📄 soft_demod.m
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function SoftDetOut = Soft_Demod(s, rou, var, LLR, N)
% sigma2i = rou*(1-var*rou);
% mui = rou;
mui = rou;
SoftDetOut=[];
for kk = 1:N
sigma2i = var(kk);
% only for 16QAM
Xi = real(s(kk));
Yi = imag(s(kk));
% first bit
LLR1 = (-abs(Xi - 1/sqrt(10)*mui)^2)/sigma2i - 0.5*LLR(2,kk);
LLR2 = (-abs(Xi - 3/sqrt(10)*mui)^2)/sigma2i + 0.5*LLR(2,kk);
LLR3 = (-abs(Xi + 1/sqrt(10)*mui)^2)/sigma2i - 0.5*LLR(2,kk);
LLR4 = (-abs(Xi + 3/sqrt(10)*mui)^2)/sigma2i + 0.5*LLR(2,kk);
%SoftDetOut = [ SoftDetOut (max(LLR1,LLR2) - max(LLR3,LLR4)) ];
SoftDetOut = [ SoftDetOut (log((exp(LLR1)+exp(LLR2))/(exp(LLR3)+exp(LLR4)))) ];
% second bit
LLR1 = (-abs(Xi - 3/sqrt(10)*mui)^2)/sigma2i + 0.5*LLR(1,kk);
LLR2 = (-abs(Xi + 3/sqrt(10)*mui)^2)/sigma2i - 0.5*LLR(1,kk);
LLR3 = (-abs(Xi - 1/sqrt(10)*mui)^2)/sigma2i + 0.5*LLR(1,kk);
LLR4 = (-abs(Xi + 1/sqrt(10)*mui)^2)/sigma2i - 0.5*LLR(1,kk);
%SoftDetOut = [ SoftDetOut (max(LLR1,LLR2) - max(LLR3,LLR4)) ];
SoftDetOut = [ SoftDetOut (log((exp(LLR1)+exp(LLR2))/(exp(LLR3)+exp(LLR4)))) ];
% third bit
LLR1 = (-abs(Yi - 1/sqrt(10)*mui)^2)/sigma2i - 0.5*LLR(4,kk);
LLR2 = (-abs(Yi - 3/sqrt(10)*mui)^2)/sigma2i + 0.5*LLR(4,kk);
LLR3 = (-abs(Yi + 1/sqrt(10)*mui)^2)/sigma2i - 0.5*LLR(4,kk);
LLR4 = (-abs(Yi + 3/sqrt(10)*mui)^2)/sigma2i + 0.5*LLR(4,kk);
%SoftDetOut = [ SoftDetOut (max(LLR1,LLR2) - max(LLR3,LLR4)) ];
SoftDetOut = [ SoftDetOut (log((exp(LLR1)+exp(LLR2))/(exp(LLR3)+exp(LLR4)))) ];
% forth bit
LLR1 = (-abs(Yi - 3/sqrt(10)*mui)^2)/sigma2i + 0.5*LLR(3,kk);
LLR2 = (-abs(Yi + 3/sqrt(10)*mui)^2)/sigma2i - 0.5*LLR(3,kk);
LLR3 = (-abs(Yi - 1/sqrt(10)*mui)^2)/sigma2i + 0.5*LLR(3,kk);
LLR4 = (-abs(Yi + 1/sqrt(10)*mui)^2)/sigma2i - 0.5*LLR(3,kk);
%SoftDetOut = [ SoftDetOut (max(LLR1,LLR2) - max(LLR3,LLR4)) ];
SoftDetOut = [ SoftDetOut (log((exp(LLR1)+exp(LLR2))/(exp(LLR3)+exp(LLR4)))) ];
end %for kk = 1:N
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