%% 全空域四扇区动态先验鲁棒性测试 (多核并行加速版) clear; clc; close all; rng(2024); par = setpar(); N_ant = par.M; N_RF = par.Nrf; clutter_angle = -15; a_clutter = gen_a(clutter_angle, par); INR_linear = 10^(30/10); noise_power = 1; R_interference = noise_power * eye(N_ant) + INR_linear * (a_clutter * a_clutter'); disp('正在构建全空域字典 (传统OMP使用)...'); dic_angles_full = -90:0.5:90; A_dic_full = zeros(N_ant, length(dic_angles_full)); for i = 1:length(dic_angles_full), A_dic_full(:,i) = gen_a(dic_angles_full(i), par) / sqrt(N_ant); end angle_ranges = {0:1:10, 11:1:20, 21:1:30, 31:1:40}; snr_test_list = [0, 5, 10, 15, 20]; Monte_Carlo = 500; L_snapshots = 100; color_array = {'#0072BD', '#D95319', '#EDB120', '#7E2F8E', '#77AC30'}; disp('正在启动多核并行引擎 (parfor) 进行全空域极速测试...'); for fig_idx = 1:4 test_angles = angle_ranges{fig_idx}; fprintf('\n>>> 正在进行第 %d 张图的并行仿真:扇区 %d° ~ %d° ...\n', fig_idx, min(test_angles), max(test_angles)); RMSE_DFT_All = zeros(length(snr_test_list), length(test_angles)); RMSE_OMP_FULL_All = zeros(length(snr_test_list), length(test_angles)); RMSE_OMP_All = zeros(length(snr_test_list), length(test_angles)); figure('Name', sprintf('扇区 %d°~%d° 测试', min(test_angles), max(test_angles)), 'Color', 'w', 'Position', [50+fig_idx*50, 50+fig_idx*50, 850, 600]); hold on; grid on; for snr_idx = 1:length(snr_test_list) snr_test = snr_test_list(snr_idx); sig_power = 10^(snr_test/10); err_dft = zeros(length(test_angles), Monte_Carlo); err_omp_full = zeros(length(test_angles), Monte_Carlo); err_omp = zeros(length(test_angles), Monte_Carlo); for a_idx = 1:length(test_angles) true_target_angle = test_angles(a_idx) + 0.04; theta_prior = round(true_target_angle); window = 5; dic_tsc = (theta_prior - window) : 0.1 : (theta_prior + window); A_dic_tsc = zeros(N_ant, length(dic_tsc)); for i = 1:length(dic_tsc), A_dic_tsc(:,i) = gen_a(dic_tsc(i), par) / sqrt(N_ant); end angles_dft = linspace(theta_prior - window, theta_prior + window, N_RF); F_RF_dft = zeros(N_ant, N_RF); for i = 1:N_RF, F_RF_dft(:,i) = gen_a(angles_dft(i), par) / sqrt(N_ant); end a_prior_broad = zeros(N_ant, 1); for theta_b = (theta_prior - window) : 0.5 : (theta_prior + window) a_prior_broad = a_prior_broad + gen_a(theta_b, par); end a_prior_broad = a_prior_broad / norm(a_prior_broad); w_dig_prior = inv(R_interference) * a_prior_broad; w_dig_prior = w_dig_prior / norm(w_dig_prior); res_full = w_dig_prior; F_RF_omp_full = []; for k = 1:N_RF proj = A_dic_full' * res_full; [~, midx] = max(abs(proj)); F_RF_omp_full = [F_RF_omp_full, A_dic_full(:, midx)]; res_full = w_dig_prior - F_RF_omp_full * (pinv(F_RF_omp_full)*w_dig_prior); end res_tsc = w_dig_prior; F_RF_omp = []; for k = 1:N_RF proj = A_dic_tsc' * res_tsc; [~, midx] = max(abs(proj)); F_RF_omp = [F_RF_omp, A_dic_tsc(:, midx)]; res_tsc = w_dig_prior - F_RF_omp * (pinv(F_RF_omp)*w_dig_prior); end scan_grid = (theta_prior - window) : 0.01 : (theta_prior + window); % 为 parfor 准备的切片临时变量 err_dft_tmp = zeros(1, Monte_Carlo); err_omp_full_tmp = zeros(1, Monte_Carlo); err_omp_tmp = zeros(1, Monte_Carlo); % 【核心提速】:parfor 多核并行循环! parfor mc = 1:Monte_Carlo s_t = sqrt(sig_power/2)*(randn(1,L_snapshots) + 1j*randn(1,L_snapshots)); s_c = sqrt(INR_linear/2)*(randn(1,L_snapshots) + 1j*randn(1,L_snapshots)); n_t = sqrt(noise_power/2)*(randn(N_ant,L_snapshots) + 1j*randn(N_ant,L_snapshots)); X = gen_a(true_target_angle, par)*s_t + a_clutter*s_c + n_t; Y_dft = F_RF_dft' * X; Y_omp_full = F_RF_omp_full' * X; Y_omp = F_RF_omp' * X; R_dft = (Y_dft*Y_dft')/L_snapshots; R_dft = R_dft + (0.05*trace(R_dft)/N_RF)*eye(N_RF); R_omp_full = (Y_omp_full*Y_omp_full')/L_snapshots; R_omp_full = R_omp_full + (0.05*trace(R_omp_full)/N_RF)*eye(N_RF); R_omp = (Y_omp*Y_omp')/L_snapshots; R_omp = R_omp + (0.05*trace(R_omp)/N_RF)*eye(N_RF); inv_dft = inv(R_dft); inv_full = inv(R_omp_full); inv_tsc = inv(R_omp); P_dft = zeros(1, length(scan_grid)); P_full = zeros(1, length(scan_grid)); P_tsc = zeros(1, length(scan_grid)); for s_idx = 1:length(scan_grid) a_test = gen_a(scan_grid(s_idx), par); P_dft(s_idx) = 1/abs((F_RF_dft'*a_test)'*inv_dft*(F_RF_dft'*a_test)); P_full(s_idx) = 1/abs((F_RF_omp_full'*a_test)'*inv_full*(F_RF_omp_full'*a_test)); P_tsc(s_idx) = 1/abs((F_RF_omp'*a_test)'*inv_tsc*(F_RF_omp'*a_test)); end [~, m1] = max(P_dft); err_dft_tmp(mc) = (scan_grid(m1) - true_target_angle)^2; [~, m2] = max(P_full); err_omp_full_tmp(mc) = (scan_grid(m2) - true_target_angle)^2; [~, m3] = max(P_tsc); err_omp_tmp(mc) = (scan_grid(m3) - true_target_angle)^2; end err_dft(a_idx, :) = err_dft_tmp; err_omp_full(a_idx, :) = err_omp_full_tmp; err_omp(a_idx, :) = err_omp_tmp; end RMSE_DFT_All(snr_idx, :) = sqrt(mean(err_dft, 2))'; RMSE_OMP_FULL_All(snr_idx, :) = sqrt(mean(err_omp_full, 2))'; RMSE_OMP_All(snr_idx, :) = sqrt(mean(err_omp, 2))'; c_str = color_array{snr_idx}; semilogy(test_angles, RMSE_DFT_All(snr_idx, :), '--^', 'Color', c_str, 'LineWidth', 1.5, 'MarkerSize', 5); semilogy(test_angles, RMSE_OMP_FULL_All(snr_idx, :), ':x', 'Color', c_str, 'LineWidth', 2, 'MarkerSize', 7); semilogy(test_angles, RMSE_OMP_All(snr_idx, :), '-o', 'Color', c_str, 'LineWidth', 2.5, 'MarkerSize', 6); end xlim([min(test_angles), max(test_angles)]); xticks(min(test_angles):1:max(test_angles)); set(gca, 'YScale', 'log', 'YMinorGrid', 'on', 'XMinorGrid', 'off', 'FontSize', 12); ylim([1e-3, 20]); yticks(10.^(-3:1:2)); xlabel('目标真实出现角度 \theta (\circ)', 'FontSize', 14, 'FontWeight', 'bold'); ylabel('测角均方根误差 RMSE (\circ)', 'FontSize', 14, 'FontWeight', 'bold'); title(sprintf('宽波束先验引导下,扇区 (%d°~%d°) 动态波门鲁棒性评估', min(test_angles), max(test_angles)), 'FontSize', 15, 'FontWeight', 'bold'); legend_str = {}; for snr_idx = 1:length(snr_test_list) legend_str{end+1} = sprintf('SNR=%ddB, DFT', snr_test_list(snr_idx)); legend_str{end+1} = sprintf('SNR=%ddB, 传统OMP(发散)', snr_test_list(snr_idx)); legend_str{end+1} = sprintf('SNR=%ddB, TSC-OMP(稳健)', snr_test_list(snr_idx)); end lgd = legend(legend_str, 'Location', 'southoutside', 'FontSize', 10); set(lgd, 'NumColumns', 3); end disp('全部四组扇区极速测试完毕!');