Update basic code

2024-07-22 21:17:49 +08:00
parent 401bd229b0
commit 13f660826d
4 changed files with 202 additions and 6 deletions
@@ -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