n20/tP3Ro0db/R3C\n/i+/ZNG0KfzjH5nMmJHFihVultgnnsjkoosgIyOLDh3g0kszOfZY+Pzz+LI/nvf9x4UU9frFly9m\nxPQRNLuxGTd0voERg0fE/PsU935WVhbjx48HyHlehkMoLYZ5qnqMiCzAzZm0DViuqs0LzVykMzDK\nL5R0G5CdjwDdGngH6KOqK/LJx1oMESTLBNOIEViXO3e6pU59LYpVq9ygO1+Lolkz6xZbEJG4N631\nkEs0Q0nPALcD5+PmSfob+EZVh4VgVGngB6AXsBaYC1zgLz6LSAPc4j8DVXVOkHzMMRgJyYYNLtzk\ncxQiuU6iVy+oUSPWFiYnpj04ouYYAgppBKQGdict5JpTyO2u+qKqPigilwGo6lgReQE4B/jVu2Sf\nqh4bkIc5BiPhUXXLnfqcxMyZbr0JX2+nbt2gfPnC8zFCp6S3HqLqGESkDZCBe7gLoKr6TlELCxdz\nDJHFQkmR41Dqct8+t0a2z1F8+y107pzbomjTpuR1i43GvVmSWw9RE59FZBzQClgCZPudKjbHYBjJ\nSJkybvBc164wapTrBuvrFjtgAPz1V95usQ0axNrixMTGPRSdUDSGpcBRsXxltxaDURL59dfcaTum\nTYP09LzdYqtUibWFiUdJaz1EU3x+GXhYVZeEa9yhYo7BKOlkZ8Pixblhpzlz3Ahsnz7RqZNrgRih\nUVK0h2iu+TwO+EpEfhSR77wtZPHZiD/8+4obh0Zx1WVKCrRrBzff7BzDhg1w992we7ebxqN6dTjz\nTHjySTfvU6K+RxVXfdp6DwUTygC3F4GBwPfk1RgMw4gR5cvnrlb30EOwcWNut9h//9s5Bl9rondv\nOPzwWFscf5j2EJxQQklfqWqXYrInmA0WSjKMEFGFn37KDTtlZUFGRq4+cfzx1i02kGTVHqKpMYwB\nqgDvA3u9w9Zd1TAShP37c7vFTpsGixbBscfmOop27Upet9hgJJv2EE2NoRywBzgJON3bksOdllBM\nY4gciVCXpUu7acNHjnSr2K1ZA9ddB2vXwsCBLsx0/vnwwgtugsBYEuv6NO3BUaDG4K2n8Jeq3lhM\n9hiGEWUqV4YzznAbwG+/5XaLHTEC0tJy9YkePdx+ScK0h9BCSXOALjaOwTCSn+xs+O67XH3iyy/h\n6KNzw06dOsFhh8XayuIj0bWHaGoMzwJ1gDeBnd5h0xgMowSwezd88UWuo1ixwonXPkfRokXJmC02\nUbWHaGsMf+Gm3DaNIQmIdRw3mUj2uixXzk3L8a9/wYIFsHIlDB7sljs99VSoXx+GDoXXXoM//jj0\n8uK1Pkua9lDoOAZVHVoMdhiGkQBUrw79+7tN1bUgPv0U3n4brr7aOQpfa6J7d6hQIdYWR46SpD2E\nEkqqDzwBdPMOzQL+qaq/R9k2fxsslGQYcc7+/W4lO1/Y6Ztv4JhjcgfZtW8PpUrF2srIkCjaQzQ1\nhmm4pTwneIcuAi5S1ROLbGWYmGMwjMRj+3a35oRv/MT69dCzZ26LolGjWFt46MS79hBNjaGGqo5T\n1X3eNh6wAfYJTLzGcRMRq8vgpKbC6afD44/DkiVuvYnTT4dZs6BLF2jaFK64At55BzZvdtckWn0m\nq/YQimPYJCKDRKSUiJQWkYHAn9E2zDCM5KJuXRgyBCZMgHXrnENo2hSee86tNdGpE7z4omtl7N1b\neH7xgk97+O+5/+X6qdcz6N1B/LXrr1ibdUiEEkrKAJ4EOnuHvgSuUdVfg10TaSyUZBjJzZ49bsyE\nT5/44Ye83WJbtkyMbrHxpj0Uy5rPscIcg2GULDZtghkzckdk796dd7bY2rVjbWHBxIv2EHHHICIj\ng1yjAKp6T1ELCxdzDJHF1nyOHFaXkSVYfa5cmdua+OwzF5byOYkTToCKFYvf1sKIh9ZDNMTnv4Ed\nAZsCFwO3hGOkYRhGODRpApdf7sZLbNzoJvxLT4eHH4ZatdxSp/ff72aRPXAg1tY6Ell7CCmUJCKV\ngWtxTmES8Kiqboiybf7lW4vBMIx82bHD9XTytSjWrs3tFtu7t3MqsSZWrYeoaAwiUg24Hjd24RVg\ntKpuDtvKMDHHYBhGqKxd67QJnz5RvnyuiN2zp2tpxIri1h4iHkoSkUeAucB2oLWqjoyFUzAiT6L1\nFY9nrC4jSyTqs04dN5/TK684JzF5Mhx5JLz0klvJ7thj4fbb3cp2e/YccnFFIlHGPRSkMdwA1AXu\nANaKyHa/bVvxmGcYhhE+Im7a8OuvhylTnD7x8MPu+C23QI0acMop8Nhjbrrx4ghMJIL2YN1VDcMo\nsWze7LrF+vSJnTvzdoutUye65Udbe7BxDIZhGIfIzz/nzu00Y4br8eTTJ044ASpVik650dIeojlX\nkpFkWFw8clhdRpZY12fjxnDZZfDmm7BhA4wf79bEfuQRN6juhBPg3nthzhw3m2ykiDftwRyDYRhG\nPpQq5aYNHzHCDapbvx5uvRW2bIFLL3X6RN++MGaMW5fiUIMa8aQ9WCjJMAwjDNavz+0S++mnULZs\nrjbRqxdUqxZ+3pHSHkxjMAzDiBGqsHRprj4xaxY0a5arT3Tt6hxHUTlU7cE0BiNkYh3HTSasLiNL\notanCBx1FFx3HXzwAfz5p+sCW7q0C0XVqAF9+sCjj8LixaGHnWKlPZhjMAzDiDCHHebWvPYJ1atX\nO1F75Uo47zzX2+mii5y4vWZNwXnFQnuwUJJhGEYxs2pVrjYxfTrUrJk7fiIz061+lx9F1R5MYzAM\nw0hADhyAb77JFbLnzoW2bXP1iWOOcSEpf0LVHuJSYxCRPiKyXER+EpF8p+oWkSe884tFpF007TEc\niRrHjUesLiNLSazPUqWgY0fXFXb6dPjjD7jjDti2zU01XqMGnHMOPP00/Pij0yeirT1EzTGISCng\nKaAP0BK4QERaBKQ5FWiqqkcAlwJjomWPkcuiRYtibULSYHUZWaw+oUIFOPlkN6hu8WJYvhz69YP5\n893ssBkZ8I9/wAfvVuTOY6KjPUSzxXAssEJVV6nqPmAicFZAmjOBlwFU9WsgTURqRtEmA9iyZUus\nTUgarC4ji9XnwdSsCRdeCOPGwW+/wccfQ+vWMGGCW2vi+r7dOXPtYnZsTOfoZyLTeihdeJKwqQv8\n5rf/O9AphDT1gD+iaJdhGEZCIgItWrjt2mth3z74+mv49NOK/DH+cbZsPpfzNw6nRaVJPHbS42GX\nE80WQ6hqcaAwYipzlFm1alWsTUgarC4ji9Vn0ShTBrp1g7vvhi+/hHVzuvPSMYvZtz2dXm+3Cjvf\nqPVKEpHOwChV7ePt3wZkq+pDfmmeBbJUdaK3vxw4QVX/CMjLnIVhGEYYhNMrKZqhpPnAESKSAawF\nzgcuCEgzGbgamOg5ki2BTgHC+2KGYRhGeETNMajqfhG5GpgKlAJeVNVlInKZd36sqk4RkVNFZAXw\nN9+z5B8AAAdnSURBVDAsWvYYhmEYoZEQA9wMwzCM4iOu5kqyAXGRo7C6FJFMEdkqIt942x2xsDMR\nEJGXROQPEfmugDR2X4ZIYfVp92boiEh9EflMRJaIyPcicm2QdEW7P1U1LjZcuGkFkAGUARYBLQLS\nnApM8T53AubE2u543EKsy0xgcqxtTYQNOB5oB3wX5Lzdl5GtT7s3Q6/LWkBb73Ml4IdIPDfjqcVg\nA+IiRyh1CQd3FTbyQVVnA5sLSGL3ZREIoT7B7s2QUNX1qrrI+7wDWAbUCUhW5PsznhxDfoPd6oaQ\npl6U7UpEQqlLBY7zmpZTRKRlsVmXfNh9GVns3gwDrwdoO+DrgFNFvj+j2V21qNiAuMgRSp0sBOqr\n6k4ROQX4H9AsumYlNXZfRg67N4uIiFQC3gL+6bUcDkoSsF/g/RlPLYY1QH2//fo4z1ZQmnreMSMv\nhdalqm5X1Z3e54+AMiJStHUDDR92X0YQuzeLhoiUAd4GJqjq//JJUuT7M54cQ86AOBE5DDcgbnJA\nmsnAYMgZWZ3vgDij8LoUkZoiIt7nY3Fdl6O7LFTyYvdlBLF7M3S8enoRWKqqo4MkK/L9GTehJLUB\ncREjlLoEzgOuEJH9wE5gQMwMjnNE5L/ACUB1EfkNGInr7WX3ZRgUVp/YvVkUugIDgW9F5Bvv2Aig\nAYR/f9oAN8MwDCMP8RRKMgzDMOIAcwyGYRhGHswxGIZhGHkwx2AYhmHkwRyDYRiGkQdzDIZhGEYe\nzDEYRUZEskXkEb/9m0RkZDHbkCUi7b3PH4pI5UPML1NE3g9y3H8K6E8OpRzDSATMMRjhsBc4R0Sq\neftFGgwjIqUiYENOmap6mqpui0CewZipqu287ST/EyISN4NEixMRqRprG4zoYY7BCId9wHPA9YEn\nvGk4ZngzY04Tkfre8fEi8qyIzAEeFpFxIjJGRL4SkZXem/nLIrJURMb55feMiMzzFiEZlZ8xIrJK\nRKqJyOV+b/a/iMgM7/xJIvKliCwQkUkiUtE73kdElonIAuCcAr5vngnIRGSoiEwWkenApyJSwVt8\n5msRWSgiZ3rpyovIRO87vSMic/xaOTv88jvP951FpIaIvCUic73tOO/4KK+Mz7z6usbv+sFefS/y\n6rCSiPzsc1oiUtnbj4RD9jFPRCaISA/f9BVGEhHrhSZsS7wN2A6kAr8AlYEbgZHeufeBQd7nYcC7\n3ufxuDlbfKPtxwGve5/PBLYBR+EewvOBNt65qt7fUsBnQCtv/zOgvff5FyDdz77SwCzgNKA6MBMo\n7527BbgTKAf8CjTxjr9BPovD4BaN2QJ8420jgCG4aYzTvDQPABd5n9Nwi6VUAG4AXvCOt8I5VJ/N\n2/3KOBcY531+HejqfW6AmwMHYBTwOW7qiGrAn16dHOWVl+4r3/v7EnCW9/lS4N8RvgdSvPp9G1gK\n3AbUjvW9aVtkNmsxGGGhqtuBV4DApQQ74x5uABOAbr5LgDfVe6p4+GL63wPrVXWJd34JbvU5gPO9\nN/qFuIdgixDMewKYrqofeva0BL705pIZjHvgNgd+UdWVfrYGe/OdrbmhpAe8Y5+q6hbv80nArV7+\nnwFlvTKO9/JFVb8Dvg3B9t7AU15e7wGpXgtHgQ9VdZ+qbgI24Fbv6glMUm+SOT+bXiB3TpyhOEcc\nMVQ1W1U/VNVzge5AE+BXEekYyXKM2FAi46NGxBiNe2AHPnSCPWB3Buzv9f5mA3v8jmcDpUSkEa41\n0lFVt3rhlnIFGSQiQ3Fz+V/pd/hTVb0wIF2bEG0Oxt8B+31V9aeAMgrK199Blg+wo5Oq7vVP7OXl\nf+wA7ver+ZWhql96Yb1MoJSqLg3IrxSwwLt+Mq41NNLbvwS4CrfoyxrgcuAD79wYVX3Oy6MKboK7\nIbj/3zAg6LrYRuJgLQYjbFR1MzAJuJjcB92X5M6GeREupBMOggtX/Q1sE7cU4SkFXiDSAedIBvkd\nngN0FZEmXpqKInIEsBzIEJHGXroLimibP1PxazlJ7mLrs4ALvWNHA639rvlDRI4UkRScvuGrv08C\n8gp0YP4oMAPoJ956BZJ33YJXgNdwYaW8F6oeUNW2XitopKr+z/vcXlUXqOpwb/90Vf3dL63PKUzA\nOZaGuNBhD1WdoKp7AssyEg9zDEY4+L/tPoqL4/u4BhgmIotxjuGfQa4L3D/onKp+i3uTXY57wH1e\ngD3C/7d3xygVA0EAhv/pbbyEXsA7PBDs7O20s7F52InY2VkIHsCHB7B+WDw7RUQ9giB4h7HYFXYl\nnRAx/F85IdlJiszuDiRllrsOLGsD+iozPylbKYua0z2wWV9g+8Bt3ar6GMjh+9pDebexU8rPZJ4j\n4gU4qfFLYC0i3mrsoTlnTpmFr4D3Jn4IbNVm8itw8GPcPpGyEjgD7iLiCThvDl/X57EYuK/fugE2\nMvO42Y7TRPjZbWkkEbEEjjLzcaTxdoGdzNwbYzxNhz0GaYIi4gKYAdt/nYv+H1cMkqSOPQZJUsfC\nIEnqWBgkSR0LgySpY2GQJHUsDJKkzhcmetvb0a16tgAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f7cdd420b10>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "from numpy import arange,ones,sinc,pi,sin,cos\n",
+ "from math import log\n",
+ "%matplotlib inline\n",
+ "from matplotlib.pyplot import plot,xlabel,ylabel,title,show,legend,grid\n",
+ "\n",
+ "rb = 2 # the bit rate in bits per second\n",
+ "Eb = 1 # the Energy of bit\n",
+ "\n",
+ "f = arange(0,1/100+8/rb,8/rb)\n",
+ "Tb = 1/rb# #Bit duration\n",
+ "SB_PSK=ones(len(f))\n",
+ "SB_FSK=ones(len(f))\n",
+ "for i in range(0,len(f)):\n",
+ " if(f[i]==(1/(2*Tb))):\n",
+ " SB_FSK[i]=Eb/(2*Tb)\n",
+ " else:\n",
+ " SB_FSK[i]= (8*Eb*(cos(pi*f[i]*Tb)**2))/((pi**2)*(((4*(Tb**2)*(f[i]**2))-1)**2))\n",
+ " \n",
+ " SB_PSK[i]=2*Eb*(sinc(f[i]*Tb)**2)\n",
+ "\n",
+ "plot([ff*Tb for ff in f],[yy/(2*Eb) for yy in SB_FSK]) \n",
+ "plot([ff*Tb for ff in f],[yy/(2*Eb) for yy in SB_PSK]) \n",
+ "xlabel('Normalized Frequency ---->')\n",
