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| author | hardythe1 | 2015-05-05 14:21:39 +0530 |
|---|---|---|
| committer | hardythe1 | 2015-05-05 14:21:39 +0530 |
| commit | 435840cef00c596d9e608f9eb2d96f522ea8505a (patch) | |
| tree | 4c783890c984c67022977ca98432e5e4bab30678 /sample_notebooks/ChaitanyaPotti/Chapter2.ipynb | |
| parent | aa1863f344766ca7f7c20a395e58d0fb23c52130 (diff) | |
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diff --git a/sample_notebooks/ChaitanyaPotti/Chapter2.ipynb b/sample_notebooks/ChaitanyaPotti/Chapter2.ipynb new file mode 100755 index 00000000..2cf4427b --- /dev/null +++ b/sample_notebooks/ChaitanyaPotti/Chapter2.ipynb @@ -0,0 +1,286 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:b659456964884efc24c6f36b543fc4c77e2e36dfdbc033ad2f4c3e2f2bce479c"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 2 - Amplitude Modulation"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 1 - pg 51"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calcualate the carrier frequency\n",
+ "#given\n",
+ "import math\n",
+ "L = 50*10**-6#in henry\n",
+ "C = 1*10**-9#in farads\n",
+ "#calculation\n",
+ "F_c = 1/(2.*math.pi*math.sqrt(L*C))/1000.;\n",
+ "#results\n",
+ "print '%s %d %s' %(\"Carrier frequency F_c =\",math.ceil(F_c),\" kHz\")\n",
+ "print(\"Now , it is given that the highest modulation frequency is 8KHz \");\n",
+ "print(\"Therefore, the frequency range occupied by the sidebands will range from 8KHz \\nabove to 8KHz below the carrier frequency, extending fom 712KHz to 720KHz.\");\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Carrier frequency F_c = 712 kHz\n",
+ "Now , it is given that the highest modulation frequency is 8KHz \n",
+ "Therefore, the frequency range occupied by the sidebands will range from 8KHz \n",
+ "above to 8KHz below the carrier frequency, extending fom 712KHz to 720KHz.\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2 - pg 51"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the modulation index, upper and lower sideband frequency, bandwidth of modulation signal\n",
+ "\n",
+ "\n",
+ "#given\n",
+ "#v_m = 10*sin(2*%pi*10^3*t)\n",
+ "#by comparing with v_m = V_m*sin(2*%pi*f_c*t) we get\n",
+ "V_m = 10.#in volts\n",
+ "f_m = 1*10**3#in hertz\n",
+ "V_c = 20.#in volts\n",
+ "f_c = 1*10**4#in hertz\n",
+ "\n",
+ "#calculations\n",
+ "m_a = V_m/V_c;#modulation index formula\n",
+ "m_a1 = m_a*100;#percentage modulation index\n",
+ "f_usb = f_c + f_m;#Upper sideband\n",
+ "f_lsb = f_c - f_m;#lower sideband\n",
+ "A = (m_a*V_c)/2#amplitude of upper as well as lower sideband\n",
+ "B = 2*f_m;#bandwidth of the modulation signal\n",
+ "\n",
+ "#results\n",
+ "print '%s %.2f' %(\"i.a.Modulation index= \",m_a);\n",
+ "print '%s %d %s' %(\" b.Percentage modulation index=\",m_a1,\" percent\");\n",
+ "print '%s %.f %s' %(\"ii.a.Upper sidebandfrequency=\",f_usb,\"Hz\");\n",
+ "print '%s %.f %s' %(\" b.Lower sideband frequency=\",f_lsb,\"Hz \"); \n",
+ "print '%s %.f %s' %(\"iii.Amplitude of Upper sideband and Lower sideband =\",A,\"V\");\n",
+ "print '%s %.f %s' %(\"\\iv.Bandwidth of the modulation signal=\",B,\"Hz\");\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "i.a.Modulation index= 0.50\n",
+ " b.Percentage modulation index= 50 percent\n",
+ "ii.a.Upper sidebandfrequency= 11000 Hz\n",
+ " b.Lower sideband frequency= 9000 Hz \n",
+ "iii.Amplitude of Upper sideband and Lower sideband = 5 V\n",
