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ROC_2_check.m
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% clear all
% close all
rng('shuffle')
%% Initialization
N = 4;
M = 2;
P = 16;
Z = 8;
K = 2;
% fa = logspace(-12,-10,8);
fa = logspace(-10,-1,8);
var_n = 10^-(2);
var_c = var_n*1e3;
L = 0.5*(0:P-1)';
g = -1:1/Z:1;
S = [-25 9] + length(g)*9;
mu = inf;
PSL = 10*log10(log(length(g))/N);
N_ = N*P*M;
N_2 = P*M*length(0.5*(0:2*Z));
%% Generate array
while 1
if M > 1
Zt = Z/2; Zr = Z/2;
zt = Zt*sort(rand(M,1)); zt(1) = 0;
zr = Zr*sort(rand(N,1));
else
Zr = Z;
zt = 0;
zr = Zr*sort(rand(N,1)); zr(1) = 0;
end
A_ra = generate_dictionary(zr,zt,g,P);
C_ra = generate_clutter(zr,zt,1001,P);
A_ula1 = generate_dictionary(0.5*(0:N-1)',zt,g,P);
C_ula1 = generate_clutter(0.5*(0:N-1)',zt,201,P);
A_ula2 = generate_dictionary(0.5*(0:2*Z)',zt,g,P);
C_ula2 = generate_clutter(0.5*(0:2*Z)',zt,201,P);
R_c = inv(var_c(end)*C_ra*C_ra' + var_n(end)*eye(N_));
A_ = sum(abs(sqrtm(R_c)*A_ra).^2,1);
[P_,I_] = sort(A_);
I_ = I_(1:19);
P_map = abs(A_ra'*R_c*A_ra(:,S(1))).^2./A_';
P_map2 = sort(P_map,'descend');
mu = 10*log10(P_map2(2)/P_map2(1))
P_map = reshape(P_map,17,17);
if mu < PSL-1
break
end
end
%% Monte Carlo Simulations
ex = 1e4;
Pd = zeros(length(fa),1);
Pf = Pd;
A_raS = A_ra(:,S);
A_ula1S = A_ula1(:,S);
A_ula2S = A_ula2(:,S);
for i = 1:ex
clc
[i/ex mu]
[Pd/(i-1)/K Pf/(i-1)]
% Generate secondary data
Z_ra = sqrt(var_n/2)*(randn(N_,2*N_) + randn(N_,2*N_)*1i) + sqrt(var_c/2)*C_ra*(randn(size(C_ra,2),2*N_) + randn(size(C_ra,2),2*N_)*1i);
% Z_ula1 = sqrt(var_n/2)*(randn(N_,2*N_) + randn(N_,2*N_)*1i) + sqrt(var_c/2)*C_ula1*(randn(size(C_ula1,2),2*N_) + randn(size(C_ula1,2),2*N_)*1i);
% Z_ula2 = sqrt(var_n/2)*(randn(N_2,2*N_2) + randn(N_2,2*N_2)*1i) + sqrt(var_c/2)*C_ula2*(randn(size(C_ula2,2),2*N_2) + randn(size(C_ula2,2),2*N_2)*1i);
% Generate primary data
y_ra = A_raS*exp(1i*2*pi*rand(K,1)) + sqrt(var_n/2)*(randn(N_,1) + randn(N_,1)*1i) + sqrt(var_c/2)*C_ra*(randn(size(C_ra,2),1) + randn(size(C_ra,2),1)*1i);
% y_ula1 = A_ula1S*exp(1i*2*pi*rand(K,1)) + sqrt(var_n/2)*(randn(N_,1) + randn(N_,1)*1i) + sqrt(var_c/2)*C_ula1*(randn(size(C_ula1,2),1) + randn(size(C_ula1,2),1)*1i);
% y_ula2 = sqrt(2)*A_ula2S*exp(1i*2*pi*rand(K,1)) + sqrt(var_n/2)*(randn(N_2,1) + randn(N_2,1)*1i) + sqrt(var_c/2)*C_ula2*(randn(size(C_ula2,2),1) + randn(size(C_ula2,2),1)*1i);
% Perform detection
% [S_AMF1,P1] = CFAR_AMF(y_ula1,A_ula1,Z_ula1,fa*10);
% [S_AMF2,P2] = CFAR_AMF(y_ula2,A_ula2,Z_ula2,fa);
% S_MP = CFAR_MHMP4(y_ula2,A_ula2,[],fa,Z_ula2);
[S_AMF3,P3] = CFAR_AMF(y_ra,A_ra,Z_ra,fa*10);
% S_MP = CFAR_MHMP4(y_ra,A_ra,[],fa,Z_ra);
% S_MBMP = CFAR_MHMP4(y_ra,A_ra,[3 3 1],fa,Z_ra);
% Record results
for f = 1:length(fa)
% Pd(f,:) = Pd(f,:) + [length(intersect(S_AMF1(f).S,S)) length(intersect(S_AMF2(f).S,S)) length(intersect(S_AMF3(f).S,S)) length(intersect(S_MP(f).S,S))];
% Pf(f,:) = Pf(f,:) + 1 - [isempty(setdiff(S_AMF1(f).S,S)) isempty(setdiff(S_AMF2(f).S,S)) isempty(setdiff(S_AMF3(f).S,S)) isempty(setdiff(S_MP(f).S,S))];
Pd(f) = Pd(f) + length(intersect(S_AMF3(f).S,S));
Pf(f) = Pf(f) + 1 - isempty(setdiff(S_AMF3(f).S,S));
end
% if isempty(setdiff(S_AMF2(f).S,S)) == 0
% clc
% end
end
Pd = Pd/ex/K;
Pf = Pf/ex;
% figure, semilogx(Pf(:,1),Pd(:,1),Pf(:,2),Pd(:,2),'-rx',Pf(:,3),Pd(:,3),'-ks',Pf(:,4),Pd(:,4),'-go','LineWidth',2,'MarkerSize',10)
% xlabel('P_F')
% ylabel('P_D')
% legend('ABF - (4\lambda ULA)','ABF - (8\lambda ULA)','ABF - (8\lambda RA','MP-CFAR - (8\lambda RA)')
figure, semilogx(Pf(:,1),Pd(:,1),Pf(:,3),Pd(:,3),'-ks',Pf(:,2),Pd(:,2),'-rx',Pf(:,4),Pd(:,4),'-go','LineWidth',2,'MarkerSize',10)
xlabel('P_F')
ylabel('P_D')
legend('ABF - (4\lambda ULA)','ABF - (8\lambda RA)','ABF - (8\lambda ULA)','MP-CFAR', 'MBMP-CFAR')