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diff --git a/sample_notebooks/harikagunturu/harikagunturu_version_backup/Chapter_4.ipynb b/sample_notebooks/harikagunturu/harikagunturu_version_backup/Chapter_4.ipynb new file mode 100755 index 00000000..de7d514c --- /dev/null +++ b/sample_notebooks/harikagunturu/harikagunturu_version_backup/Chapter_4.ipynb @@ -0,0 +1,666 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 4 Angle Modulation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exa 4.1.A page.no: 286" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "12000 the new deviation( in Hz)\n" + ] + } + ], + "source": [ + "Freq_dev=6; #Frequency Deviation in kHz\n", + "Vm=3; #Modulating Voltage in V\n", + "Dev=Freq_dev*10**3/Vm; \n", + "# for Vm=6V\n", + "Vm=6;\n", + "Freq_dev_new=Dev*Vm;\n", + "print Freq_dev_new,\"the new deviation( in Hz)\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exa 4.1 page.no: 287" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Instantaneous Frequency(in Hz) at (t=0.4 ms)N = 100290.574948\n", + "Maximum Phase Deviation (in rad) = 3\n", + "MAximum Frequency Deiation (in Hz)= 300.0\n" + ] + } + ], + "source": [ + "from math import pi,cos\n", + "\n", + "t1=0.4;# time in ms\n", + "Ang_Freq =2*pi*10**5 +3*2*pi*100*cos(2*pi*100*(t1*10**(-3)));\n", + "Freq=Ang_Freq/(2*pi);\n", + "#change in answer due to calculation error in book\n", + "print \"Instantaneous Frequency(in Hz) at (t=0.4 ms)N = \",Freq\n", + "Max_pha_Dev=3; #max(3sin(2∗pi∗100t))\n", + "print \"Maximum Phase Deviation (in rad) = \",Max_pha_Dev\n", + "Max_fre_Dev=6*pi*100; #max(6∗pi∗100∗cos(2∗pi∗100t))\n", + "print \"MAximum Frequency Deiation (in Hz)= \",Max_fre_Dev/(2*pi)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exa 4.2.A page.no: 287" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Power Dissipated (in W) is 9.375\n" + ] + } + ], + "source": [ + "from math import pi,sqrt\n", + "\n", + "Wc=8*10**(8);# Angular Frequency of Carrier Signal\n", + "fc=Wc/(2*pi);\n", + "Wm=1300;#Angular Frequency of Message Signal\n", + "fm=Wm/(2*pi);\n", + "B=3;#Modulation Index\n", + "R=12;\n", + "Vc_rms=15/sqrt(2);\n", + "Max_dev=B*fm;\n", + "Power=Vc_rms**(2)/R;\n", + "print \"Power Dissipated (in W) is \",Power" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exa 4.2 page.no: 287" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Peak Frequency Deviation(in Hz) is 12000\n", + "modulation index 8.0\n" + ] + } + ], + "source": [ + "a=3;#amplitude in volts\n", + "Dev_sen=4;# deviation sensitivity in KHz/volts\n", + "fm=1.5;# frequency modulating signal in KHz\n", + "f=Dev_sen*10**(3)*3;#peak frequency deviation\n", + "B=f/(fm*10**3);\n", + "print \"Peak Frequency Deviation(in Hz) is \",f\n", + "print \"modulation index \",B" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exa 4.3.A page.no: 289" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Bandwidth (in Hz) is 72000\n" + ] + } + ], + "source": [ + "fm=3; #Modulating Frequency in kHZ\n", + "Max_Dev=18; #MAximum Deviation in kHz\n", + "B=Max_Dev/fm; # modulation index 7\n", + "J=12;#from Bessel Table , for B=6\n", + "Bw=fm*J*2*10**(3);\n", + "print \"The Bandwidth (in Hz) is \",Bw" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exa 4.3 page.no: 289" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Peak Phase Deviation( in rad) 8.75\n" + ] + } + ], + "source": [ + "Dev_sen=3.5 # Deviation Sensitivity in rad/volt\n", + "a=2.5; #amplitude in volts\n", + "B=a*Dev_sen; # Peak Phase Deviation\n", + "print \"Peak Phase Deviation( in rad) \",B" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exa 4.4.A page.no: 290" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Maximum Frequency Deviation (in Hz) is 18000\n", + "Modulation Index is 5.99985864877\n" + ] + } + ], + "source": [ + "from math import pi\n", + "\n", + "Wm=18850;#Angular Frequency of message signal\n", + "fm=Wm/(2*pi);\n", + "a=3;# amplitude of message signal\n", + "Dev_sen=6;#Deviation Sensitivity in kHz/V\n", + "Max_Freq_Dev=a*Dev_sen*10**(3);\n", + "B=Max_Freq_Dev/(fm);\n", + "print \"Maximum Frequency Deviation (in Hz) is \",Max_Freq_Dev\n", + "print \"Modulation Index is \",B" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exa 4.4 page.no: 291" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Deviation Sensitivity(in kHz/V) 1333\n", + "Modulation Index is 4\n", + "Deviation Sensitivity for 5V (in Hz) 6665\n", + "Modulation index 6\n", + "Deviation Sensitivity for 10V (in Hz) 13330\n", + "Modulation index is 33\n" + ] + } + ], + "source": [ + "a=3; #amplitude in Volts\n", + "Dev=4;# Deviation in kHz\n", + "fm=1;# modulating frequency in kHz\n", + "Dev_sen=Dev*10**(3)/a; #Deviation Sensitivity\n", + "B=Dev/fm; # Modulation Index\n", + "print \"Deviation Sensitivity(in kHz/V) \",Dev_sen\n", + "print \"Modulation Index is \",B\n", + "#a)\n", + "a=5;\n", + "Dev_sen_1=a*Dev_sen;\n", + "B=Dev_sen_1/(fm*10**(3));\n", + "print \"Deviation Sensitivity for 5V (in Hz) \",Dev_sen_1\n", + "print \"Modulation index\",B\n", + "#b)\n", + "a=10;\n", + "fm=400;\n", + "Dev_sen_2=a*Dev_sen;\n", + "B=Dev_sen_2/fm;\n", + "print \"Deviation Sensitivity for 10V (in Hz) \",Dev_sen_2\n", + "print \"Modulation index is \",B" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exa 4.5.A page.no: 291" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "for B=2, The number of significant frequencies are 6\n", + "They are J1,J2,J3,J4,J5 and J6\n", + "Their amplitudes with carriers are \n", + "they are (in V) 1.792 4.616 2.824 1.032 0.272 0.056 0.008\n" + ] + } + ], + "source": [ + "print \"for B=2, The number of significant frequencies are 6\"\n", + "print \"They are J1,J2,J3,J4,J5 and J6\"\n", + "print \"Their amplitudes with carriers are \"\n", + "J0= 0.224*8;\n", + "J1= 0.577*8;\n", + "J2= 0.353*8;\n", + "J3= 0.129*8;\n", + "J4= 0.034*8;\n", + "J5= 0.007*8;\n", + "J6= 0.001*8;\n", + "print\"they are (in V)\",J0,J1,J2,J3,J4,J5,J6" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exa 4.5 page.no: 292" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Bandwidth required (in Hz) 24000\n", + "According to Carsons rule , Bandwidth (in Hz) 36000\n" + ] + } + ], + "source": [ + "fm=3; #Modulating Frequency in kHZ\n", + "Max_dev=15;# Maximum Deviatin in kHZ\n", + "B=Max_dev/fm; \n", + "J=8; # Bessel table , the highest J coefficient\n", + "BW=J*fm*10**(3);#Bandwidth in kHz\n", + "BW1=2*(fm+Max_dev)*10**(3);# According to carson rule , BAndwidth\n", + "print \"Bandwidth required (in Hz) \",BW\n", + "print \"According to Carsons rule , Bandwidth (in Hz) \",BW1" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exa 4.6.A page.no: 292" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Minimum Bandwidth (in Hz) is 72000\n", + "Approximate Minimum Bandwidth is 36000\n" + ] + } + ], + "source": [ + "Max_Freq_Dev=12; #Maximum Frequency Deviation in kHZ\n", + "fm=6; #Modulating frquency in kHz\n", + "B=Max_Freq_Dev/fm;# Modulation index 7\n", + "J=6;#From Bessel Table , for B=2\n", + "Bw=2*J*6*10**(3);\n", + "BW_carson=2*(fm + Max_Freq_Dev)*10**(3);\n", + "print \"Minimum Bandwidth (in Hz) is \",Bw\n", + "print \"Approximate Minimum Bandwidth is \",BW_carson" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exa 4.6.A page.no: 283" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "For B=5 from the Bessel table ,The Bessel Function is taken upto J9\n", + "Hence the average power of the modulated signal (in W) is 9.936\n", + "Hence, the average power of the modulated signal is equal to \n", + "unmodulated carrier power\n" + ] + } + ], + "source": [ + "a=10; #Amplitude in V\n", + "Pt=a*(0.18**2 +2*(0.33**2+0.05**2+0.36**2+0.39**2+0.26**2+0.13**2+0.05**2+0.02**2+0.01**2))\n", + "print \"For B=5 from the Bessel table ,The Bessel Function is taken upto J9\"\n", + "print \"Hence the average power of the modulated signal (in W) is \",Pt\n", + "print \"Hence, the average power of the modulated signal is equal to \"\n", + "print \"unmodulated carrier power\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exa 4.7.A page.no: 294" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Unmodulated Power Carrier ( in W) = 1\n", + "Total Power in modulated wave(in W)= 1.06767573333\n", + "Power in the modulated wave is equal to \n", + "power in the unmodulated wave \n" + ] + } + ], + "source": [ + "a=8;# amplitude in V\n", + "r=30; # resistance in ohms\n", + "Pc_unmodulated=a**2/(2*r);\n", + "Pt=1.792**2/(2*30)+2*(4.616)**2/(2*30)+2*(2.824**2)/(2*30) +2*(1.032) **2/(2*30) +2*(0.272) **2/(2*30) +2*(0.056)**2/(2*30)+2*(0.008)**2/(2*30);\n", + "# change