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diff --git a/Electronic_Communication_Systems/Chapter3.ipynb b/Electronic_Communication_Systems/Chapter3.ipynb new file mode 100755 index 00000000..3e0faa39 --- /dev/null +++ b/Electronic_Communication_Systems/Chapter3.ipynb @@ -0,0 +1,581 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:e528d450b010e6a0fc0701d08e663db71f95558ee29c88e64def041726f96bfa" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 3: Amplitude Modulation Techniques" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.1, page no. 36" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variable Declaration\n", + "L = 50.0*pow(10,-6) # Transmitter Inductance (H)\n", + "C = 1.0*pow(10,-9) # Transmitter Capacitance (F)\n", + "AF_range = 10*pow(10,3) # Audio Frequency Range (Hz)\n", + "\n", + "# Calculation\n", + "import math # Math Library\n", + "fc= 1/(2*math.pi*math.sqrt(L*C))# Center Frequency (Hz)\n", + "fl= fc-AF_range# Frequency of LSB (Hz)\n", + "fu= fc+AF_range# Frequency of USB (Hz)\n", + "\n", + "# Result\n", + "print \"Center Frequency, fc= \",math.ceil(fc/pow(10,3)),\"kHz\"\n", + "print \"Frequency Range occupied by the Sidebands is\",math.ceil(fl/pow(10,3)),\"to\",math.ceil(fu/pow(10,3)),\"kHz\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Center Frequency, fc= 712.0 kHz\n", + "Frequency Range occupied by the Sidebands is 702.0 to 722.0 kHz\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.2, page no. 38" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variable Declaration\n", + "P_c = 400 # Carrier Power (W)\n", + "m = 0.75 # Modulation Index\n", + "\n", + "# Calculation\n", + "import math # Math Library\n", + "P_AM = P_c*(1+pow(m,2)/2) # Total Power in the modulated Wave (W)\n", + "\n", + "# Result\n", + "print \"Total Power in the Modulated Wave is\",P_AM,\"W\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Total Power in the Modulated Wave is 512.5 W\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.3, page no. 39" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variable Declaration\n", + "P_t = 10000 # Radio Transmitter Power (W)\n", + "m = 0.60 # Modulation Index\n", + "\n", + "# Calculation\n", + "import math # Math Library\n", + "P_c = P_t/(1+pow(m,2)/2) # Carrier Power (W)\n", + "\n", + "# Result\n", + "print \"Carrier Power is\",round(P_c/pow(10,3),2),\"kW\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Carrier Power is 8.47 kW\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.4, page no. 39" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variable Declaration\n", + "I_t = 8.93 # Total Antenna current (A) \n", + "I_c = 8 # Carrier Antenna Current (A)\n", + "m = 0.80 # Modulation Index\n", + "\n", + "# Calculation\n", + "import math # Math Library\n", + "m1 = math.sqrt(2*(pow(I_t/I_c,2)-1)) # Percentage Modulation (%)\n", + "I_t1 = I_c*math.sqrt(1+pow(m,2)/2) # Antenna Current (A)\n", + "\n", + "# Result\n", + "print \"Modulation Index calculated for first part is\",round(m1*100,1),\"%\"\n", + "print \"Antenna Current calculated for second part is\",round(I_t1,2),\"A\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Modulation Index calculated for first part is 70.1 %\n", + "Antenna Current calculated for second part is 9.19 A\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.5, page no. 41\u00b6" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variable Declaration\n", + "P_t = 10.125*pow(10,3) # Total Power(W)\n", + "P_c = 9.00*pow(10,3) # Carrier Power(W)\n", + "m2 = 0.40 # Modulation Index\n", + "\n", + "# Calculation\n", + "import math # Math Library\n", + "m1 = math.sqrt(2*(P_t/P_c-1)) # Modulation Index\n", + "mt = math.sqrt(pow(m1,2)+pow(m2,2)) # Total Modulation index\n", + "P_AM = P_c*(1+pow(mt,2)/2) # Total Radiated Power(W)\n", + "\n", + "# Result\n", + "print \"Modulation Index of first part is, m =\",m1\n", + "print \"Total Modulation Index is, m_t =\",round(mt,2)\n", + "print \"Total Radiated Power, P_AM =\",P_AM/pow(10,3),\"kW\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Modulation Index of first part is, m = 0.5\n", + "Total Modulation Index is, m_t = 0.64\n", + "Total Radiated Power, P_AM = 10.845 kW\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.6, page no. 41" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variable Declaration\n", + "I_t = 11 # Total Antenna current (A) \n", + "I_T = 12 # Total Antenna current for second part (A) \n", + "m1 = 0.40 # Modulation Index\n", + "\n", + "# Calculation\n", + "import math # Math Library\n", + "I_c = I_t/math.sqrt(1+pow(m1,2)/2) # Current (A)\n", + "mt = math.sqrt(2*(pow(I_T/I_c,2)-1)) # Modulation Index\n", + "m2 = math.sqrt(pow(mt,2)-pow(m1,2)) # Modulation Index\n", + "\n", + "# Result\n", + "print \"Modulation Index calculated is\",round(m2,2)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Modulation Index calculated is 0.64\n" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.7, page no. 44" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variable Declaration\n", + "P_c = 400 # Carrier Power (W)\n", + "m1 = 1.0 # Modulation Index (for first part)\n", + "m2 = 0.75 # Modulation Index (for second part)\n", + "\n", + "# Calculation\n", + "import math # Math Library\n", + "# (i) Power saving of DSBSC compared to AM for 100% Modulation Depth\n", + "P_AM1=P_c*(1+pow(m1,2)/2) # Power of AM Wave (W)\n", + "P_DSBSC1=P_c*pow(m1,2)/2 # Power of DSBSC Wave (W)\n", + "Saving1=P_AM1-P_DSBSC1 # Power Saving (W)\n", + "# (ii) Power Required for DSBSC Wave Transmission for 75% Modulation Depth\n", + "P_DSBSC2=P_c*pow(m2,2)/2 # Power of DSBSC Wave (W)\n", + "\n", + "# Result\n", + "print \"(i) Power of AM Wave for\",m1*100,\"% Modulation Depth is\",P_AM1,\"W\"\n", + "print \" Power of DSBSC Wave for\",m1*100,\"% Modulation Depth is\",P_DSBSC1,\"W\"\n", + "print \" Power saving of DSBSC compared to AM for\",m1*100,\"% Modulation Depth is\",Saving1,\"W\"\n", + "print \"(ii) Power Required for DSBSC Wave Transmission for\",m2*100,\"% Modulation Depth is\",P_DSBSC2,\"W\"\n", + "print \" Power of DSBSC is maximum for m = 1, and less for m < 1.\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "(i) Power of AM Wave for 100.0 % Modulation Depth is 600.0 W\n", + " Power of DSBSC Wave for 100.0 % Modulation Depth is 200.0 W\n", + " Power saving of DSBSC compared to AM for 100.0 % Modulation Depth is 400.0 W\n", + "(ii) Power Required for DSBSC Wave Transmission for 75.0 % Modulation Depth is 112.5 W\n", + " Power of DSBSC is maximum for m = 1, and less for m < 1.\n" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.8, page no. 45" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variable Declaration\n", + "P_DSBSC = 1000 # Total Power (W)\n", + "m = 0.60 # Modulation Index\n", + "\n", + "# Calculation\n", + "import math # Math Library\n", + "P_c = P_DSBSC*(2/pow(m,2)) # Carrier Power (W)\n", + "\n", + "# Result\n", + "print \"We require\",round(P_c/pow(10,3),2),\"kW to transmit the carrier component along with the existing\",P_DSBSC/pow(10,3),\" kW for the sidebands.\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "We require 5.56 kW to transmit the carrier component along with the existing 1 kW for the sidebands.