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+{
+ "metadata": {
+ "name": ""
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "<h1> Chpater 9: ERROR CONTROL CODING<h1>"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Find detected errors,corrected errors\n",
+ "\n",
+ "#initialisation of variables\n",
+ "dmin=5.0\n",
+ "#(s+1)<= dmin number errors can be detected(s)\n",
+ " \n",
+ "#CALCULATIONS\n",
+ "s=dmin-1\n",
+ "\n",
+ "#RESULTS\n",
+ "print(' i)Number of detected errors s <= %.f ' %s)\n",
+ "#(2t+1)<=dmin number errors can be corrected(t)\n",
+ "t=(dmin-1)/2.0\n",
+ "print('ii) Number of corrected errors t<= %.f ' %t)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " i)Number of detected errors s <= 4 \n",
+ "ii) Number of corrected errors t<= 2 \n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 9.17, Page No 569"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Determine all possible code vectors \n",
+ "\n",
+ "m3=1\n",
+ "m2=0\n",
+ "m1=1\n",
+ "m0=0\n",
+ "#M=Message Matrix\n",
+ "#G=Generator Matrix\n",
+ "G=[[1, 0, 1, 1, 0, 0, 0],[0, 1, 0, 1, 1, 0, 0],[0, 0, 1, 0, 1, 1, 0],[0, 0, 0, 1, 0, 1, 1]]\n",
+ "M=[[m3,m2,m1,m0]]\n",
+ "X = [[0, 0, 0, 0, 0, 0, 0],[0, 0, 0, 0, 0, 0, 0],[0, 0, 0, 0, 0, 0, 0],[0, 0, 0, 0, 0, 0, 0]]\n",
+ "\n",
+ "for i in range(len(G)):\n",
+ " # iterate through columns of PXd\n",
+ " for j in range(len(M[0])):\n",
+ " # iterate through rows of PYX\n",
+ " for k in range(len(M)):\n",
+ " X[i][j] += G[i][k] * M[k][j]\n",
+ "print('The required code word')\n",
+ "for r in range(0,7):\n",
+ " print(X[0][r])"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The required code word\n",
+ "1\n",
+ "0\n",
+ "1\n",
+ "0\n",
+ "0\n",
+ "0\n",
+ "0\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 9.19, Page No 572"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Determine code word \n",
+ "m3=1\n",
+ "m2=0\n",
+ "m1=1\n",
+ "m0=0\n",
+ "#M=Message Matrix\n",
+ "#G=Generator Matrix\n",
+ "G=[[1, 0, 0, 0, 1, 0, 1],[0, 1, 0, 0, 1, 1, 1],[0, 0, 1, 0, 1, 1, 0],[0, 0, 0, 1, 0, 1, 1]]\n",
+ "M=[[m3,m2,m1,m0]]\n",
+ "X = [[0, 0, 0, 0, 0, 0, 0],[0, 0, 0, 0, 0, 0, 0],[0, 0, 0, 0, 0, 0, 0],[0, 0, 0, 0, 0, 0, 0]]\n",
+ "\n",
+ "\n",
+ "for i in range(len(G)):\n",
+ " # iterate through columns of PXd\n",
+ " for j in range(len(M[0])):\n",
+ " # iterate through rows of PYX\n",
+ " for k in range(len(M)):\n",
+ " X[i][j] += G[i][k] * M[k][j]\n",
+ "print('The required code word')\n",
+ "for r in range(0,7):\n",
+ " print(X[0][r] )\n",
+ " \n",
+ "\n",
+ "print('The code in the book is wrong')\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The required code word\n",
+ "1\n",
+ "0\n",
+ "1\n",
+ "0\n",
+ "0\n",
+ "0\n",
+ "0\n",
+ "The code in the book is wrong\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file