%main_STBC_MIMO_OFDM.m
%这是一个基于空时分组编码的MIMO_OFDM通信系统的仿真设计。
%此系统包括QPSK调制解调，IFFT调制，空时编解码，基于训
%练符号的信道估计等通信模块。
clear all
close all
clc
%+++++++++++++++++++++++++++变量++++++++++++++++++++++++++++++
i=sqrt(-1);
IFFT_bin_length=512; %傅立叶变换抽样点数目
carrier_count=100; %子载波数目
symbols_per_carrier=66; %符号数/载波
cp_length=10; %循环前缀长度
addprefix_length=IFFT_bin_length+cp_length;
M_psk=4;
bits_per_symbol=log2(M_psk); %位数/符号
%[x1 x2;-x2* x1*] 二天线发送矩阵
% O=[1 2;-2+j 1+j];
%[x1 -x2 -x3;x2* x1* 0;x3* 0 x1*;0 -x3* x2*] 三天线发送矩阵
O=[1 -2 -3;2+j 1+j 0;3+j 0 1+j;0 -3+j 2+j];
co_time=size(O,1);
Nt=size(O,2); %发射天线数目
Nr=2; %接收天线数目
%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%+++++++++++++++++++++++++++发射机++++++++++++++++++++++++++++++
disp('--------------start-------------------');
num_X=1;
for cc_ro=1:co_time
for cc_co=1:Nt
num_X=max(num_X,abs(real(O(cc_ro,cc_co))));
end
end
co_x=zeros(num_X,1);
for con_ro=1:co_time
for con_co=1:Nt %用于确定矩阵“O”中元素的位置，符号以及共轭情况
if abs(real(O(con_ro,con_co)))~=0
delta(con_ro,abs(real(O(con_ro,con_co))))=sign(real(O(con_ro,con_co)));
epsilon(con_ro,abs(real(O(con_ro,con_co))))=con_co;
co_x(abs(real(O(con_ro,con_co))),1)=co_x(abs(real(O(con_ro,con_co))),1)+1;
eta(abs(real(O(con_ro,con_co))),co_x(abs(real(O(con_ro,con_co))),1))=con_ro;
coj_mt(con_ro,abs(real(O(con_ro,con_co))))=imag(O(con_ro,con_co));
end
end
end
eta=eta.';
eta=sort(eta);
eta=eta.';
% 坐标： (1 to 100) + 14=(15:114)
carriers = (1: carrier_count) + (floor(IFFT_bin_length/4) - floor(carrier_count/2));
% 坐标 ：256 - (15:114) + 1= 257 - (15:114) = (242:143)
conjugate_carriers=IFFT_bin_length-carriers+2;
tx_training_symbols=training_symbol(Nt,carrier_count);
baseband_out_length = carrier_count * symbols_per_carrier;
snr_min=3; %最小信噪比
snr_max=15; %最大信噪比
graph_inf_bit=zeros(snr_max-snr_min+1,2,Nr); %绘图信息存储矩阵
graph_inf_sym=zeros(snr_max-snr_min+1,2,Nr);
for SNR=snr_min:snr_max
clc
disp('Wait until SNR=');disp(snr_max);
SNR
n_err_sym=zeros(1,Nr);
n_err_bit=zeros(1,Nr);
Perr_sym=zeros(1,Nr);
Perr_bit=zeros(1,Nr);
re_met_sym_buf=zeros(carrier_count,symbols_per_carrier,Nr);
re_met_bit=zeros(baseband_out_length,bits_per_symbol,Nr);
%生成随机数用于仿真
baseband_out=round(rand(baseband_out_length,bits_per_symbol));
%二进制向十进制转换
de_data=bi2de(baseband_out);
%PSK调制
data_buf=pskmod(de_data,M_psk,0);
carrier_matrix=reshape(data_buf,carrier_count,symbols_per_carrier);
%取数为空时编码做准备，此处每次取每个子载波上连续的两个数
for tt=1:Nt:symbols_per_carrier
data=[];
for ii=1:Nt
tx_buf_buf=carrier_matrix(:,tt+ii-1);
data=[data;tx_buf_buf];
end
XX=zeros(co_time*carrier_count,Nt);
for con_r=1:co_time %进行空时编码
for con_c=1:Nt
if abs(real(O(con_r,con_c)))~=0
if imag(O(con_r,con_c))==0
XX((con_r-1)*carrier_count+1:con_r*carrier_count,con_c)=data((abs(real(O(con_r,con_c)))-1)*carrier_count+1:abs(real(O(con_r,con_c)))...
