📄 ubpsk6tr13.m
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close all
clear all
randn('state',sum(100*clock))
A=1;
ES=A*A;
Eb=ES;
minTestLength=100000;
maxTestlength=100000000;
index=1;
% bpsk modulate
matrix0=ones(6,1);
smatrix=diag(exp([i*2*pi/64 i*2*pi*18/64 i*2*pi*23/64 i*2*pi*39/64 i*2*pi*46/64 i*2*pi*57/64]));
matrix1=smatrix*matrix0;
matrix2=smatrix^2*matrix0;
matrix3=smatrix^6*matrix0;
matrix4=smatrix^22*matrix0;
matrix5=smatrix^24*matrix0;
matrix6=smatrix^44*matrix0;
matrix7=smatrix^60*matrix0;
matrix8=smatrix^64*matrix0;
% matrix2=matrix1';
for EbN0=1:15;
N0=10^(-EbN0/10);
noiseRoot=sqrt(N0/2);
errorCount=0;
testCount=0;
n=0;
length=0;
while(1)
% Generate the Rayleigh fading channel
h0=(randn(1)+j*randn(1))*sqrt(0.5);
% Noise generate
for nn=1:6
n(nn)=(randn(1)+j*randn(1))*noiseRoot;
end
% Soure matrix
% matrix=ones(8,1);
% Generate Unitray Matrix
% S_matrix=diag(exp([i*pi*2/256 i*pi*2*5/256 i*pi*2*16/256 i*pi*2*36/256 i*pi*2*57/256 i*pi*2*105/256 i*pi*2*151/256 i*pi*2*253/256]));
% 8 rows 1 columns
% Transmit source matrix
src=randn(1,3)>0;
number=[4 2 1]*src'+1;
% x=A*(2*src-1);
% max_matrix=zeros(1,4)
% Transmit matrix
switch number
case 1
Tmatrix=matrix1;
case 2
Tmatrix=matrix2;
case 3
Tmatrix=matrix3;
case 4
Tmatrix=matrix4;
case 5
Tmatrix=matrix5;
case 6
Tmatrix=matrix6;
case 7
Tmatrix=matrix7;
case 8
Tmatrix=matrix8;
end
% Receive matrix
Recematrix=zeros(6,1);
for m=1:6
Recematrix(m)=h0*Tmatrix(m)+n(m);
end
% Decision
TR1=trace( Recematrix'*(matrix1)*(matrix1)'*Recematrix);
TR2=trace( Recematrix'*(matrix2)*(matrix2)'*Recematrix);
TR3=trace( Recematrix'*(matrix3)*(matrix3)'*Recematrix);
TR4=trace( Recematrix'*(matrix4)*(matrix4)'*Recematrix);
TR5=trace( Recematrix'*(matrix5)*(matrix5)'*Recematrix);
TR6=trace( Recematrix'*(matrix6)*(matrix6)'*Recematrix);
TR7=trace( Recematrix'*(matrix7)*(matrix7)'*Recematrix);
TR8=trace( Recematrix'*(matrix8)*(matrix8)'*Recematrix);
% min matrix
max_matrix=[TR1 TR2 TR3 TR4 TR5 TR6 TR7 TR8];
% deceision
[y mmm]=max(max_matrix);
dst=de2bi(mmm-1,3,'left-msb');
error=xor(src,dst);
errorCount=errorCount+sum(error);
testCount=testCount+3;
if(testCount<minTestLength)
continue;
end
tempBER=errorCount/testCount;
%test if the test length is large enough
if(tempBER>0)
thresholdTestLength=100/(tempBER);
else
thresholdTestLength=maxTestLength;
end
%Stop current EbN0 test when the test threshold is reached
if(testCount>=thresholdTestLength)
myTestLength(index)=testCount;
Es=Eb/2;
myEsN0(index)=10*log10(Es/N0)
myEbN0(index)=EbN0
myBER(index)=tempBER
index=index+1;
break;
end
end
end
%Draw curves for the results,Eb/N0
figure(1)
semilogy(myEbN0,myBER,'*-');
xlabel('Eb/N0 in dB');
ylabel('bit error rate');
grid
%Draw curves for the results, Es/N0
% figure(2)
% semilogy(myEsN0,myBER,'+-');
% xlabel('Es/N0 in dB');
% ylabel('bit error rate');
% grid
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