Examples of link analysis from the reference
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Reference: Maral, G. and M. Bousquet. (1998.) Satellite Communications
Systems, Third Edition. John Wiley.
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See also DBSignal, DBSignalToPower, DBWToPW, AntennaGain, Beamwidth3dB,
Gain3dB, LossAtmosphericGas, LossDepointing, LossFreeSpace,
LossPolarization, LossPrecipitation, TAntennaGround, TAttenuator,
TReceiver, TSky
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Example 1 pp. 23-24
fD = 14;
pT = DBSignal(100);
r = 40000;
theta3DB = 2;
effR = 0.55;
effT = 0.6;
dT = 4;
fIllumination = 70;
gT = AntennaGain(struct('type','circular aperture','area',pi*dT^2/4,'eff',effT),fD);
eIRPSL = pT + gT;
lFS = LossFreeSpace( fD, r );
gR = Gain3dB( theta3DB, fIllumination, effR );
pR = eIRPSL - lFS + gR;
fprintf('2.3.2 Example 1: The Uplink\n-----------------------------\n');
fprintf('Gain Transmit Antenna = %10.2f (dBW)\n',gT);
fprintf('EIRP SL = %10.2f (dBW)\n',eIRPSL);
fprintf('Free Space Loss = %10.2f (dB)\n',lFS);
fprintf('Gain Receive Antenna = %10.2f (dB)\n',gR);
fprintf('Power Received = %10.2f (dBW)\n',pR);
fprintf('Power Received = %10.2f (pW)\n',DBWToPW(pR));
2.3.2 Example 1: The Uplink
-----------------------------
Gain Transmit Antenna = 53.15 (dBW)
EIRP SL = 73.15 (dBW)
Free Space Loss = 207.41 (dB)
Gain Receive Antenna = 38.23 (dB)
Power Received = -96.03 (dBW)
Power Received = 249.36 (pW)
Example 2 pp. 24-25
fD = 12;
pT = DBSignal(10);
r = 40000;
theta3DB = 2;
effT = 0.55;
effR = 0.6;
dR = 4;
fIllumination = 70;
gT = Gain3dB( theta3DB, fIllumination, effT );
eIRPSL = pT + gT;
gR = AntennaGain(struct('type','circular aperture','area',pi*dR^2/4,'eff',effR),fD);
lFS = LossFreeSpace( fD, r );
pR = eIRPSL - lFS + gR;
fprintf('\n\n2.3.2 Example 2: The Downlink\n-----------------------------\n');
fprintf('Gain Transmit Antenna = %10.2f (dBW)\n',gT);
fprintf('EIRP SL = %10.2f (dBW)\n',eIRPSL);
fprintf('Free Space Loss = %10.2f (dB)\n',lFS);
fprintf('Gain Receive Antenna = %10.2f (dB)\n',gR);
fprintf('Power Received = %10.2f (dBW)\n',pR);
fprintf('Power Received = %10.2f (pW)\n',DBSignalToPower(pR));
2.3.2 Example 2: The Downlink
-----------------------------
Gain Transmit Antenna = 38.23 (dBW)
EIRP SL = 48.23 (dBW)
Free Space Loss = 206.07 (dB)
Gain Receive Antenna = 51.81 (dB)
Power Received = -106.03 (dBW)
Power Received = 0.00 (pW)
Example p. 32
tA = 50;
tF = 290;
tERX = 50;
lFRX = 1;
gFRX = 1/DBSignalToPower( 1 );
t1 = tA + TAttenuator( tF, lFRX) + tERX/gFRX;
t2 = t1*gFRX;
fprintf('\n\n2.4.6 Example\n-------------\n');
fprintf('Temperature at feeder input = %10.2f (deg-K)\n',t1);
fprintf('Temperature at receiver input = %10.2f (deg-K)\n',t2);
2.4.6 Example
-------------
Temperature at feeder input = 188.03 (deg-K)
Temperature at receiver input = 149.36 (deg-K)
2.5.6 and 2.5.7 Example 1 and 2 pp. 39-42.
