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217 lines (188 loc) · 10.8 KB
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clear; clc;
rng(3);
tic;
% Parameters
nMonte = 5e1; %5e3
NT = 2;
NR = 2;
Ns = 16:16:16*8;
Ks = [1e-6,0.05,0.1,0.5,1e6];
Ls = [2,4];
% Main loop
PR_D = nan(nMonte,length(Ns),length(Ks),length(Ls),3); % Diagonal RIS: phys-comp., widely used, widely used -> phys-comp.
PR_B = nan(nMonte,length(Ns),length(Ks),length(Ls),3); % Beyond diagonal RIS: phys-comp., widely used, widely used -> phys-comp.
parfor iMonte = 1:nMonte
if mod(iMonte,100) == 0
fprintf(['iMonte: ',num2str(iMonte),'\n'])
end
PR_D_tmp = nan(length(Ns),length(Ks),length(Ls),3);
PR_B_tmp = nan(length(Ns),length(Ks),length(Ls),3);
for iN = 1:length(Ns)
N = Ns(iN);
for iK = 1:length(Ks)
K = Ks(iK);
% Generate channels
HR_LoS = exp(1i * 2 * pi * rand(NR,1)) * exp(1i * 2 * pi * rand(1,N));
HR_NLoS = sqrt(1/2) * (randn(NR,N) + 1i * randn(NR,N));
HR = sqrt(K/(1+K)) * HR_LoS + sqrt(1/(1+K)) * HR_NLoS; % Rician
HT_LoS = exp(1i * 2 * pi * rand(N,1)) * exp(1i * 2 * pi * rand(1,NT));
HT_NLoS = sqrt(1/2) * (randn(N,NT) + 1i * randn(N,NT));
HT = sqrt(K/(1+K)) * HT_LoS + sqrt(1/(1+K)) * HT_NLoS; % Rician
H43_LoS = exp(1i * 2 * pi * rand(N,1)) * exp(1i * 2 * pi * rand(1,N));
H43_NLoS = sqrt(1/2) * (randn(N,N) + 1i * randn(N,N));
H43 = sqrt(K/(1+K)) * H43_LoS + sqrt(1/(1+K)) * H43_NLoS; % Rician
H32_LoS = exp(1i * 2 * pi * rand(N,1)) * exp(1i * 2 * pi * rand(1,N));
H32_NLoS = sqrt(1/2) * (randn(N,N) + 1i * randn(N,N));
H32 = sqrt(K/(1+K)) * H32_LoS + sqrt(1/(1+K)) * H32_NLoS; % Rician
H21_LoS = exp(1i * 2 * pi * rand(N,1)) * exp(1i * 2 * pi * rand(1,N));
H21_NLoS = sqrt(1/2) * (randn(N,N) + 1i * randn(N,N));
H21 = sqrt(K/(1+K)) * H21_LoS + sqrt(1/(1+K)) * H21_NLoS; % Rician
% Compute D and BD
for iL = 1:length(Ls)
L = Ls(iL);
if L == 1
PR_D_tmp(iN,iK,iL,1) = func_opt_1RISs_pc(HT,HR,'D',0);
PR_B_tmp(iN,iK,iL,1) = func_opt_1RISs_pc(HT,HR,'B',0);
[PR_D_tmp(iN,iK,iL,2), PR_D_tmp(iN,iK,iL,3)] = func_opt_1RISs_wu(HT,HR,'D',0);
[PR_B_tmp(iN,iK,iL,2), PR_B_tmp(iN,iK,iL,3)] = func_opt_1RISs_wu(HT,HR,'B',0);
elseif L == 2
PR_D_tmp(iN,iK,iL,1) = func_opt_2RISs_pc(HT,HR,H21,'D',0);
PR_B_tmp(iN,iK,iL,1) = func_opt_2RISs_pc(HT,HR,H21,'B',0);
[PR_D_tmp(iN,iK,iL,2), PR_D_tmp(iN,iK,iL,3)] = func_opt_2RISs_wu(HT,HR,H21,'D',0);
[PR_B_tmp(iN,iK,iL,2), PR_B_tmp(iN,iK,iL,3)] = func_opt_2RISs_wu(HT,HR,H21,'B',0);
elseif L == 3
PR_D_tmp(iN,iK,iL,1) = func_opt_3RISs_pc(HT,HR,H21,H32,'D',0);
PR_B_tmp(iN,iK,iL,1) = func_opt_3RISs_pc(HT,HR,H21,H32,'B',0);
[PR_D_tmp(iN,iK,iL,2), PR_D_tmp(iN,iK,iL,3)] = func_opt_3RISs_wu(HT,HR,H21,H32,'D',0);
[PR_B_tmp(iN,iK,iL,2), PR_B_tmp(iN,iK,iL,3)] = func_opt_3RISs_wu(HT,HR,H21,H32,'B',0);
elseif L == 4
PR_D_tmp(iN,iK,iL,1) = func_opt_4RISs_pc(HT,HR,H21,H32,H43,'D',0);
PR_B_tmp(iN,iK,iL,1) = func_opt_4RISs_pc(HT,HR,H21,H32,H43,'B',0);
[PR_D_tmp(iN,iK,iL,2), PR_D_tmp(iN,iK,iL,3)] = func_opt_4RISs_wu(HT,HR,H21,H32,H43,'D',0);
[PR_B_tmp(iN,iK,iL,2), PR_B_tmp(iN,iK,iL,3)] = func_opt_4RISs_wu(HT,HR,H21,H32,H43,'B',0);
end
end
end
end
PR_D(iMonte,:,:,:,:) = PR_D_tmp;
PR_B(iMonte,:,:,:,:) = PR_B_tmp;
end
PR_D_av = squeeze(mean(PR_D));
PR_B_av = squeeze(mean(PR_B));
PR_theo_LoS_av = zeros(length(Ns),length(Ls),3);
for iL = 1:length(Ls)
L = Ls(iL);
PR_theo_LoS_av(:,iL,1) = (Ns.^2 + sqrt(pi)*sqrt(Ns).*Ns + Ns) .^ L * NT * NR; % Physic
PR_theo_LoS_av(:,iL,2) = Ns.^(2*L) * NT * NR; % Widely
