Link analysis for a Mars mission

Contents

%-------------------------------------------------------------------------------
%  Copyright (c) 2001 Princeton Satellite Systems, Inc. All rights reserved.
%-------------------------------------------------------------------------------

30 GHz

%-------
fHz    = 30e9;
c      = 3e8;
lambda = c/fHz;

Transmit antenna

%-----------------
apertureDiameterTransmit = 0.57;
antennaAreaTransmit      = (pi/4)*apertureDiameterTransmit^2;

apertureDiameterReceive  = 4;
antennaAreaReceive       = (pi/4)*apertureDiameterReceive^2;

apertureEfficiency       = 0.5;

aETransmit               = apertureEfficiency*antennaAreaTransmit;
aEReceive                = apertureEfficiency*antennaAreaReceive;
gainTransmit             = 4*pi*aETransmit/lambda^2;
gainReceive              = 4*pi*aEReceive /lambda^2;

range                    = 2.52*149597870*1e3; % Mars is on the other side of the sun

rangeLoss                = (lambda/(4*pi*range))^2;

k   = 1.38e-23; % Boltzmann's constant
lP  = 1;
lGP = 1;
lA  = 1;
lS  = 10^(1.4/10);
t0  = 290;
f   = 10^(3.5/10);
sN  = 10^(18/10);

pT  = logspace(2,4);


fprintf('Aperture efficiency        \t %12.4f \n',  apertureEfficiency);
fprintf('Required S/N               \t %12.4f\n',   sN                );
fprintf('Transmit Antenna area      \t %12.4f m^2\n', aETransmit       );
fprintf('Receive Antenna area       \t %12.4f m^2\n',aEReceive         );
fprintf('Propagation loss           \t %12.4f\n',   lA                );
fprintf('Ground plane loss          \t %12.4f\n',   lGP               );
fprintf('System loss                \t %12.4f\n',   lS                );
fprintf('Noise factor               \t %12.4f\n',   f                 );

pR       = pT*gainTransmit*gainReceive*rangeLoss/(lS*lA*lGP);

pN       = pR/sN;
b        = pN/(k*t0*f);

c        = b*log2(1+sN); % Shannon information theorem

yP       = {'Receive Power (W)','Bandwidth (MHz)','Information (MHz)'};
Plot2D(pT,[pR;b;c],'Transmit Power (W)',yP,'Link Analysis','log')


%--------------------------------------
% PSS internal file version information
%--------------------------------------
Aperture efficiency        	       0.5000 
Required S/N               	      63.0957
Transmit Antenna area      	       0.1276 m^2
Receive Antenna area       	       6.2832 m^2
Propagation loss           	       1.0000
Ground plane loss          	       1.0000
System loss                	       1.3804
Noise factor               	       2.2387