fD = 14;
pT = DBSignal(100);
lFTX = 0.5;
thetaT = 0.1;
r = 40000;
fIllumination = 70;
dT = 4;
theta3DB = Beamwidth3dB( dT, fD, fIllumination );
effR = 0.55;
effT = 0.6;
fIllumination = 70;
E = 10;
Uplink antenna
gT = AntennaGain(struct('type','circular aperture','area',pi*dT^2/4,'eff',effT),fD);
lT = LossDepointing( thetaT, theta3DB );
eIRPSL = pT + gT - lT - lFTX;
lFS = LossFreeSpace( fD, r );
lA = LossAtmosphericGas( fD, E );
lU = lA + lFS;
theta3DB = 2;
gR = Gain3dB( theta3DB, fIllumination, effR );
pR = eIRPSL - lFS + gR;
lPol = LossPolarization( 0 );
lFRX = 1;
fR = 3;
tAmbient = 290;
gOverT = gR - fR - lFRX - DBSignal(TReceiver(290,1,290,290));
cOverN0 = eIRPSL - lU + gOverT - DBSignal(1.381e-23);
lRain = LossPrecipitation( 14, 'k', 0.01, 20, 0, 0, [40000;0;0], 0 );
cOverN0Rain = eIRPSL - lU - lRain + gOverT - DBSignal(1.381e-23);
fprintf('\n\n2.5.6 Example 1 and 2.5.7 Example 2: Uplink\n-------------------------------------------\n');
fprintf('Gain Transmit Antenna = %10.2f (dBW)\n',gT);
fprintf('Depointing Loss = %10.2f (dB)\n',lFTX);
fprintf('Transmitter Loss = %10.2f (dB)\n',lT);
fprintf('Theta 3 dB = %10.2f (dB)\n',theta3DB);
fprintf('EIRP SL = %10.2f (dBW)\n',eIRPSL);
fprintf('Free Space Loss = %10.2f (dB)\n',lFS);
fprintf('Atmospheric Loss = %10.2f (dB)\n',lA);
fprintf('Upward Path Loss = %10.2f (dB)\n',lU);
fprintf('Rain Loss = %10.2f (dB)\n',lRain);
fprintf('Gain Receive Antenna = %10.2f (dB)\n',gR);
fprintf('Polarization Loss = %10.2f (dB)\n',lPol);
fprintf('Receiver Loss = %10.2f (dB)\n',lFRX);
fprintf('(G/T)SL = %10.2f (dB)\n',gOverT);
fprintf('C/N0 Clear Sky = %10.2f (dB)\n',cOverN0);
fprintf('C/N0 Rain = %10.2f (dB)\n',cOverN0Rain);
2.5.6 Example 1 and 2.5.7 Example 2: Uplink
-------------------------------------------
Gain Transmit Antenna = 53.15 (dBW)
Depointing Loss = 0.50 (dB)
Transmitter Loss = 0.85 (dB)
Theta 3 dB = 2.00 (dB)
EIRP SL = 71.80 (dBW)
Free Space Loss = 207.41 (dB)
Atmospheric Loss = 0.29 (dB)
Upward Path Loss = 207.70 (dB)
Rain Loss = 11.80 (dB)
Gain Receive Antenna = 38.23 (dB)
Polarization Loss = -0.00 (dB)
Receiver Loss = 1.00 (dB)
(G/T)SL = 6.59 (dB)
C/N0 Clear Sky = 99.29 (dB)
C/N0 Rain = 87.48 (dB)
2.5.8 and 2.5.9 Example 1 and 2 pp. 42-46.