PR_theo_LoS_av(:,iL,3) = (Ns.^2 + Ns) .^ L * NT * NR; % Physics sub
end
toc;
%% Plot Relative Difference
figure('defaultaxesfontsize',12)
LineW = 2; MarkS = 8;
iL = 1;
semilogy(Ns,PR_B_av(:,1,iL,1)./PR_B_av(:,1,iL,2)-1,'-h','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','BD-RIS')
hold on;
semilogy(Ns,PR_B_av(:,2,iL,1)./PR_B_av(:,2,iL,2)-1,'->','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','BD-RIS')
semilogy(Ns,PR_B_av(:,3,iL,1)./PR_B_av(:,3,iL,2)-1,'-^','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','BD-RIS')
semilogy(Ns,PR_B_av(:,4,iL,1)./PR_B_av(:,4,iL,2)-1,'-d','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','BD-RIS')
semilogy(Ns,PR_B_av(:,5,iL,1)./PR_B_av(:,5,iL,2)-1,'-o','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','BD-RIS')
set(gca,'ColorOrderIndex',1)
semilogy(Ns,PR_D_av(:,1,iL,1)./PR_D_av(:,1,iL,2)-1,'--p','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','D-RIS,{\it K = 0}')
semilogy(Ns,PR_D_av(:,2,iL,1)./PR_D_av(:,2,iL,2)-1,'--<','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','D-RIS,{\it K = 0.05}')
semilogy(Ns,PR_D_av(:,3,iL,1)./PR_D_av(:,3,iL,2)-1,'--v','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','D-RIS,{\it K = 0.1}')
semilogy(Ns,PR_D_av(:,4,iL,1)./PR_D_av(:,4,iL,2)-1,'--s','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','D-RIS,{\it K = 0.5}')
semilogy(Ns,PR_D_av(:,5,iL,1)./PR_D_av(:,5,iL,2)-1,'--x','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','D-RIS,{\it K = \infty}')
grid on;
set(gca,'GridLineStyle',':','GridAlpha',0.8,'LineWidth',1.5);
xlabel('Number of RIS elements');
ylabel('Relative difference')
legend('location','northeast','FontSize',12,'NumColumns',2);
ax = gca;
ax.XTick = [0,Ns];
ax.XLim = [0 max(Ns)];
ax.YTick = [0.1 0.3 1 3 10 30];
ax.YLim = [0.1 30];
set(gcf, 'Color', [1,1,1]);
set(gca, 'LineWidth',1.5);
figure('defaultaxesfontsize',12)
LineW = 2; MarkS = 8;
iL = 2;
semilogy(Ns,PR_B_av(:,1,iL,1)./PR_B_av(:,1,iL,2)-1,'-h','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','BD-RIS')
hold on;
semilogy(Ns,PR_B_av(:,2,iL,1)./PR_B_av(:,2,iL,2)-1,'->','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','BD-RIS')
semilogy(Ns,PR_B_av(:,3,iL,1)./PR_B_av(:,3,iL,2)-1,'-^','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','BD-RIS')
semilogy(Ns,PR_B_av(:,4,iL,1)./PR_B_av(:,4,iL,2)-1,'-d','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','BD-RIS')
semilogy(Ns,PR_B_av(:,5,iL,1)./PR_B_av(:,5,iL,2)-1,'-o','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','BD-RIS')
set(gca,'ColorOrderIndex',1)
semilogy(Ns,PR_D_av(:,1,iL,1)./PR_D_av(:,1,iL,2)-1,'--p','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','D-RIS,{\it K = 0}')
semilogy(Ns,PR_D_av(:,2,iL,1)./PR_D_av(:,2,iL,2)-1,'--<','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','D-RIS,{\it K = 0.05}')
semilogy(Ns,PR_D_av(:,3,iL,1)./PR_D_av(:,3,iL,2)-1,'--v','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','D-RIS,{\it K = 0.1}')
semilogy(Ns,PR_D_av(:,4,iL,1)./PR_D_av(:,4,iL,2)-1,'--s','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','D-RIS,{\it K = 0.5}')
semilogy(Ns,PR_D_av(:,5,iL,1)./PR_D_av(:,5,iL,2)-1,'--x','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','D-RIS,{\it K = \infty}')
grid on;
set(gca,'GridLineStyle',':','GridAlpha',0.8,'LineWidth',1.5);
xlabel('Number of RIS elements');
ylabel('Relative difference')
ax = gca;
ax.XTick = [0,Ns];
ax.XLim = [0 max(Ns)];
ax.YTick = [0.1 0.3 1 3 10 30];