in answer due to approximations in the book\n", + "print \"Unmodulated Power Carrier ( in W) = \",Pc_unmodulated\n", + "print \"Total Power in modulated wave(in W)= \",Pt\n", + "print \"Power in the modulated wave is equal to \"\n", + "print \"power in the unmodulated wave \" \n", + "#\"Small error due to rounded off values in Bessel functions\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exa 4.7 page.no: 295" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "the Phase Modulation Function = 12.0*sin(3000.0*pi*t)\n", + "The Modulated Wave Function = 12.0*sin(3000.0*pi*t) + 8*cos(20000*pi*t)\n" + ] + } + ], + "source": [ + "from sympy import symbols,sin,cos\n", + "\n", + "t,pi=symbols('t,pi') \n", + "Pha_dev=3.; #Phase Deviation constant in rad/V 6\n", + "# Phase Modulation Function\n", + "Pha_function=Pha_dev*4*sin(2.*pi*1.5*10**3*t);\n", + "Mod_wave=8*cos(2*pi*10**4*t)+Pha_function\n", + "print \"the Phase Modulation Function = \",Pha_function\n", + "print \"The Modulated Wave Function = \",Mod_wave" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exa 4.8 page.no: 295" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The outputs of the balanced modulator for these parameters\n", + "are same as the inputs \n", + "They remain unaltered \n", + "At the output of the Multiplier , \n", + "Fc(in kHz)= 9600 , Fm(in kHz)= 10 , B= 6.0\n", + "Frequency Deviation ( in kHz)= 60\n" + ] + } + ], + "source": [ + "initial_Freq_Dev=5; # frequency in kHz\n", + "B_initial=0.5; #modulation index\n", + "fm_initial=10;# message signal frequency in kHz\n", + "fc_initial=800; # carrier frequency in kHz\n", + "print \"The outputs of the balanced modulator for these parameters\"\n", + "print \"are same as the inputs \"\n", + "print \"They remain unaltered \"\n", + "#at the output of the multiplier 14\n", + "m=12;# multiplication factor\n", + "final_Freq_Dev=initial_Freq_Dev*m;\n", + "B_final=0.5*m;\n", + "fm_final=10; #modulating signal remains unaltered\n", + "fc_final=800*m;\n", + "print \"At the output of the Multiplier , \"\n", + "print \"Fc(in kHz)= \",fc_final,\", Fm(in kHz)= \",fm_final,\", B= \",B_final\n", + "print \"Frequency Deviation ( in kHz)= \",final_Freq_Dev" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exa 4.9.A page.no: 296" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "a) MAster Oscillator Centre Frequency(in MHz) = 4.008\n", + "b) Frequency Deviation at the output of modulator(in KHz)= 2.4\n", + "c)Devaition ratio at the output of modulator 0.24\n", + "d)deviation ratio at power amplifier 6.0\n" + ] + } + ], + "source": [ + "ft=100.2; #final carrier frequency in MHz\n", + "Freq_Dev_ft=60.;# Frequency Deviation in KHz at power amplifier\n", + "fm=10.;#modulating frequency in KHz\n", + "m=25.;#multiplication factor\n", + "#a)\n", + "fc=ft/25.;\n", + "#b)\n", + "Freq_Dev=Freq_Dev_ft/25;\n", + "#c)\n", + "B=Freq_Dev/fm;\n", + "#d)\n", + "Bt=B*m;\n", + "print \"a) MAster Oscillator Centre Frequency(in MHz) = \",fc\n", + "print \"b) Frequency Deviation at the output of modulator(in KHz)= \",Freq_Dev\n", + "print \"c)Devaition ratio at the output of modulator \",B\n", + "print \"d)deviation ratio at power amplifier\",Bt" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exa 4.10.A page.no: 297" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "a) Frequency Deviation(in Hz)= 5954.92965855\n", + "b) Devaition Ratio= 5.95492965855\n", + "c) Phase Deviation( in rad)= 8\n", + "d) Bandwidth( in Hz)= 13909.8593171\n" + ] + } + ], + "source": [ + "from math import pi\n", + "\n", + "#f(t)=5cos(Wc∗t+3sin(2000∗t)+5sin(2000∗pi∗t)) 5\n", + "fm=2000*pi/(2*pi); #bandwidth is the highest frequency component\n", + "#a) \n", + "Freq_dev=(6000+10000*pi)/(2*pi); 11\n", + "#b)\n", + "B=Freq_dev/fm; \n", + "#c)\n", + "Phase_dev=8;#Highest value of[3sin(2000t)+5sin(2000∗ pi∗t)]\n", + "#d)\n", + "Bw= 2*(fm+Freq_dev);\n", + "print \"a) Frequency Deviation(in Hz)= \",Freq_dev\n", + "print \"b) Devaition Ratio= \",B\n", + "print \"c) Phase Deviation( in rad)= \",Phase_dev\n", + "print \"d) Bandwidth( in Hz)= \",Bw" + ] + } + ], + "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": "2.7.10" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} |