+ "ylabel('Normalized Power Spectral Density--->')\n",
+ "title('PSK Vs FSK Power Spectra Comparison')\n",
+ "legend(['Frequency Shift Keying','Phase Shift Keying'])\n",
+ "grid() \n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example7.30 page 336"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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e2wwBcqrq0yJS2N2+iKpeiJeW9uun5M4NkZFQqhSULg1lykDRopDM2OMB9/e/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\nYFBV9rXuY83WDbyxsZztzeUcG1NNckcRc5LLuHp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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f901821bbd0>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "from numpy import arange,ones,sinc,pi,cos\n",
+ "from math import log\n",
+ "%matplotlib inline\n",
+ "from matplotlib.pyplot import plot,xlabel,ylabel,title,show,legend,grid\n",
+ "\n",
+ "rb = 2 # the bit rate in bits per second\n",
+ "Eb = 1 # the Energy of bit\n",
+ "f = arange(0,1/(100*rb)+(4/rb),1/(100*rb))\n",
+ "Tb = 1/rb# #bit duration in seconds\n",
+ "SB_MSK=ones(len(f))\n",
+ "SB_QPSK=ones(len(f))\n",
+ "for i in range(0,len(f)):\n",
+ " if(f[i]==0.5):\n",
+ " SB_MSK[i]= 4*Eb*f[i]\n",
+ " else:\n",
+ " SB_MSK[i]=(32*Eb/(pi**2))*(cos(2*pi*Tb*f[i])/((4*Tb*f[i])**2-1))**2\n",
+ " \n",
+ " SB_QPSK[i]=4*Eb*sinc((2*Tb*f[i]))**2\n",
+ "\n",
+ "plot([ff*Tb for ff in f],[yy/(4*Eb) for yy in SB_MSK])\n",
+ "plot([ff*Tb for ff in f],[yy/(4*Eb) for yy in SB_QPSK])\n",
+ "xlabel('Normalized Frequency ---->')\n",
+ "ylabel('Normalized Power Spectral Density--->')\n",
+ "title('QPSK Vs MSK Power Spectra Comparison')\n",
+ "legend(['Minimum Shift Keying','QPSK'])\n",
+ "grid()\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example7.31 page 338"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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J5/awYcNo2rRpwsgTy+3U1FRGjhwJQHJyMnkhuyGp2ab4UdWt2R332igGfAxM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\n+OU+2isiZwV10oZArmYjWnT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00+liS/0Wnlj/BM9tfo72k+18ceYXWTpjKQsm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\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f439ca4da10>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "from numpy import arange,ones,sinc\n",
+ "from math import log\n",
+ "%matplotlib inline\n",
+ "from matplotlib.pyplot import plot,xlabel,ylabel,title,show,legend,grid\n",
+ "\n",
+ "rb = 2 # the bit rate\n",
+ "Eb = 1 # the energy of the bit\n",
+ "f = arange(0,1.0/100+rb,1./100)\n",
+ "Tb = 1/rb# #Bit duration\n",
+ "M = [2,4,8]#\n",
+ "SB_PSK=ones([len(M),len(f)])\n",
+ "for j in range(0,len(M)):\n",
+ " for i in range(0,len(f)):\n",
+ " SB_PSK[j,i]=2*Eb*(sinc(f[i]*Tb*log(M[j],2))**2)*log(M[j],2)\n",
+ " \n",
+ "plot([ff*Tb for ff in f],[xx/(2*Eb) for xx in SB_PSK[0,:]])\n",
+ "plot([ff*Tb for ff in f],[xx/(2*Eb) for xx in SB_PSK[1,:]])\n",
+ "plot([ff*Tb for ff in f],[xx/(2*Eb) for xx in SB_PSK[2,:]])\n",
+ "xlabel('Normalized Frequency ---->')\n",
+ "ylabel('Normalized Power Spectral Density--->')\n",
+ "title('Power Spectra of M-ary signals for M =2,4,8')\n",
+ "legend(['M=2','M=4','M=8'])\n",
+ "grid()\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example7.41 page 340"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f64696066d0>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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28DfgqLLO3lGOL5K+sub7aX2Qu8jdd63bluqHuw32WYqmr/n4Itkp4/z9tNbe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\nSUVORK5CYII=\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f646923d210>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from numpy import ones,convolve as convol\n",
+ "%matplotlib inline\n",
+ "from matplotlib.pyplot import plot,xlabel,ylabel,title,show\n",
+ "#Matched Filter Output\n",
+ "T =4#\n",
+ "a =2#\n",
+ "t = range(0,T+1)\n",
+ "g = [2*xx for xx in ones([1,T+1])][0]\n",
+ "h =[abs(x) for x in (convol(g,g))]\n",
+ "for i in range(0,len(h)):\n",
+ " if(h[i]<0.01):\n",
+ " h[i]=0\n",
+ " \n",
+ "h = [hh-T for hh in h]\n",
+ "t1 = range(0,len(h))\n",
+ "plot(t,g)\n",
+ "xlabel('t--->')\n",
+ "ylabel('g(t)---->')\n",
+ "title('Rectangular pulse duration T = 4, a =2')\n",
+ "show()\n",
+ "plot(t1,h)\n",
+ "xlabel('t--->')\n",
+ "ylabel('Matched Filter output')\n",
+ "title('Output of filter matched to rectangular pulse g(t)')\n",
+ "show()\n"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.9"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/backup/Digital_Communications_by_S._Haykin_version_backup/Chapter8.ipynb b/backup/Digital_Communications_by_S._Haykin_version_backup/Chapter8.ipynb
new file mode 100755
index 00000000..1b04d843
--- /dev/null
+++ b/backup/Digital_Communications_by_S._Haykin_version_backup/Chapter8.ipynb
@@ -0,0 +1,577 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 8 Error Control Coding"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example8.1 page 384"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "generator matrix\n",
+ "[[ 1. 1. 1. 1. 1.]]\n",
+ "\n",
+ "parity-check matrix\n",
+ "[[ 1. 0. 0. 0. 1.]\n",
+ " [ 0. 1. 0. 0. 1.]\n",
+ " [ 0. 0. 1. 0. 1.]\n",
+ " [ 0. 0. 0. 1. 1.]]\n",
+ "\n",
+ "code word for binary one input\n",
+ "[[ 1. 1. 1. 1. 1.]]\n"
+ ]
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "from numpy import ones,zeros,identity,transpose,hstack,mat\n",
+ "\n",
+ "n =5# #block of identical 'n' bits\n",
+ "k =1# #one bit\n",
+ "m = 1## bit value = 1\n",
+ "I = identity(n-k) #Identity matrix\n",
+ "P = ones(n-k)##coefficient matrix\n",
+ "I=mat(I)\n",
+ "P=mat(P)\n",
+ "H = hstack([I,transpose(P)])##parity-check matrix\n",
+ "G = hstack([P, mat([1])])##generator matrix \n",
+ "x = m*G# #code word\n",
+ "print 'generator matrix\\n',G\n",
+ "print '\\nparity-check matrix\\n',H\n",
+ "print '\\ncode word for binary one input\\n',x"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example8.2 page 386"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "identity matrix Ik\n",
+ "[[ 1. 0. 0. 0.]\n",
+ " [ 0. 1. 0. 0.]\n",
+ " [ 0. 0. 1. 0.]\n",
+ " [ 0. 0. 0. 1.]]\n",
+ "\n",
+ "coefficient matrix P\n",
+ "[[1 1 0]\n",
+ " [0 1 1]\n",
+ " [1 1 1]\n",
+ " [1 0 1]]\n",
+ "generator matrix G\n",
+ "[[ 1. 1. 0. 1. 0. 0. 0.]\n",
+ " [ 0. 1. 1. 0. 1. 0. 0.]\n",
+ " [ 1. 1. 1. 0. 0. 1. 0.]\n",
+ " [ 1. 0. 1. 0. 0. 0. 1.]]\n",
+ "parity chechk matrix H\n",
+ "[[ 1. 0. 0. 1. 0. 1. 1.]\n",
+ " [ 0. 1. 0. 1. 1. 1. 0.]\n",
+ " [ 0. 0. 1. 0. 1. 1. 1.]]\n",
+ "Code words of (7,4) Hamming code\n",
+ "[[ 0. 0. 0. 0. 0. 0. 0.]\n",
+ " [ 1. 0. 1. 0. 0. 0. 1.]\n",
+ " [ 1. 1. 1. 0. 0. 1. 0.]\n",
+ " [ 0. 1. 0. 0. 0. 1. 1.]\n",
+ " [ 0. 1. 1. 0. 1. 0. 0.]\n",
+ " [ 1. 1. 0. 0. 1. 0. 1.]\n",
+ " [ 1. 0. 0. 0. 1. 1. 0.]\n",
+ " [ 0. 0. 1. 0. 1. 1. 1.]\n",
+ " [ 1. 1. 0. 1. 0. 0. 0.]\n",
+ " [ 0. 1. 1. 1. 0. 0. 1.]\n",
+ " [ 0. 0. 1. 1. 0. 1. 0.]\n",
+ " [ 1. 0. 0. 1. 0. 1. 1.]\n",
+ " [ 1. 0. 1. 1. 1. 0. 0.]\n",
+ " [ 0. 0. 0. 1. 1. 0. 1.]\n",
+ " [ 0. 1. 0. 1. 1. 1. 0.]\n",
+ " [ 1. 1. 1. 1. 1. 1. 1.]]\n"
