Add lyh-非满秩相变

2024-11-11 16:33:48 +08:00
parent e6a19b477e
commit e0b910b56d
52 changed files with 208020 additions and 0 deletions
@@ -0,0 +1,80 @@
+N = 32;
+M =4;
+R =2;
+epi = 0.02;
+noise = [0.1,0.1^(0.5)];
+%contri1 = zeros(M,N);
+%contri2 = zeros(M,N);
+con1 = zeros(20,2);
+con2 = zeros(20,2);
+re1 = zeros(20,2);
+re2 = zeros(20,2);
+
+for noise_k = 1:2
+for k = 1:20
+    for loop = 1:50
+
+    
+        FAR_model = zeros(N,M*N);
+        order = randperm(M)-1;
+        for n = 0 : N-1
+            Cn = order(ceil(rand()*R));
+            for q = 0 : N-1
+                for p = 0:M-1
+                    FAR_model(n+1,q*M+p+1) = exp(1i*2*pi*p/M*Cn+1i*2*pi*q/N*n*(1+Cn*epi));
+                end
+            end
+        end
+        
+        x = zeros(M,N);
+        col = randperm(N,k);
+        x(:,col) = randn(M,k) + 1i*randn(M,k);
+        y = FAR_model * x(:) + (randn(N,1)+1i*randn(N,1))*noise(noise_k);
+        
+        cvx_begin
+        variable x_e(M,N) complex
+        norm21 = 0;
+        for i = 1:N
+            norm21 = norm21 + norm(FAR_model(:,(i-1)*M+1:i*M)*x_e(:,i));
+        end
+        minimize(norm21)
+        subject to
+        norm(FAR_model*x_e(:) - y) <= sqrt(N)*noise(noise_k);
+        cvx_end
+        contri2 = zeros(N,1);
+        re_err = zeros(N,1);
+        for i = 1:N
+            if ismember(i,col)
+                re_err = re_err+FAR_model(:,(i-1)*M+1:i*M)*(x_e(:,i));
+            end
+            contri2(i) = norm(FAR_model(:,(i-1)*M+1:i*M)*(x_e(:,i)));
+       	end
+		re1(k,noise_k) = re1(k,noise_k) +norm(FAR_model*x(:)-re_err)/norm(FAR_model*x(:));
+        con1(k,noise_k) = con1(k,noise_k) + 1-sum(contri2(col))/sum(contri2);      
+
+
+        cvx_begin
+        variable x_e(M,N) complex
+        norm21 = 0;
+        for i = 1:N
+            norm21 = norm21 + norm(x_e(:,i));
+        end
+        minimize(norm21)
+        subject to
+        norm(FAR_model*x_e(:) - y) <= sqrt(N)*noise(noise_k);
+        cvx_end
+        re_err = zeros(N,1);
+        contri2 = zeros(N,1);
+        for i = 1:N
+            if ismember(i,col)
+                re_err = re_err+FAR_model(:,(i-1)*M+1:i*M)*(x_e(:,i));
+            end
+            contri2(i) = norm(FAR_model(:,(i-1)*M+1:i*M)*(x_e(:,i)));
+       	end
+		re2(k,noise_k) = re2(k,noise_k) +norm(FAR_model*x(:)-re_err)/norm(FAR_model*x(:));
+        con2(k,noise_k) = con2(k,noise_k) + 1-sum(contri2(col))/sum(contri2);   
+    end
+end
+end
+
+save("FAR_noise_0206.mat")