📄 unitray2.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;
for EbN0=11:15
N0=10^(-EbN0/10);
noiseRoot=sqrt(N0/2);
errorCount=0;
testCount=0;
length=0;
while(1)
% Generate the Rayleigh fading channel
h0=(randn(1)+j*randn(1))*sqrt(0.5);
n=0;
a=(randn(1)+j*randn(1))*noiseRoot;
% for nn=1:16
% n(nn)=(randn(1)+j*randn(1))*noiseRoot;
% end
% Soure matrix
matrix=(1/sqrt(8))*[1 1;1 exp(i*2*pi/8);1 exp(i*4*pi/8);1 exp(i*6*pi/8);1 exp(i*8*pi/8);1 exp(i*10*pi/8);1 exp(i*12*pi/8);1 exp(i*14*pi/8)];
% 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(1,8)>0;
dec=[128 64 32 16 8 4 2 1]*src';
% Transmit matrix
Tsrc_matrix=sqrt(8)*S_matrix.^dec*matrix;
% Receive matrix
Rece_matrix=ones(8,2);
% for m= 1:2
% for mm=1:8
Rece_matrix=0.707*h0*Tsrc_matrix+a;
%end
%end
% Decision
for ii=0:255
TR=trace( Rece_matrix'*(S_matrix.^ii*matrix)*(S_matrix.^ii*matrix)'*Rece_matrix);
% max angle
if TR>n
n=TR;
length=ii;
end
end
dst=de2bi(length,8,'left-msb');
error=xor(src,dst);
errorCount=errorCount+sum(error);
testCount=testCount+8;
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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