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-{
- "metadata": {
- "name": ""
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
- {
- "cells": [
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "<h1>Chapter 2: SAMPLING THEORY AND PULSE MODULATION<h1>"
- ]
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 2.1, page no 50"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "#find Nquist Rate\n",
- "\n",
- "#Variable declaration\n",
- "#given \n",
- "pi=3.14\n",
- "w1=50*pi\n",
- "w2=300*pi\n",
- "w3=100*pi\n",
- "#w=2*%pi*f\n",
- "\n",
- "#Calculation\n",
- "f1=w1/(2*pi)\n",
- "f2=w2/(2*pi)\n",
- "f3=w3/(2*pi)\n",
- "fm=f2 #fm = maximum frquency is present at the signal\n",
- "\n",
- "#Result\n",
- "print('maximum frquency of the signal is = %.2f Hz' %f2)\n",
- "fs=2*fm #Nyquist rate\n",
- "print('Nquist Rate of Signal is = %.2f Hz' %fs)\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "maximum frquency of the signal is = 150.00 Hz\n",
- "Nquist Rate of Signal is = 300.00 Hz\n"
- ]
- }
- ],
- "prompt_number": 1
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 2.2 , page no 50"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math\n",
- "#Find Nquist Rate and Nquist time interval\n",
- "\n",
- "#Variable declaration\n",
- "#given\n",
- "w1=5000*math.pi\n",
- "w2=3000*math.pi;\n",
- "f1=w1/(2*math.pi);\n",
- "f2=w2/(2*math.pi);\n",
- "\n",
- "#Calculation\n",
- "fm=f1 #fm = maximum frquency is present at the signal\n",
- "fs=2*fm #Nyquist rate\n",
- "Ts=1.0/(2.0*fm) #frequncy =1/time\n",
- "Ts=Ts*(10**3)\n",
- "\n",
- "#Result\n",
- "print('maximum frquency of the signal is = %.f Hz' %f1)\n",
- "print('Nquist Rate of the given Signal is = %.f Hz' %fs)\n",
- "print('Nquist Interval of the given signal is = %.1f m Sec' %Ts)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "maximum frquency of the signal is = 2500 Hz\n",
- "Nquist Rate of the given Signal is = 5000 Hz\n",
- "Nquist Interval of the given signal is = 0.2 m Sec\n"
- ]
- }
- ],
- "prompt_number": 2
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 2.3, page no 51"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "#Find Nquist Rate \n",
- "\n",
- "#Variable declaration\n",
- "#given\n",
- "f=100.0 # Frequency component of continuous-time signal\n",
- "\n",
- "#Calculation\n",
- "fs=2*f #Nyquist rate\n",
- "\n",
- "#Result\n",
- "print('i) To avoid aliasing Nquist Rate is = %.f Hz' %fs)\n",
- "print('ii) It is theoretical example ')\n",
- "print('iii) It is theoretical example ')\n",
- "print('iv) It is theoretical example ')\n",
- "\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "i) To avoid aliasing Nquist Rate is = 200 Hz\n",
- "ii) It is theoretical example \n",
- "iii) It is theoretical example \n",
- "iv) It is theoretical example \n"
- ]
- }
- ],
- "prompt_number": 3
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 2.4, page no 52 "
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math\n",
- "#Find Nquist Rate of Continous signal\n",
- "\n",
- "#Variable declaration\n",
- "#given\n",
- "w1=50*math.pi\n",
- "w2=300*math.pi\n",
- "w3=100*math.pi\n",
- "\n",
- "#Calculation\n",
- "f1=w1/(2*math.pi)\n",
- "f2=w2/(2*math.pi)\n",
- "f3=w3/(2*math.pi)\n",
- "fmax=f2 #fmax = Highest frquency component of the message signal\n",
- "fs=2*fmax #Nyquist rate\n",
- "\n",
- "#Result\n",
- "print('Highest frquency component of the message signal will be fmax = %.f Hz' %fmax)\n",
- "print('Nquist Rate of the given Signal is = %.f Hz' %fs)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Highest frquency component of the message signal will be fmax = 150 Hz\n",
- "Nquist Rate of the given Signal is = 300 Hz\n"
- ]
- }
- ],
- "prompt_number": 4
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "<h3>Example 2.7, page no 67 <h3>"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "#find amplitude distortion at highest frquency\n",
- "\n",
- "#Variable declaration\n",
- "#given\n",
- "fs=9.5 #samplig frequncy\n",
- "fmax=1 #maximum frequncy\n",
- "t=0.2 #pulse width\n",
- "\n",
- "#Calculation\n",
- "c=3*10**8\n",
- "f=fmax\n",
- "H1=t*(0.9933) #aperture effect at highest frequency, sinc(f*t)=0.9933 (given)\n",
- "H1=H1*100\n",
- "\n",
- "#Result\n",
- "print('|H(1)|=%.2f' %H1)\n",
- "print('Approximation error')"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "|H(1)|=19.87\n",
- "Approximation error\n"
- ]
- }
- ],
- "prompt_number": 5
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 2.8, page no 74 "
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "#Calculate Transmission Bandwidth\n",
- "\n",
- "#Variable declaration\n",
- "#given\n",
- "fm=3.0*(10^3)\n",
- "fs=8.0*(10^3) # sampling frequncy\n",
- "\n",
- "#Calculation\n",
- "Ts=1.0/fs\n",
- "t=0.1*Ts\n",
- "BW=1.0/(2*t) #Bandwidth\n",
- "BW=BW/(10^3)\n",
- "\n",
- "#Result\n",
- "print('Transmission Bandwidth of PAM signal is kHz = %.f Khz ' %BW)\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Transmission Bandwidth of PAM signal is kHz = 40 Khz \n"
- ]
- }
- ],
- "prompt_number": 6
- }
- ],
- "metadata": {}
- }
- ]
-} \ No newline at end of file