+ ]
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "from numpy import ones,zeros,identity,multiply,mat,concatenate,hstack,transpose\n",
+ "\n",
+ "\n",
+ "k = 4# #message bits length\n",
+ "n = 7# #block length\n",
+ "m = n-k##Number of parity bits\n",
+ "I = identity(k) #identity matrix\n",
+ "I=mat(I)\n",
+ "print 'identity matrix Ik\\n',I\n",
+ "P =[[1,1,0],[0,1,1],[1,1,1],[1,0,1]]##coefficient matrix\n",
+ "P=mat(P)\n",
+ "print '\\ncoefficient matrix P\\n',P\n",
+ "G = hstack([P,I]) #generator matrix\n",
+ "print 'generator matrix G\\n',G\n",
+ "\n",
+ "H = hstack([identity(k-1),transpose(P)])##parity check matrix\n",
+ "print 'parity chechk matrix H\\n',H\n",
+ "\n",
+ "#message bits\n",
+ "m = [[0,0,0,0],[0,0,0,1],[0,0,1,0],[0,0,1,1],[0,1,0,0],[0,1,0,1],[0,1,1,0],[0,1,1,1],[1,0,0,0],[1,0,0,1],[1,0,1,0],[1,0,1,1],[1,1,0,0],[1,1,0,1],[1,1,1,0],[1,1,1,1]]\n",
+ "\n",
+ "C = m*G#\n",
+ "C = (C%2)#\n",
+ "print 'Code words of (7,4) Hamming code\\n',C\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example8.3 page 389"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "remainder in polynomial form: \n",
+ " 2\n",
+ "1 x + 1 x\n",
+ "Parity bits are: [ 1. 1. 0.]\n",
+ "G:\n",
+ "[1, 1, 0, 1, 0, 0, 0]\n",
+ "[0, 1, 1, 0, 1, 0, 0]\n",
+ "[0, 0, 1, 1, 0, 1, 0]\n",
+ "[0, 0, 0, 1, 1, 0, 1]\n",
+ "\n",
+ "Generator Matrix G =\n",
+ "[1, 1, 0, 1, 0, 0, 0]\n",
+ "[0, 1, 1, 0, 1, 0, 0]\n",
+ "[1, 1, 1, 0, 0, 1, 0]\n",
+ "[1, 0, 1, 0, 0, 0, 1]\n",
+ "\n",
+ "Partiy Check matrix H =\n",
+ "\n",
+ "[1, 0, 0, 1, 0, 1, 1]\n",
+ "[0, 1, 0, 1, 1, 1, 0]\n",
+ "[0, 0, 1, 0, 1, 1, 1]\n"
+ ]
+ }
+ ],
+ "source": [
+ "from numpy import poly1d, polydiv\n",
+ "#message sequence = [1,0,0,1]\n",
+ "g = poly1d([1,0,1,1]) #generator polynomial\n",
+ "m = poly1d([1,0,0,0])*poly1d([1,0,0,1]) #message sequence\n",
+ "q = polydiv(m,g)[0]\n",
+ "r = polydiv(m,g)[1]\n",
+ "p = r.coeffs\n",
+ "print 'remainder in polynomial form: \\n',r\n",
+ "print 'Parity bits are:',p\n",
+ "\n",
+ "def rev_coeffs(x):\n",
+ " X=[]\n",
+ " for i in reversed(x):\n",
+ " X.append(i)\n",
+ " return X\n",
+ "\n",
+ "\n",
+ "G = [rev_coeffs(g.coeffs),rev_coeffs((g*poly1d([1,0])).coeffs),rev_coeffs((g*poly1d([1,0,0])).coeffs),rev_coeffs((g*poly1d([1,0,0,0])).coeffs)]\n",
+ "M=len(G[-1])\n",
+ "for gg in G:\n",
+ " while len(gg)<M:\n",
+ " gg.append(0)\n",
+ "print \"G:\" \n",
+ "for gg in G:\n",
+ " print gg\n",
+ "\n",
+ "def fun1(a,x,y):\n",
+ " import numpy as np\n",
+ " z=[]\n",
+ " for xx,yy in np.nditer([a[x-1],a[y-1]]):\n",
+ " z.append(xx+yy)\n",
+ " a[x-1]=z\n",
+ " return a \n",
+ "\n",
+ "def modulo(a,i):\n",
+ " bb=[]\n",
+ " for aa in a[i-1]:\n",
+ " bb.append(aa%2)\n",
+ " a[i-1]=bb \n",
+ " return a\n",
+ "\n",
+ "G=fun1(G,3,1)#G(3,:) = G(3,:)+G(1,:);\n",
+ "G=modulo(G,3)#G(3,:) = modulo(G(3,:),2);\n",
+ "G=fun1(G,4,1)\n",
+ "G=fun1(G,4,2)#G(4,:) = G(1,:)+G(2,:)+G(4,:);\n",
+ "G=modulo(G,4)#G(4,:) = modulo(G(4,:),2);\n",
+ "print '\\nGenerator Matrix G ='\n",
+ "for ggg in G:\n",
+ " print ggg\n",
+ "\n",
+ "\n",
+ "#h = 1+D^-1+D^-2+D^-4;\n",
+ "#H_D = [D^4*h;D^5*h;D^6*h];\n",
+ "H_D=[poly1d([1,1,1,0,1]),poly1d([1,1,1,0,1,0]),poly1d([1,1,1,0,1,0,0])] \n",
+ "\n",
+ "\n",
+ "#H_num =numer(H_D);\n",
+ "#H = coeff(H_num);\n",
+ "H=[rev_coeffs(aa.coeffs) for aa in H_D]\n",
+ "\n",
+ "M=len(H[-1])\n",
+ "for hh in H:\n",
+ " while len(hh)<M:\n",
+ " hh.append(0)\n",
+ "H=fun1(H,1,3)\n",
+ "H= modulo(H,1) \n",
+ "print '\\nPartiy Check matrix H =\\n'\n",
+ "for hh in H:\n",
+ " print hh"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example8.4 page 395"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "remainder in polynomial form: \n",
+ " 2\n",
+ "1 x + 1 x\n",
+ "Parity bits are: [ 1. 1. 0.]\n",
+ "Table 8.3 Contents of the Shift Register in the Encoder of fig8.7 for Message Sequence(1001)\n",
+ "__________________________________________________________________________________________\n",
+ "Shift Input Register Contents\n",
+ "__________________________________________________________________________________________\n",
+ "1 1 1 1 0\n",
+ "2 0 0 1 1\n",
+ "3 0 1 1 1\n",
+ "4 1 0 1 1\n",
+ "____________________________________________________________________________________________\n"
+ ]
+ }
+ ],
+ "source": [
+ "from numpy import poly1d,polydiv\n",
+ "#message sequence = [1,0,0,1]\n",
+ "g = poly1d([1,0,1,1]) #generator polynomial\n",
+ "m = poly1d([1,0,0,0])*poly1d([1,0,0,1])# #message sequence\n",
+ "q= polydiv(m,g)[0]\n",
+ "r= polydiv(m,g)[1]\n",
+ "p = r.coeffs\n",
+ "print 'remainder in polynomial form: \\n',r\n",
+ "print 'Parity bits are:',p\n",
+ "print 'Table 8.3 Contents of the Shift Register in the Encoder of fig8.7 for Message Sequence(1001)'\n",
+ "print '__________________________________________________________________________________________'\n",
+ "print 'Shift Input Register Contents'\n",
+ "print '__________________________________________________________________________________________'\n",
+ "print '1 1 1 1 0'\n",
+ "print '2 0 0 1 1'\n",
+ "print '3 0 1 1 1'\n",
+ "print '4 1 0 1 1'\n",
+ "print '____________________________________________________________________________________________'"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example8.5 page 396"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "remainder in polynomial form : \n",
+ " 2\n",
+ "2 x + 2 x\n",
+ "Syndrome bits for error free codeword are: [0.0, 0.0, 0.0]\n",
+ "remainder in polynomial form for errored codeword : \n",
+ " 2\n",
+ "2 x + 3 x + 1\n",
+ "Syndrome bits for errored codeword are: [0.0, 1.0, 1.0]\n"
+ ]
+ }
+ ],
+ "source": [
+ "from numpy import poly1d,polydiv\n",
+ "\n",
+ "#message sequence = [0,1,1,1,0,0,1]\n",
+ "\n",
+ "g = poly1d([1,0,1,1]) # #generator polynomial\n",
+ "C1 = poly1d([1,0,0,1,1,1,0]) #error free codeword\n",
+ "C2 = poly1d([1,0,0,0,1,1,0]) #middle bit is error\n",
+ "#[r1,q1] = pdiv(C1,g)#\n",
+ "\n",
+ "q1 = polydiv(C1,g)[0]\n",
+ "r1 = polydiv(C1,g)[1]\n",
+ "\n",
+ "S1 = (r1).coeffs\n",
+ "S1 = [xx%2 for xx in S1]\n",
+ "print 'remainder in polynomial form : \\n',r1\n",
+ "print 'Syndrome bits for error free codeword are:',S1\n",
+ "q2 = polydiv(C2,g)[0]\n",
+ "r2 = polydiv(C2,g)[1]\n",
+ "S2 = (r2).coeffs\n",
+ "S2 = [xx%2 for xx in S2]\n",
+ "print 'remainder in polynomial form for errored codeword : \\n',r2\n",
+ "print 'Syndrome bits for errored codeword are:',S2"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example8.6 page 399"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "n = 3\n",
+ "n-k = 2\n",
+ "Code rate:r = k/n = 0.333\n",
+ "It can correct any error upto = 2\n"
+ ]
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "#Single-error-correcting RS code with a 2-bit byte\n",
+ "\n",
+ "m =2# #m-bit symbol\n",
+ "k = 1**2# #number of message bits\n",
+ "t =1# #single bit error correction\n",
+ "n = 2**m-1# #code word length in 2-bit byte\n",
+ "p = n-k# #parity bits length in 2-bit byte\n",
+ "r = k/n# #code rate\n",
+ "print 'n =',n\n",
+ "print 'n-k =',p\n",
+ "print 'Code rate:r = k/n = %.3f'%r\n",