\n" + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.9, page no.48" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variable Declaration\n", + "P_c = 400 # Carrier Power (W)\n", + "m1 = 1.0 # Modulation Index (for first part)\n", + "m2 = 0.75 # Modulation Index (for second part)\n", + "\n", + "# Calculation\n", + "import math # Math Library\n", + "# (i) Power saving of SSB compared to AM AND DSBSC for 100% Modulation Depth\n", + "P_AM1 = P_c*(1+pow(m1,2)/2) # Power of AM Wave (w)\n", + "P_DSBSC1 = P_c*pow(m1,2)/2 # Power of DSBSC Wave (w)\n", + "P_SSB1 = P_c*pow(m1,2)/4 # Power of SSB Wave (w)\n", + "Saving1 = P_AM1-P_SSB1 # Power Saving (w)\n", + "Saving2 = P_DSBSC1-P_SSB1 # Power Saving (w)\n", + "# (ii) Power Required for SSB Wave Transmission for 75% Modulation Depth\n", + "P_SSB2 = P_c*pow(m2,2)/4 # Power of SSB Wave (w)\n", + "\n", + "# Result\n", + "\n", + "print \"(i) Power of SSB Wave for\",m1*100,\"% Modulation Depth is\",P_SSB1,\"W\"\n", + "print \" Power saving of SSB compared to AM for\",m1*100,\"% Modulation Depth is\",Saving1,\"W and compared to DSBSC for\",m1*100,\"% Modulation Depth is\",Saving2,\"W\"\n", + "print \"(ii) Power Required for SSB Wave Transmission for\",m2*100,\"% Modulation Depth is\",P_SSB2,\"W\"\n", + "print \" Power of SSB is maximum for m = 1, and less for m < 1.\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "(i) Power of SSB Wave for 100.0 % Modulation Depth is 100.0 W\n", + " Power saving of SSB compared to AM for 100.0 % Modulation Depth is 500.0 W and compared to DSBSC for 100.0 % Modulation Depth is 100.0 W\n", + "(ii) Power Required for SSB Wave Transmission for 75.0 % Modulation Depth is 56.25 W\n", + " Power of SSB is maximum for m = 1, and less for m < 1.\n" + ] + } + ], + "prompt_number": 9 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.10, page no. 49\u00b6" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variable Declaration\n", + "P_SSB = 0.5*pow(10,3) # Total Power (W)\n", + "m = 0.60 # Modulation Index\n", + "\n", + "# Calculation\n", + "import math # Math Library\n", + "P_c = P_SSB*(4/pow(m,2)) # Carrier Power (W)\n", + "\n", + "# Result\n", + "print \"We require\",round(P_c/pow(10,3),2),\"kW to transmit the carrier component along with the existing\",P_SSB/pow(10,3),\"kW for the one sideband and\",1-P_SSB/pow(10,3),\"kW more for another sideband.\"\n", + "print \"In Total\",round(P_c/pow(10,3)+1,2),\"kW is required by the AM Transmitter\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "We require 5.56 kW to transmit the carrier component along with the existing 0.5 kW for the one sideband and 0.5 kW more for another sideband.\n", + "In Total 6.56 kW is required by the AM Transmitter\n" + ] + } + ], + "prompt_number": 10 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.11, page no. 49" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variable Declaration\n", + "m1 = 1.0 # Modulation Index for (a)\n", + "m2 = 0.5 # Modulation Index for (b)\n", + "\n", + "# Calculation\n", + "import math # Math Library\n", + "# (a) Percentage Power Saving for Depth of Modulation 100 %\n", + "PAM_by_Pc1 = 1+pow(m1,2)/2 # Ratio of AM Wave to Carrier Power (W)\n", + "PSSB_By_Pc1 = pow(m1,2)/4 # Ratio of SSB Wave to Carrier Power (W)\n", + "Saving1 = (PAM_by_Pc1-PSSB_By_Pc1)/PAM_by_Pc1 # Power Saving (W)\n", + "# (b) Percentage Power Saving for Depth of Modulation 50 %\n", + "PAM_by_Pc2 = 1+pow(m2,2)/2 # Ratio of AM Wave to Carrier Power (W)\n", + "PSSB_By_Pc2 = pow(m2,2)/4 # Ratio of SSB Wave to Carrier Power (W)\n", + "Saving2 = (PAM_by_Pc2-PSSB_By_Pc2)/PAM_by_Pc2 # Power Saving (W)\n", + "\n", + "# Result\n", + "print \"(a)Percentage Power Saving for Depth of Modulation of\",m1,\"is\",round(Saving1*100,1),\"%\"\n", + "print \"(b)Percentage Power Saving for Depth of Modulation of\",m2,\"is\",round(Saving2*100,1),\"%\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "(a)Percentage Power Saving for Depth of Modulation of 1.0 is 83.3 %\n", + "(b)Percentage Power Saving for Depth of Modulation of 0.5 is 94.4 %\n" + ] + } + ], + "prompt_number": 11 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.12, page no. 52" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variable Declaration\n", + "P_c = 400 # Carrier Power (W)\n", + "m1 = 1.0 # Modulation Index (for first part)\n", + "m2 = 0.75 # Modulation Index (for second part)\n", + "x = 0.2 # (*100)Percentage Wanted Sideband in VSB (%)\n", + "\n", + "# Calculation\n", + "import math # Math Library\n", + "# (i) Power saving of VSB compared to AM, DSBSC and SSB for 100% Modulation Depth\n", + "P_AM1 = P_c*(1+pow(m1,2)/2) # Power of AM Wave (W)\n", + "P_DSBSC1 = P_c*pow(m1,2)/2 # Power of DSBSC Wave (W) \n", + "P_SSB1 = P_c*pow(m1,2)/4 # Power of SSB Wave (W)\n", + "P_VSB1 = P_c*pow(m1,2)/4+x*P_c*pow(m1,2)/4 # Power of VSB Wave (W)\n", + "Saving1 = P_AM1-P_VSB1 # Power Saving (W)\n", + "Saving2 = P_DSBSC1-P_VSB1 # Power Saving (W)\n", + "Saving3 = P_VSB1-P_SSB1 # Power Saving (W)\n", + "# (ii) Power Required for VSB Wave Transmission for 75% Modulation Depth\n", + "P_VSB2 = P_c*pow(m2,2)/4+x*P_c*pow(m2,2)/4 # Power of VSB Wave (W)\n", + "\n", + "# Result\n", + "print \"(i) Power Required for VSB Wave Transmission for\",m1*100,\"% Modulation Depth is\",P_VSB1,\"W\"\n", + "print \" Power saving of VSB compared to AM for\",m1*100,\"% Modulation Depth is\",Saving1,\"W and compared to DSBSC for\",m1*100,\"% Modulation Depth is\",Saving2,\"W and compared to SSB for\",m1*100,\"% Modulation Depth is\",Saving3,\"W\"\n", + "print \"(ii) Power Required for VSB Wave Transmission for\",m2*100,\"% Modulation Depth is\",P_VSB2,\"W\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "(i) Power Required for VSB Wave Transmission for 100.0 % Modulation Depth is 120.0 W\n", + " Power saving of VSB compared to AM for 100.0 % Modulation Depth is 480.0 W and compared to DSBSC for 100.0 % Modulation Depth is 80.0 W and compared to SSB for 100.0 % Modulation Depth is 20.0 W\n", + "(ii) Power Required for VSB Wave Transmission for 75.0 % Modulation Depth is 67.5 W\n" + ] + } + ], + "prompt_number": 12 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.13, page no. 52" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variable Declaration\n", + "P_VSB = 0.625*pow(10,3) # Total Power (W)\n", + "m = 0.60 # Modulation Index\n", + "x = 0.25 # (*100) Percentage Power Transmitted of other Sideband (%)\n", + "\n", + "# Calculation\n", + "import math # Math Library\n", + "P_c = P_VSB*(4/((1+x)*pow(m,2))) # Carrier Power (W)\n", + "\n", + "# Result\n", + "print \"We require\",round(P_c/pow(10,3),2),\"kW to transmit the carrier component along with the existing\",P_VSB/pow(10,3),\"kW for the one sideband and\",1-P_VSB/pow(10,3),\"kW more for rest of the other sidebands.\"\n", + "print \"In Total\",round(P_c/pow(10,3)+1,2),\"kW is required by AM Transmitter\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "We require 5.56 kW to transmit the carrier component along with the existing 0.625 kW for the one sideband and 0.375 kW more for rest of the other sidebands.\n", + "In Total 6.56 kW is required by AM Transmitter\n" + ] + } + ], + "prompt_number": 13 + } + ], + "metadata": {} + } + ] +}
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