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massiveBD_mmwave_MD_t256r16s2c4.m
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% Study capacity performance of BD in massive MIMO
% Hybrid precoding VS full-complexity BD
% By Weiheng Ni, UVic, Oct. 27, 2013
% Modified July 16, 2014
tic; clear all; clc;
% =============================================
% ============ Parameter settings =============
% =============================================
Nt = [256, 1];
Nr = [16, 1];
type = 1;
if type == 1
Nt = prod(Nt);
Nr = prod(Nr);
end
K = 8; % User number
Ns = 2; % #streams per user
Lr = 4; % #chains per user
Lt = Lr*K; % #chain at BS
% randn('state', 3);
Ncls = 8;
Nray = 10;
channNum = 2; % For each user
display('Channel Loading ...')
genH = zeros(prod(Nr), prod(Nt), channNum*K);
genAlpha = zeros(Ncls*Nray, channNum*K);
genAt = zeros(prod(Nt), Ncls*Nray, channNum*K);
genAr = zeros(prod(Nr), Ncls*Nray, channNum*K);
for k = 1:K
if type == 1
DirTX = [-60 60]*pi/180 + 2*pi*rand();
DirRX = [-180 180]*pi/180;
else
DirTX = [-60 60; -60 60]*pi/180 + 2*pi*rand();
DirRX = [-180 180; -180 180]*pi/180;
end
[genH(:, :, (1:channNum)+(k-1)*channNum), genAlpha(:, (1:channNum)+(k-1)*channNum), ...
genAt(:, :, (1:channNum)+(k-1)*channNum), genAr(:,:,(1:channNum)+(k-1)*channNum)]...
= channelSet(Nt, Nr, Ncls, Nray, channNum, DirTX, DirRX);
end
display('Successful!');
Nt = prod(Nt);
Nr = prod(Nr);
SNR = -40 : 5 : 0;
nSNR = length(SNR);
j = sqrt(-1);
rateBD = zeros(nSNR, 1); % full-complexity BD
rateSpa = zeros(nSNR, 1); % Hybrid BD based on sparse precoding
rateRxMmse = zeros(nSNR, 1); % MMSE at RX
ratephaseBD_ar = zeros(nSNR, 1); % Phase + BB-BD
ratephaseBD_dft = zeros(nSNR, 1); % Phase + BB-BD
ratephaseBD_svd_dft = zeros(nSNR, 1);
ratephaseBD_svd_ar = zeros(nSNR, 1);
rateBD_MD = zeros(nSNR, 1);
for isnr = 1 : nSNR
P = 10^(SNR(isnr)/10);
for ichannel = 1 : channNum
% ============= channel generation =====================
H = zeros(K*Nr, Nt);
Hcell = cell(K, 1);
At = cell(K, 1);
Ar = cell(K, 1);
Alpha = cell(K, 1);
for k = 1:K
Hcell{k} = genH(:, :, ichannel + channNum * (k-1));
H((k-1)*Nr + (1:Nr), 1:Nt) = Hcell{k};
At{k} = genAt(:, :, ichannel + channNum * (k-1));
Ar{k} = genAr(:, :, ichannel + channNum * (k-1));
Alpha{k} = genAlpha(:, ichannel + channNum * (k-1));
end
Rs = P/(K*Ns)*eye(K*Ns);
% ================= BD precoding =====================
