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Update basic code

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This commit is contained in:
Ksyer
2024-07-22 21:17:49 +08:00
parent 401bd229b0
commit 13f660826d
4 changed files with 202 additions and 6 deletions
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basic/cVAMPro.m
+4
View File
@@ -46,7 +46,11 @@ function x = ST(h_1, lambda, Q_1)
x = zeros(N, M);
for i = 1:N
if h_1(i) == 0
sign = 1;
else
sign = h_1(i) ./ abs(h_1(i));
end
diff = abs(h_1(i)) - lambda;
x(i) = sign .* (diff ./ Q_1) .* SF(diff);
end
basic/get_Psi.m
+21 -5
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@@ -1,15 +1,31 @@
function Psi = get_Psi(N, M, epi)
function [C_n, Psi] = get_Psi(N, M, epi)
if nargin == 2
epi = 0;
end
k = 1 / sqrt(M * N);
C_n = zeros(M, 1);
% Determined code 1
% C_n = repelem(0:M-1, N/M);
% Determined code 2
% C_n = repmat(0:M-1, 1, N/M);
% Determined code 3
C_n = repmat(0:M-1, 1, N/M);
C_n = C_n(randperm(length(C_n)));
Psi = zeros(N,M*N);
for n = 0 : N-1
col = zeros(1, M*N);
Cn = floor(rand()*M);
% C_n(n+1) = floor(rand()*M);
for q = 0 : N-1
for p = 0:M-1
f1 = p/M*Cn;
f2 = q/N*n*(1+Cn*epi);
f1 = p/M*C_n(n+1);
f2 = q/N*n*(1+C_n(n+1)*epi);
col(q*M+p+1) = exp(1j*2*pi*(f1 + f2));
end
end
Psi(n+1, :) = col;
Psi(n+1, :) = col * k;
end
end
basic/get_Psi_sample.m
Executable
+89
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@@ -0,0 +1,89 @@
function [s_T, A, freqs] = FAR_signal_model_sample(FAR_N, FAR_M)
global c f_c N N_wide B ranges_wide betas_wide FIGURE numP f_s N_high T_r T_p TEST method;
pulse_number = FAR_N;
single_pulse_length = N;
all_pulse_length = single_pulse_length * pulse_number;
pulse_width = N_high;
delta_f = B / FAR_M;
delta_r = c / (2 * B);
delta_v = c / (2 * f_c * FAR_N * T_r);
ranges = (0: FAR_M - 1) * delta_r;
velos = (0: FAR_N - 1) * delta_v;
delays = 2 * ranges / c;
t_single = (0: 1/f_s: T_p-1/f_s)';
t = (0: 1/f_s: FAR_N * T_r-1/f_s)';
s_T = zeros(length(t), 1);
T_p_N = floor(T_p * f_s);
T_r_N = floor(T_r * f_s);
freqs = zeros(FAR_N, 1);
for i = 1: FAR_N
C_n = floor(rand() * FAR_M);
freqs(i) = f_c + C_n * delta_f;
% freqs(i) = f_c + i * delta_f;
end
for i = 1: FAR_N
N_l = (i - 1) * T_r_N + 1;
N_r = (i - 1) * T_r_N + T_p_N;
s_T(N_l:N_r) = exp(1j * 2 * pi * freqs(i) * t_single);
end
% echo
s_R = zeros(length(s_T), FAR_M, FAR_N);
s_D = zeros(length(s_T), FAR_M, FAR_N);
for range_idx = 1: FAR_M % R
r = ranges(range_idx);
for doppler_idx = 1: FAR_N % D
v = velos(doppler_idx);
f_n = freqs(doppler_idx);
for pulse_idx = 1: FAR_N % N
nT_r = (pulse_idx - 1) * T_r;
rr = r + v * nT_r;
delay = 2 * rr / c;
t_l = delay + nT_r;
N_l = max(1, round(t_l * f_s) + 1);
N_r = N_l + T_p_N - 1;
s_D(N_l: N_r, range_idx, doppler_idx) = exp(-1j * 2 * pi * f_n * (2 / c) * (r + v * (nT_r + t_single)));
end
end
end
% Sampling
A = zeros(FAR_N, FAR_N * FAR_M);
for range_idx = 1: FAR_M % R
for doppler_idx = 1: FAR_N % D
