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

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% 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 = 50;
prob = zeros(max_n, max_k);
rng(1)
Phi_far = zeros(N, N * M);
C = randi([1, M], 1, N);
xi = 1 + 0.02 * C;
% for i = 1:N
%
% Phi_x = zeros(N, M);
%
% for p = 1:M
%
% for q = 1:N
% range = ((p - 1) * C(i)) / M; % p start from 0 or 1?
% doppler = ((q - 1) * (i - 1) * xi(i)) / N; % q start from 0 or 1?
% Phi_x(q, p) = exp(1j * 2 * pi * (range + doppler)) / sqrt(N);
% end
%
% end
%
% % t == ctranspose(Phi_x(:,1)) * Phi_x(:,1) == 1
% Phi_far(:, (i - 1) * M + 1:i * M) = Phi_x;
%
% end
for i = 1:n
for j = 1:m
n = 60;
k = 5;
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");