diff options
Diffstat (limited to 'Digital_Communications_by_S._Haykin/Chapter3.ipynb')
-rw-r--r--[-rwxr-xr-x] | Digital_Communications_by_S._Haykin/Chapter3.ipynb | 81 |
1 files changed, 68 insertions, 13 deletions
diff --git a/Digital_Communications_by_S._Haykin/Chapter3.ipynb b/Digital_Communications_by_S._Haykin/Chapter3.ipynb index cb451838..3763a6e7 100755..100644 --- a/Digital_Communications_by_S._Haykin/Chapter3.ipynb +++ b/Digital_Communications_by_S._Haykin/Chapter3.ipynb @@ -16,7 +16,7 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": 1, "metadata": { "collapsed": false }, @@ -25,7 +25,7 @@ "data": { "image/png": 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SZmYpSpqTGJVOly9dAeyU398JWBMRDUt8u5Mws7Gq3zqJlKzAy4FXSVoOLAM+2qxRdxJm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\nOO4C4GayK5VCed8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"text/plain": [ - "<matplotlib.figure.Figure at 0x7f3eb2943610>" + "<matplotlib.figure.Figure at 0x7ff404cc5710>" ] }, "metadata": {}, @@ -35,7 +35,7 @@ "data": { "image/png": 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"text/plain": [ - "<matplotlib.figure.Figure at 0x7f3eb26e6d10>" + "<matplotlib.figure.Figure at 0x7ff3eae3fad0>" ] }, "metadata": {}, @@ -112,7 +112,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "metadata": { "collapsed": false }, @@ -121,7 +121,7 @@ "data": { "image/png": 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"text/plain": [ - "<matplotlib.figure.Figure at 0x7fa3f2804950>" + "<matplotlib.figure.Figure at 0x7ff3eb2efa90>" ] }, "metadata": {}, @@ -146,9 +146,9 @@ }, { "data": { - "image/png": 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hw4YoWbIk7rvvPuzbty9LXz755JObfRk4cCASExPRuXNnFC9eHB06dMC5c+d0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\nYu4Hg8Oe35fgT0ujDXd5RikG+nvgAWDMGEY3TUw0b1gKvYmNZWTJHTv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ipptuQmZmpld7f/zxB5o2bYrSpUvjuuuuw5YtW7z68umnn17sS+/evZGRkYGu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\n3rvskd1kdnd2ZjaZ1/PkSWb2m/l+57szn/nO57RD1QOTigS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"text/plain": [ - "<matplotlib.figure.Figure at 0x7fa40942a910>" + "<matplotlib.figure.Figure at 0x7ff3eb014210>" ] }, "metadata": {}, @@ -228,7 +228,7 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 3, "metadata": { "collapsed": false }, @@ -237,7 +237,7 @@ "data": { "image/png": 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gzXWjJOm0g4iMBRrE2XRr9BtVVRFJdJoPU9UlIlIXGCsic1U17vo6twqxxOPw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\nxcOtpG3PPedOtF4irrvORlHXXpta+40bTTesWmX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"text/plain": [ - "<matplotlib.figure.Figure at 0x7f527e136a50>" + "<matplotlib.figure.Figure at 0x7ff3eaa3f9d0>" ] }, "metadata": {}, @@ -279,16 +279,16 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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AJeEm/Pdf6NkTPvggakkcx/zzNWvCNdfYhGzVqlFL5CRCutMlNAG6q2qL4H0X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\nfI6IZENe3caq+m7w/2DMNZ4nUSr7TYuyRKQCtih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21j77bNiSlM6VV1rpvrvuCluS8sWwYZYnPdfZNFevNjPhgw9a+Od111koaLUQ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\n8PPPpvCdik0h89k7RcLPP8NRR8F//+u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"text/plain": [ - "<matplotlib.figure.Figure at 0x7f527df99e50>" + "<matplotlib.figure.Figure at 0x7ff3ea9d83d0>" ] }, "metadata": {}, @@ -324,7 +324,7 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 5, "metadata": { "collapsed": false }, @@ -351,6 +351,61 @@ "if(sigma_X > sigma_E):\n", " print 'The predictor-error variance is less than the variance of the predictor input'\n" ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example3.29 page 137" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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jvvvuw4EDB3L05eOPP77el/79+yMlJQWdO3dGyZIl0bFjR2RkZGiOxX//RePo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\nd3FxcalluILfxcXFpZbx/3rGsx341WU1AAAAAElFTkSuQmCC\n", + "text/plain": [ + "<matplotlib.figure.Figure at 0x7ff3eadbb110>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from numpy import arange,sin,pi,random,zeros\n", + "%matplotlib inline\n", + "from matplotlib.pyplot import plot,subplot,title,show\n", + "\n", + "\n", + "#Implementation of LMS ADAPTIVE FILTER\n", + "#For noise cancellation application\n", + "\n", + "order = 18;\n", + "t = arange(0,0.01+1,.01)\n", + "x = sin(2*pi*5*t);\n", + "noise =random.random(len(x));\n", + "x_n = x+noise;\n", + "ref_noise = noise*random.random();\n", + "w = zeros(order)\n", + "mu = 0.01*(sum(x**22)/len(x))\n", + "N = len(x);\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()" + ] } ], "metadata": { |