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2024-02-21 16:46:15 +08:00

49 lines
1.4 KiB
Matlab

close all;
clear all;
clc;
M = 4;
N = 128;
%block_sparsity = 1;
tol = 1e-5;
trial = 20;
epi = 0.02;
result = zeros(N,25);
for col = 4:N
for block_sparsity = 10:18
success_count = 0;
for loop = 1:trial
FAR_model = zeros(N,M*N);
%Cn = randperm(M)-1
for n = 0 : N-1
Cn = floor(rand()*M);
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
col_choose = randperm(N,col);
FAR_model = FAR_model(col_choose,:);
sparse_signal = zeros(M,N);
block = randperm(N,block_sparsity);
sparse_signal(:,block) = exp(1i*2*pi*rand(M,block_sparsity));
y = FAR_model * sparse_signal(:);
cvx_begin
variable x(M,N) complex
norm21 = 0;
for i = 1:N
norm21 = norm21 + norm(x(:,i));
end
minimize(norm21)
subject to
FAR_model * x(:) == y
cvx_end
if norm(x(:)-sparse_signal(:))<tol
success_count = success_count+1;
end
end
result(col,block_sparsity) = success_count/trial;
end
end
save('FARblockepsilon2.mat');