ax.YLim = [0.1 30];
legend('hide');
set(gcf, 'Color', [1,1,1]);
set(gca, 'LineWidth',1.5);
%% Plot Normalized Gain
figure('defaultaxesfontsize',12)
LineW = 2; MarkS = 8;
iL = 1;
plot(Ns,PR_B_av(:,1,iL,3)./PR_B_av(:,1,iL,1),'-h','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','BD-RIS')
hold on;
plot(Ns,PR_B_av(:,2,iL,3)./PR_B_av(:,2,iL,1),'->','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','BD-RIS')
plot(Ns,PR_B_av(:,3,iL,3)./PR_B_av(:,3,iL,1),'-^','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','BD-RIS')
plot(Ns,PR_B_av(:,4,iL,3)./PR_B_av(:,4,iL,1),'-d','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','BD-RIS')
plot(Ns,PR_B_av(:,5,iL,3)./PR_B_av(:,5,iL,1),'-o','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','BD-RIS')
set(gca,'ColorOrderIndex',1)
plot(Ns,PR_D_av(:,1,iL,3)./PR_D_av(:,1,iL,1),'--p','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','D-RIS,{\it K = 0}')
plot(Ns,PR_D_av(:,2,iL,3)./PR_D_av(:,2,iL,1),'--<','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','D-RIS,{\it K = 0.05}')
plot(Ns,PR_D_av(:,3,iL,3)./PR_D_av(:,3,iL,1),'--v','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','D-RIS,{\it K = 0.1}')
plot(Ns,PR_D_av(:,4,iL,3)./PR_D_av(:,4,iL,1),'--s','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','D-RIS,{\it K = 0.5}')
plot(Ns,PR_D_av(:,5,iL,3)./PR_D_av(:,5,iL,1),'--x','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','D-RIS,{\it K = \infty}')
grid on;
set(gca,'GridLineStyle',':','GridAlpha',0.8,'LineWidth',1.5);
xlabel('Number of RIS elements');
ylabel('Normalized gain')
legend('location','southeast','FontSize',12,'NumColumns',2);
ax = gca;
ax.XTick = [0,Ns];
ax.XLim = [0 max(Ns)];
ax.YLim = [0 1];
set(gcf, 'Color', [1,1,1]);
set(gca, 'LineWidth',1.5);
figure('defaultaxesfontsize',12)
LineW = 2; MarkS = 8;
iL = 2;
plot(Ns,PR_B_av(:,1,iL,3)./PR_B_av(:,1,iL,1),'-h','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','BD-RIS')
hold on;
plot(Ns,PR_B_av(:,2,iL,3)./PR_B_av(:,2,iL,1),'->','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','BD-RIS')
plot(Ns,PR_B_av(:,3,iL,3)./PR_B_av(:,3,iL,1),'-^','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','BD-RIS')
plot(Ns,PR_B_av(:,4,iL,3)./PR_B_av(:,4,iL,1),'-d','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','BD-RIS')
plot(Ns,PR_B_av(:,5,iL,3)./PR_B_av(:,5,iL,1),'-o','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','BD-RIS')
set(gca,'ColorOrderIndex',1)
plot(Ns,PR_D_av(:,1,iL,3)./PR_D_av(:,1,iL,1),'--p','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','D-RIS,{\it K = 0}')
plot(Ns,PR_D_av(:,2,iL,3)./PR_D_av(:,2,iL,1),'--<','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','D-RIS,{\it K = 0.05}')
plot(Ns,PR_D_av(:,3,iL,3)./PR_D_av(:,3,iL,1),'--v','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','D-RIS,{\it K = 0.1}')
plot(Ns,PR_D_av(:,4,iL,3)./PR_D_av(:,4,iL,1),'--s','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','D-RIS,{\it K = 0.5}')
plot(Ns,PR_D_av(:,5,iL,3)./PR_D_av(:,5,iL,1),'--x','linewidth',LineW,'MarkerSize',MarkS,'DisplayName','D-RIS,{\it K = \infty}')
grid on;
set(gca,'GridLineStyle',':','GridAlpha',0.8,'LineWidth',1.5);
xlabel('Number of RIS elements');
ylabel('Normalized gain')
legend('location','southeast','FontSize',12,'NumColumns',2);
ax = gca;
ax.XTick = [0,Ns];
ax.XLim = [0 max(Ns)];
ax.YLim = [0 1];
legend('hide');
set(gcf, 'Color', [1,1,1]);
set(gca, 'LineWidth',1.5);