📄 genphaseerrorberdata.m
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function [] = GenPhaseErrorBerData(gammaRangeAwgn,gammaRangeRayleigh,phaseRange,saveFile)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% This function plots the BER for QAM modulation, with phase bias in
% the receiver.
%
% gammaRangeAwgn = the Es/No range for AWGN plotting, in dB. gammaRangeAwgn(1) = min value,
% gammaRangeAwgn(2) = max value, gammaRangeAwgn(3) = granularity
% gammaRangeRayleigh = the average Es/No range for Rayleigh plotting, in dB. Analogous to
% gammaRangeAwgn
% phaseRange = the phase range for both AWGN and Rayleigh plots. phaseRange(1) = min value,
% phaseRange(2) = max value. phaseRange(3) = granularity. Values in radians.
% saveFile = filename where the computed values shall be stored. Allows for later
% analysis without re-running simulations. If saveFile = '', then
% data is not saved.
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
NUM_SYMB_LIMIT = 100000;
BER_LIMIT = 0.00001
gammaSamplesAwgn = floor((gammaRangeAwgn(2)-gammaRangeAwgn(1))/gammaRangeAwgn(3)) + 1;
gammaSamplesRayleigh = floor((gammaRangeRayleigh(2)-gammaRangeRayleigh(1))/gammaRangeRayleigh(3))+1;
phaseSamples = floor((phaseRange(2)-phaseRange(1))/phaseRange(3))+1;
% in the following matrix, the third index indicates if it is a theoretical or simulated value,
% the fourth index indicates if it is AWGN or Rayleigh on AWGN. Index = 1 means the former,
% index = 2 means the latter.
ber = ones(max([gammaSamplesAwgn,gammaSamplesRayleigh]),phaseSamples,2,2);
% Compute AWGN BER values from theoretical equation
phaseIndex = 1;
for phase = phaseRange(1):phaseRange(3):phaseRange(2)
gammaIndex = 1;
for gamma = gammaRangeAwgn(1):gammaRangeAwgn(3):gammaRangeAwgn(2)
ber(gammaIndex,phaseIndex,1,1) = 0.25*(erfc(sqrt(10^(gamma/10))*sin((pi/4)-phase))+ ...
erfc(sqrt(10^(gamma/10))*sin((pi/4)+phase)));
gammaIndex = gammaIndex + 1;
end
phaseIndex = phaseIndex + 1;
end
% Compute Rayleigh BER values from theoretical equation
phaseIndex = 1;
for phase = phaseRange(1):phaseRange(3):phaseRange(2)
gammaIndex = 1;
for gamma = gammaRangeRayleigh(1):gammaRangeRayleigh(3):gammaRangeRayleigh(2)
ber(gammaIndex,phaseIndex,1,2) = BerRayleighPhaseError(((10^(gamma/10))/2),phase);
gammaIndex = gammaIndex + 1;
end
phaseIndex = phaseIndex + 1;
end
% Compute AWGN BER values from simulations
phaseIndex = 1;
for phase = phaseRange(1):phaseRange(3):phaseRange(2)
gammaIndex = 1;
for gamma = gammaRangeAwgn(1):gammaRangeAwgn(3):gammaRangeAwgn(2)
if (ber(gammaIndex,phaseIndex,1,1) > BER_LIMIT)
% Use the theoretical BER for a guess of the appropriate number of symbols
numSymb = round(100/ber(gammaIndex,phaseIndex,1,1))
if (numSymb > NUM_SYMB_LIMIT)
numIters = round(numSymb/NUM_SYMB_LIMIT);
numSymb = NUM_SYMB_LIMIT;
%break;
else
numIters = 1;
end
ber(gammaIndex,phaseIndex,2,1) = 0;
for jj = 1:numIters
[tempBer,ser] = basicModDemod(gamma,0,numSymb,phase);
ber(gammaIndex,phaseIndex,2,1) = ber(gammaIndex,phaseIndex,2,1) + tempBer;
end
ber(gammaIndex,phaseIndex,2,1) = ber(gammaIndex,phaseIndex,2,1)/numIters;