+ "print 'It can correct any error upto =',(2*t)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example8.7 page 401"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Result:\n",
+ "[1.0, 1.0] \n",
+ "\n",
+ "[1.0, 0.0] \n",
+ "\n",
+ "[1.0, 1.0] \n",
+ "\n",
+ "[1.0, 1.0] \n",
+ "\n",
+ "[0.0, 1.0] \n",
+ "\n",
+ "[0.0, 1.0] \n",
+ "\n",
+ "[1.0, 1.0] \n",
+ "\n"
+ ]
+ }
+ ],
+ "source": [
+ "from numpy import convolve,ones\n",
+ "g1 = [1,1,1] # The input Top Adder Sequence\n",
+ "g2 = [1,0,1] #The input Bottom Adder Sequence\n",
+ "m =[1,1,0,0,1] # The message sequence\n",
+ "x1 = [round(xx) for xx in convolve(g1,m)]\n",
+ "x2 = [round(xx) for xx in convolve(g2,m)]\n",
+ "x1 = [xx%2 for xx in x1]\n",
+ "x2 = [xx%2 for xx in x2]\n",
+ "N = len(x1)\n",
+ "x=[]\n",
+ "for i in range(0,len(x1)):\n",
+ " x.append([x1[N-i-1],x2[N-i-1]])\n",
+ "print 'Result:' \n",
+ "for xx in x:\n",
+ " print xx,'\\n'"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example8.8 page 404"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "top output sequence\n",
+ "1 \t1 \t1 \t1 \t0 \t0 \t1 \t\n",
+ "bottom output sequence\n",
+ "1 \t0 \t1 \t1 \t1 \t1 \t1 \t"
+ ]
+ }
+ ],
+ "source": [
+ "from numpy import poly1d\n",
+ "g1D=poly1d([1,1,1]) #generator polynomial 1\n",
+ "g2D=poly1d([1,0,1]) #generator polynomial 2\n",
+ "mD=poly1d([1,1,0,0,1]) #message sequence polynomial representation\n",
+ "x1D=(g1D*mD) #top output polynomial\n",
+ "x2D=(g2D*mD) #bottom output polynomial\n",
+ "x1=x1D.coeffs\n",
+ "x2=x2D.coeffs\n",
+ "x1=x1.tolist()\n",
+ "X1=[]\n",
+ "for i in reversed(x1):\n",
+ " X1.append(i)\n",
+ "X2=[]\n",
+ "for i in reversed(x2):\n",
+ " X2.append(i)\n",
+ "print 'top output sequence'\n",
+ "for xx in X1:\n",
+ " print xx%2,'\\t',\n",
+ "print '\\nbottom output sequence' \n",
+ "for xx in X2:\n",
+ " print xx%2,'\\t',"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example8.11 page 409"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "branch metric for correct reception : 0.8822\n",
+ "branch metric for any one correct recption: -3.7027\n",
+ "branch metric for no correct reception : -8.2877\n"
+ ]
+ }
+ ],
+ "source": [
+ "from __future__ import division\n",
+ "from math import log\n",
+ "\n",
+ "r = 1/2# #code rate\n",
+ "n =2# #number of bits\n",
+ "pe = 0.04# #transition probility \n",
+ "p = 1-pe## probability of correct reception\n",
+ "gama_1 = 2*log(p,2)+2*(1-r)# #branch metric for correct reception\n",
+ "gama_2 = log(pe*p,2)+1# #branch metric for any one correct recption\n",
+ "gama_3 = 2*log(pe,2)+1# #branch metric for no correct reception\n",
+ "print 'branch metric for correct reception : %.4f'%gama_1\n",
+ "print 'branch metric for any one correct recption: %.4f'%gama_2\n",
+ "print 'branch metric for no correct reception : %.4f'%gama_3"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.9"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/backup/Digital_Communications_by_S._Haykin_version_backup/Chapter9.ipynb b/backup/Digital_Communications_by_S._Haykin_version_backup/Chapter9.ipynb
new file mode 100755
index 00000000..1cf25521
--- /dev/null
+++ b/backup/Digital_Communications_by_S._Haykin_version_backup/Chapter9.ipynb
@@ -0,0 +1,365 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 9 Spread Spectrum Modulation"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example9.1 page 461"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The PN sequence at step: 1\n",
+ "x= [1, 0, 0]\n",
+ "The PN sequence at step: 2\n",
+ "x= [1, 1, 0]\n",
+ "The PN sequence at step: 3\n",
+ "x= [1, 1, 1]\n",
+ "The PN sequence at step: 4\n",
+ "x= [0, 1, 1]\n",
+ "The PN sequence at step: 5\n",
+ "x= [1, 0, 1]\n",
+ "The PN sequence at step: 6\n",
+ "x= [0, 1, 0]\n",
+ "The PN sequence at step: 7\n",
+ "x= [0, 0, 1]\n",
+ "Table 9.1 Range of PN Sequence lengths\n",
+ "_________________________________________________________\n",
+ "Length of shift register (m) = [7, 8, 9, 10, 11, 12, 13, 17, 19]\n",
+ "PN sequence Length (N) = [127, 255, 511, 1023, 2047, 4095, 8191, 131071, 524287]\n",
+ "_________________________________________________________\n"
+ ]
+ }
+ ],
+ "source": [
+ "#Program to generate Maximum Length Pseudo Noise Sequence\n",
+ "#Period of PN Sequence N = 7\n",
+ "\n",
+ "#Assign Initial value for PN generator\n",
+ "x0= 1#\n",
+ "x1= 0#\n",
+ "x2 =0#\n",
+ "x3 =0#\n",
+ "N = 7 # the period of the signal\n",
+ "for i in range(1,N+1):\n",
+ " x3 =x2\n",
+ " x2 =x1\n",
+ " x1 = x0\n",
+ " x0 =(x1^x3)\n",
+ " print 'The PN sequence at step:',i\n",
+ " x = [x1, x2, x3]\n",
+ " print 'x=',x\n",
+ "\n",
+ "m = [7,8,9,10,11,12,13,17,19]#\n",
+ "N = [2**mm-1 for mm in m]\n",
+ "print 'Table 9.1 Range of PN Sequence lengths'\n",
+ "print '_________________________________________________________'\n",
+ "print 'Length of shift register (m) =',m\n",
+ "print 'PN sequence Length (N) =',N\n",
+ "print '_________________________________________________________'"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example9.2 page 462"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 26,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The PN sequence at step : 1\n",
+ "x= [1, 0, 0]\n",
+ "The PN sequence at step : 2\n",
+ "x= [1, 1, 0]\n",
+ "The PN sequence at step : 3\n",
+ "x= [1, 1, 1]\n",
+ "The PN sequence at step : 4\n",
+ "x= [0, 1, 1]\n",
+ "The PN sequence at step : 5\n",
+ "x= [1, 0, 1]\n",
+ "The PN sequence at step : 6\n",
+ "x= [0, 1, 0]\n",
+ "The PN sequence at step : 7\n",
+ "x= [0, 0, 1]\n",
+ "Output Sequence : [0, 0, 1, 1, 1, 0, 1]\n",
+ "Output Sequence levels : [-1, -1, 1, 1, 1, -1, 1]\n",
+ "Number of 1s in the given PN sequence : 4\n",
+ "Number of 0s in the given PN sequence : 3\n",
+ "Property 1 (Balance property) is satisified\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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tcynwMFV9OPAbwN9XLmhAHDvmlisaG/MtSZiUna2UaZQ3b4Zdu9w1jpU6Gc1e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\nMgzDMKLBnJZhGIYRDea0DMMwjGj4//k3w9FAKALMAAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fa533551b90>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from numpy import corrcoef as corr\n",
+ "%matplotlib inline\n",
+ "from matplotlib.pyplot import plot,xlabel,ylabel,title,show\n",
+ "\n",
+ "#Period of PN Sequence N = 7\n",
+ "#Properites of maximum-length sequence\n",
+ "\n",
+ "#Assign Initial value for PN generator\n",
+ "x0= 1#\n",
+ "x1= 0#\n",
+ "x2 =0#\n",
+ "x3 =0#\n",
+ "N = 7 #the period of the signal\n",
+ "one_count = 0\n",
+ "zero_count = 0\n",
+ "C=[]\n",
+ "C_level=[]\n",
+ "t=[]\n",
+ "for i in range(1,N+1):\n",
+ " x3 =x2#\n",
+ " x2 =x1#\n",
+ " x1 = x0#\n",
+ " x0 =(x1^x3)\n",
+ " print 'The PN sequence at step :',i\n",
+ " x = [x1 ,x2 ,x3]\n",
+ " print 'x=',x\n",
+ " C.append(x3)\n",
+ " if(C[i-1]==1):\n",
+ " C_level.append(1)\n",
+ " one_count = one_count+1\n",
+ " elif(C[i-1]==0):\n",
+ " C_level.append(-1)\n",
+ " zero_count = zero_count+1\n",
+ " \n",
+ "print 'Output Sequence : ',C #refer equation 9.4\n",
