📄 vblast_cor.m
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% 本程序是发射和接收天线之间均有相关性的情况下VBLAST系统
close all;
clear
echo off
Tx_n = 2;
Rx_n = 2;
index =2;
frame_length=1000;
SNRindB=0:2:20;
Rt=eye(Tx_n);
Rr=eye(Rx_n);
for k=1:Tx_n
for l=1:Tx_n
if k>l
Rt(l,k)=0.9;
Rt(k,l)=Rt(l,k);
end
end
end
for x=1:Rx_n
for y=1:Rx_n
if x>y
Rr(x,y)=0.9;
Rr(y,x)=Rr(x,y);
end
end
end %不如cholesky分解效率高,但是可以随着天线数的变换方便改
for i=1:length (SNRindB),
SNR(i)=10^(SNRindB(i)/10);
a=rand(1,frame_length);
for L=1:frame_length
if a(L)>.5
a(L)=1;
else a(L)=0;
end
end
a1=modulation(a,index);
a2=reshape(a1,Tx_n,frame_length/index/Tx_n);
sigma = 1/sqrt(2*SNR(i)*index);
AWGN_noise = sigma*(randn(Rx_n,frame_length/index/Tx_n)+j*randn(Rx_n,frame_length/index/Tx_n));
dec1 = zeros(frame_length/index , index);
dec2 = zeros(frame_length/index , index);
dec3 = zeros(frame_length/index , index);
dec4 = zeros(frame_length/index , index);
for col_idx = 1:frame_length/index/Tx_n
H=(randn(Rx_n,Tx_n)+j*randn(Rx_n,Tx_n))/sqrt(2);
H1=sqrtm(Rr)*H*sqrtm(Rt); %sqrtm求的是矩阵的平方根
h=H1;
r=H1*a2(:,col_idx)+AWGN_noise(:,col_idx);
G=pinv(H1);
G1=inv(H1'*H1+sigma.^2*eye(Tx_n))*H1';
[gk1 p0]=min(sum(abs(G1).^2,2));
[gk k0]=min(sum(abs(G).^2,2));
r_ic = r;
% ZF
det_zf = G*r;
dec2((col_idx-1)*Tx_n+[1:Tx_n],:)= reshape(demodulation(det_zf.',index),index,Tx_n).';
% MMSE
det_MMSE=G1*r;
dec3((col_idx-1)*Tx_n+[1:Tx_n],:)=reshape(demodulation(det_MMSE.',index),index,Tx_n).';
%ZF+OSIC
for m=1:Tx_n
k1(m)=k0;
y=G(k1(m),:)*r_ic;
dec1((col_idx-1)*Tx_n+k1(m),:) = demodulation(y,index);
b=modulation(dec1((col_idx-1)*Tx_n+k1(m),:),index);
r_ic = r_ic - b*H1(:, k1(m));
H1(:, k1(m))=zeros(Rx_n,1);
G=pinv(H1);
temp = sum(abs(G).^2,2);
temp(k1(1:m)) = 1e10;
[gk k0]=min(temp);
end; %m
% %MMSE+OSIC
for n=1:Tx_n
p1(n)=p0;
y1=G1(p1(n),:)*r;
dec4((col_idx-1)*Tx_n+p1(n),:) = demodulation(y1,index);
b1=modulation(dec4((col_idx-1)*Tx_n+p1(n),:),index);
r = r - b1*h(:, p1(n));
h(:, p1(n))=zeros(Rx_n,1);
G1=inv(h'*h+sigma.^2*eye(Tx_n))*h';
temp1 = sum(abs(G1).^2,2);
temp1(p1(1:n)) = 1e10;
[gk1 p0]=min(temp1);
end; %m
end % col_idx
NumErr1= sum(abs(reshape(dec1.',1,frame_length)~=a))
NumErr2= sum(abs(reshape(dec2.',1,frame_length)~=a))
NumErr3= sum(abs(reshape(dec3.',1,frame_length)~=a))
NumErr4= sum(abs(reshape(dec4.',1,frame_length)~=a))
Ber1(i) = NumErr1/frame_length;
Ber2(i) = NumErr2/frame_length;
Ber3(i) = NumErr3/frame_length;
Ber4(i) = NumErr4/frame_length;
save data_2x2_0.9CO_V_QPSK.mat SNRindB Ber1 Ber2 Ber3 Ber4;
end; % Eb/N0
% semilogy (SNRindB,Ber1,'-*')
% hold on
% semilogy (SNRindB,Ber2,'-+')
% semilogy (SNRindB,Ber3,'-o')
% semilogy (SNRindB,Ber4,'-.')
% grid on;
% xlabel('Eb/No in dB');
% ylabel('error probability');
% title('Tx = 2,Rx = 2,QPSK modulation');
% legend('ZF+OSIC','ZF','MMSE','MMSE+OSIC');
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