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🔥 内容介绍
一个大规模的多输入多输出(MIMO)系统利用大量基站(BS)天线为一组用户服务,由于细胞间干扰(ICI)而受到飞行员污染。在这封信中,提出了一个基于图形着色的试点分配(GC-PA)方案,以减轻多单元大规模MIMO系统的试点污染。具体而言,利用衰落通道的大规模特征,首先构建了一个干涉图来描述所有用户的潜在ICI关系。然后,在有限的试点资源下,拟议的GC-PA方案旨在通过在干涉图中有效地向用户分配试点来减少潜在的ICI。通过仿真验证了该方案的性能增益.
📣 部分代码
clear;clc;tic;% system parametersM = 512; % number of BS antennas ML = 7; % cellsK = 10; % usersS = 15; % number of pilotslambda=0.1;R_Cell = 1000;r_Min = 100;alpha = 3.8;sigma_shadow = 8;% q = 15;rho_ul = 10^(15/10); % 15 dB% Test_num = 300;Test_num = 15;UL_SINR_LS_sw = zeros(K, L, Test_num);UL_SINR_MMSE_sw = zeros(K, L, Test_num);UL_SINR_MLE_sw = zeros(K, L, Test_num);UL_SINR_LS_wg = zeros(K, L, Test_num);UL_SINR_MMSE_wg = zeros(K, L, Test_num);UL_SINR_MLE_wg = zeros(K, L, Test_num);UL_SINR_LS_sp = zeros(K, L, Test_num);UL_SINR_MMSE_sp = zeros(K, L, Test_num);UL_SINR_MLE_sp = zeros(K, L, Test_num);UL_SINR_LS_ra = zeros(K, L, Test_num);UL_SINR_MMSE_ra = zeros(K, L, Test_num);UL_SINR_MLE_ra = zeros(K, L, Test_num);% Simulationfor i_test = 1:Test_numdisplay(i_test);% Generate Channel vector[H, Beta] = F_H_Generate(M, L, K, R_Cell, r_Min, sigma_shadow, alpha);%% randomN = S; % the length of the pilot sequence (N>=K)temp = zeros(L,S);for i=1:Ltemp(i,:) = randperm(S);endpilot = F_ZC(N,S);pilots = zeros(N,K,L);for l=1:Lfor k=1:Kpilots(:,k,l) = pilot(:,temp(i,k));endend%--- Received Pilot Signal ---% Y = zeros(M,N,L); % received uplink training sequences at i-th BSY = received_signal(M,N,L,rho_ul,H,pilots);H_est = CE_aid(M, K, L, H, pilots, rho_ul);UL_SINR_LS_ra(:, :, i_test) = F_SINR(L,K,H,H_est,rho_ul,pilots);% % ===== LS --> SINR =====%% H_est = CE_LS(M, K, L, Y, pilots, rho_ul, N);%% UL_SINR_LS_ra(:, :, i_test) = F_SINR(L,K,H,H_est,rho_ul,pilots);%% % ===== MMSE --> SINR =====%% H_est = CE_ideal_MMSE(M, K, L, Y, pilots, rho_ul, N, Beta);%% UL_SINR_MMSE_ra(:, :, i_test) = F_SINR(L,K,H,H_est,rho_ul,pilots);% ===== MLE --> SINR =====%H_est = CE_MLE(M, K, L, Y, pilots, rho_ul, N, Beta);UL_SINR_MLE_ra(:, :, i_test) = F_SINR(L,K,H,H_est,rho_ul,pilots);%% sprs[pilots, N] = F_SPRS2(L,K,Beta,lambda);Y = received_signal(M,N,L,rho_ul,H,pilots);H_est = CE_aid(M, K, L, H, pilots, rho_ul);UL_SINR_LS_sp(:, :, i_test) = F_SINR(L,K,H,H_est,rho_ul,pilots);% % ===== LS --> SINR =====%% H_est = CE_LS(M, K, L, Y, pilots, rho_ul, N);%% UL_SINR_LS_sp(:, :, i_test) = F_SINR(L,K,H,H_est,rho_ul,pilots);%% % ===== MMSE --> SINR =====%% H_est = CE_ideal_MMSE(M, K, L, Y, pilots, rho_ul, N, Beta);%% UL_SINR_MMSE_sp(:, :, i_test) = F_SINR(L,K,H,H_est,rho_ul,pilots);% ===== MLE --> SINR =====%H_est = CE_MLE(M, K, L, Y, pilots, rho_ul, N, Beta);UL_SINR_MLE_sp(:, :, i_test) = F_SINR(L,K,H,H_est,rho_ul,pilots);%% wgcpa[P, N] = F_WGCPA(L,K,S,Beta);Y = received_signal(M,N,L,rho_ul,H,P);H_est = CE_aid(M, K, L, H, P, rho_ul);UL_SINR_LS_wg(:, :, i_test) = F_SINR(L,K,H,H_est,rho_ul,P);% % ===== LS --> SINR =====%% H_est = CE_LS(M, K, L, Y, P, rho_ul, N);%% UL_SINR_LS_wg(:, :, i_test) = F_SINR(L,K,H,H_est,rho_ul,P);%% % ===== MMSE --> SINR =====%% H_est = CE_ideal_MMSE(M, K, L, Y, P, rho_ul, N, Beta);%% UL_SINR_MMSE_wg(:, :, i_test) = F_SINR(L,K,H,H_est,rho_ul,P);% ===== MLE --> SINR =====%H_est = CE_MLE(M, K, L, Y, P, rho_ul, N, Beta);UL_SINR_MLE_wg(:, :, i_test) = F_SINR(L,K,H,H_est,rho_ul,P);%% SPRS+WGC-PA[pilots, N] = F_SPRS_WGCPA2(L,K,Beta,lambda,S);%===== Received Pilot Signal =====%% Y = zeros(M,N,L); % received uplink training sequences at i-th BSY = received_signal(M,N,L,rho_ul,H,pilots);H_est = CE_aid(M, K, L, H, pilots, rho_ul);UL_SINR_LS_sw(:, :, i_test) = F_SINR(L,K,H,H_est,rho_ul,pilots);% % ===== LS --> SINR =====%% H_est = CE_LS(M, K, L, Y, pilots, rho_ul, N);%% UL_SINR_LS_sw(:, :, i_test) = F_SINR(L,K,H,H_est,rho_ul,pilots);%% % ===== MMSE --> SINR =====%% H_est = CE_ideal_MMSE(M, K, L, Y, pilots, rho_ul, N, Beta);%% UL_SINR_MMSE_sw(:, :, i_test) = F_SINR(L,K,H,H_est,rho_ul,pilots);% ===== MLE --> SINR =====%H_est = CE_MLE(M, K, L, Y, pilots, rho_ul, N, Beta);UL_SINR_MLE_sw(:, :, i_test) = F_SINR(L,K,H,H_est,rho_ul,pilots);end%% UL SINRfigure;Tau = 20;y = 10*log10(reshape(UL_SINR_LS_ra,1,L*K*Test_num));ymin=min(y);ymax=max(y);x=linspace(ymin,ymax,Tau);yy=hist(y,x);yy=yy/length(y)/(x(2)-x(1));s=0;for i=2:length(x)s=[s,trapz(x([1:i]),yy([1:i]))];endplot(x,s,'cx-');hold on;% y = 10*log10(reshape(UL_SINR_MMSE_ra,1,L*K*Test_num));% ymin=min(y);% ymax=max(y);% x=linspace(ymin,ymax,Tau);% yy=hist(y,x);% yy=yy/length(y)/(x(2)-x(1));% s=0;% for i=2:length(x)% s=[s,trapz(x([1:i]),yy([1:i]))];% end% plot(x,s,'c*-');% hold on;y = 10*log10(reshape(UL_SINR_MLE_ra,1,L*K*Test_num));ymin=min(y);ymax=max(y);x=linspace(ymin,ymax,Tau);yy=hist(y,x);yy=yy/length(y)/(x(2)-x(1));s=0;for i=2:length(x)s=[s,trapz(x([1:i]),yy([1:i]))];endplot(x,s,'co-');hold on;y = 10*log10(reshape(UL_SINR_LS_sp,1,L*K*Test_num));ymin=min(y);ymax=max(y);x=linspace(ymin,ymax,Tau);yy=hist(y,x);yy=yy/length(y)/(x(2)-x(1));s=0;for i=2:length(x)s=[s,trapz(x([1:i]),yy([1:i]))];endplot(x,s,'bx-');hold on;%% y = 