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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Chapter 12: DIGITAL COMMUNICATIONS"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 12.13_1: example_7.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"clc;\n",
"//page no 451\n",
"//problem no 12.13.1\n",
"//A 8 bit codewords\n",
"Pbec=0.01;n=8;i=3;\n",
"Pi=(Pbec^i)*((1-(Pbec))^(n-i));\n",
"Cin=(factorial(n))/(factorial(i)*factorial(n-i));\n",
"Pin=Cin*Pi;\n",
"P_in=Cin*Pbec^i\n",
"disp(Pin,'Pin=','The probability of a received codeword');\n",
"disp(P_in,'P_in');"
]
}
,
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 12.13_3: example_6.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"clc;\n",
"//page no 454\n",
"//problem no 12.13.3\n",
"SN_dB=9;\n",
"SNR=10^(SN_dB/10);\n",
"PbeU=1/2 * (1-erf(sqrt(SNR)));\n",
"BERu=PbeU;\n",
"disp(BERu,'a)The bit error probability');\n",
"n=10;k=n-1;\n",
"r=k/n;\n",
"SNR1=r*SNR;\n",
"PbeC=1/2 * (1-erf(sqrt(SNR1)));\n",
"BERc=(n-1)*PbeC^2;\n",
"disp(BERc,'b)The bit error probability');"
]
}
,
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 12.13_4: example_9.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"clc;\n",
"//page no 457\n",
"//problem no 12.13.4\n",
"//Tx link \n",
"SN_dB=8;\n",
"SNR=10^(SN_dB/10);\n",
"//a)Determination of bit error rate\n",
"PbeU=0.5*(1-erf(sqrt(SNR)));\n",
"BER_U=PbeU;\n",
"disp(BER_U,'a)The bit-error rate is');\n",
"//b)new bit error rate\n",
"n=15;k=11;t=1;r=k/n;\n",
"SNR_n=r*SNR;\n",
"PbeC=0.5*(1-erf(sqrt(SNR_n)));\n",
"BER_C=((factorial(n-1))*PbeC^(t+1))/((factorial(t))*(factorial(n-t-1)));\n",
"disp(BER_C,'The new bit error rate is');"
]
}
,
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 12.4_1: example_1.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"clc;\n",
"//page no 419\n",
"// problem no 12.4.1\n",
"//a binary polar waveform with following specifications are given\n",
"Vs_Vn=4;//SNVR\n",
"a=erf(4/sqrt(2));\n",
"b=erfc(4/sqrt(2));\n",
"Pbe=1/2 * b;// bit error probability\n",
"disp(a);\n",
"disp(b);\n",
"disp(Pbe,'The bit error probability');"
]
}
,
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 12.4_2: example_2.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"clc;\n",
"//page no 420\n",
"//problem no 12.4.2\n",
"//a binary unipolar waveform with following specifications are given\n",
"A=4;//max value of received signal voltage\n",
"Vn=0.5;//rms noise voltage\n",
"Vth=2;//Threshold voltage for the comparator\n",
"Pbe=1/2 * b;// bit error probability\n",
"disp(Pbe,'The bit error probability');"
]
}
,
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 12.4_3: example_3.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"clc;\n",
"//page no 421\n",
"//problem no 12.4.3\n",
"SNR=9;//SNR in dB\n",
"//conversion of dB to power ratio\n",
"p=10^(9/10);\n",
"// for Polar\n",
"Pbe1=1/2 * erfc(sqrt(7.94/2));\n",
"disp(Pbe1);\n",
"// for Unipolar\n",
"Pbe2=1/2 * erfc(sqrt(7.94)/2);\n",
"disp(Pbe2);"
]
}
,
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 12.5_1: exampple_4.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"clc;\n",
"//page no 423\n",
"//problem no 12.5.1\n",
"// binary unipolar signal is given\n",
"Pavg=6*10^-12;//in W\n",
"d=0.02*10^-6;//pulse duration in sec\n",
"T=550;//equivalent noise temp in K\n",
"Eb=Pavg*d;//avg energy per pulse\n",
"No=1.38*10^-23 *T;\n",
"r=Eb/No;\n",
"//Bit error probability is \n",
"Pbe=1/2 * erfc(sqrt(r/2));\n",
"disp(Pbe,'The bit error probability');"
]
}
,
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 12.9_1: example_5.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"clc;\n",
"//page no 435\n",
"//problem no 12.9.1\n",
"ENR=10;// energy to noise density ratio\n",
"Pbe1=1/2 * erfc(sqrt(ENR/2));\n",
"disp(Pbe1,'a)The bit error probability');\n",
"Pbe2=1/2 * %e^-(ENR/2);\n",
"disp(Pbe2,'b)The bit error probability');"
]
}
],
"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
}
|