index = (doppler_idx - 1) * FAR_M + range_idx;
for pulse_idx = 1: FAR_N % N
t_sample = delays(range_idx) + T_p + (pulse_idx - 1) * T_r;
A(pulse_idx, index) = s_D(round(t_sample * f_s), range_idx, doppler_idx);
end
end
end
A = get_Psi(FAR_N, FAR_M, 0);
AAH = A * A';
A = A ./ sqrt(AAH(1, 1));
if 1 == 0
Lambda = 1:10;
x_wide = zeros(N_wide, 1);
x_wide(Lambda) = 1;
n_wide = randn(length(s_T_FAR), 1) * 0.01;
y = A_wide * x_wide;
y_noise = y + n_wide;
x_hat = recovery(A_wide, y_noise, method);
figure(1);
subplot(211); plot(abs(x_wide));
subplot(212); plot(abs(x_hat));
figure(2);
subplot(311); plot(real(A_wide * x_wide));
subplot(312); plot(real(A_wide * x_hat));
subplot(313); plot(real(A_wide * (x_wide - x_hat)));
end
basic/narrow_signal_model_sample.m
Executable
+87
View File
@@ -0,0 +1,87 @@
function [s_T, A] = narrow_signal_model_sample(FAR_N)
FAR_M = 1;
global c f_c N N_wide B ranges_wide betas_wide FIGURE numP f_s N_high T_r T_p TEST method;
pulse_number = FAR_N;
single_pulse_length = N;
all_pulse_length = single_pulse_length * pulse_number;
pulse_width = N_high;
delta_f = 0;
delta_r = T_p * c / 2;
delta_v = c / (2 * f_c * FAR_N * T_r);
ranges = (0: FAR_M - 1) * delta_r;
velos = (0: FAR_N - 1) * delta_v;
delays = 2 * ranges / c;
t_single = (0: 1/f_s: T_p-1/f_s)';
t = (0: 1/f_s: FAR_N * T_r-1/f_s)';
s_T = zeros(length(t), 1);
T_p_N = floor(T_p * f_s);
T_r_N = floor(T_r * f_s);
freqs = zeros(FAR_N, 1);
for i = 1: FAR_N
C_n = floor(rand() * FAR_M);
freqs(i) = f_c + C_n * delta_f;
% freqs(i) = f_c + i * delta_f;
end
for i = 1: FAR_N
N_l = (i - 1) * T_r_N + 1;
N_r = (i - 1) * T_r_N + T_p_N;
s_T(N_l:N_r) = exp(1j * 2 * pi * freqs(i) * t_single);
end
% echo
s_R = zeros(length(s_T), FAR_M, FAR_N);
s_D = zeros(length(s_T), FAR_M, FAR_N);
for range_idx = 1: FAR_M % R
r = ranges(range_idx);
for doppler_idx = 1: FAR_N % D
v = velos(doppler_idx);
f_n = freqs(doppler_idx);
for pulse_idx = 1: FAR_N % N
nT_r = (pulse_idx - 1) * T_r;
rr = r + v * nT_r;
delay = 2 * rr / c;
t_l = delay + nT_r;
N_l = max(1, round(t_l * f_s) + 1);
N_r = N_l + T_p_N - 1;
s_D(N_l: N_r, range_idx, doppler_idx) = exp(-1j * 2 * pi * f_n * (2 / c) * (r + v * (nT_r + t_single)));
end
end
end
% Sampling
A = zeros(FAR_N, FAR_N * FAR_M);
for range_idx = 1: FAR_M % R
for doppler_idx = 1: FAR_N % D
index = (doppler_idx - 1) * FAR_M + range_idx;
for pulse_idx = 1: FAR_N % N
t_sample = delays(range_idx) + T_p + (pulse_idx - 1) * T_r;
A(pulse_idx, index) = s_D(round(t_sample * f_s), range_idx, doppler_idx);
end
end
end
if 1 == 0
Lambda = 1:10;
x_wide = zeros(N_wide, 1);
x_wide(Lambda) = 1;
n_wide = randn(length(s_T_FAR), 1) * 0.01;
y = A_wide * x_wide;
y_noise = y + n_wide;
x_hat = recovery(A_wide, y_noise, method);
figure(1);
subplot(211); plot(abs(x_wide));
subplot(212); plot(abs(x_hat));
figure(2);
subplot(311); plot(real(A_wide * x_wide));
subplot(312); plot(real(A_wide * x_hat));
subplot(313); plot(real(A_wide * (x_wide - x_hat)));
end