[TBD, WBD] = CalPrecoderBD(H, K, Ns);% BD precoding & combining
HH = H*TBD;
WW = zeros(K*Ns, K*Nr);
for k = 1:K
WW((k-1)*Ns + (1:Ns), (k-1)*Nr + (1:Nr)) = WBD((k-1)*Ns + (1:Ns), 1:Nr);
end
vec_power_gain = diag(abs(WW*HH)).^2;
vec_base_level = ones(K*Ns, 1) ./ vec_power_gain;
vec_power_alloc = water_filling(P, vec_base_level);
Fwf = diag(sqrt(K*Ns*vec_power_alloc/P));
TBDwf = TBD*Fwf;
rateBD(isnr) = rateBD(isnr) + calRateMU(H, TBDwf, WBD, Rs, Ns*ones(K,1));
% ================= BD + MD precoding =====================
[TBD, WBD] = CalPrecoderBD(H, K, Ns);% BD precoding & combining
[Trf, Tbb] = general_decomp(TBD, K*Ns, Lt);
HH = H*TBD;
Wff = cell(K, 1);
Wbb = cell(K, 1);
%WW = zeros(K*Ns, K*Nr);
for k = 1:K
WW((k-1)*Ns + (1:Ns), (k-1)*Nr + (1:Nr)) = WBD((k-1)*Ns + (1:Ns), 1:Nr);
[Wff{k}, Wbb{k}] = general_decomp(WBD((k-1)*Ns + (1:Ns), 1:Nr)', Ns, Lr);
end
vec_power_gain = diag(abs(WW*HH)).^2;
vec_base_level = ones(K*Ns, 1) ./ vec_power_gain;
vec_power_alloc = water_filling(P, vec_base_level);
Fwf = diag(sqrt(K*Ns*vec_power_alloc/P));
Tbb = Tbb*sqrt(K*Ns)/norm(Trf*Tbb*Fwf, 'fro');
TphaseBD = Trf*Tbb*Fwf;
WphaseBD = zeros(K*Ns, Nr);
for k = 1:K
WphaseBD((k-1)*Ns + (1:Ns), :) = (Wff{k} * Wbb{k})';
end
rateBD_MD(isnr) = rateBD_MD(isnr) + calRateMU(H, TphaseBD, WphaseBD, Rs, Ns*ones(K,1));
% ================= Sparse Hybrid BD ================
Tf = cell(K, 1);
Tb = cell(K, 1);
Tspa = zeros(Nt, K*Ns);
Wf = cell(K, 1);
Wb = cell(K, 1);
Wspa = zeros(K*Ns, Nr);
for k = 1:K
[Tf{k}, Tb{k}] = CalSparsePrecoder(At{k}, TBD(:, (k-1)*Ns + (1:Ns)), Lt/K);
Tspa(:, (k-1)*Ns + (1:Ns)) = Tf{k}*Tb{k};
[Wf{k}, Wb{k}] = CalSparsePrecoder(Ar{k}, WBD((k-1)*Ns + (1:Ns), :)', Lr);
Wspa((k-1)*Ns + (1:Ns), :) = (Wf{k}*Wb{k})';
end
rateSpa(isnr) = rateSpa(isnr) + calRateMU(H, Tspa, Wspa, Rs, Ns*ones(K,1));
% ================ BD at TX, MMSE at RX ===============
Tmmse = Tspa;
Wmmse = cell(K, 1);
Eyy = cell(K, 1);
WRxMmse = zeros(K*Ns, Nr);
for k = 1:K
zero_eye = zeros(Ns, K*Ns);
zero_eye(:, (k-1)*Ns + (1:Ns)) = eye(Ns);
Wmmse{k} = 1/sqrt(P) * zero_eye * inv(Tmmse'*Hcell{k}'*Hcell{k}*Tmmse + K*Ns/P*eye(K*Ns)) *Tmmse' *Hcell{k}';
Wmmse{k} = Wmmse{k}';
Eyy{k} = (P/(K*Ns)) * Hcell{k} * Tmmse*Tmmse' * Hcell{k}' + eye(Nr);
[Wf{k}, Wb{k}] = calMmseCombiner(Ar{k}, Wmmse{k}, Eyy{k}, Lr);
WRxMmse((k-1)*Ns + (1:Ns), :) = (Wf{k}*Wb{k})';
