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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Chapter 10: Digital Siganls"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 10.1: determine_the_bit_error_rate.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"funcprot(0)\n",
"//Variable Declaration\n",
"PR=0.01 //The Average power received(watts)\n",
"Tb=0.0001 //Bit period(seconds)\n",
"N0=10**-7 //Noise power(joule)\n",
"//Calculations\n",
"Eb=PR*Tb //Energy per bit received (joule)\n",
"x=sqrt(Eb/N0)\n",
"erf=integrate('exp(-t^2)','t',0,x)\n",
"erf1=erf*(2/%pi**0.5)\n",
"BER=(1-erf1)*(10**6)/2\n",
"printf('The Bit error rate is %.1f * 10^-6', BER)"
]
}
,
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 10.2: Calculate_the_required_C_N0.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"//Variable Declaration\n",
"Rb=61 //Transmission rate (Mb/s)\n",
"ENR=9.5 //Required Energy to noise ratio(dB)\n",
"//Calculation\n",
"Rb=10*log10(61*10**6) //Converting Transmission rate to dB\n",
"CNR=Rb+ENR //Carrier to noise ratio\n",
"//Results\n",
"printf('Required Carrier to noise ratio is %.2f dB', CNR)"
]
}
,
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 10.3: Calculate_the_Eb_N0_ratio_in_decibels.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"funcprot(0)\n",
"//Variable Declaration\n",
"BER=10**-5 //Maximum allowable bit error rate\n",
"//Calculation\n",
"x=linspace(8,10,11) //Eb/N0 ratio represented by x\n",
"x1=x**0.5\n",
"for i = 1:11\n",
" x(i)=10*log10(x(i)) //Converting x into decibels\n",
"end\n",
"erf=linspace(0,0,11) //Initialization for erf function\n",
"Pe=linspace(0,0,11) //Initialization for Probablity of error\n",
"for i = 1:10\n",
" k=integrate('exp(-t**2)','t',0,x1(i))\n",
" erf(i)=k(1)*(2/%pi**0.5) \n",
" Pe(i)=(1-erf(i))/2 //Probability of error\n",
"end\n",
"y=linspace(9,9.59,5)\n",
"z=linspace(BER,BER,5)\n",
"a=linspace(9.59,9.59,5)\n",
"b=linspace(0,BER,5)\n",
"plot(x,Pe)\n",
"plot(y,z)\n",
"plot(a,b)\n",
"xlabel('','xdB','Pe(x)')\n",
"x=9.6 //The Eb/N0 ratio for Maximum BER(dB) from the graph\n",
"EbN0=x+2 //Eb/N0 ratio with implementation margin\n",
"//Results\n",
"printf('The Eb/N0 ratio with allowable BER of 10^-5 and implementation margin of 2dB is %.1f dB',EbN0)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Scilab",
"language": "scilab",
"name": "scilab"
},
"language_info": {
"file_extension": ".sce",
"help_links": [
{
"text": "MetaKernel Magics",
"url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
}
],
"mimetype": "text/x-octave",
"name": "scilab",
"version": "0.7.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
|