*carrier_count,1)*sign(real(O(con_r,con_c)));
else
XX((con_r-1)*carrier_count+1:con_r*carrier_count,con_c)=conj(data((abs(real(O(con_r,con_c)))-1)*carrier_count+1:abs(real(O(con_r,con_c)))...
*carrier_count,1))*sign(real(O(con_r,con_c)));
end
end
end
end %空时编码结束
XX=[tx_training_symbols;XX]; %添加训练序列
rx_buf=zeros(1,addprefix_length*(co_time+1),Nr);
for rev=1:Nr
for ii=1:Nt
tx_buf=reshape(XX(:,ii),carrier_count,co_time+1);
IFFT_tx_buf=zeros(IFFT_bin_length,co_time+1);
IFFT_tx_buf(carriers,:)=tx_buf(1:carrier_count,:);
IFFT_tx_buf(conjugate_carriers,:)=conj(tx_buf(1:carrier_count,:));
time_matrix=ifft(IFFT_tx_buf);
time_matrix=[time_matrix((IFFT_bin_length-cp_length+1):IFFT_bin_length,:);time_matrix];
tx=time_matrix(:)';
%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%+++++++++++++++++++++++++++信道++++++++++++++++++++++++++++++
%d=randint(1,4,[1,7]); %4多经信道模拟
%a=randint(1,4,[2,7])/10;
tx_tmp=tx;
d=[4,5,6,2;4,5,6,2;4,5,6,2;4,5,6,2];
a=[0.2,0.3,0.4,0.5;0.2,0.3,0.4,0.5;0.2,0.3,0.4,0.5;0.2,0.3,0.4,0.5];
for jj=1:size(d,2)
copy=zeros(size(tx)) ;
for kk = 1 + d(ii,jj): length(tx)
copy(kk) = a(ii,jj)*tx(kk - d(ii,jj)) ;
end
tx_tmp=tx_tmp+copy;
end
txch=awgn(tx_tmp,SNR,'measured'); %添加高斯白噪声
rx_buf(1,:,rev)=rx_buf(1,:,rev)+txch;
end
%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%+++++++++++++++++++++++++++接收机++++++++++++++++++++++++++++++
rx_spectrum=reshape(rx_buf(1,:,rev),addprefix_length,co_time+1);
rx_spectrum=rx_spectrum(cp_length+1:addprefix_length,:);
FFT_tx_buf=zeros(IFFT_bin_length,co_time+1);
FFT_tx_buf=fft(rx_spectrum);
spectrum_matrix=FFT_tx_buf(carriers,:);
Y_buf=(spectrum_matrix(:,2:co_time+1));
Y_buf=conj(Y_buf');
spectrum_matrix1=spectrum_matrix(:,1);
Wk=exp((-2*pi/carrier_count)*i);
L=10;
p=zeros(L*Nt,1);
for jj=1:Nt
for l=0:L-1
for kk=0:carrier_count-1
p(l+(jj-1)*L+1,1)=p(l+(jj-1)*L+1,1)+spectrum_matrix1(kk+1,1)*conj(tx_training_symbols(kk+1,jj))*Wk^(-(kk*l));
end
end
end
%q=zeros(L*Nt,L*Nt);
%for ii=1:Nt
% for jj=1:Nt
% for l1=0:L-1
% for l2=0:L-1
% for kk=0:carrier_count-1
% q(l2+(ii-1)*L+1,l1+(jj-1)*L+1)= q(l2+(ii-1)*L+1,l1+(jj-1)*L+1)+tx_training_symbols(kk+1,ii)*conj(tx_training_symbols(kk+1,jj))*Wk^(-(kk*(-l1+l2)));
% end
% end
% end
% end
%end
%h=inv(q)*p;
h=p/carrier_count;
H_buf=zeros(carrier_count,Nt);
for ii=1:Nt
for kk=0:carrier_count-1
for l=0:L-1
H_buf(kk+1,ii)=H_buf(kk+1,ii)+h(l+(ii-1)*L+1,1)*Wk^(kk*l);
end
end
end
H_buf=conj(H_buf');
RRR=[];
for kk=1:carrier_count
Y=Y_buf(:,kk);
H=H_buf(:,kk);
for co_ii=1:num_X
for co_tt=1:size(eta,2)
if eta(co_ii,co_tt)~=0
if coj_mt(eta(co_ii,co_tt),co_ii)==0
r_til(eta(co_ii,co_tt),:,co_ii)=Y(eta(co_ii,co_tt),:);
a_til(eta(co_ii,co_tt),:,co_ii)=conj(H(epsilon(eta(co_ii,co_tt),co_ii),:));
else
r_til(eta(co_ii,co_tt
