From e9e142203eefd21cb4e010b6c8dbea094687fd75 Mon Sep 17 00:00:00 2001 From: david1465833828 Date: Sun, 26 Apr 2026 13:23:38 +0800 Subject: [PATCH] =?UTF-8?q?=E4=B8=8A=E4=BC=A0=E6=96=87=E4=BB=B6=E8=87=B3?= =?UTF-8?q?=E3=80=8CGraduation=20Design=E3=80=8D?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- Graduation Design/AI_Beam_Tracking.gif | Bin 0 -> 3945696 bytes Graduation Design/RMSE_Test_nula.py | 156 +++++++++++++ Graduation Design/TSC-DL-Animation.py | 148 +++++++++++++ Graduation Design/TSC-DL.py | 153 +++++++++++++ Graduation Design/main_nula.py | 292 +++++++++++++++++++++++++ 5 files changed, 749 insertions(+) create mode 100644 Graduation Design/AI_Beam_Tracking.gif create mode 100644 Graduation Design/RMSE_Test_nula.py create mode 100644 Graduation Design/TSC-DL-Animation.py create mode 100644 Graduation Design/TSC-DL.py create mode 100644 Graduation Design/main_nula.py diff --git a/Graduation Design/AI_Beam_Tracking.gif 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zF)u$eH0y_spfEzHuLXOoQP`jwEXiN_50&b%X?%dxN_v3PW$SN{92s3Ur$FVNrw~NMrL# z*R)Nu*ijgldmIEh9!eaj&)(j&P}em0AT3d7aY@&2QfTu+$na1QYTn{#3CxuHFcKiec06WG bs', A_eff.conj().T, inv_R, A_eff)) + return np.sqrt(np.mean(((scan_grid[torch.argmax(P, dim=1)] - true_target_angle)**2).cpu().numpy())) + + RMSE_DFT_All[snr_idx, a_idx] = process_hybrid(F_RF_dft, A_eff_dft) + RMSE_FULL_All[snr_idx, a_idx] = process_hybrid(F_RF_full, A_eff_full) + RMSE_TSC_All[snr_idx, a_idx] = process_hybrid(F_RF_tsc, A_eff_tsc) + + c_str = colors[snr_idx] + lbl_suffix = f" (SNR={snr_dB}dB)" + ax.semilogy(test_angles, RMSE_DFT_All[snr_idx, :], '--^', color=c_str, linewidth=1.5, label='DFT'+lbl_suffix) + ax.semilogy(test_angles, RMSE_FULL_All[snr_idx, :], ':x', color=c_str, linewidth=2, label='传统OMP'+lbl_suffix) + ax.semilogy(test_angles, RMSE_TSC_All[snr_idx, :], '-o', color=c_str, linewidth=2.5, label='TSC-OMP'+lbl_suffix) + + ax.set_xlim([test_angles[0], test_angles[-1]]) + ax.set_xticks(test_angles) + ax.grid(True, which="both", ls="--", alpha=0.5) + ax.set_ylim([1e-3, 20]) + ax.set_xlabel('目标真实出现角度 $\\theta (\\circ)$', fontsize=12, fontweight='bold') + ax.set_ylabel(r'测角 RMSE $(^\circ)$', fontsize=12, fontweight='bold') + ax.set_title(f'宽波束先验引导下,扇区 ({test_angles[0]}°~{test_angles[-1]}°) 鲁棒性评估', fontsize=13, fontweight='bold') + + + # 【修改点 2】:独立设置每张图的图例。 + plt.tight_layout() + fig.subplots_adjust(bottom=0.25) + + # 【关键调整】:将 bbox_to_anchor 的 Y 坐标从 -0.15 提上来,改为 -0.08 + # 这样图例就会离 X 轴更近,避开底部操作条 + ax.legend(loc='upper center', bbox_to_anchor=(0.5, -0.10), ncol=3, fontsize=10) + + # 【修改点 3】:自动保存 + file_name = f'RMSE_Sector_{test_angles[0]}_{test_angles[-1]}.png' + plt.savefig(file_name, dpi=300, bbox_inches='tight') + print(f" 已保存独立图表: {file_name}") + +print(f"全扇区计算完毕!总耗时: {time.time() - start_time:.4f} 秒。") + +# 一次性在屏幕上弹出生成的4张独立图表 +plt.show() \ No newline at end of file diff --git a/Graduation Design/TSC-DL-Animation.py b/Graduation Design/TSC-DL-Animation.py new file mode 100644 index 0000000..5a89563 --- /dev/null +++ b/Graduation Design/TSC-DL-Animation.py @@ -0,0 +1,148 @@ +import torch +import torch.nn as nn +import torch.optim as optim +import numpy as np +import matplotlib.pyplot as plt +import matplotlib.animation as animation +import time + +# ========================================== +# 0. 