+ "print 'Output Sequence levels :',C_level#refer equation 9.5\n",
+ "if(zero_count < one_count):\n",
+ " print 'Number of 1s in the given PN sequence : ',one_count\n",
+ " print 'Number of 0s in the given PN sequence :',zero_count\n",
+ " print 'Property 1 (Balance property) is satisified'\n",
+ "\n",
+ "Rc_tuo = corr(C_level,rowvar=N)\n",
+ "t = range(1,2*len(C_level)+1)\n",
+ "plot(t,C_level+C_level)\n",
+ "xlabel(' t')\n",
+ "title('Waveform of maximum-length sequence [0 0 1 1 1 0 1 0 0 1 1 1 0 1]')\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example9.3 page 468"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 28,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The processing gain is: 4095.0\n",
+ "The required PN sequence is: 4095.0\n",
+ "The feedback shift register length: 12.0\n",
+ "Jamming Margin in dB: 26.122539061\n"
+ ]
+ }
+ ],
+ "source": [
+ "from math import log,log10\n",
+ "def log2(x):\n",
+ " return log(x,2)\n",
+ "\n",
+ "Tb = 4.095*10**-3##Information bit duration\n",
+ "Tc = 1*10**-6##PN chip duration\n",
+ "PG = Tb/Tc##Processing gain\n",
+ "print 'The processing gain is:',PG\n",
+ "N = PG# #PN sequence length\n",
+ "m = log2(N+1)##feedback shift register length\n",
+ "print 'The required PN sequence is:',N\n",
+ "print 'The feedback shift register length:',m\n",
+ "Eb_No = 10##Energy to noise density ratio\n",
+ "J_P = PG/Eb_No##Jamming Margin\n",
+ "print 'Jamming Margin in dB:',10*log10(J_P)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example9.4 page 469"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 31,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "number of bits per symbol K = 2\n",
+ "Number of MFSK tones M= 4\n",
+ "Period of the PN sequence N = 15\n",
+ "length of PN sequence per hop k = 3\n",
+ "Total number of frequency hops = 8\n"
+ ]
+ }
+ ],
+ "source": [
+ "#Slow and Fast Frequency Hopping\n",
+ "K =2# #number of bits per symbol\n",
+ "M = 2**K# #Number of MFSK tones\n",
+ "N = 2**M-1##Period of the PN sequence\n",
+ "k = 3# #length of PN sequence per hop\n",
+ "print 'number of bits per symbol K =',K\n",
+ "print 'Number of MFSK tones M=',M\n",
+ "print 'Period of the PN sequence N =',N\n",
+ "print 'length of PN sequence per hop k =',k\n",
+ "print 'Total number of frequency hops =',2**k"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example9.5 page 470"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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dPC+/7P495pji9FdpC7rZJp+rBk480RXXmTWrfGPGeQHdG/00PP+8u4r37Bm2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\nIGxN+SCpsaQZkh7OswsD+pv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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f5c71d2a690>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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XeP+vwLbLSpUfYavMkkFEBgJlqvpFzpXlcuCAXfzvAF9hh2i/SFLu78AcYBpw\naNzr5wEPxz0fCtwf9UFKFv1QH5v5DYpalgzlPhN4wPu/LzAmapkylL8XNrM+wnt+L/DbqOUKKPso\nT94Z2P5/DUyxXBS1bGnkbg9Mj3u+JuH91VHLmIn8ca/fCrwQtXyZyI+tJCcDDb3nC4C9s60715VB\n2j1zERmA7XV2Aq7A9j9jBHZKK1Y8e+8XgCdV1e/wsJg5BjhbRBYAzwD9RKSU0nKUYbOiT7znzwNJ\nI+hGiYj0EpEDRKSaiJyOrSCWAh+q6io1M+wXsd+klFghIi0BRKQVtqorKUTkUmyr9KKIRcmUAzDl\nMM27h9sCn4lI85SfSkJOykCD7Znv2lNU1clAYxGJLSVL2ilNRAR4BJihqvdGLU+mqOotqtpOVTtg\nB5cTVDVPgabDR1WXA4tFpLP30snYKrUYaYmtojdgW3NXYf43R3lnFoLJPyM6EbNiNLsd8i7B35qq\naBGR/tg26UCtaO1V9KjqdFVtoaodvHu4DDhMVbNSyKEFqkuxZ+53LtAWWKGqO0Qk5pRWHXhES8sp\nrQ+2tfWFiEzxXrtZCxyOIERKMT7Uz4GnvMnEPOCyiOXxRVVfBV5NfN1biX2Kndl8jp0JFCUi8gxw\nAmYGvBg79P8z8KyI/BhYCPwwOglT4yP/HZj1UC1gnOljPlLVonToi5N/71j/q+pjcUVyun9TBqoL\nXIlIfWAi8PvErRLPdv3PqvqB93w8cIMmBLYTF6jO4XA4skLzHaguCAH2zBPPBdribz5HGIqpVPnu\nO/jkE/j0U3jmmeGoDmfhQgs9fMABlgi8Qwdo3dpyM7RsCU2bWtKYOnVS160KmzZZgvTvvoPly2HZ\nMktJOX++PebNgxUroEsX6N4dDj4YjjgCDj8cGjQoSBf4Mnz4cIYPHx6dAEWE64vduL7YjYQUHzsn\nZRBwz3w0Fp9opOcdulZ3m6JVSVRh7lx4913LAvbBB5af+fDDbQA+6CAYPhw6d7aMVbkiAvXq2aNV\nK+jRw7/cxo0wcyZ8+SVMmQIvvWSpE9u3h+OOs2Q1J5xgCsnhcFQucl0Z+O2Z34J5V6KqD6nq6yIy\nQETmAhsp0j3dfLN2LYwfD2PHwptv2msnnGAD7M0324w8lp95+PDkA3Y+qVcPevWyx6WX2mvbt5tC\nmDTJEnxfcw00b25p/fr3t+9Qt27Kah0ORwmQkzJQ1fdF5L/AGcBKVd1jCBORvsAwzLEHzIRrj0Q4\nlZHFi+GJZm+9AAAgAElEQVSVV2yG/ckncOyxNoBef73N+pOt7vr27VtQOVNRs6atWA4/HH71K0tu\nP2WKKbU//tGyUJ10EgwaZEnYm2YdGcWfYuqLqHF9sRvXF+GT8wGyiByHeVI+kUIZXKuqZye+l1BO\nK8OZwfLllqrvmWfg669tgDznHDj1VNhrr/SfLzVWr4ZXX4WXX4a337ZUi0OGmHJo2DD95x0OR26I\nSCgHyGFZE7XHvFeTKYNfq+pZaeooWWWwebPN/v/7X1sBnHWWDYgnn2wz66rCxo0wejSMHAkTJ9pW\n0mWXmSKsXj1q6RyOykkpKYMTMM/KMsyK6DpV3cOxphSVwdSp8NBDtpfeq5cNfAMHuj10gDVrYNQo\neOwxKCuz5OBXXGEWUQ6HIzzCUgaFCFT3OdBOLUTs/ZSYh2IimzfbCuCoo+Dss82yZto0OxS+4AKn\nCGI0aQJXXQWTJ8O4cbB1K/TuDQMG2Oph5870dTgcjsKR95WBT9kFwOGqujrhdb3jjjt2Pe/bt29R\nHRItWQIPPggPP2yrgKuvhtNPd9sfmbB5s52nPPggrFxplkk//rH5SjgcjmBMnDiRiRMn7np+5513\nlsw2UQvM0khFpDfwrKq29ylXlNtE06bBX/4Cr70GQ4fCz39ulkCO3Jg8Ge67D954w7aQrr0W9tsv\naqkcjtKjaLaJvHgZHwJdRGSxiPxIRK4UkVgC8vOB6SIyFQvZ65fJqahQhQkTzAz09NPNG3fBArj/\nfqcIwuLII+Hpp2H6dHOsO+wwU7Zf5B6V3eFwZEEYpqWPksLPwCvzd+B0LK/rpao6xadM5CsDVZup\n/u53ZjJ5ww02QIXhBexIzdq1dhh/7712tnD77bYd53A4UlM0KwOS5OWMkSafQVGgCmPGWCiIG280\n56oZM2w/2ymCwtC4sfX9/PlmknvOObYq+9//opbM4aga5KwMNHlezhip8hlESmwl0Ls33HYb3HKL\nnREMHuwOhqOibl07l5k71xzXfvhDOOMMC+DncDjyRyFMS5PlM4iUd9+18BDXXWcz0ilT4Nxzd8cH\nckRL7dpw5ZUwZ46Zow4caKuFr4o1dY3DUeIUauhL3M+K7HBgyhTbfrj0UvjpT+3A8vzznRIoVmrX\nhp/9zFYKxx4LJ55ov92iRVFL5nBULkLLdJaCwPkM4uOTh+1nsGgR3HqrRQ697TYLIFerVmjVO/JM\n3brw61/DT34Cd99t1keXXWa/aZMmUUvncBSORD+DsCiEn8EA4BpVHeDlM7hXVY/yKZcXa6K1ay26\n5iOPmJPTdddFm6zFEQ7Lllmo75degptustWDO+x3VEWKxpoonZ+Bqr4OzPfyGTwEFCS/6Pbt8MAD\nlidgzRpL2HLnnU4RVBZatTJT1IkT4Z13oFs3ePFFMwpwOByZE8rKIAzCXBm88YZ5tLZtC3/9qzmN\nOSo348fbb964Mdxzj+VfcDiqAsW0MugvIrNEZI6I3Ojzfl8RWSciU7zHbbm2mYyvvzYzxF/9ykJI\nvPWWUwRVhZNPNuOAYcPsGvjJTyyns8PhCEZOykBEqgP/wJzOugJDROQgn6Lvquqh3uP3ubTpx7p1\ndrh47LGWdWv6dEsqE1KeaEeJUL06XH65TQoaN4bu3W1luG1b1JI5HMVPriuD3sBcVV2oqtuBkcBA\nn3J5GZbLy+Hxxy2B/Nq1di5w7bXOSqiq06iRWRy9/75tH/XsaWG0HQ5HcnI1LfVzKDsyoYwCx4jI\nNFIkt8mUzz8366AdOyzlYu/eudboqGx06QKvv26hRq66ypTCPfe46KgOhx+5KoMgJ76x5DabROR0\nLLmNb+zPIH4Ga9aYn8ALL8Af/mC25s5hzJEMEUtCdOqpdo50+OHwf/9nJsbOFNVRihSln4HnNzBc\nVft7z28GylX1rhSfSZrcJpUs5eWWYeyWW+C88yyyaNOmWYvuqKIsXLg7EOH991ueZoejlCmKHMgi\nUgP4GjgJWAp8DAxR1ZlxZXJObvPFFxY6YscOy5LlzAYdufL66xYQ77DDbOuobeTRshyO7CgK01JV\n3QFcA7wJzABGqerMsJLbbNhgB8KnnAKXXAIffeQUgSMcBgwwg4OuXeGQQ+zAefv2qKVyOKIjjN12\njXuUA6jqQ6r6kPf/A8AEoJ732Jq2QrVcuV277rYSuuIKdzbgCJe6dc0r/aOPzNro8MPhgw+ilsrh\niIZct4mqY9tEJ2OWQp+w5zZRfGyiI4H7UsUmmjfP4syUlcG//mW+Aw5HvolNQK691s4R7roLmjWL\nWiqHIz1FsU1EMD+DwMltfvc7y4170knmTeoUgaNQiFginRkzLH5Vt27w6KNmuOBwVAVyVQZ+fgZt\nApTxPa777DPzH7j+eqhZM0fJHI4saNjQ8jCPHWuB8E44wbYpHY5io7zcnCrDohB+BhAwuc0hhwzn\n0Uft/7DzGTgcmXDoofDhh/Dww9Cvn/mz/OY3UK9e1JI5qjoTJ07k2Wcn8uqrsHNnePXm3c9ARP4F\nTFTVkd7zWcAJqroioa685DNwOHJlxQpzUps0Cf7+d3NicziiYONG205/5BH47W/NsKZGjeI4M/gU\n6CQi7UWkFjAYGJ1QZjRwMexSHmsTFYHDUcy0aAEjRtgZwvXXWz5ml3bTUWheecXOshYvtmCcP/2p\nBWcMi7z7GUSV3MbhCJt+/cwB8ogjzAz1rrtcRFRH/lm0yFajN9xgK4KnnoKWLcNvJ+ttIhFpCowC\n9gMWAj9U1bU+5RYC64GdwHZV9Q0p57aJHKXE/PkWKHHRIvOKP+GEqCVyVDa2bbMQ7HffbfG0rr/e\nP55W5OEoROT/Ad+p