+ "\\iv.Bandwidth of the modulation signal= 2000 Hz\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 3 - pg 54"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the total power in the amplitude modulated wave\n",
+ "\n",
+ "\n",
+ "#given\n",
+ "m_a = .75;#modulation index\n",
+ "P_c = 400.;#carrier power in watts\n",
+ "\n",
+ "#calculation\n",
+ "P_t = P_c*(1+(m_a**2/2));#total power \n",
+ "\n",
+ "#results\n",
+ "print \"Total power in the amplitude modulated wave (in W) = \",P_t;\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Total power in the amplitude modulated wave (in W) = 512.5\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 4 - pg 54"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the carrier power\n",
+ "#given\n",
+ "P_t = 10*10**3;#total power in watts\n",
+ "m_a = .6;#modulation index\n",
+ "#calculation\n",
+ "P_c = (P_t/(1+(m_a**2/2)));# carrier power\n",
+ "#results\n",
+ "print \"Carrier power (in kW) = \",round(P_c/1000.,2)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Carrier power (in kW) = 8.47\n"
+ ]
+ }
+ ],
+ "prompt_number": 8
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 5 - pg 55"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the modulation index and antenna current\n",
+ "\n",
+ "import math\n",
+ "#given\n",
+ "I_t = 8.93;#total modulated current in ampers\n",
+ "I_c= 8;#carrier or unmodulated current in ampers\n",
+ "#calculation\n",
+ "m_a = math.sqrt(2*((I_t/I_c)**2 -1));#formula for modulation index\n",
+ "M_a=m_a*100;#percentage modulation\n",
+ "#for \n",
+ "m_a1 = .8;#given modulation index\n",
+ "\n",
+ "#calculation\n",
+ "I_t1 = I_c*math.sqrt(1+(m_a1**2/2));#new antenna current \n",
+ "\n",
+ "#results\n",
+ "print \"i.a. Modulation index = \",round(m_a,3)\n",
+ "print \"b.Percentage modulation index (percent) = \",round(M_a,1)\n",
+ "print \"ii. Antenna current (in A) = \",round(I_t1,2)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "i.a. Modulation index = 0.701\n",
+ "b.Percentage modulation index (percent) = 70.1\n",
+ "ii. Antenna current (in A) = 9.19\n"
+ ]
+ }
+ ],
+ "prompt_number": 10
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6 - pg 56"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the carrier signal current, modulation indexes\n",
+ "import math\n",
+ "#given\n",
+ "I_t1 = 10#antenna current in amps\n",
+ "m1 = .3#modulation index\n",
+ "I_t2 = 11#increased antenna current\n",
+ "\n",
+ "#calculation\n",
+ "I_c = (I_t1/(1+(m1**2/2))**.5);#formula for carrier signal current\n",
+ "m_t = math.sqrt(2*((I_t2/I_c)**2 -1));#formula for modulation index\n",
+ "m2 = math.sqrt(m_t**2 - m1**2);\n",
+ "m3 = m2*100;#percentage modulation index\n",
+ "\n",
+ "#results\n",
+ "print \"i.Carrier signal current (in A) = \",round(I_c,2)\n",
+ "print \"ii.Modulation index of signal = \",round(m_t,2)\n",
+ "print \"iii.a.Modulation index of second signal = \",round(m2,2)\n",
+ "print \"b.Percentage modulation index of second signal (percent) = \",round(m3,0)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "i.Carrier signal current (in A) = 9.78\n",
+ "ii.Modulation index of signal = 0.73\n",
+ "iii.a.Modulation index of second signal = 0.66\n",
+ "b.Percentage modulation index of second signal (percent) = 66.0\n"
+ ]
+ }
+ ],
+ "prompt_number": 11
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
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