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+{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:4b08bbb242b14bb2e9d6b297d6c2efe9724a5525d0e315485c89f280e01ac4b8"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 16: Direct Broadcast Satellite Services"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 16.1, Page 474"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "#Varaible Declaration\n",
+ "\n",
+ "EIRP=55 #EIRP for satellite(dBW)\n",
+ "fD=12.5 #Downlink frequency(GHz)\n",
+ "Pss=-101 #Receiving at ground station direction(degrees west)\n",
+ "Rb=40*10**6 #Transmission Rate(Hz)\n",
+ "D=18 #Diameter of antenna(inches)\n",
+ "n=0.55 #Efficiency of antenna\n",
+ "Tant=70 #Antenna noise(Kelvin)\n",
+ "Teq=100 #Equivalent noise temperature at LNA(Kelvin)\n",
+ "R=6371 #Radius of earth(Km)\n",
+ "L=2 #Transmission losses(dB)\n",
+ "aGSO=42164 #Circumference of earth(km)\n",
+ "k=-228.6 #Boltzmann's constant (dB)\n",
+ "PE=-90 #Longitude of Earth station(degrees west)\n",
+ "LE=45 #Latitude of Earth station(degrees north)\n",
+ "f=14 #Frequency(GHz)\n",
+ "#Calculation\n",
+ "B=PE-Pss\n",
+ "b=math.acos(math.cos(B*3.142/180)*math.cos(LE*3.142/180))\n",
+ "b=b*180/3.142\n",
+ "A=math.asin(math.sin(abs(B)*3.142/180)/math.sin(b*3.142/180))\n",
+ "A=A*180/3.142\n",
+ "Az=180+A #Azimuth angle of antenna(degrees)\n",
+ "d=(R**2+aGSO**2-2*R*aGSO*math.cos(b*3.142/180))**0.5 #Range of antenna(km)\n",
+ "El=math.acos(aGSO*math.sin(b*3.142/180)/d) #Elevation angle of antenna(radians)\n",
+ "El=El*180/3.142 #Elevation angle of antenna(degrees)\n",
+ "Az=round(Az,1)\n",
+ "El=round(El)\n",
+ "d=round(d)\n",
+ "FSL=32.4+20*math.log10(d)+20*math.log10(f*10**3) #Free space loss(dB)\n",
+ "LOSSES=FSL+L #Total Transmission Losses\n",
+ "Ts=Teq+Tant #Total system noise temperature(Kelvin)\n",
+ "T=10*math.log10(Ts) #Total system noise temperature(dBK)\n",
+ "G=n*(3.192*f*(D/float(12)))**2\n",
+ "G=10*math.log10(G) #Antenna Gain(dB)\n",
+ "GTR=G-T #G/T ratio(dB)\n",
+ "CNR=EIRP+GTR-LOSSES-k #Carrier to noise ratio(dB)\n",
+ "Rb=10*math.log10(Rb) #Transmission Rate(dBHz)\n",
+ "EbN0R=CNR-Rb #Eb/N0 ratio at IRD(dB)\n",
+ "EbN0R=round(EbN0R,1)\n",
+ "#Results\n",
+ "\n",
+ "print \"The Azimuth angle of antenna is\",Az,\"degrees\"\n",
+ "print \"The Elevaation Angle of Antenna is\",El,\"degrees\"\n",
+ "print \"The Range of Antenna is\",d,\"km\"\n",
+ "print \"The Eb/N0 ratio at IRD is\",EbN0R,\"dB\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The Azimuth angle of antenna is 195.4 degrees\n",
+ "The Elevaation Angle of Antenna is 37.0 degrees\n",
+ "The Range of Antenna is 38020.0 km\n",
+ "The Eb/N0 ratio at IRD is 10.3 dB\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 16.2, Page 480"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "#Varaible Declaration\n",
+ "\n",
+ "R01=42 #Rainfall at earth station(mm/hr)\n",
+ "p=0.01 #Percentage of time for which rain exceeds\n",
+ "LE=45 #Latitue of earth station(degrees)\n",
+ "hR=3.5 #Rain Height(km)\n",
+ "h0=0 #Mean Sea level(km)\n",
+ "Ta=272 #\n",
+ "El=37 #Elevation angle of the antenna(degrees)\n",
+ "Ts=170 #Total system noise temperature(Kelvin)\n",
+ "NCR=2.3*10**-9 #Carrier to noise ratio\n",
+ "fD=12.5 #Frequency of operation(GHz)\n",
+ "f12=12 #Frequency 12GHz(GHz)\n",
+ "f15=15 #Frequency 15GHz(GHz)\n",
+ "#Coefficients for horizontal and vertical polarizations at 12GHz and 15GHz as given in Table 4.2\n",
+ "\n",
+ "ah12=0.0188\n",
+ "av12=0.0168\n",
+ "bh12=1.217\n",
+ "bv12=1.2\n",
+ " \n",
+ "ah15=0.0367\n",
+ "av15=0.0335\n",
+ "bh15=1.154\n",
+ "bv15=1.128\n",
+ "\n",
+ "#Calculation\n",
+ "\n",
+ "#Using Interpolation to find coefficients at 12.5 GHz\n",
+ "\n",
+ "ah=round(ah12+(ah15-ah12)*(fD-f12)/(f15-f12),3)\n",
+ "bh=round(bh12+(bh15-bh12)*(fD-f12)/(f15-f12),3)\n",
+ "av=round(av12+(av15-av12)*(fD-f12)/(f15-f12),3)\n",
+ "bv=round(bv12+(bv15-bv12)*(fD-f12)/(f15-f12),3)\n",
+ "\n",
+ "#Coefficients for circular polarization\n",
+ "\n",
+ "ac=(ah+av)/2\n",
+ "ac=round(ac,3)\n",
+ "bc=(ah*bh+av*bv)/(2*ac)\n",
+ "bc=round(bc,3)\n",
+ "Ls1=(hR-h0)/math.sin(El*3.142/180) #Slant Path Length(km)\n",
+ "Ls=round(Ls1,1) #Slant Path Length(km)\n",
+ "LG=round(Ls*math.cos(El*3.142/180),1) #Horizontal projection of slant path length(km)\n",
+ "r011=90/(90+4*LG) #Reduction Factor\n",
+ "r01=round(r011,1) #Reduction Factor\n",
+ "L=round(Ls1*r01,1) #Effective path length(km)\n",
+ "alpha=round(ac*R01**bc,3) #Specific attenuation(dB/km)\n",
+ "A=round(10**(alpha*L/float(10)),1) #Total Attenuation(dB)\n",
+ "Trn=Ta*(1-1/A) #noise temperature with effect of rain\n",
+ "Tscs=Ts\n",
+ "NCrain=NCR*(A+(A-1)*Ta/Tscs) #Noise to carrier ratio due to rain\n",
+ "CNrain=-10*math.log10(NCrain)#Noise to carrier ratio due to rain(dB)\n",
+ "Rb=10*math.log10(40*10**6) #Transmission rate(dB)\n",
+ "EbN0rain=round(CNrain-Rb,1) #Upper limit of Eb/N0 ratio in prescence of rain(dB)\n",
+ "\n",
+ "#Result\n",
+ "\n",
+ "print \"Hence the upper limit for Eb/N0 for given conditions is\",EbN0rain,\"dB\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Hence the upper limit for Eb/N0 for given conditions is -2.1 dB\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file