全局设置 +# ========================================== +plt.rcParams['font.sans-serif'] = ['Microsoft YaHei'] +plt.rcParams['axes.unicode_minus'] = False +device = torch.device("cuda" if torch.cuda.is_available() else "cpu") +print(f"========== 启动 AI 动态追踪生成器 ==========\n使用设备: {device}") + +N_ant, N_RF, d_lambda = 24, 4, 0.5 +noise_power = 1.0 +INR_linear = 10**(30/10) # 30dB 强杂波 + +def gen_a_batch(theta_deg_tensor): + theta_rad = torch.deg2rad(theta_deg_tensor) + n_idx = torch.arange(-(N_ant-1)/2, (N_ant-1)/2 + 0.1, device=device).unsqueeze(0) + phases = 2 * torch.pi * d_lambda * n_idx * torch.sin(theta_rad.unsqueeze(1)) + return torch.exp(1j * phases).unsqueeze(2) + +# ========================================== +# 1. 广域追踪网络 (彻底解决相位死锁) +# ========================================== +class DynamicHBFNet(nn.Module): + def __init__(self): + super().__init__() + self.net = nn.Sequential( + nn.Linear(48, 512), nn.GELU(), + nn.Linear(512, 512), nn.GELU(), + nn.Linear(512, N_ant * N_RF * 2) + ) + + def forward(self, w_opt): + w_flat = w_opt.squeeze(2) + x = torch.cat([w_flat.real, w_flat.imag], dim=1) + out = self.net(x).view(-1, N_ant, N_RF, 2) + complex_out = out[..., 0] + 1j * out[..., 1] + # 严格恒模约束 + F_RF = complex_out / (torch.abs(complex_out) + 1e-8) / np.sqrt(N_ant) + return F_RF + +# ========================================== +# 2. 广域动态特训 +# ========================================== +model = DynamicHBFNet().to(device) +optimizer = optim.Adam(model.parameters(), lr=0.002) + +Batch_Size, Epochs = 500, 10000 + +print("正在对 AI 进行大范围目标与杂波抗干扰特训...") +for epoch in range(Epochs): + model.train() + optimizer.zero_grad() + + # 【动态大扫掠特训】:目标 0~40°,杂波 -20~-3° + theta_t = torch.rand(Batch_Size, device=device) * 40.0 + theta_c = -20.0 + torch.rand(Batch_Size, device=device) * 17.0 + + a_t, a_c = gen_a_batch(theta_t), gen_a_batch(theta_c) + + R_interf = noise_power * torch.eye(N_ant, device=device).unsqueeze(0) + INR_linear * (a_c @ a_c.mH) + w_opt = torch.linalg.pinv(R_interf) @ a_t + w_opt = w_opt / torch.norm(w_opt, dim=1, keepdim=True) + + F_RF = model(w_opt) + F_BB = torch.linalg.pinv(F_RF.mH @ F_RF + 1e-3*torch.eye(N_RF, device=device).unsqueeze(0)) @ (F_RF.mH @ w_opt) + w_ai = F_RF @ F_BB + w_ai = w_ai / torch.norm(w_ai, dim=1, keepdim=True) + + sim = torch.abs(torch.sum(w_opt.conj() * w_ai, dim=(1,2)))**2 + loss_sim = torch.mean(1.0 - sim) + loss_null = torch.mean(torch.abs(torch.sum(a_c.conj() * w_ai, dim=(1,2)))**2) + + loss = loss_sim + 150.0 * loss_null + loss.backward() + optimizer.step() + +print("特训完成!正在生成实时追踪 GIF 动图...") + +# ========================================== +# 3. 生成精美动态 GIF +# ========================================== +model.eval() +theta_scan = torch.arange(-60, 60.1, 0.5, device=device) # 限制扫描角度让图像更聚焦 +A_scan = gen_a_batch(theta_scan).squeeze(2).T + +fig, ax = plt.subplots(figsize=(10, 6)) +ax.set_xlim(-60, 60) +ax.set_ylim(-60, 0) +ax.set_xlabel('角度 θ (°)', fontsize=12, fontweight='bold') +ax.set_ylabel('归一化增益 (dB)', fontsize=12, fontweight='bold') +ax.grid(True, ls='--') + +line_opt, = ax.plot([], [], 'k-', lw=2, alpha=0.5, label='纯数字最优下限') +line_ai, = ax.plot([], [], color='#D95319', ls='--', lw=2.5, label='AI 瞬时感知混合波束') +vline_t = ax.axvline(0, color='g', ls='-.', lw=2, label='机动目标轨迹') +vline_c = ax.axvline(0, color='r', ls='-.', lw=2, label='强杂波轨迹') + +title_text = ax.set_title('', fontsize=14, fontweight='bold') +ax.legend(loc='lower center', fontsize=10) + +frames_count = 60 # 60帧平滑过渡 + +def update(frame): + # 目标从 0 匀速扫到 40 + t_ang = 0.0 + frame * (40.0 / (frames_count - 1)) + # 杂波从 -3 匀速扫到 -20 + c_ang = -3.0 - frame * (17.0 / (frames_count - 1)) + + a_t = gen_a_batch(torch.tensor([t_ang], device=device)) + a_c = gen_a_batch(torch.tensor([c_ang], device=device)) + R_interf = noise_power * torch.eye(N_ant, device=device).unsqueeze(0) + INR_linear * (a_c @ a_c.mH) + + w_opt = torch.linalg.pinv(R_interf) @ a_t + w_opt /= torch.norm(w_opt, dim=1, keepdim=True) + + # AI 仅凭一次前向传播,瞬间生成波束! + with torch.no_grad(): + F_RF = model(w_opt) + F_BB = torch.linalg.pinv(F_RF.mH @ F_RF + 1e-3*torch.eye(N_RF, device=device).unsqueeze(0)) @ (F_RF.mH @ w_opt) + w_ai = F_RF @ F_BB + w_ai /= torch.norm(w_ai, dim=1, keepdim=True) + + gain_opt = torch.abs(torch.sum(w_opt.conj() * A_scan.unsqueeze(0), dim=1))**2 + bp_opt = 10 * torch.log10(gain_opt).cpu().numpy().flatten() + bp_opt -= np.max(bp_opt) + + gain_ai = torch.abs(torch.sum(w_ai.conj() * A_scan.unsqueeze(0), dim=1))**2 + bp_ai = 10 * torch.log10(gain_ai).cpu().numpy().flatten() + bp_ai -= np.max(bp_ai) + + line_opt.set_data(theta_scan.cpu().numpy(), bp_opt) + line_ai.set_data(theta_scan.cpu().numpy(), bp_ai) + vline_t.set_xdata([t_ang, t_ang]) + vline_c.set_xdata([c_ang, c_ang]) + + title_text.set_text(f'AI 端到端波束实时追踪: 目标 {t_ang:.1f}° | 强杂波 {c_ang:.1f}°') + return line_opt, line_ai, vline_t, vline_c, title_text + +# 渲染动图 +anim = animation.FuncAnimation(fig, update, frames=frames_count, interval=100, blit=False) +anim.save('E:\\Coding\\graduation design\\MIMO_Beamforming_Simulation_Platform\\final\\python\\Deeplearning\\AI_Beam_Tracking.gif', writer='pillow', fps=10) \ No newline at end of file diff --git a/Graduation Design/TSC-DL.py b/Graduation Design/TSC-DL.py new file mode 100644 index 0000000..a19dbeb --- /dev/null +++ b/Graduation Design/TSC-DL.py @@ -0,0 +1,153 @@ +import torch +import torch.nn as nn +import torch.optim as optim +import numpy as np +import matplotlib.pyplot as plt +import time + +# ========================================== +# 0. 全局设置 (对标你的 -35° 强杂波挑战) +# ========================================== +plt.rcParams['font.sans-serif'] = ['Microsoft YaHei'] +plt.rcParams['axes.unicode_minus'] = False +device = torch.device("cuda" if torch.cuda.is_available() else "cpu") +print(f"========== 启动 TSC-DL 扇区聚焦引擎 ==========\n使用设备: {device}") + +N_ant, N_RF, d_lambda = 24, 4, 0.5 +noise_power = 1.0 +INR_linear = 10**(30/10) # 30dB 强杂波 + +#核心测试场景 +test_t_ang, test_c_ang = 15.0, -25.0 + +def gen_a_batch(theta_deg_tensor): + theta_rad = torch.deg2rad(theta_deg_tensor) + n_idx = torch.arange(-(N_ant-1)/2, (N_ant-1)/2 + 0.1, device=device).unsqueeze(0) + phases = 2 * torch.pi * d_lambda * n_idx * torch.sin(theta_rad.unsqueeze(1)) + return torch.exp(1j * phases).unsqueeze(2) + +# ========================================== +# 1. 复数域正交网络 (彻底消灭相位梯度死锁) +# ========================================== +class SectorHBFNet(nn.Module): + def __init__(self): + super().__init__() + self.net = nn.Sequential( + nn.Linear(48, 512), nn.GELU(), + nn.Linear(512, 512), nn.GELU(), + # 【核心架构升级】:不直接输出相位!输出复数的实部和虚部 (2个通道) + nn.Linear(512, N_ant * N_RF * 2) + ) + + def forward(self, w_opt): + w_flat = w_opt.squeeze(2) + x = torch.cat([w_flat.real, w_flat.imag], dim=1) + out = self.net(x).view(-1, N_ant, N_RF, 2) + + complex_out = out[..., 0] + 1j * out[..., 1] + # 【物理强制约束】:将复数除以自身的模长,绝对精准地满足恒模约束,且梯度无比丝滑! + F_RF = complex_out / (torch.abs(complex_out) + 1e-8) / np.sqrt(N_ant) + return F_RF + +# ========================================== +# 2. TSC-DL 扇区聚焦训练 +# ========================================== +model = SectorHBFNet().to(device) +optimizer = optim.Adam(model.parameters(), lr=0.002) + +Batch_Size, Epochs = 500, 1500 #训练次数 +loss_history = [] + +print("启动 TSC-DL 训练") +start_time = time.time() +for epoch in