测试文献Iterative MAP equalization %表达式(18)-(19)
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%6. 测试文献Iterative MAP equalization and decoding in wireless mobile coded ofdm %表达式(18)-(19) clc;clear;clc;M = 8; %在载波数K = MF = 1/sqrt(M) * fft(eye(M)); % unitary FFT matrix of size ML = 2; % CP length (same as channel order)Q2 = 1; %对角化用q = Q2;lambda = 0.6; pdp = exp( -lambda*(0:L).' ) / sum( exp( -lambda*(0:L).') ); % for exponential power-delay profilenormalized_Doppler_frequency = 0.05; % with respect to the subcarrier spacingf_d = normalized_Doppler_frequency / M; bit1=[0 1 1 1 1 1 0 1]';bit2=[0 0 0 1 1 1 1 1]'; %数据源d = 1/sqrt(2) * ((2*bit1-1)+sqrt(-1)*(2*bit2-1)); %星座点n = 1/sqrt(2) * (randn(M,1)+sqrt(-1)*randn(M,1)); % generation of the current channel realization ht = ltv_channel_gen_test(f_d,M,32,L+1,pdp); % time-varying CIR; Ht = zeros(M,M); % time-domain channel matrix (pre-allocation) for index_subcarrier = 1:M index_col = mod(((index_subcarrier-L):index_subcarrier)-1,M)+1; Ht(index_subcarrier,index_col) = fliplr(ht(1:(L+1),index_subcarrier).'); % time-domain channel matrix end % frequency-domain channel matrices (with mask to enforce banded matrices) Hf = F * Ht * (F'); %对角化 mask2 = toeplitz([ones(Q2+1,1);zeros(M-(2*Q2+1),1);ones(Q2,1)]); mask2(M-1:M,1) = 0; mask2(M,2) = 0; mask2(1,M-1:M) = 0; mask2(2,M) = 0; Hf_banded = Hf.* mask2; %对角后的矩阵 d_hat = Hf*d + n; %信道传输 Hf_banded_hat = Hf_banded'; temp1 = d_hat'* Hf_banded *d + d'* Hf_banded_hat*d_hat; %虚部和虚部约掉了,只剩下实部 temp2 = 2*real( d'* Hf_banded_hat*d_hat); %式(18) 第一项 temp3 = d'*Hf_banded'*Hf_banded*d; %式(18) 第二项 %第一项 temp_sum = 0; for m=1:K %mod(m-q:m+q,K) temp = 0; for k=(mod(m-q:m+q,K)) %matlab下标从1开始,模掉K,再把0置为K if (k == 0) k = K; end temp = temp + Hf_banded_hat(m,k)*d_hat(k); end temp_d = (d(m))'*2*temp; temp_sum = temp_sum + real(temp_d); end %第二项% G = Hf_banded_hat*Hf_banded; %G% tempg_sum = 0;% for m=1:K% %mod(m-q:m+q,K)% tempg = 0;% for k=mod(1:2*q,K) %matlab下标从1开始,模掉K,再把0置为K% if (k == 0)% k = K;% end% % if (m-k>0&&m-k<K)% tempg = temp + G(m,m-k)*d(m-k);% end% end% temp_d = G(m,m)*d(m) + 2*tempg;% temp_gg = (d(m))'* temp_d% tempg_sum = tempg_sum + real(temp_gg);% % end G = Hf_banded_hat*Hf_banded; %G tempg_sum = 0; for m=1:K %mod(m-q:m+q,K) tempg = 0; for k=mod(m-2*q:m+2*q,K) %matlab下标从1开始,模掉K,再把0置为K if (k == 0) k = K; %用自己推的和原来的计算结果一致, %但是用作者的计算与原表达式不一样 end tempg = tempg + G(m,k)*d(k); end temp_gg = (d(m))'* tempg; tempg_sum = tempg_sum + real(temp_gg); end
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