6v/zkto0UdWbfMr5xiLyKeeUgaOkULUczL/6lSmDv/wlPzM2R9VjwgTztzrg\nADun2n//5GWLwc9gl/+A93dQirIuzYyj0iEC554LM2dC69bQo4fduDt2RC2Zo1RZsgSGDIEf/Qj+\n/GcLv55KEYRJLsqgRdxB8ArA15EMMyMdLyKfisjlObTncBQl9erZ+cF771lujcMPt8Q6DkdQtm+3\nLaGePW01MGOGGSoUMltjSj8DERkH+C18b41/4kUkTbbH00dVl4nIPsA4EZmlqpP8CgbJZ+BwFCsH\nHQRvvw3PPgsXXGAHznfdBa1aRS2Zo5h5+22LoLvvvubb0tk328tuii6fgecv0FdVl4tIK+AdVT0w\nzWfuAL5X1b/6vOfODByVhg0bLPnSf/4DN90Ev/iFS8fqqMiiRZa7/bPPLIx6tiuBYjgzGA1c4v1/\nCZbBrAIispeINPD+rwecCkzPoU2HoyRo0MD2fD/4wGZ+Bx8Mb7wRtVSOYmDTJhg+3HJp9OhhW0KD\nBhV2S8iPXE1LnwX2Jc60VERaAw+r6hkisj/woveRGsBTqvqnJPW5lYGjUqJqyXT+7/+gUyf4298s\nP7OjaqFqW4jXXw9HH23WZ/vum3u9xbAyOAloBRwA3BTzMVDVpap6hvf/fOAmoA5QGy/fgcNRlRCB\nM86wgHd9+0KfPmaOujqlsbWjMvHxxxaF+c9/hiefhFGjwlEEYZKLMpgOnAO8l6yAl+/gH0B/oCsw\nREQOyqFNh6NkqVXLZoUzZsDWrXDggXDffc6LuTKzeDEMHWrbQD/+MXz6KRx/fNRS+ZO1MlDVWao6\nO02xIPkOHI4qRfPm8M9/mmPRG29YvJnnn7dtBEflYN06Mxw45BDo0AFmzzbfgTBjCYVNvhNJBsl3\n4HBUSbp3t7wJDz5olkfHHOP8E0qdrVtttde5M3z3ncWy+t3voH79qCVLT0plICLjRGS6z+OsgPW7\nuY7DkYZTTjHzwquvhmHD4MwzYdq0qKVyZMLOnfD442YYMG6cJZ35z3+gTQlNfVM6nanqKTnWvwRo\nF/e8HbY68MU5nTmqKtWqmSL44Q/h3/+2PMz9+sEddzjLo2KmvBxefNF+p6ZNLaJonz75bbPonM52\nVSDyDnCdqn7m814N4GvM8mgp8DEwRFVn+pR1pqUOh8f331uco3vuMUuk22+3MAWO4kAVRo82JVCz\npiWa6d8/Gl+ByE1LReQcEVkMHAW8JiJveK+3FpHXIHm+g1yFdjgqO/Xrwy23wNy5dgB55JFw6aV2\nEOmIjvJyi1Tbq5cpgt/+1sxGTz89eqexXMnF6ewHwHDgQOAIVf08SbmFuHwGDkdOrFkD//gH3H8/\nnHwy3Hyzea86CsOOHfDcc/DHP1pOgdtvh7POsu29qCmGfAYHYk5kDwG/TqEMXD4DhyMkNmww66P7\n7oNDD7XsV8cfX/qz0mJl0yZ47DGLKNqmDdx6q53nFFN/R75NFNDPIEYRdZ3DUbo0aAA33miZ1s45\nxxKiH3kkPP20c14Lk6VLbfbfoYPFlnrqKZg0KbpzgUJQiEWOy2fgcIRMnTrwk59YYp1bbzUzxg4d\nzF9h5cqopStNVGHyZPMY7t7dtuYmTTJroaOPjlq6/JNvPwOwfAaHAqcDPxOR43KS2OFw7KJaNQt9\nHPNmXrDATFGHDIF333VezUH4/nsz5z38cLjwQvManj/fzmjS5RaoTOTbzwBVXeb9/VZEXsJCVLjk\nNg5HyBx8sK0Q7r4bRowwJ7YdO8wKadgwaNs2agmLB1Xz9v7vf23m37evBZE7+eTiOBRORan6GewF\nVFfVDV4+g7eAO1X1LZ+y7gDZ4QiR2LbHY4+ZJcwRR9iK4ZxzoFGjqKWLhlmzYORIOwOoWRMuu8y2\nhUo5G10xWBOdA/wdaAasA6ao6ukun4HDUXxs2mROUiNHwjvvmHfzeeeZQ1uTJlFLl19mzrTc1KNG\n2XnK4MGmFI84onIcBkeuDMLGKQOHozCsXWuOUy+/bIrhyCPh7LPNZLJTp9IfILdtswxzY8fCK6/Y\nmcCgQab8jj++uCOHZkPkpqUi8hcRmSki00TkRRHxXXiKSH8RmSUic0TkxuxFrTrkYz+wVHF9sZuw\n+qJxY9seeeUVWLYMfvpTC4zXrx/svz9ceSU884yZVxYr8X2xcydMmQL33mtKbZ99zPy2dm1LJLN4\nsR0Gn3hi5VMEYZLLUclbQDdV7QnMBm5OLOCS22SHGwB34/piN/noi3r14Nxz7eB58WIYM8aS7owa\nZR7OnTrBxReb5/PkybB5c+giZMyKFfDvf0/kjjtgwABo1sy2fWbOtL/z5lmIiN/+1sJGlPpKp1Ck\ntCZKhaqOi3s6GTjPp9iu5DYAIhJLbuPiEzkcRYaI2dd37275msvL4auvTAl8/DE88gh8/bWla+ze\nHbp2hY4dbTVxwAHQsmV4ljhbtsCiRWbiOW+exWT68kuTZ9s2O+do396c7h591Np25EbWyiCBHwHP\n+Lzul9zmyJDadDgiY9KkSVx++eXMmjUrr+0sXLiQ/fffnx07dmT82RkzZnDJJZfwySef+L6/YsUK\nTjzxRKZOnUqtWrX2eL9aNVsd9OhhDm5gA/GcObsH5nHjdg/Yq1fbFk2rVva3USN7NGxoKT9r1rRH\neTls326PLVssK9i6debktWKFbV1t2gTt2u1WNB072mF39+7QujXceSfEWaI7QiDlAbKIjAP8dO4t\nqjrGK3MrcJiq7rEyEJHzgP6qern3fChwpKr+3KesOz12OByOLAjjABlVzfoBXAp8ANRJ8v5RwNi4\n5zcDN+bSpnsU3wNYAPTz/m8AnAXMBx6NK/MO8DegLnZWdQg2UYiv50ngQqA9FgSxmvf6PsDnwC+T\ntNkamA78yXs+H/g1tvKtCRyDecID9AUWe//XBl4FxgN1o+7HJH1boS8y+FwrYBVQK6HPTkoodwww\nPerv6R7RP3KxJuoPXA8MVNUtSYp9CnQSkfYiUgsYDIzOtk1H8aOqG9RWjYOBS0Skq/dWL+C/qrpZ\nVctVdaqqjo19TkSqAScDY33q/BYYhxkh+LW51PtcNxHZGxtAH1bVHaq6XVU/VNUP4j8jInWBMZhi\nOkNVfY9GRWSAiHwlIutFpExEfu293tfL5xErd5iITPHKPSsio0Tkd3Fly0TkWhFZISJLReTSuM+e\n4X12nYh8IyJ3pOjiRPlu9Ope71nt9fPeOgX4TFW3eeVGAPsCY0Rkg4hc55X7GNhfRNrtWbujKpHL\ncc/9QH1gnHchPwguuY3DUNVPsDOiWCyq/wEPishgEdnX5yO9gflaMdS5gF1TwGnARwmfib3fDot9\nNUVVVwFzgadEZKCItPBpqzamPDZhk5mtKb7KI8AVqtoQ6AZMSCzgTXReAh4FmmDnZ4OomAO8BdAQ\nW8X8GHggzhz7e2CoqjYCzgB+KiIDU8gUa7cL8DOglyffqcBC7+0eWJZBAFR1GPANcKaqNlDVu73X\nd2D9dUi69hyVm1xCWHdS1f1U9VDvcbX3+lJVPSOu3Buq2kVVO2oS72NHpWUp0NT7/wdYTKrbgfne\nBKJXXNkzgNcSPv+diKzBlMr3wAtx7wnwsvf+JGAi8EfvvROxQfGvwFIReVdEOsZ9tgFmyPCEqm5P\n8x22YSuOhqq6TlWn+JQ5Cgu7cr+q7lTVl7AZdzzbgd9677/hfZ8uAKr6rqp+5f0/HRgJnJBGLrCE\nUbU9+Wqq6jeqOt97r5HXRhA2eOUdVZjIQzJVZac0EWknIu942xBfisgvvNebehFjZ4vIWyLSOGpZ\ns6QNsBpAVdeq6s2q2h2bJU8FXo4rezrwuueb8ho22O8NHICdN3QFFsf1hWKz+iaq2l5Vr4nN8FV1\niar+XFU7AvsBG4En4tr6DrgAeFxETk3zHc4DBgALRWSiiBzlU6Y1sCThtcUJz1epannc803YyhoR\nOdK7DlaKyFrgSqCliDyPnWcI0DvxuvC+x6+wjIMrROQZEYlF2VmDKb0gNADWBixbcETkZu8emS4i\nT4tI7Up0j6RERB71thanx72W9Lt7fTXHG1PTXdsViFQZOKc0tgP/p6rdsNnlz7zvfxMwTlU7A297\nz0sKETkCUwbvJ77nbeX8FWgtIk1EpCXQypt1/xKYE1f8Jmyb8Thsm2V4JnKoahnwINA94fWXgcuB\n50Wkb4rPf6qqg7BD7JeBZ32KLcO+azx+W2HJeNqru62qNgb+ha1cXsfOURSYhc91oarPqOpxmNJT\n4C6vzi+AxADMe1jsiUgNoCMwLQN5C4aItMd+p8NUtQdQHVPkJX+PBOQxbHyMx/e7e+dzg7GxtD+2\nLRt4jI96ZbDLKc1brsec0qoEqrpcVad6/3+POeO1Ac4GHveKPY7tPxc7sf37hiJyJrZvPiK2/SEi\nd4lINxGpISINgJ8Cc1R1DbYqeENE2mKz8JFxdZ7t1TUMWMGeN0ZFIUQai8idInKAiFQTkWaYH0zi\neQOqOhI703pFRI7xqaumiFwkIo1UdSe2nbLTp9mPgJ0ico33/QYCR6TsrYrUB9ao6jYR6Q1cBDRX\n1Ufjyqxnz+viByLST0RqA1uBLXHyjQcO884zYqzAVlrx9AYWqmriSqZYWI9NmvbyFNde2PZjKd4j\nGaOqk7BVXjzJvvtA4BnPaGIhdhbkm3Pej6iVgZ9TWuIMq0rgzYAOxby5W6jqCu+tFdi2SrEzRkTW\nY4eUN2Mz/8vi3q+LHbKuAeYB7bCLGuy84HXgHsxCLTaDXYvtq3+BzZTPJH1fbMNmyeOxaLrTgc2Y\nGXSMXTNkVX0CM0N9LeEMI8ZQYIGIrAOuwAbqCvV4FjvnYgfDa7wyr3qy7NGmD1cDv/X673ZP9i0i\n8phXD9ggmHhdNAP+BHyLrU6a4YWF8cpNoOIg+SfgNhFZIyLXeq9dBPwzhWyR4hkU/BW7rpYCa9Wi\nH5TiPRIWyb57a2wMjZHZeJqLXSp2Q78DfAV8CfwiSbm/Y0v/acChca+fh5kAxp4PBe7PRaZSfGAz\nw8+AQd7zNQnvr45axjx+9xrYYHY+8ID3Wl9gTCn3BabUL8nys72w2fAR3vN7gd9l2hfAQcDHKd5v\njln51cpGzgL14wGejHt718pL3jhRktdFln3QnjhfkGTfHbPwvCju9f8A5wZtJ9eVQbI9712IyACg\no6p2wmZW8bOQJZhCidGOipqt0iMiNTErmRFq+9hgh4EtvfdbAZU5q20T4DbgMOBsEVmAbQv1E7ON\nL4m+EJHjRaSlt010CXZGsYfPREDKgDI181yA57H+WZ5JX6jqTFVNuk2gqitVtat6vghFSi/gQ1Vd\npWYG+yJwNBn2RSUj2T2ROJ62ZU/DhqTkpAzUf8+7dUKxXftbqjoZaCy7bb+rtFOaiAhmxz5DVe+N\ne2s0cIn3/yVUtLqpVKjqt6r6kKreoqrtVLUDdkA4Qc02vlT6ogtmIbUG+D/gfN29lM8IVV2OWU7F\nDoBPxlbfYyiNvgiTWcBRIlLXu19OxlYKVbEvYiS7J0YDF4hILRHpAHRiTxPn5IS8lFkE1E94fQxw\nTNzz8cDhcc9Px5xj5gI3R70kK/Dy71gs1MBUYIr36I/Z5o/HQoO/BTSOWtYC98sJwGjv/yrZF0BP\n4BNsa/VFzA+gqvbFDZgynI5NLGtWlb7AVslLsfOnxdg5XNLvDtzijaWzgNMyaSuUTGciUh9z+vm9\n7t7qiL03BvizeuEARGQ8cIOqfp5QzgWqczgcjizQKDOdxYjb834yURF4BN7HylRrrl6tNGigvPOO\nst9+Snl57pp4506lRQvlvfeURo2Udesqvn/HHXfs+v/dd5Xu3ZWHH1YGDQpnJrB4sdK0qfLGG0qP\nHtnVES+jqrJli32X999X9t5b2bq1sLObxx5TBg5Ubr5Zufba5HKqKmecoTzxhNK5s/Lhh+G0//Of\nK8OHK6edpjz5ZO79qarcc49y8cXK1Vcrd95Z2P5UVQ48UHnzTaVJE2XJkuRyZvLIV9/feWfFvveT\ns7xcad3a7qlGjZQ1awrbn6NHK8ceq9x9t3LJJeH0Z6EeYZGTMkix5x3PaOBir/xRmGlYVnupiYwd\nCyecAH372vMwQst/+ik0bQrHHQeHHw6TJiUv++qrcM459pgwweKz58qrr8Lpp8Opp8KSJeGkHnz3\nXUtE0qcP7LefJSopJGPGWB+dey68+Wbycps2wXvvwVlnWflUZYOiWrH9sdke6SYQ++3Tfad8MHeu\n5TE++WR7jB+fe51R9/3nn0P9+pajuHdvu2YLSeI1GuIYWzLkujLog5l5nSgWa2aKiJwuIleKyJUA\nqvo6FotmLvAQZlMdCm+/Df09F6R+/Sy5d66MH7+7zhNPtEE+Xdm994YOHUyR5ErsO1WrZkoujO+U\n2E+pvlPYqFp7/fvDoYeagluRZCrw4YfQs6fl6A1LzgULYOtWS9ASqzPXG33bNpP15JPhmGMsf/CG\nDbnLGpS337bJQrVq6a/RoMT3fVh1LlhgfdW9e/q+j/IajW+/QweoUyeciWWpkas10fvAf7HY6TXU\nAta9oWYd8hBY+F7Me3QDdlg6ICeJ45gyxWbvYDP5Dz/Mvc6pU3fXefzxe9bZ11uGbNtmF8whhyQv\nmw1hfKeYjGHWmS0LF1qe3RYtLBn5McfARx+ll/OYY0y5ZpHgy7dOEcuYVV4O33yTWR2Jcs6YYYNG\n/fpQt65dA2FMBIKS7BpNlDMT4vu+T5/89r2fnFFeo+vW2QSlS5eK7efSn6VIGB7IfrEzEnlXd0c3\n/X0IbbJ9uyXA7tHDnvfsCV98kXu9U6bYDBbg4IMtvV95XHix2AUyc6blYN1rr/DaX78eli+Hzp1z\nqzP+Ila1wSOmtMLqp6DEt53YfuLNFl+2fn1o29Zy3+bafuz3FMnu+/vJGasTCt+n8ddoly