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FAR_CS/Phase Transitions in FAR using CS/Expr3.m
T
2023-12-19 17:12:26 +08:00

64 lines
952 B
Matlab

% Expr2.m to draw Fig 3(a)
clc;
clear;
M = 4;
N = 128;
rate = 0.02; % \Delta f / f_c = 0.02
beta = 1;
max_n = 125;
max_k = 25;
trials_time = 10;
eps = 1e-5;
prob = zeros(max_n, max_k);
rng(1)
Phi_far = zeros(N, N * M);
C = randi([0, M-1], 1, N);
vecn = 0:N-1;
xi = 1 + rate .* C;
for i = 1:N
for j = 1:M
t = (i-1)*M+j;
temp = 1/sqrt(N) .* exp(1j * 2 * pi + (j-1) / M .* C + 1j * 2 * pi * (i-1)/N .* vecn .* xi);
Phi_far(:, t) = temp;
end
disp(ctranspose(Phi_far(:,1)) * Phi_far(:,1))
end
% n = 60; 0
n = 70;
k = 7;
s = beta * k * M;
x = 0;
for t = 1:trials_time
x = x + Expr3_can_recovery(Phi_far, N, M, n, s, eps);
end
disp(x);
for n = 1:max_n
parfor k = 1:max_k
s = beta * k * M;
x = 0;
for t = 1:trials_time
x = x + Expr3_can_recovery(Phi_far, N, M, n, s, eps);
end
prob(n, k) = x / trials_time;
end
end
save("Expr3.mat", "prob");