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+{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:b47d42851a95b239c1a54b9b998eec602c81d678d0f92705fab117d580600a10"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 18: Information Theory, Coding And Data Communication"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 18.1, page no. 591"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "# Variable Declaration\n",
+ "SNR_dB = 32.00 # Signal to Noise ratio (dB)\n",
+ "f1 = 300.00 # Lower Limit of Voice Frequency (Hz)\n",
+ "f2 = 3400.0 # Upper Limit of Voice Frequency (Hz)\n",
+ "\n",
+ "# Calculation\n",
+ "import math # Math Library\n",
+ "SNR = pow(10,SNR_dB/10) # Signal to Noise Ratio\n",
+ "C = (f2-f1)*math.log(1+SNR,2) # Capacity of Telephone Channel (bps)\n",
+ "\n",
+ "# Result\n",
+ "print \"The capacity of a standard 4 kHz telephone channel with 32 dB SNR is C =\",round(C,1),\"bits per second.\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The capacity of a standard 4 kHz telephone channel with 32 dB SNR is C = 32956.3 bits per second.\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 18.2, page no. 591"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "# Variable Declaration\n",
+ "SNR_dB = 28.00 \t # Signal to Noise ratio (dB)\n",
+ "BW1 = 4.00*pow(10,3) # System Bandwidth 1 (Hz)\n",
+ "BW2 = 8.00*pow(10,3) # System Bandwidth 2 (Hz)\n",
+ "\n",
+ "# Calculation\n",
+ "import math # Math Library\n",
+ "SNR1 = pow(10,SNR_dB/10) # Signal to Noise Ratio 1\n",
+ "C1 = BW1*math.log(1+SNR1,2) # Information Carrying Capacity (bps)\n",
+ "SNR2 = pow(10,SNR_dB/10)/2 # Signal to Noise Ratio 2\n",
+ "C2 = BW2*math.log(1+SNR2,2) # Information Carrying Capacity (bps)\n",
+ "\n",
+ "# Result\n",
+ "print \"(a) The information carrying capacity of a standard 4 kHz telephone channel with 28 dB SNR is C1 =\",round(C1),\"bits per second.\"\n",
+ "print \"(b) The information carrying capacity of a standard 8 kHz telephone channel with same signal power as in (a) is C2 =\",round(C2),\"bits per second.\"\n",
+ "print \" Also the ratio of the two quantities, C2/C1 =\",round(C2/C1,3)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a) The information carrying capacity of a standard 4 kHz telephone channel with 28 dB SNR is C1 = 37215.0 bits per second.\n",
+ "(b) The information carrying capacity of a standard 8 kHz telephone channel with same signal power as in (a) is C2 = 66448.0 bits per second.\n",
+ " Also the ratio of the two quantities, C2/C1 = 1.786\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file