5QVgYb\nN+Y2eOWr72N1xve9n5zxZQ8+2BTuTr/AH3lg2jQbR6pXt+ep5KzM5KwM1D92RiK5p2RLYOZM2/+u\nV8+ed+1qe6nbcnCf2bDB9uhjg3HjxnZ+sGDBnmUTB7mDD859QJg2zZbUsYuyRw+rM5dtjdiZQ2vP\n+2PffW1/+Ntvc5M1KPEDF6Tup0zKZtJ+MmUUVp1hyBmUnTttgtKzpz2vUQMOPNDyEedCvvo+iNLc\nuBEWLYKDPHfVBg0swf3cubm1n62chfw9i4lCxCZS4BgRmSYir8vuzFc5MXXq7hsCbJ+vQ4fc9vq+\n+AK6dbMbLEayC2PatIoDQrdu1nYuh8jTplX8Ts2a2Swt020NvzrFU8ci9p2mT0/9ubBI/J2S9efm\nzaZ0DzoofdlMSPydirXOoMyZY1tuDRuG136++j7ob//ll6bQatYMt/2gJJOzqh0i10hfJGc+B9qp\n6iYROR3zlksMrQvA8OHDd/3ft2/flMu02bMrXrxgM/rZs+3HzIbZs+2ijKdLF//l8uzZu62YwLaL\nWrSwgfuAxLiQIbS/337h1Rnrp379/D8TJom/0wEH2Cxw+/aKN//8+fYda8XF2OzSBZ57Lvu2Yyug\n9u13vxb77rmQ2Kex30h1t9LNF5lco0GZN8/6KMy+37gRVq0K1vfJrtE5c/Ysmw9mz4bL4kIqNm9u\nK7DVq804pNiYOHEiEydODL3evCsDVd0Q9/8bIvKgiDTViukNgYrKIB3z5sEZZ1R8rWNHez1b5s2z\nOuI54ABbRvqV3X//PcvOm5e9Mpg3zyxU/Oo85ZTs60yUM9d+CsrOnXaAHN9+7drQqtWeSjNVf2bL\n/Pk2GFWLW//Gvnu2A/emTbBmze5tN7CtxGrVbPBr1ix7eYOQ7BodNSq3OhOv2TD6vkOHYH2f7Br9\n3/+ybz8TEr9/7MB73rziVAaJE+U777wzlHrzvk0kIi08fwS8WO3ipwgyZe7cPW+Kjh1z22cMWmd5\n+Z6DXBjtJ7spcqlz/vw9b/Rc6wxKWZkNjnXrpm8/2YA0d272y3W/796kia1Isj0z8VMwULg+LdR1\nn2vf+9WZrO+jvEY3bDDDjVatKr5eqPaLiTA8kJ8BPgS6iMhiEflRvJ8BFpp4uohMxULxXpBrm6q2\nhEx2AWfL3LnBLsolS+zCjlkSpSobFL9ZdK51Qn5mfUHxGxAguDJo0sRWEiuzjEeZbJWWy3WSrM5C\nKsDDOLQAACAASURBVIOwlWaygTuXvk/22/tde6kmAvkm1nZUyr2YCGNlsBlLRfe1WtTJR+P9DFT1\nASzJRj3vsTXXBld764rEJVwuP6Cq/wXcrp3dEFu27H7NbyaTa/tLl9p2Qz4UTIcOFV+P3ZD5PiDL\nRBnko0/zMXDnQ85M8OvTRo3Mqm758vDqhNy+U64TgbZt7T7ftCm79oOSj+9equTdzyBNPoOsiF08\niXu+7drZEjR+4A5KTME0bVrx9Ro1zBwz3rzUbzsHcptxp5rFzp+f3cCdTME0bJjb4BGUVN/Jb3YY\ndp/On5+f3ynsOoOyY4dtvcUfyobRfia/U9h1btxoTl+J2zTVqtn3nD8/u/aDko/vXqoUws8gVT6D\nrFi82AboRKpXt4O9sizS48Tq9DtU3G+/iuadyS6gWLlsBu5kdca8XL/7Lrw6Yc/vlA+S/U6Jbe/c\naRZGfoNsLnKm+52Kpc6gLFtmZzDxVj+5tl9ebtue7drt+V4u3ynob+930BxG+0EJKmdVoBB+Bn55\njtvmUuGSJdAmSWbPdu3sB85nnQsW+A9cjRqZMlm3LvP2k9Xp136UdWZCsj5NbDu2gkk8aPYrG5Ty\nclMwiVtkudQJyfs0yv7Mpf3vvjMnrzp1wqtTNfhvX6zXaOvWFqIi15AcpUQhlAHs6YGc0251Pm6K\nsrLgdZaV2Z5m2O2XQp2ZkOx3atbM9oJj+8H5kPO773avqsKqUzW5rG3b2veND10SNplco0HJx720\nfr1NiuId45LVWazXaM2asM8+thqrKhTC6SxwPoOgTmdlZRa2wY+2bbO/KZJdlG3b7g6uFiub7AaK\ntR+LmZRJ++nqzJQlS5I74OX7Rks1OxSx1xcvNuemfH33dINcpr4GqQa5OnXs9ZUrLZRCPkh3jb79\nduZ1phqMs+37IAN8rO/T/U558K2qQJDv77eFFiUl63SG5TO4BhiZLp9BUKezdBdQNqEWliyBo45K\nXmfMGzPVIBcrWyyz+LIyGJAkRmy7djB5cuZ1BmXVKju4Tjy8jm8/pgwKvSpq0MD23TP1ME1VJ+yW\nNZ/KINV1l81ZWaG3XBs0sFn3mjW2NVhWVtGTP4z2g7Jjh60gk/1ehViZZEPROp2l8zPIRz6DKLeJ\nggxypXBT5vtCT9V2YvupyjZtasEHM80XEKT9TH+nTL5TPij0NlE++z7Ib5/v/ly+3LYsaySZEher\nMsgXYZwZPA6sBxYB/0j0Mwg7n0Fs3zYfN0WQpW2qctm2v369WdQ0ahRenRDtfmzQWTSk7lOR7GTN\nx++UjzrDar95c7uOMjWrTvU7Zdv3qe5PqFhnumu0rCx//jCZXKNVgVzTXlYH/oH5GXQFhojIQT5F\nQ8tnsGaNeUbWr+//fj5mSA0bmtnq2rWZXeiZtN22bfL962zq3LLFBod99vF/v1Ur88kII1WnH5nM\nDvPRp6VSZyak6tNq1bIzq87Haieo0kw3sYutwLMxqw4qZ5S/Z7GR68qgNzBXVReq6nZgJDDQp1xo\nsRzT/YB7721pDr//PnidGzfa4JnocBZP7MLI182Tqs62bc38MpNkH0uX2l6on/022NK4efNwciz7\nEdZWQWLZsNrP5nA0ysEj3VlVtu1H2ffr19tzvwP5xLL5wCmDiuSqDPx8CBK7N9R8BulmZyJ2AWUy\nQ4pdFKksS2IXRrqlZaztTJa26b5T7doWKyZZ7mA/0s3OIL8Xe5AleKyf8nFT5mMLIMpthdWrzWIp\nlswprPaD/k6Z1hnkvCbdijhWNuprtKqQqzIIMuTF8hn0BO7H8hlkTZBBLtPZRLrBKL7OdGXr17fB\ne9WqzNoP+zuluyEhvzda0NnhqlXmC5BqkCuWWXw+VhthtZ1N+99/b9uEjRuHVycE3yYq9mu0ZUu7\nPnPJnlhK5GpamuhD0A5bHewi23wGyfwMgt4US3w9GfwJclHGtmqCDtxLlgSPbb9kiaXtDFJnUDKR\nMx+k+52aNLGBaNas8OXcsMHMBtMNcpl+93R92qaNrd527tydujQsgl6jM2cGrzPIirhtW3jxxeB1\nbt1qZ2vNm6euc8mS4r9Gq1e3hFXLlmWfXCofFKufwadAJxFpDywFBgND4gt4cYhWqqqmy2cQxM+g\nrAwOPzx1mdatM9sLD3JRtm5tdvlBb8olSyqm0ktFWRmcemqwOoOSj9VGJqRbgotYn37ySfjKPcgg\n16aNlQvqeLZ1q4UZSXYgD+a70KSJOZ4lBl7LlaDXaCaOZ+l+o1idmdxL6c6q4usMei9l40wXhEy+\nfzEpg6L0M1DVHZhD2ZvADGCUqs7MZz6DICuDNm0yVwbp6mzdOvhspk2b7M4swqwzyIWeaZ1B2bQp\n/YF8rP1PPslPf6ars359G7zXpAqxGMfSpTbApxrkIH99msk1GnadYd9LDRqYAp45M7prNMhZVaz9\nfBlZFBthRC19Q1W7qGpHVf2T91qFfAaq2l1VD1HVY1Q1p2R2QWdIYW8TtWljCXW2brXZX7qy+Wg/\n7Bs90zozabt16/Qz7tat4eOP08vZtKn1+8aNwdoP0p+Q2ffPR52ZEPQaCXvgbtbMtt2C+i8EuT/B\n2g3y2+erP2Mm6qnOqiDzsaSUCcMDub+IzBKROSJyY5Iyf/fenyYih+bSXr5mM0EUzLx5wQa5TLY1\ntm2zC7NFmqDe+ToHyZcyCDIgxPo0nZyxWEZBZQ1yjUBm3z8fdWZCkD5t2dK2qIKaIAeps1o1qzdo\nwLag/RT0t4/1Z9iOZ5lco25lEIAgTmdhJrfZvNlmKekOZvM1Q4LUe8bx7Qdd2i5bZoog3YFjJnXu\n3Gmu9vFJ2/1o3draDzvSZiazaAg+kwz6/TOZnUZZZyYEuUZr1tx9ZhGEoL9TJgNiJnVC+j5t0MAU\nUjZh4VORyTXqlEEwgjidhZbcZulSu4jS7du2bGlWHUEGuR07gkWajLWZrm3I7/ZDkBnSypVmSVO7\ndupytWpZuWzz3CYjk9khlMaWTilsE0FmA3cmv1MmdQZRmrEAgamsjmLko0/z8d1LnUI4nfmVySq5\nTdAfsFYtG7SnTUtfdvlym+3XrBlMhmTxg+LJZKtg4sT0M3jYHe1x7dr0ZT/4ILhZa1BZlyyB//wn\nWJ2ZLMFjMqQjqJzl5danYdYJMGFC+HWOHGmmtenYvNkO5YP8pi1bwrvvBms/k99pwoTgdQa5R2PJ\ndIJMroL26apVcP/96cuB2ybyI1fT0qA7eYGS26TzMwg6OwI45hj43//g0DQnFEEvXoCxY4PFNm/a\ndPcNnCy6aYzp05PnHEgkNkNKd4A9dWp689v4OoOY6z7/PPzqV/CTn6Svs6wMjj8+fbleveChh9Jb\nHcXknDMnfbklSyzMQZA+bdMGXnklfbnycvjiCzj22GB1BlUGQ4bApZfCY4+lLhf0QB7MnPnLL9OX\n277dYv6kO6sCu4ceeSR9OQh+j/7sZ9C7d7A6g269TZoEv/gFXHFF+lVxWZldf+nYbz+46qpgchaK\nYvUzSOt05lMmUHIb38YyGLj79g12U2aiYE47LVi5mA39kiXQqVPqssuWwZVXpi4TI3ZTJEvsE2Pp\n0uQx4v3qDNJPsTgyGzbYKiUVQX+nvfayGzcIbdoES3SydKnd5OkGg1idQWecTZsG3yaKhdkI6r+Q\njkyu0RNOgHvvTV8utiJOFr45nj594I9/TF+uvNyu5yAr3X339c897EfQ3yl2yL1sGbRvn7rskiUw\n0C+KWgL165uCKSaK0s+AOKczEamFOZ2NTigzGrgYIF1ym3QEXdpB8AsokzozIejSNnYOUux1xm60\nqPq0VPqzYUNTAjHlmYxYjoAguQIy6c9Mtv0yvZfSnVfF8in7pRrNhUx+J4j2vi9l8u50FmZym0xm\nSEGXlpmsNjIhSPuqmQ00QRVcpnUG6afYjZaubNAD+UzJRM6gv2ezZhafZ/Pm9HUG7c+gZrCZDlxh\nX/eZ3EuxeFurfeMGZFdnJoR9jcbK5EPWUiZrZSAiTUVkHHAfltiml5/TmYgsBI7HkttsVdXPs20z\nk5si6GwinxdwuvbXrTOT0nTbLvF1hq3gMllBde6cvuyKFWYpEvRAPigtW1r+hR07UpeL7a8HQcS8\nitMdEGY6YQjyOy1dGqw/IbNrtEkT811JF8I90+8U5H7K58QqzGt082ZzYAxqZFFVyGVlcBMwTlU7\nA297z/1QoK+X2CbgkZE/mS5tgw6c+VguBp0dBh24gta5ZYsNBEFz+2ay2ujdO32f5qs/a9a0m3f5\n8tTl8tGn+ahzyRI45BBzOEx3bpBJnwZdmWT6O+WjzjDbhuDXaOz3DHKmU5XIRRns8h/w/g5KUTbn\nbg/qSBWjcWP7TLq923zNZoLkVMh0kAkyO1u2zGa7QS/0IHLu3Gmz8sMPT99+PpffQfs00xlvFL/T\n0qVmmRbEuzeblUnYv1OQyVW+fvvmzc2kOp3SXLoUjjgi2mu0lMlFGbSIOwheASQzUlNgvIh8KiKX\np6ow1Y8dc6SqVSuYcEFmSOnS7uVCVDPOTOts2ND6IZXSXLnSrGnatw+2MsjXjVYqfZpJnfkYZIMo\nuFLaJqpWLf123tatdhjfs2e012gpk9KwzDsT8DsKvDX+iReeOpmtQR9VXSYi+wDjRGSWqk7yK3jD\nDcN32dAnmk8FicKZSOwCPsgvKzN2IJYqn3Iu5GN2ts8+ds6wZctup51c64xXmsnSD8bqDPqd8mWl\nka8Z7zffhF/n2LHp6zz66PSDbOxAPpOQ2Pn4ndq0gU8/DbfOTIh9pw4d/N9fssT6qF27aK/RQhCJ\nn4GqnpLsPRFZISItVXW5iLQCfIMaqOoy7++3IvISFsLCVxmcf/5wjjvOv73Fi4M5fMWT7qbIps6g\ntGplN/GOHcltuRcvhm7dgtcZS3q+dCnsv3/yOjP9TrGZZDKlGaszyOxw8WLo0SOz9oOSbsa7YYM5\nU6Vzykus88MPU5fJtE+D9lO7dumv0WXL7Kwk6Io41v7XXyd/v7w88/39tm3h5TQ5CvN5P6X77WNt\nx8fbSubdvHgxdOyYHzkLQTH6GYwGLvH+vwSfdJYispeINPD+rwecCkxPVmHYA3fQCygf1Kxph7ip\n8hYXi4ILWmfz5raaSpUGMJ99GlTOTA4G09W5ebNtoQWJoRO0TqioYMO+RtNtPX37beb+AEG2XIvh\nt69Tx1a4336bvqyjIrkogz8Dp4jIbKCf9xwRaS0ir3llWgKTvMQ2k4FXVfWtZBWm+rHLysIf5LKp\nM+r2093o+VAGsWV1fBrAdGXzQVA5w6wztr8cJIZOjObNU1sJxUJBtGqVv2skH/2U6rpbu9ZWwP+/\nvXMP0qo8D/jvYReohI2KOGQRUHYFL80gEEc0iqAot7oqSf5IpUnVsTNpmppSbwUn45rJTJM6vTpD\n/2ib2jo1qRMZB8fqQEeNJhmrY7msZrksCLigYFHAiCwbePrHcw579uw53/ed2/edhfc3s7Pfd875\nnvd5b+d53+e9xbkas5IkTkXE/0wgizFYALQC7cBfqOohAFXdp6q/533eiU05/R1gNFBxH9G8X3KN\n7BkUFX41F0TR6VTp2ZMnzYVVVEUrIj0nTrRZanFnAKSR2dRUeZbQvn1mVJubiysjecscP9722opb\noFemutToej9cyWIMuoBlwKtxD9Ry3kGQai+5vFt9aWTmFf7Ro+kWvhQRpySup0rP7t9f29bZaam2\nLUKaSh48tzhOZpoyUimdgjKLyM8JE2w/pf7+eJlJ0ym431ZeeiYhrzLa12e9mFo26DvTSG0MVHWL\nqm6r8lgt5x2cot7uj6JbCLW8EJIufKlW0D/6KPlWEEnSqVLPpOj0rHZucdrwq+VTkTKrHTCUJvzm\nZnNVxS3QSxunSi3uRtalcPiVymhvb21nopyJFJ0kF1D9vINTxGWgv+As6dzgCRMqD3g2smtbRIX0\np9dVOzUticzwYr9KvuN6dL/rnaZFy6w24JnFGOUdpyKMZq0kMZqNLqPDlbTrDFap6nM1yE90cmlv\nbyePPGKt5eD0qffft5k5SabXweABzwsvHHwvzfS6pDSyxZkEf8Dz+PGhaRxO+wsugLfeig+/6IE5\nP/5R5xUU5dJZujR/me3tQ5+Ncl0UVU6KSKcbbkgus1aCRjOcTkeP2hYsvsu1iLiXidKtM6iRvVQ/\n7+AU553Xybe+NXSBTRZrPmmS/T5sDD780NwO1Q6fyUIRL+5K86jTyqxkNMMy/fSMoh6trrg0zTK1\nsSijXcloBs+b8NN09uzBzx0/br7/JAvOwjLjwk/b29mxI1+ZSYgzmv6iQL8+NLqMFk0Z1xkEifN8\n13LewSna2mDnzqHXs2RgWxu8+26+MmvF765GDXimDX/0aDt6M2rAM0uc4rrWYZlx6Zk1/FqJ0/PQ\nIXsZ1HIsaa0yoT5umrg03bvXxn+Suv0qyTxxwox+mu0Y4uonNDbvw2FPnQq7d0e7lE4HY1AUWbaw\nXiYi7wFXA8+LyAve9VPrDOLOO4iT2dYW3fLYs6f2U5HqIbNWWlrs5X3wYL7hT5kSvYVCPWROnGgu\npaNH8w2/VuoZ9yNHrHVe6w6wtciEobrWs9z7br80M77iZPou16JfsrXm/ZgxNqstai+jepTR4UqW\nnkEzcAQYBSxV1SUweJ2Bxz8Cfdh5BssqCWxvj2559PSkXz7e3h5dgLPIbHT4jZQ5YoRtWJd3PtVK\nPeO+Y4fdS7PV8eTJNtX22LHB1w8ftrn6QVfHcCkjbW2wa9fQFndvr21kWKTLFZLFqdH1fjhS6DoD\nj5rPM6h3Ra9Hobj4YtM/SH+/VaBq57QmkQkDL6+0MrNUNH+L4STbNqQhiZ61MnmyjSGFF1Rlkdnc\nbOMvYVeNX+6CBqaIMjp1qr24w4vpssRpzBh76YfHV+r1gs1aRk+cMPdR3L5eZzpFrzPwqaltVUSl\niPNzNrIA795t/s+ks6MqyTx+3CppeAA4icw4AxNV0cJpGvWSK4JJk2wrh7CbKksZaWoywxz34k5L\nVD5FlTvfx13EizvsKskap6g62siGVVz4UWX0vfessRK34++ZTj2WXtR8nkFUQevrswKd1s/X2mq+\n3/AxgD096VvRSWhvH1qAs4YdJXPXLntRpjUwUTLj0j4qn+qVnv6LO1zRi0jTesk86yzz40e1uLOG\nn3c+NTLv/UHxoJtKNTr8Ruo5XKloDERkvYh0Rfx1JAjjWlWdBSwB/kRE5sY92Npq2xB/8snAtV27\nrBuf9kzdESOs5RV8efT1mT+3HgNJUa2ZrL2SKJlZXERgA8OHD9sWGT5xaR9X0erli621xV0GmVH5\nFCUznKaqxbTis8apkXkf5aY6eNB6o+PGlUfP4UrR6wwSnWfw6KOdtLTAfffBHXfYXNqtW+2Q6yxM\nmwZbtgwsVOrpsdZl3DkDeTJ9uoWtOuBCyRqn1lZ7aX/88cDe/VlljhhhFWXLFjvespJMPz2DbN06\neO58kUyfDt3dcJu3scmnn5rrKMtslunTYdOmwdeypun06bA2NJF661b45jeHPuunqb9wa//+gX2T\n0hLOp5MnYft2u55F5tNPD76WRx2tFT/v/bz2ww67J6dNs3t51ruyUNSis0LXGSQ9z6Czs5NFizqZ\nM6fz1KKKzZujV5smYebMwRV906bsMmtlwgSbxhdcBJM1TiNG2O/zjtPMmbBx48D3OD0vvthevocO\nVX+2CMJ6dnXZwTxZjHtY5oEDNhMoy2pVv9z560xOnrR0ijr8p4gyGo7Tjh22SjfNWoygzKCefX0m\nN+5gpLyptYyed56tWA6OA9WzjBbJ/Pnz6ezsPPWXF4WuMyDheQYAs2bBhg0D3/PIwCJkpg1ftbxx\nqlWmb4z8Stnfb62uyy/PFn7eeiZhxgx45x07mQ7MwMyYkW1AvLXVDJS/UGr3bnsRh10aUGx++sYo\nD5nTplmv5fBh+97dbS6ZonaqDTNzZu3pFHxWtb6NwOFIlp7Bl4HfANuAXwFfh2znGcBQy79xY/4t\npDxkpg1/zx6bzXD++fnJ7O+3SvnFL+YnEyqnU/DZ7m6bxVT0PHOfSy+1npY/KSCP/GxpsRle/nGR\neZWRYDpVkjljBrz99oAxyiP81lYz3L6PPQ+ZTU3Ws/F7B/WuS7Nm1V5Gg8/u22eGPemOvmcSWYzB\nOuB3VfUKzCCsDD+Q9DwDsMqzebO94N5/39wRWbugU6YMzIz57W/h9dftMPI0pPHVzZ49cJj4a6/B\ntdemCztO5ptvwiWX2F5LaXWEZGkfDP/VV9PFKa2eI0fa2dF+q6+INA3GKYt/tta8//znzRh1d1sr\nNk2cwnqKFF/20uR9lvS87DJrUB05YmNFXV1w5ZXRz86aNVTPJD29IvzyZSbLOoP1quq39P8HiPKu\nJjrPAGzAbPp0+OUv4ZVXYN68dHuzBBGBBQvgxRdt87ApU9K3zNMUkPnzrTAeOwYvvQQ33pgu7CBX\nXGF+7T17hspMW4iTpP2CBbBunc2Nf/nldHHKUtn8/DxwIHqTtywyT5yw/PIHc/PQEyyfKu3s6T+7\nY4fpkHSgN0rPm24ymZ99Zi/G665LJrOSnpAu77Ok58iRFof1662czp4Nn/tc9LPz59szn31Wfz2H\nI3nNp7kb+EnE9ajzDOZUE9bRAc88Yy35JUvyUbCjA376U5tdkZfMWhk/3rrWzz0Hzz8PDz+cXWZT\nk8VjzRpLq8ceyy4Tak/7iy6ywfEXXrCX3OrV+YRfKx0dcM891pq++eZ8Zobdcgs89JDlU1tbPqdh\nzZ0L27ZZGu3bF9+KBYvT979vA81LluSzgK+jwwzQ9dfDVVeZOywrCxfCnXdaY0DV3Hb1xC+jY8dW\nLqPnnmvGYu1a+7v//vrpOBzJfJ6BiDwMHFfVpyKeS3Segc8991gBGzsWnngijYShfPWrsGoV/Pzn\n1rWsNytWwNe+Bl/5Sn4LX+69F+bMsV5CHr0NGEj7lpbqab9ihVXMu+6q/zGC11xjg7Hf+Q784hf5\nyGxthUWLYNkyeCqqNKdg1Cj49retNf2DH1ReL7NwITzwAHzvewPujaxccomVj+XLrSGSB2PH2vTY\nRYvg8ceLX3UeZvlyePRRc/mGpziHWbECbr8dbr319JhWWiSicQfK1vJjkTuBPwIWqOqxiPtXA52q\nutj7vhI4qao/ing2vSIOh8NxBqOqmU1y6s61iCwGHgDmRRkCj1PnGQD7sPMMfj/qwTwi43A4HI50\nZJlN9DgwFlgvIhtEZDVkO8/A4XA4HI0hk5vI4XA4HKcH9di1tCIislhEtojIdhF5qMG6TBaRl0Xk\nHRF5W0Tu9a6P8zbt2yYi60TknMBvVnq6bxGRhXXUtcnrkfkD+WXU8RwR+ZmIdIvIr0VkTkn1XOnl\neZeIPCUio8ugp4j8WET2i0hX4FpivUTkS17ctovI39dJz8e8fN8kImtE5OzAvdLoGbh3n4icFJFx\ngWul0lNE/tRL07dF5EeB6/noqaoN+wOagB7gImAksBG4rIH6fAGY6X0eC2wFLgP+CnjQu/4Q8EPv\n8+WeziO9OPQAI+qk658D/wGs9b6XUcd/A+72PjcDZ5dNTy+sncBo7/t/An9YBj2BucAsoCtwLYle\nfs//DeAq7/N/AYvroOfNfroAPyyrnt71ycCLwLvAuDLqCdwArAdGet/Pz1vPRvcMEi9KKxJV/UBV\nN3qffwN0Y2slbsVebHj/b/c+3wb8RFX7VXUXlhEVT3PLAxGZBCwF/pmBTQLLpuPZwFxV/THY+JGq\nHi6bntjRrf3AGBFpBsZgkx0arqeqvgZ8HLqcRK85ItIKtKjqG95z/x74TWF6avyi1FLp6fE3wIOh\na2XT84+Bv/Tek6jqh3nr2WhjELUo7YIG6TIIsRlQs7CCPEFV93u39gP+rPqJmM4+9dL/b7GZXMG9\nnsqm41TgQxH5VxH5XxH5J7Gda0ulp6p+BPw1sAczAodUdX3Z9AyQVK/w9b3Uv47djbVMidCnoXqK\nyG1Ar6puDt0qlZ7ANOB6EXldRF4REX/5Ym56NtoYlHL0WkTGAs8A31XVT4L31PpclfQuNE4icgtw\nQFU3ELN1eKN19GgGZgOrVXU28Cm2aeGAEiXQU0TagT/DutgTgbEi8geDlCiBnpGBVter4UjlRakN\nRUTGAKuAR4KXG6RONZqBc1X1aqwh+HSV5xPTaGOwF/PX+UxmsDWrOyIyEjMET6rqs97l/SLyBe9+\nK3DAux7Wf5J3rUi+DNwqIu9iW4DcKCJPlkxHsHzsVdU3ve8/w4zDByXT80rgV6p6UG0q9BrgmhLq\n6ZMkn3u965NC1+uir9ii1KXA8sDlMunZjjUCNnn1aRLwlohMKJmeeGGvAfDq1EkRGZ+nno02BqcW\npYnIKGxR2toqvykMERHgX4Bfq+rfBW6txQYV8f4/G7j+dREZJSJTsa7cGxSIqq5S1cmqOhXbNvwl\nVf1GmXT09PwAeE9E/E0AbgLeAZ4rk57AFuBqETnLy/+bsDUxZdPTJ1E+e/lwRGwmlwDfCPymMGRg\nUeptOnhRamn0VNUuVZ2gqlO9+tQLzPbccKXR0+NZ4EYAr06NUtX/y1XPPEfBU46cL8Fm7fQAKxus\ny3WYH34jsMH7WwyMA/4b26p7HXBO4DerPN23AIvqrO88BmYTlU5H4ArgTWAT1qo5u6R6PogZqi5s\nUHZkGfTEen77gOPY2NpdafQCvuTFrQf4hzroeTewHdgdqEerS6Rnn5+eofs78WYTlU1Pr0w+6YX7\nFjA/bz3dojOHw+FwNNxN5HA4HI4S4IyBw+FwOJwxcDgcDoczBg6Hw+HAGQOHw+Fw4IyBw+FwOHDG\nwOFwDANE5EIRiTwl0ZEPzhg4HI7hwFTgjkYrcTrjFp05HI7SIyKvA5diZw48oaq5HypzpuOMgcPh\nKD0iMg+4X1U7Gq3L6YpzEzkcjuFAWbeWPm1wxsDhcDgczhg4HI5hwRGgpdFKnM44Y+BwOIYD71Uh\nBgAAAFJJREFUm4ETIrJRRL7baGVOR9wAssPhcDhcz8DhcDgczhg4HA6HA2cMHA6Hw4EzBg6Hw+HA\nGQOHw+Fw4IyBw+FwOHDGwOFwOBw4Y+BwOBwO4P8BurthTDuxHTIAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f5c71d2aad0>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from numpy import ones,sin,arange,hstack,nditer,pi\n",
+ "%matplotlib inline\n",
+ "from matplotlib.pyplot import plot,subplot,xlabel,ylabel,title,show\n",
+ "\n",
+ "\n",
+ "#Figure 9.4:Generation of waveforms in DS/BPSK spread spectrum transmitter\n",
+ "t = range(0,13+1)\n",
+ "N = 7#\n",
+ "wt = arange(0,0.01+1,0.01)\n",
+ "bt = hstack([[1*xx for xx in ones(N)],[-1*yy for yy in ones(N)]])\n",
+ "ct = [0,0,1,1,1,0,1,0,0,1,1,1,0,1]\n",
+ "ct_polar = [-1,-1,1,1,1,-1,1,-1,-1,1,1,1,-1,1]\n",
+ "mt = [a*b for a,b in nditer([bt,ct_polar])]\n",
+ "Carrier = [2*sin(wtt*2*pi) for wtt in wt]\n",
+ "\n",
+ "st = []#\n",
+ "for i in range(0,len(mt)):\n",
+ " st = st+[mt[i]*Cr for Cr in Carrier]\n",
+ "\n",
+ "subplot(3,1,1)\n",
+ "plot(t,bt)\n",
+ "xlabel(' t')\n",
+ "title('Data b(t)')\n",
+ "subplot(3,1,2)\n",
+ "plot(t,ct_polar)\n",
+ "xlabel(' t')\n",
+ "title('Spreading code c(t)')\n",
+ "subplot(3,1,3)\n",
+ "plot(t,mt)\n",
+ "xlabel(' t')\n",
+ "title('Product Signal m(t)')\n",
+ "show()\n",
+ "subplot(3,1,1)\n",
+ "plot(t,mt)\n",
+ "xlabel(' t')\n",
+ "title('Product Signal m(t)')\n",
+ "subplot(3,1,2)\n",
+ "plot(Carrier)\n",
+ "xlabel(' t')\n",
+ "title('Carrier Signal')\n",
+ "subplot(3,1,3)\n",
+ "plot(st)\n",
+ "xlabel(' t')\n",
+ "title('DS/BPSK signal s(t)')\n",
+ "show()"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.9"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}