88 lines
2.7 KiB
Matlab
Executable File
88 lines
2.7 KiB
Matlab
Executable File
function [s_T, A] = narrow_signal_model_sample(FAR_N)
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FAR_M = 1;
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global c f_c N N_wide B ranges_wide betas_wide FIGURE numP f_s N_high T_r T_p TEST method;
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pulse_number = FAR_N;
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single_pulse_length = N;
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all_pulse_length = single_pulse_length * pulse_number;
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pulse_width = N_high;
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delta_f = 0;
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delta_r = T_p * c / 2;
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delta_v = c / (2 * f_c * FAR_N * T_r);
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ranges = (0: FAR_M - 1) * delta_r;
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velos = (0: FAR_N - 1) * delta_v;
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delays = 2 * ranges / c;
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t_single = (0: 1/f_s: T_p-1/f_s)';
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t = (0: 1/f_s: FAR_N * T_r-1/f_s)';
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s_T = zeros(length(t), 1);
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T_p_N = floor(T_p * f_s);
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T_r_N = floor(T_r * f_s);
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freqs = zeros(FAR_N, 1);
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for i = 1: FAR_N
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C_n = floor(rand() * FAR_M);
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freqs(i) = f_c + C_n * delta_f;
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% freqs(i) = f_c + i * delta_f;
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end
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for i = 1: FAR_N
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N_l = (i - 1) * T_r_N + 1;
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N_r = (i - 1) * T_r_N + T_p_N;
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s_T(N_l:N_r) = exp(1j * 2 * pi * freqs(i) * t_single);
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end
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% echo
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s_R = zeros(length(s_T), FAR_M, FAR_N);
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s_D = zeros(length(s_T), FAR_M, FAR_N);
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for range_idx = 1: FAR_M % R
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r = ranges(range_idx);
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for doppler_idx = 1: FAR_N % D
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v = velos(doppler_idx);
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f_n = freqs(doppler_idx);
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for pulse_idx = 1: FAR_N % N
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nT_r = (pulse_idx - 1) * T_r;
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rr = r + v * nT_r;
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delay = 2 * rr / c;
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t_l = delay + nT_r;
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N_l = max(1, round(t_l * f_s) + 1);
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N_r = N_l + T_p_N - 1;
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s_D(N_l: N_r, range_idx, doppler_idx) = exp(-1j * 2 * pi * f_n * (2 / c) * (r + v * (nT_r + t_single)));
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end
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end
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end
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% Sampling
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A = zeros(FAR_N, FAR_N * FAR_M);
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for range_idx = 1: FAR_M % R
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for doppler_idx = 1: FAR_N % D
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index = (doppler_idx - 1) * FAR_M + range_idx;
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for pulse_idx = 1: FAR_N % N
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t_sample = delays(range_idx) + T_p + (pulse_idx - 1) * T_r;
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A(pulse_idx, index) = s_D(round(t_sample * f_s), range_idx, doppler_idx);
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end
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end
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end
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if 1 == 0
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Lambda = 1:10;
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x_wide = zeros(N_wide, 1);
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x_wide(Lambda) = 1;
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n_wide = randn(length(s_T_FAR), 1) * 0.01;
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y = A_wide * x_wide;
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y_noise = y + n_wide;
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x_hat = recovery(A_wide, y_noise, method);
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figure(1);
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subplot(211); plot(abs(x_wide));
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subplot(212); plot(abs(x_hat));
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figure(2);
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subplot(311); plot(real(A_wide * x_wide));
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subplot(312); plot(real(A_wide * x_hat));
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subplot(313); plot(real(A_wide * (x_wide - x_hat)));
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end
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