range(Epochs): + model.train() + optimizer.zero_grad() + + # 【与 TSC-OMP 呼应的核心逻辑】:扇区聚焦训练! + # 不再全空域瞎猜,而是在目标和杂波的局部战术扇区(±3°)内生成海量数据进行特训 + theta_t = test_t_ang + (torch.rand(Batch_Size, device=device) - 0.5) * 6.0 + theta_c = test_c_ang + (torch.rand(Batch_Size, device=device) - 0.5) * 6.0 + + a_t, a_c = gen_a_batch(theta_t), gen_a_batch(theta_c) + + # 构建纯净的基准协方差矩阵 + R_interf = noise_power * torch.eye(N_ant, device=device).unsqueeze(0) + INR_linear * (a_c @ a_c.mH) + w_opt = torch.linalg.pinv(R_interf) @ a_t + w_opt = w_opt / torch.norm(w_opt, dim=1, keepdim=True) + + F_RF = model(w_opt) + F_BB = torch.linalg.pinv(F_RF.mH @ F_RF + 1e-3*torch.eye(N_RF, device=device).unsqueeze(0)) @ (F_RF.mH @ w_opt) + w_ai = F_RF @ F_BB + w_ai = w_ai / torch.norm(w_ai, dim=1, keepdim=True) + + # 波束相似度 + sim = torch.abs(torch.sum(w_opt.conj() * w_ai, dim=(1,2)))**2 + loss_sim = torch.mean(1.0 - sim) + # 杂波方向绝对抑制 + loss_null = torch.mean(torch.abs(torch.sum(a_c.conj() * w_ai, dim=(1,2)))**2) + + # 【重拳出击】:给予杂波方向 150 倍的极限死亡惩罚!逼迫 AI 挖出深坑! + loss = loss_sim + 150.0 * loss_null + loss.backward() + optimizer.step() + loss_history.append(loss.item()) + +print(f"训练完成!耗时: {time.time() - start_time:.2f} 秒\n") + +# ========================================== +# 3. 静态成果检验:生成完美的波束方向图 +# ========================================== +print(f"正在生成目标 {test_t_ang}°,强杂波 {test_c_ang}° 的终极抗干扰方向图...") +theta_scan = torch.arange(-90, 90.1, 0.1, device=device) +A_scan = gen_a_batch(theta_scan).squeeze(2).T + +a_t_stat = gen_a_batch(torch.tensor([test_t_ang], device=device)) +a_c_stat = gen_a_batch(torch.tensor([test_c_ang], device=device)) +R_interf_stat = noise_power * torch.eye(N_ant, device=device).unsqueeze(0) + INR_linear * (a_c_stat @ a_c_stat.mH) + +with torch.no_grad(): + model.eval() + w_opt_stat = torch.linalg.pinv(R_interf_stat) @ a_t_stat + w_opt_stat /= torch.norm(w_opt_stat, dim=1, keepdim=True) + + F_RF_stat = model(w_opt_stat) + F_BB_stat = torch.linalg.pinv(F_RF_stat.mH @ F_RF_stat + 1e-3*torch.eye(N_RF, device=device).unsqueeze(0)) @ (F_RF_stat.mH @ w_opt_stat) + w_ai_stat = F_RF_stat @ F_BB_stat + w_ai_stat /= torch.norm(w_ai_stat, dim=1, keepdim=True) + + # 极简且精准的点乘测向 + gain_dig = torch.abs(torch.sum(w_opt_stat.conj() * A_scan.unsqueeze(0), dim=1))**2 + BP_dig = 10 * torch.log10(gain_dig).cpu().numpy().flatten() + BP_dig -= np.max(BP_dig) + + gain_ai = torch.abs(torch.sum(w_ai_stat.conj() * A_scan.unsqueeze(0), dim=1))**2 + BP_ai = 10 * torch.log10(gain_ai).cpu().numpy().flatten() + BP_ai -= np.max(BP_ai) + +# ========================================== +# 4. 绘制终极展示双图 +# ========================================== +fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(14, 5)) + +ax1.plot(loss_history, color='#0072BD', linewidth=2) +ax1.set_title('扇区聚焦网络 (TSC-DL) 极限优化损失曲线', fontweight='bold', fontsize=12) +ax1.set_xlabel('迭代轮数 (Epochs)') +ax1.set_ylabel('联合 Loss') +ax1.grid(True, ls='--') + +ax2.plot(theta_scan.cpu().numpy(), BP_dig, color='#000000', linestyle='-', linewidth=2, alpha=0.5, label='纯数字理想波束') +ax2.plot(theta_scan.cpu().numpy(), BP_ai, color='#D95319', linestyle='--', linewidth=2.5, label='扇区聚焦 AI 混合波束') +ax2.axvline(test_t_ang, color='g', linestyle='-.', label=f'机动目标 ({test_t_ang}°)') +ax2.axvline(test_c_ang, color='r', linestyle='-.', label=f'强杂波 ({test_c_ang}°)') +ax2.set_ylim([-60, 0]) +ax2.set_xlim([-60, 60]) +ax2.set_title(f'深度学习端到端波束响应 (目标 {test_t_ang}° 杂波 {test_c_ang}° )', fontweight='bold', fontsize=12) +ax2.set_xlabel('角度 θ (°)') +ax2.set_ylabel('归一化增益 (dB)') +ax2.grid(True, ls='--') +ax2.legend(loc='lower center', fontsize=10) + +plt.tight_layout() +plt.savefig('DL_Sector_Focus_Final.png', dpi=300) +plt.show() \ No newline at end of file diff --git a/Graduation Design/main_nula.py b/Graduation Design/main_nula.py new file mode 100644 index 0000000..292a38b --- /dev/null +++ b/Graduation Design/main_nula.py @@ -0,0 +1,292 @@ +import torch +import numpy as np +import matplotlib.pyplot as plt +import time + +# ========================================== +# 0. 