%[ber(gammaIndex,phaseIndex,2,1),ser] = basicModDemod(gamma,0,numSymb,phase);
end
% Save data
if (~isempty(saveFile))
save(saveFile);
end
gammaIndex = gammaIndex + 1;
end
phaseIndex = phaseIndex + 1;
end
% Compute Rayleigh BER values from simulations
phaseIndex = 1;
for phase = phaseRange(1):phaseRange(3):phaseRange(2)
gammaIndex = 1;
for gamma = gammaRangeRayleigh(1):gammaRangeRayleigh(3):gammaRangeRayleigh(2)
if (ber(gammaIndex,phaseIndex,1,2) > BER_LIMIT)
% Use the theoretical BER for a guess of the appropriate number of symbols
numSymb = round(100/ber(gammaIndex,phaseIndex,1,2))
if (numSymb > NUM_SYMB_LIMIT)
numIters = round(numSymb/NUM_SYMB_LIMIT);
numSymb = NUM_SYMB_LIMIT;
%break;
else
numIters = 1;
end
ber(gammaIndex,phaseIndex,2,2) = 0;
for jj = 1:numIters
[tempBer,ser] = basicModDemod(gamma,1,numSymb,phase);
ber(gammaIndex,phaseIndex,2,2) = ber(gammaIndex,phaseIndex,2,2) + tempBer;
end
ber(gammaIndex,phaseIndex,2,2) = ber(gammaIndex,phaseIndex,2,2)/numIters;
end
% Save data
if (~isempty(saveFile))
save(saveFile);
end
gammaIndex = gammaIndex + 1;
end
if 0
for gamma = gammaRangeRayleigh(1):gammaRangeRayleigh(3):gammaRangeRayleigh(2)
numSymb = round(100/ber(gammaIndex,phaseIndex,1,2))
if (numSymb > NUM_SYMB_LIMIT)
break;
end
[ber(gammaIndex,phaseIndex,2,2),ser] = basicModDemod(gamma,1,numSymb,phase);
gammaIndex = gammaIndex + 1;
end
end %0
phaseIndex = phaseIndex + 1;
end
% Save data
if (~isempty(saveFile))
save(saveFile);
end
PhaseErrorBerPlotterOnly;
if 0
% Perform plotting
figure;
% Plot AWGN values
%subplot(2,1,1);
%hold on
phaseIndex = 1;
%axis([gammaRangeAwgn(1) gammaRangeAwgn(3) ...
% max(1e-8,min(min(min(ber(1:gammaSamplesAwgn,:,1,1))),min(min(ber(1:gammaSamplesAwgn,:,2,1))))) ...
% max(max(max(ber(1:gammaSamplesAwgn,:,1,1))),max(max(ber(1:gammaSamplesAwgn,:,2,1))))]);
for phase = phaseRange(1):phaseRange(3):phaseRange(2)
semilogy([gammaRangeAwgn(1):gammaRangeAwgn(3):gammaRangeAwgn(2)],ber(1:gammaSamplesAwgn,phaseIndex,1,1),'b-',...
[gammaRangeAwgn(1):gammaRangeAwgn(3):gammaRangeAwgn(2)],ber(1:gammaSamplesAwgn,phaseIndex,1,1),'bo',...
[gammaRangeAwgn(1):gammaRangeAwgn(3):gammaRangeAwgn(2)],ber(1:gammaSamplesAwgn,phaseIndex,2,1),'c-.',...
[gammaRangeAwgn(1):gammaRangeAwgn(3):gammaRangeAwgn(2)],ber(1:gammaSamplesAwgn,phaseIndex,2,1),'c+');
hold on;
phaseIndex = phaseIndex + 1;
end
%hold off
% Plot Rayleigh values
%subplot(2,1,2);
%hold on
figure
phaseIndex = 1;
for phase = phaseRange(1):phaseRange(3):phaseRange(2)
semilogy([gammaRangeRayleigh(1):gammaRangeRayleigh(3):gammaRangeRayleigh(2)],ber(1:gammaSamplesRayleigh,phaseIndex,1,2),'b-',...
[gammaRangeRayleigh(1):gammaRangeRayleigh(3):gammaRangeRayleigh(2)],ber(1:gammaSamplesRayleigh,phaseIndex,1,2),'bo',...
[gammaRangeRayleigh(1):gammaRangeRayleigh(3):gammaRangeRayleigh(2)],ber(1:gammaSamplesRayleigh,phaseIndex,2,2),'c-.',...
[gammaRangeRayleigh(1):gammaRangeRayleigh(3):gammaRangeRayleigh(2)],ber(1:gammaSamplesRayleigh,phaseIndex,2,2),'c+');
hold on;
phaseIndex = phaseIndex + 1;
end
%hold off
end % 0
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