Spacecraft
fD = 12;
pT = DBSignal(10);
lFTX = 1;
theta3DB = 2;
effT = 0.55;
r = 40000;
E = 10;
lA = LossAtmosphericGas( fD, E );
fIllumination = 70;
lEdge = 3;
Ground station
f = 1;
lFRX = 0.5;
tF = 290;
dR = 4;
effR = 0.6;
thetaR = 0.1;
tGround = 45;
EIRP Satellite
gT = Gain3dB( theta3DB, fIllumination, effT );
eIRPSL = pT + gT - lEdge - lFTX;
Downlink attenuation
lFS = LossFreeSpace( fD, r );
lD = lA + lFS;
Downlink system noise temperature
tSky = TSky( 12, 10 );
tA = TAntennaGround( tSky, 0, tGround );
tERX = TAttenuator( tF, f );
tD = TReceiver( tA, lFRX, tF, tERX );
gR = AntennaGain(struct('type','circular aperture','area',pi*dT^2/4,'eff',effR),fD);
Pointing loss
theta3DB = Beamwidth3dB( dR, fD, fIllumination );
lP = LossDepointing( thetaT, theta3DB );
gOverT = gR - lP - lFRX - DBSignal(tD);
cOverN0 = eIRPSL - lD + gOverT - DBSignal(1.381e-23);
With rain
fprintf('\n\n2.5.8 Example 1 and 2.5.9 Example 2: Downlink\n-------------------------------------------\n');
fprintf('Gain Transmit Antenna = %10.2f (dBW)\n',gT);
fprintf('Transmitter Loss = %10.2f (dB)\n',lFTX);
fprintf('Theta 3 dB = %10.2f (dB)\n',theta3DB);
fprintf('EIRP SL = %10.2f (dBW)\n',eIRPSL);
fprintf('Free Space Loss = %10.2f (dB)\n',lFS);
fprintf('Atmospheric Loss = %10.2f (dB)\n',lA);
fprintf('Downward Path Loss = %10.2f (dB)\n',lD);
fprintf('Gain Receive Antenna = %10.2f (dB)\n',gR);
fprintf('Receiver Loss = %10.2f (dB)\n',lFRX);
fprintf('Noise Temperature Receiver = %10.2f (deg-K)\n',tERX);
fprintf('Pointing Loss = %10.2f (dB)\n',lP);
disp('---- Clear Sky ----')
fprintf('Noise Temperature Ground Antenna = %10.2f (deg-K)\n',tA);
fprintf('Noise Temperature Downlink = %10.2f (deg-K)\n',tD);
fprintf('(G/T)ES Clear Sky = %10.2f (dB)\n',gOverT);
fprintf('C/N0 Clear Sky = %10.2f (dB)\n',cOverN0);
disp('---- Rain ----')
lRain = LossPrecipitation( fD, 'e', 0.01, 45, 0, 0, [40000;0;0], 0 );
tA = TAntennaGround( tSky, lRain, tGround );
tD = TReceiver( tA, lFRX, tF, tERX );
lD = lA + lFS + lRain;
gOverT = gR - lP - lFRX - DBSignal(tD);
cOverN0 = eIRPSL - lD + gOverT - DBSignal(1.381e-23);
fprintf('Rain Loss = %10.2f (dB)\n',lRain);
fprintf('Downward Path Loss = %10.2f (dB)\n',lD);
fprintf('Noise Temperature Ground Antenna = %10.2f (deg-K)\n',tA);
fprintf('Noise Temperature Downlink = %10.2f (deg-K)\n',tD);
fprintf('(G/T)ES = %10.2f (dB)\n',gOverT);
fprintf('C/N0 = %10.2f (dB)\n',cOverN0);
2.5.8 Example 1 and 2.5.9 Example 2: Downlink
-------------------------------------------
Gain Transmit Antenna = 38.23 (dBW)
Transmitter Loss = 1.00 (dB)
Theta 3 dB = 0.44 (dB)
EIRP SL = 44.23 (dBW)
Free Space Loss = 206.07 (dB)
Atmospheric Loss = 0.29 (dB)
Downward Path Loss = 206.36 (dB)
Gain Receive Antenna = 51.81 (dB)
Receiver Loss = 0.50 (dB)
Noise Temperature Receiver = 75.09 (deg-K)
Pointing Loss = 0.63 (dB)
---- Clear Sky ----
Noise Temperature Ground Antenna = 65.02 (deg-K)
Noise Temperature Downlink = 164.57 (deg-K)
(G/T)ES Clear Sky = 28.52 (dB)
C/N0 Clear Sky = 94.99 (dB)
---- Rain ----
Rain Loss = 3.63 (dB)
Downward Path Loss = 209.99 (dB)
Noise Temperature Ground Antenna = 209.44 (deg-K)
Noise Temperature Downlink = 293.29 (deg-K)
(G/T)ES = 26.01 (dB)
C/N0 = 88.85 (dB)