全局设置与 CUDA 引擎 +# ========================================== +plt.rcParams['axes.unicode_minus'] = False +plt.rcParams['font.sans-serif'] = ['Microsoft YaHei'] +device = torch.device("cuda" if torch.cuda.is_available() else "cpu") + +# 锁定随机数种子,对标 MATLAB 的 rng(2024) +torch.manual_seed(2024) +np.random.seed(2024) + +# 颜色设置对标 MATLAB +c_ana = '#77AC30' +c_dig = '#000000' +c_dft = '#4DBEEE' +c_omp = '#D95319' +c_tsc = '#0072BD' + +# ========================================== +# 1. 物理层参数初始化 (对标 setpar.m) +# ========================================== +N_ant, N_RF = 24, 4 +target_angle = 5.0 +clutter_angle = -15.0 +L_snapshots = 100 +noise_power = 1.0 +INR_linear = 10**(30/10) + +fc = 4.9e9 +lam = 3e8 / fc +# 完全复刻 MATLAB 中的非均匀阵列 (NULA) 物理间隔 +a = np.arange(0, 11*43 + 1, 43) +b = np.array([11*43 + 63]) +c = 11*43 + 63 + np.arange(43, 11*43 + 1, 43) +delta_d = 1e-3 * np.concatenate((a, b, c)) # Shape: (24,) +delta_d_tensor = torch.tensor(delta_d, dtype=torch.float32, device=device).unsqueeze(1) # Shape: (24, 1) + +def gen_a(theta_deg): + """对标 gen_a.m, 注意此处的 -1j 以及物理位置 delta_d""" + theta_rad = torch.deg2rad(torch.tensor(theta_deg, dtype=torch.float32, device=device)) + return torch.exp(-1j * 2 * torch.pi * delta_d_tensor * torch.sin(theta_rad) / lam) + +a_target = gen_a(target_angle) +a_clutter = gen_a(clutter_angle) + +# ========================================== +# 2. 动态生成目标约束扇区与字典 +# ========================================== +theta_coarse_prior = round(target_angle) +window_half_width = 5.0 + +dic_angles_constrained = torch.arange(theta_coarse_prior - window_half_width, theta_coarse_prior + window_half_width + 0.1, 0.1, device=device) +A_dic_constrained = torch.cat([gen_a(th) / np.sqrt(N_ant) for th in dic_angles_constrained], dim=1) + +dic_angles_full = torch.arange(-90, 90.5, 0.5, device=device) +A_dic_full = torch.cat([gen_a(th) / np.sqrt(N_ant) for th in dic_angles_full], dim=1) + +angles_dft = torch.linspace(theta_coarse_prior - window_half_width, theta_coarse_prior + window_half_width, N_RF, device=device) +F_RF_dft = torch.cat([gen_a(th) / np.sqrt(N_ant) for th in angles_dft], dim=1) + +# ========================================== +# 3. 提取防发散的慢时间先验射频矩阵 F_RF +# ========================================== +print('正在进行慢时间 (Slow-Time) 模拟射频网络硬件配置...') +a_prior_broad = torch.zeros((N_ant, 1), dtype=torch.complex64, device=device) +for theta_b in torch.arange(theta_coarse_prior - window_half_width, theta_coarse_prior + window_half_width + 0.1, 0.5, device=device): + a_prior_broad += gen_a(theta_b) +a_prior_broad /= torch.norm(a_prior_broad) + +R_interference_prior = noise_power * torch.eye(N_ant, device=device) + INR_linear * (a_clutter @ a_clutter.mH) +w_digital_prior = torch.linalg.inv(R_interference_prior) @ a_prior_broad +w_digital_prior /= torch.norm(w_digital_prior) + +def extract_omp(w_opt, A_dic): + res = w_opt.clone() + F_RF_mat = None + for k in range(N_RF): + proj = A_dic.mH @ res + idx = torch.argmax(torch.abs(proj)) + new_atom = A_dic[:, idx:idx+1] + F_RF_mat = new_atom if F_RF_mat is None else torch.cat((F_RF_mat, new_atom), dim=1) + res = w_digital_prior - F_RF_mat @ (torch.linalg.pinv(F_RF_mat) @ w_digital_prior) + return F_RF_mat + +F_RF_omp_full_static = extract_omp(w_digital_prior, A_dic_full) +F_RF_omp_static = extract_omp(w_digital_prior, A_dic_constrained) + +# ========================================== +# 4. 