end
rateRxMmse(isnr) = rateRxMmse(isnr) + calRateMU(H, Tmmse, WRxMmse, Rs, Ns*ones(K,1));
% ==================phase + BD (DFT)====================
Wff = zeros(Nr, K*Lr);
Heq = zeros(K*Lr, Nt);
for k = 1:K
Wff(:, (k-1)*Lr + (1:Lr)) = select_wf_bases(Hcell{k}, 1, 1/sqrt(Nr) * dftmtx(Nr), Lr);
Heq((k-1)*Lr + (1:Lr), :) = Wff(:, (k-1)*Lr + (1:Lr))' * Hcell{k};
end
Trf = exp(-j*angle(Heq)') / sqrt(Nt);
Hbb = Heq * Trf;
[TBD, WBD] = CalPrecoderBD(Hbb, K, Ns);
HH = Hbb*TBD;
WW = zeros(K*Ns, K*Lr);
for k = 1:K
WW((k-1)*Ns + (1:Ns), (k-1)*Lr + (1:Lr)) = WBD((k-1)*Ns + (1:Ns), :);
end
vec_power_gain = diag(abs(WW*HH)).^2;
vec_base_level = ones(K*Ns, 1) ./ vec_power_gain;
vec_power_alloc = water_filling(P, vec_base_level);
Fwf = diag(sqrt(K*Ns*vec_power_alloc/P));
WphaseBD = zeros(K*Ns, Nr);
for k = 1:K
WphaseBD((k-1)*Ns + (1:Ns), :) = WBD((k-1)*Ns + (1:Ns), :) * (Wff(:, (k-1)*Lr + (1:Lr))');
end
TBD = TBD*sqrt(K*Ns)/norm(Trf*TBD*Fwf, 'fro');
TphaseBD = Trf*TBD*Fwf;
ratephaseBD_dft(isnr) = ratephaseBD_dft(isnr) + calRateMU(H, TphaseBD, WphaseBD, Rs, Ns*ones(K,1));
end
fprintf('SNR = %d dB\n', SNR(isnr));
end
rateBD = rateBD/channNum;
rateSpa = rateSpa/channNum;
rateRxMmse = rateRxMmse/channNum;
ratephaseBD_ar = ratephaseBD_ar/channNum;
ratephaseBD_dft = ratephaseBD_dft/channNum;
ratephaseBD_svd_dft = ratephaseBD_svd_dft/channNum;
ratephaseBD_svd_ar = ratephaseBD_svd_ar/channNum;
rateBD_MD = rateBD_MD/channNum;
%%%%% Plotting
rateMat = [rateBD, rateRxMmse, ratephaseBD_dft, rateBD_MD];
figure
lw = 1.5;
ms = 5;
hold on
plot(SNR, abs(rateBD), 'k--', 'LineWidth', lw, 'MarkerSize', ms)
plot(SNR, abs(ratephaseBD_dft), 'r-', 'LineWidth', lw, 'MarkerSize', ms)
plot(SNR, abs(rateRxMmse), 'b-.', 'LineWidth', lw, 'MarkerSize', ms)
plot(SNR, abs(rateBD_MD), 'g*-', 'LineWidth', lw, 'MarkerSize', ms)
hold off
legend('Full-Complexity BD', 'Hybrid BD', 'Spatially Sparse Coding')
xlabel('SNR (dB)')
ylabel('Sum spectral efficiency (bps/Hz)')
title(sprintf('Nt = %d, Nr = %d, K = %d, Ns = %d, Lr = %d, Lt = %d, Ncls = %d, Nray = %d', ...
Nt, Nr, K, Ns, Lr, Lt, Ncls, Nray))
grid
filename = sprintf('mmwave-MD-Nt%d-K%d-Nr%d-Ns%d-Lr%d-Lt%d', Nt, K, Nr, Ns, Lr, Lt);
save(filename, 'rateMat')
% saveas(gcf, sprintf('BD-Nt%d-K%d-Nr%d-Ns%d-Lr%d-Lt%d-Ncls%d-Nray%d', Nt, K, Nr, Ns, ...
% Lr,Lt,Ncls,Nray));
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