10*log10(reshape(UL_SINR_MMSE_sp,1,L*K*Test_num));% ymin=min(y);% ymax=max(y);% x=linspace(ymin,ymax,Tau);% yy=hist(y,x);% yy=yy/length(y)/(x(2)-x(1));% s=0;% for i=2:length(x)% s=[s,trapz(x([1:i]),yy([1:i]))];% end% plot(x,s,'b*-');% hold on;y = 10*log10(reshape(UL_SINR_MLE_sp,1,L*K*Test_num));ymin=min(y);ymax=max(y);x=linspace(ymin,ymax,Tau);yy=hist(y,x);yy=yy/length(y)/(x(2)-x(1));s=0;for i=2:length(x)s=[s,trapz(x([1:i]),yy([1:i]))];endplot(x,s,'bo-');hold on;y = 10*log10(reshape(UL_SINR_LS_wg,1,L*K*Test_num));ymin=min(y);ymax=max(y);x=linspace(ymin,ymax,Tau);yy=hist(y,x);yy=yy/length(y)/(x(2)-x(1));s=0;for i=2:length(x)s=[s,trapz(x([1:i]),yy([1:i]))];endplot(x,s,'gx-');hold on;%% y = 10*log10(reshape(UL_SINR_MMSE_wg,1,L*K*Test_num));% ymin=min(y);% ymax=max(y);% x=linspace(ymin,ymax,Tau);% yy=hist(y,x);% yy=yy/length(y)/(x(2)-x(1));% s=0;% for i=2:length(x)% s=[s,trapz(x([1:i]),yy([1:i]))];% end% plot(x,s,'g*-');% hold on;y = 10*log10(reshape(UL_SINR_MLE_wg,1,L*K*Test_num));ymin=min(y);ymax=max(y);x=linspace(ymin,ymax,Tau);yy=hist(y,x);yy=yy/length(y)/(x(2)-x(1));s=0;for i=2:length(x)s=[s,trapz(x([1:i]),yy([1:i]))];endplot(x,s,'go-');hold on;y = 10*log10(reshape(UL_SINR_LS_sw,1,L*K*Test_num));ymin=min(y);ymax=max(y);x=linspace(ymin,ymax,Tau);yy=hist(y,x);yy=yy/length(y)/(x(2)-x(1));s=0;for i=2:length(x)s=[s,trapz(x([1:i]),yy([1:i]))];endplot(x,s,'rx-');hold on;%% y = 10*log10(reshape(UL_SINR_MMSE_sw,1,L*K*Test_num));% ymin=min(y);% ymax=max(y);% x=linspace(ymin,ymax,Tau);% yy=hist(y,x);% yy=yy/length(y)/(x(2)-x(1));% s=0;% for i=2:length(x)% s=[s,trapz(x([1:i]),yy([1:i]))];% end% plot(x,s,'r*-');% hold on;y = 10*log10(reshape(UL_SINR_MLE_sw,1,L*K*Test_num));ymin=min(y);ymax=max(y);x=linspace(ymin,ymax,Tau);yy=hist(y,x);yy=yy/length(y)/(x(2)-x(1));s=0;for i=2:length(x)s=[s,trapz(x([1:i]),yy([1:i]))];endplot(x,s,'ro-');hold on;grid on;%axis([-80 40 0 1]);title('CDF of uplink SINR');legend('Random','MLE:Random','SPRS','MLE:SPRS','WGC-PA','MLE:WGC-PA','SPRS+WGC-PA','MLE:SPRS+WGC-PA');xlabel('SINR(dB)');ylabel('CDF');hold off;toc;
⛳️ 运行结果

🔗 参考文献
X. Zhu, L. Dai and Z. Wang, "Graph Coloring Based Pilot Allocation to Mitigate Pilot Contamination for Multi-Cell Massive MIMO Systems," in IEEE Communications Letters, vol. 19, no. 10, pp. 1842-1845, Oct. 2015, doi: 10.1109/LCOMM.2015.2471304.
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本文提出了一种基于图形着色的试点分配(GC-PA)方法,用于减轻多单元大规模MIMO系统中的细胞间干扰(ICI)。通过构建干涉图并有效分配有限的试点资源,仿真结果展示了该方案在减少潜在干扰方面的性能提升。
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