计算波束方向图与理论 SINR +# ========================================== +print('正在计算静态波束方向图与理论 SINR...') +w_analog = a_target / np.sqrt(N_ant) + +def calc_hybrid_weight(F_RF, R_in_stat): + a_eff = F_RF.mH @ a_target + R_eff = F_RF.mH @ R_in_stat @ F_RF + R_eff += (0.05 * torch.trace(R_eff).real / N_RF) * torch.eye(N_RF, device=device) + inv_R_eff = torch.linalg.inv(R_eff) + F_BB = (inv_R_eff @ a_eff) / (a_eff.mH @ inv_R_eff @ a_eff) + w_hyb = F_RF @ F_BB + return w_hyb / torch.norm(w_hyb) + + +#随机数 +#sig_power_static = 10**(0/10) +#s_t_st = np.sqrt(sig_power_static/2) * (torch.randn(1, L_snapshots, device=device) + 1j*torch.randn(1, L_snapshots, device=device)) +#s_c_st = np.sqrt(INR_linear/2) * (torch.randn(1, L_snapshots, device=device) + 1j*torch.randn(1, L_snapshots, device=device)) +#n_t_st = np.sqrt(noise_power/2) * (torch.randn(N_ant, L_snapshots, device=device) + 1j*torch.randn(N_ant, L_snapshots, device=device)) +#X_static = a_target @ s_t_st + a_clutter @ s_c_st + n_t_st +#R_in_static = (X_static @ X_static.mH) / L_snapshots + +sig_power_static = 10**(0/10) +# 直接使用无穷大快拍下的理论理想协方差矩阵,消除所有随机扰动 +R_in_static = noise_power * torch.eye(N_ant, device=device) + \ + sig_power_static * (a_target @ a_target.mH) + \ + INR_linear * (a_clutter @ a_clutter.mH) + +w_hybrid_dft = calc_hybrid_weight(F_RF_dft, R_in_static) +w_hybrid_omp_full = calc_hybrid_weight(F_RF_omp_full_static, R_in_static) +w_hybrid_omp = calc_hybrid_weight(F_RF_omp_static, R_in_static) + +R_in_static_dl = R_in_static + (0.01 * torch.trace(R_in_static).real / N_ant) * torch.eye(N_ant, device=device) +inv_R_stat = torch.linalg.inv(R_in_static_dl) +w_digital_ideal = (inv_R_stat @ a_target) / (a_target.mH @ inv_R_stat @ a_target) +w_digital_ideal /= torch.norm(w_digital_ideal) + +theta_scan = torch.arange(-90, 90.1, 0.1, device=device) +A_scan_full = torch.cat([gen_a(th) for th in theta_scan], dim=1) + +def get_bp(w): return 10 * torch.log10((torch.abs(A_scan_full.mH @ w)**2).squeeze() / torch.max(torch.abs(A_scan_full.mH @ w)**2)) +BP_Ana = get_bp(w_analog).cpu().numpy() +BP_Dig = get_bp(w_digital_ideal).cpu().numpy() +BP_DFT = get_bp(w_hybrid_dft).cpu().numpy() +BP_OMP_FULL = get_bp(w_hybrid_omp_full).cpu().numpy() +BP_OMP = get_bp(w_hybrid_omp).cpu().numpy() +theta_scan_np = theta_scan.cpu().numpy() + +SNR_dB_range = np.arange(-10, 22, 2) +SINR_Ana, SINR_Dig, SINR_DFT, SINR_OMP_FULL, SINR_OMP = [], [], [], [], [] +for snr in SNR_dB_range: + sig_p = 10**(snr/10) + def calc_sinr(w): return (sig_p * torch.abs(w.mH @ a_target)**2) / torch.real(w.mH @ R_interference_prior @ w) + SINR_Ana.append(10 * torch.log10(calc_sinr(w_analog)).item()) + SINR_Dig.append(10 * torch.log10(calc_sinr(w_digital_ideal)).item()) + SINR_DFT.append(10 * torch.log10(calc_sinr(w_hybrid_dft)).item()) + SINR_OMP_FULL.append(10 * torch.log10(calc_sinr(w_hybrid_omp_full)).item()) + SINR_OMP.append(10 * torch.log10(calc_sinr(w_hybrid_omp)).item()) + +# ========================================== +# 5. 