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{
"metadata": {
"name": "",
"signature": "sha256:52a8123efdb6330b1c01d828fbdcc37a6411e5ce1469de2c94b22a16e7b4d8c8"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 10: Antennas, Diversity and Link Analysis"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 10.1, Page 292"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#Variable declaration\n",
"D=10000; #in metres\n",
"TxEIRP=30; #Effective Isotropic Radiated Power(EIRP)dBW\n",
"lamda=0.2; #in metres\n",
"Pt=10; #Transmitted power in dBW\n",
"Gt=20; #transmitter gain in dBi\n",
"Gr=3; #receiver gain in dBi\n",
"Lo=6;#total system lossses in dB\n",
"Nf=5; #noise figure in dB\n",
"BW=1.25; #mHz\n",
"k=1.38*10**-23; #Boltzmann constant\n",
"T=290; #temperature in degree kelvin\n",
"\n",
"#Calculations\n",
"Lp=20*math.log10(lamda/(4*math.pi*D)); #free space loss\n",
"Pr=Lp+Pt+Gt+Gr-Lo;# received power in dBW\n",
"No=10*math.log10(k*T); #Noise density in dBW\n",
"NO=No+30; #factor of '30' to convert from dBW to dBm\n",
"Pn=Nf+10*math.log10(BW*10**6)+NO;# noise signal power in dBm\n",
"SNR=(Pr+30)-Pn;\n",
"\n",
"#Results\n",
"print 'The received signal power is %d dBm'%(round(Pr+30)); #factor of '30' to convert from dBW to dBm\n",
"print 'SNR is %d dB'%SNR"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The received signal power is -59 dBm\n",
"SNR is 49 dB\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 10.2, Page 293"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#Variable declaration\n",
"#As we have to use data from Eg 10.1, \n",
"D=10000; # in metres\n",
"TxEIRP=30; #Effective Isotropic Radiated Power(EIRP)dBW\n",
"lamda=0.2; #in metres\n",
"Pt=10; #trasmitted power in dBW\n",
"Gt=20; #transmitter gain in dBi\n",
"Gr=3; #receiver gain in dBi\n",
"Lo=6;#total system lossses in dB\n",
"Nf=5; #noise figure in dB\n",
"BW=1.25; #mHz\n",
"k=1.38*10**-23; #Boltzmann constant\n",
"T=290; #temperature in degree kelvin\n",
"#additional data given in this eg\n",
"hr=40.; #height of receiver in metre\n",
"ht=2; #trasmittter antenna height in metres\n",
"\n",
"#Calculations\n",
"Lp=20*math.log10(hr*ht/D**2);\n",
"Pr=Lp+Pt+Gt+Gr-Lo;# received power in dBW\n",
"No=10*math.log10(k*T); #Noise density in dBW\n",
"NO=No+30; #factor of '30' to convert from dBW to dBm\n",
"Pn=Nf+10*math.log10(BW*10**6)+NO;# noise signal power in dBm\n",
"SNR=(Pr+30)-Pn;\n",
"\n",
"#Result\n",
"print 'The received signal power is %d dBm'%(round(Pr+30)); #factor of '30' to convert from dBW to dBm\n",
"print 'SNR is %d dB'%SNR"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The received signal power is -65 dBm\n",
"SNR is 43 dB\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 10.3, Page 299"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#Variable declaration\n",
"Pin=12.; #Input power in watts\n",
"Ploss=3; #resistive losses in Watts\n",
"D=5; #Directivity\n",
"\n",
"#Calculations\n",
"Eff=(Pin-Ploss)/Pin;\n",
"G=Eff*D;\n",
"\n",
"#Results\n",
"print 'Gain of the antenna is %.2f dB = %.2f'%(10*math.log10(G),G);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Gain of the antenna is 5.74 dB = 3.75\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 10.4, Page 299"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Variable declaration\n",
"G=12.; #Gain of antenna in dBi\n",
"\n",
"#Calculations\n",
"Theta=101.5/10**(G/10);\n",
"\n",
"#Result\n",
"print 'The 3-dB beam width of a linear element antenna is %.1f degrees'%Theta"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The 3-dB beam width of a linear element antenna is 6.4 degrees\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 10.5, Page 299"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#Variable declaration\n",
"N=12; #number of turns\n",
"fr=1.8; #frequency in GHz\n",
"\n",
"#Calculations\n",
"lamda=3*10**8/(fr*10**9);\n",
"DH=lamda/math.pi;# diameter of helix in milli-meters\n",
"S=lamda/4;#turn spacing in millimetres\n",
"L=N*S;\n",
"G=15*N*S*(DH*math.pi)**2/lamda**3;\n",
"Theta=52*lamda/(math.pi*DH)*math.sqrt(lamda/(N*S));\n",
"\n",
"#Results\n",
"print 'The optimim diameter is %d mm'%(DH*1000);\n",
"print 'Spacing is %.1f mm'%(S*1000);\n",
"print 'Total Length of antenna is %d mm'%(L*1000);\n",
"print 'The antenna gain is %.1f dBi'%(10*math.log10(G));\n",
"print 'The BeamWidth of antenna is %d degrees'%Theta"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The optimim diameter is 53 mm\n",
"Spacing is 41.7 mm\n",
"Total Length of antenna is 500 mm\n",
"The antenna gain is 16.5 dBi\n",
"The BeamWidth of antenna is 30 degrees\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 10.6, Page 305"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Variable declaration\n",
"E0=1000.; #average SNR\n",
"Eg=10; #threshold value for SNR\n",
"M=3; #3-Branch Combiner\n",
"e=2.71828; #Euler's number\n",
"\n",
"#Calculations&Results\n",
"x=Eg/E0;\n",
"P3=(1-e**(-x))**M; #Considering 3-branch selection combiner\n",
"print 'By considering 3-branch selection combiner technique, probability comes to be %.e'%P3;\n",
"P1=(1-e**(-x));#M=1;\n",
"print ' BY not considering diversity technique, probability comes to be %.e'%P1;"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"By considering 3-branch selection combiner technique, probability comes to be 1e-06\n",
" BY not considering diversity technique, probability comes to be 1e-02\n"
]
}
],
"prompt_number": 7
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 10.7, Page 312"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Variable declaration\n",
"SR=3.84; #spreading rate in Mcps\n",
"\n",
"#Calculations\n",
"ChipDur=1./(SR*10**6);\n",
"Speed=3*10**8;\n",
"Dd=ChipDur*Speed;\n",
"\n",
"#Result\n",
"print 'Minimum delay distance to successfully resolve the multipath components and operate the Rake receiver is %d m'%Dd"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Minimum delay distance to successfully resolve the multipath components and operate the Rake receiver is 78 m\n"
]
}
],
"prompt_number": 8
}
],
"metadata": {}
}
]
}
|
