📄 alamouti.asv
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%===================================================================
%10/30/04 Sun Jie-ting ECUST
%===================================================================
% Alamouti.m
% ==========
% Description: This m-file simulates the SER performance of Alamouti
% space-time shceme using maximum likelihood decoding
% Usage: ser_ml=Alamouti(Nr,max_snr,max_err_symbol,symbol_per_frame)
% Inputs:
% Nr: the number of receiving antenna,either 1 or 2
% max_snr: simulation from 0 to max_snr
% max_err_symbol: the simulation will stop when the number of
% received error symbols exceeds max_err_symbol
% symbol_per_frame: the number of symbols to transmit in a data
% frame and we assume the channel fading
% coefficients will keep the same the data
% frame transmitting period.Becasue of 2 Tx
% antenna, symbol_per_frame must be even
% Outputs:
% ser_ml: symbol-error-ratio of each snr
% ======================================================================
function ser_ml=Alamouti(Nr,max_snr,max_err_symbol,symbol_per_frame);
%clc;
%发射天线数,固定为2
if mod(symbol_per_frame,2) == 0
Nt = 2;
tot_frame_tx=zeros(1,max_snr+1);
tot_err_symbol =zeros(1,max_snr+1);
tot_frame_tx = zeros(1,max_snr+1);
for snr=0:max_snr
while tot_err_symbol(snr+1)<max_err_symbol
tot_frame_tx(snr+1) = tot_frame_tx(snr+1)+1;
%生成伪随机二进制待发送序列
psudo_bit_sequence = rand(1,symbol_per_frame * 2)>0.5;
%二进制信道与QPSK信号的转换
qpsk_sequence = QpskMapping(psudo_bit_sequence);
%噪声能量(已归一化)
% sig = sqrt(0.5/(10^(snr/10)));
sig = sqrt(1/(10^(snr/10)));
%生成加性高斯噪声
addtional_gaussian_noise = sig * (randn(Nr,Nt,symbol_per_frame) + j*randn(Nr,Nt,symbol_per_frame));
%生成具有瑞利分布特性的信道衰落系数
H=RayleighCH(Nr,Nt);
for k=1:2:symbol_per_frame-1
X=[qpsk_sequence(k) -conj(qpsk_sequence(k+1)); qpsk_sequence(k+1) conj(qpsk_sequence(k))];
%接收信号
R=H*X + addtional_gaussian_noise(:,:,k);
%接收信号的合成(利用发送矩阵的正交性对信道衰落矩阵进行正交化处理),由Alamoui码原理可知,信号合成方式因接收天线数目而异
switch Nr
case 1
s0=conj(H(1))*R(1)+H(2)*conj(R(2));
s1=conj(H(2))*R(1)-H(1)*conj(R(2));
case 2
s0=conj(H(1,1))*R(1,1)+H(1,2)*conj(R(1,2))+conj(H(2,1))*R(2,1)+H(2,2)*conj(R(2,2));
s1=conj(H(1,2))*R(1,1)-H(1,1)*conj(R(1,2))+conj(H(2,2))*R(2,1)-H(2,1)*conj(R(2,2));
end
S=[s0 s1];
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 最大似然译码 %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
dh = [1+j -1+j -1-j 1-j]/sqrt(2);
D1=abs(S(1)*[1 1 1 1]-dh).^2;
[minScale positionmin]=min(D1);
X_dec1=dh(positionmin);
D2=abs(S(2)*[1 1 1 1]-dh).^2;
[minScale positionmin]=min(D2);
X_dec2=dh(positionmin);
X_dec=[X_dec1;X_dec2];
if sum([(X(1,1)~=X_dec1) X(2,1)~=X_dec2])
tot_err_symbol(snr+1)=tot_err_symbol(snr+1)+1;
break
end
end
end
end
%在不同信噪比条件下,求系统SER(误符号率)
ser_ml=tot_err_symbol./(tot_frame_tx * symbol_per_frame);
% [minScale positionmin] = min(ser_ml);
semilogy(0:max_snr,ser_ml);
xlabel('SNR');
ylabel('Symbol Error Ratio(SER)');
%axis([0 max_snr 10^(round(log10(minScale)-0.5)) 1]);
else
disp('symbol_per_frame must be even!');
ser_ml = 0;
end
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