基于张量 Batch 操作的极致蒙特卡洛评估 +# ========================================== +print('正在启动 CUDA 高维张量批量计算 (Batched Evaluation)...') +Monte_Carlo = 500 +scan_grid = torch.arange(theta_coarse_prior - window_half_width, theta_coarse_prior + window_half_width + 0.01, 0.01, device=device) +A_scan = torch.cat([gen_a(th) for th in scan_grid], dim=1) + +A_eff_dft = F_RF_dft.mH @ A_scan +A_eff_omp_full = F_RF_omp_full_static.mH @ A_scan +A_eff_omp = F_RF_omp_static.mH @ A_scan + +RMSE_Ana, RMSE_Dig, RMSE_DFT, RMSE_OMP_FULL, RMSE_OMP = [], [], [], [], [] +start_time = time.time() + +for snr in SNR_dB_range: + sig_power = 10**(snr/10) + s_t = np.sqrt(sig_power/2) * (torch.randn(Monte_Carlo, 1, L_snapshots, device=device) + 1j*torch.randn(Monte_Carlo, 1, L_snapshots, device=device)) + s_c = np.sqrt(INR_linear/2) * (torch.randn(Monte_Carlo, 1, L_snapshots, device=device) + 1j*torch.randn(Monte_Carlo, 1, L_snapshots, device=device)) + n_t = np.sqrt(noise_power/2) * (torch.randn(Monte_Carlo, N_ant, L_snapshots, device=device) + 1j*torch.randn(Monte_Carlo, N_ant, L_snapshots, device=device)) + + X_mc = a_target.unsqueeze(0) * s_t + a_clutter.unsqueeze(0) * s_c + n_t + R_in = torch.bmm(X_mc, X_mc.mH) / L_snapshots + trace_R_in = torch.diagonal(R_in, dim1=-2, dim2=-1).sum(-1).real + R_in_dl = R_in + (0.05 * trace_R_in / N_ant).view(-1, 1, 1) * torch.eye(N_ant, device=device).unsqueeze(0) + inv_R_in_dl = torch.linalg.inv(R_in_dl) + + P_ana = torch.einsum('si, bij, js -> bs', A_scan.conj().T, R_in, A_scan).abs() + P_dig = torch.einsum('si, bij, js -> bs', A_scan.conj().T, inv_R_in_dl, A_scan).abs() + + def process_hybrid_batched(F_RF, A_eff_hyb): + Y = F_RF.mH.unsqueeze(0) @ X_mc + R_hyb = torch.bmm(Y, Y.mH) / L_snapshots + trace_R = torch.diagonal(R_hyb, dim1=-2, dim2=-1).sum(-1).real + R_hyb += (0.05 * trace_R / N_RF).view(-1, 1, 1) * torch.eye(N_RF, device=device).unsqueeze(0) + inv_R_hyb = torch.linalg.inv(R_hyb) + P_hyb = torch.einsum('si, bij, js -> bs', A_eff_hyb.conj().T, inv_R_hyb, A_eff_hyb).abs() + return scan_grid[torch.argmin(P_hyb, dim=1)] + + ang_ana = scan_grid[torch.argmax(P_ana, dim=1)] + ang_dig = scan_grid[torch.argmin(P_dig, dim=1)] + ang_dft = process_hybrid_batched(F_RF_dft, A_eff_dft) + ang_omp_full = process_hybrid_batched(F_RF_omp_full_static, A_eff_omp_full) + ang_omp = process_hybrid_batched(F_RF_omp_static, A_eff_omp) + + RMSE_Ana.append(torch.sqrt(torch.mean((ang_ana - target_angle)**2)).item()) + RMSE_Dig.append(torch.sqrt(torch.mean((ang_dig - target_angle)**2)).item()) + RMSE_DFT.append(torch.sqrt(torch.mean((ang_dft - target_angle)**2)).item()) + RMSE_OMP_FULL.append(torch.sqrt(torch.mean((ang_omp_full - target_angle)**2)).item()) + RMSE_OMP.append(torch.sqrt(torch.mean((ang_omp - target_angle)**2)).item()) + +print(f"CUDA 并行测角完毕!耗时: {time.time() - start_time:.4f} 秒。") + +# ========================================== +# 6. 绘图:单图输出与汇总输出 +# ========================================== +bp_data = [BP_Ana, BP_Dig, BP_DFT, BP_OMP_FULL, BP_OMP] +bp_labels = ['纯模拟架构', '纯数字架构(性能上限)', 'DFT混合架构', '传统OMP混合架构', 'TSC-OMP混合架构(所提)'] +bp_colors = [c_ana, c_dig, c_dft, c_omp, c_tsc] +bp_ls = ['-.', '-', '--', ':', '-'] + +# 6.1 分别绘制 5 张独立的波束方向图 +for i in range(5): + fig, ax = plt.subplots(figsize=(8, 6)) + ax.plot(theta_scan_np, bp_data[i], color=bp_colors[i], linestyle=bp_ls[i], linewidth=2.5, label='主波束') + ax.axvline(x=target_angle, color='g', linestyle='--', linewidth=2, label=f'机动目标 ({target_angle}°)') + ax.axvline(x=clutter_angle, color='r', linestyle='--', linewidth=2, label=f'强杂波 ({clutter_angle}°)') + ax.set_ylim([-60, 0]) + ax.set_xlim([-60, 60]) + ax.grid(True, linestyle='--', alpha=0.6) + ax.set_title(f'波束方向图 - {bp_labels[i]}', fontsize=14, fontweight='bold') + ax.set_xlabel(r'角度 $\theta (^\circ)$', fontsize=12) + ax.set_ylabel('归一化增益 (dB)', fontsize=12) + + # 调整图例到下方 + plt.tight_layout() + fig.subplots_adjust(bottom=0.22) + ax.legend(loc='upper center', bbox_to_anchor=(0.5, -0.12), ncol=3, fontsize=10) + + file_name = f'BP_Single_{i+1}_{bp_labels[i].split("(")[0]}.png' + plt.savefig(file_name, dpi=300, bbox_inches='tight') + +# 6.2 绘制五大架构综合对比波束图 +fig_all, ax_all = plt.subplots(figsize=(10, 6)) +for i in range(5): + ax_all.plot(theta_scan_np, bp_data[i], color=bp_colors[i], linestyle=bp_ls[i], linewidth=2.5, label=bp_labels[i].split("(")[0]) +ax_all.axvline(x=target_angle, color='g', linestyle='--', linewidth=2) +ax_all.axvline(x=clutter_angle, color='r', linestyle='--', linewidth=2) +ax_all.text(target_angle + 1, -5, f'机动目标 ({target_angle}°)', color='g', fontweight='bold') +ax_all.text(clutter_angle - 1, -5, f'强杂波 ({clutter_angle}°)', color='r', fontweight='bold', ha='right') +ax_all.set_ylim([-60, 0]) +ax_all.set_xlim([-60, 60]) +ax_all.grid(True, linestyle='--', alpha=0.6) +ax_all.set_title('五大架构波束方向图综合对比', fontsize=14, fontweight='bold') +ax_all.set_xlabel(r'角度 $\theta (^\circ)$', fontsize=12) +ax_all.set_ylabel('归一化增益 (dB)', fontsize=12) + +plt.tight_layout() +fig_all.subplots_adjust(bottom=0.22) +ax_all.legend(loc='upper center', bbox_to_anchor=(0.5, -0.12), ncol=5, fontsize=10) +plt.savefig('BP_All_Combined.png', dpi=300, bbox_inches='tight') + +# 6.3 绘制 SINR 对比图 +fig_sinr, ax_sinr = plt.subplots(figsize=(10, 6)) +ax_sinr.plot(SNR_dB_range, SINR_Ana, '-v', color=c_ana, linewidth=2, label='纯模拟') +ax_sinr.plot(SNR_dB_range, SINR_Dig, '-o', color=c_dig, linewidth=2, label='纯数字(上限)') +ax_sinr.plot(SNR_dB_range, SINR_DFT, '-d', color=c_dft, linewidth=2, label='DFT') +ax_sinr.plot(SNR_dB_range, SINR_OMP_FULL, '-*', color=c_omp, linewidth=2, label='传统OMP') +ax_sinr.plot(SNR_dB_range, SINR_OMP, '-s', color=c_tsc, linewidth=2.5, label='TSC-OMP(所提)') +ax_sinr.grid(True, linestyle='--', alpha=0.6) +ax_sinr.set_title(f'全架构输出 SINR 理论逼近测试 (目标 {target_angle}°)', fontsize=14, fontweight='bold') +ax_sinr.set_xlabel('输入 SNR (dB)', fontsize=12) +ax_sinr.set_ylabel('输出 SINR (dB)', fontsize=12) + +plt.tight_layout() +fig_sinr.subplots_adjust(bottom=0.22) +ax_sinr.legend(loc='upper center', bbox_to_anchor=(0.5, -0.12), ncol=5, fontsize=10) +plt.savefig('SINR_All_Combined.png', dpi=300, bbox_inches='tight') + +# 6.4 绘制 RMSE 对比图 +fig_rmse, ax_rmse = plt.subplots(figsize=(10, 6)) +ax_rmse.semilogy(SNR_dB_range, RMSE_Ana, '-.v', color=c_ana, linewidth=2, label='纯模拟') +ax_rmse.semilogy(SNR_dB_range, RMSE_Dig, '-o', color=c_dig, linewidth=2, label='纯数字(上限)') +ax_rmse.semilogy(SNR_dB_range, RMSE_DFT, '--d', color=c_dft, linewidth=2, label='DFT') +ax_rmse.semilogy(SNR_dB_range, RMSE_OMP_FULL, ':*', color=c_omp, linewidth=2.5, label='传统OMP') +ax_rmse.semilogy(SNR_dB_range, RMSE_OMP, '-s', color=c_tsc, linewidth=2.5, label='TSC-OMP (所提)') +ax_rmse.grid(True, which="both", ls="--", alpha=0.6) +ax_rmse.set_ylim([1e-3, 20]) +ax_rmse.set_title(f'全架构实战恶劣环境 DOA 测角精度评估 (机动目标 {target_angle}°)', fontsize=14, fontweight='bold') +ax_rmse.set_xlabel('信噪比 SNR (dB)', fontsize=12) +ax_rmse.set_ylabel(r'测角 RMSE $(^\circ)$', fontsize=12) + +plt.tight_layout() +fig_rmse.subplots_adjust(bottom=0.22) +ax_rmse.legend(loc='upper center', bbox_to_anchor=(0.5, -0.12), ncol=5, fontsize=10) +plt.savefig('RMSE_All_Combined.png', dpi=300, bbox_inches='tight') + +plt.show() +print('计算完毕,单图与综合图表均已独立生成。') \ No newline at end of file

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