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| """ 干涉雷达多特征生命体征签名识别 论文: MDPI Sensors 2026, 26(18), 5724
核心: 四维特征签名 + ML验证 """
import numpy as np import torch import torch.nn as nn import torch.nn.functional as F from scipy import signal as sp_signal from typing import Dict, List, Tuple
class RespiratoryHarmonicFeatures: """ 特征1: 呼吸谐波关系 提取呼吸基频与各次谐波的幅度比、相位差 论文: "respiratory harmonic relationships" """ def __init__(self, num_harmonics: int = 5): self.num_harmonics = num_harmonics def extract(self, chest_signal: np.ndarray, sample_rate: float = 100.0) -> np.ndarray: """ 提取呼吸谐波特征 Args: chest_signal: 胸壁位移信号 sample_rate: 采样率 Returns: features: (num_harmonics * 2,) 谐波幅度比+相位差 """ freqs = np.fft.rfftfreq(len(chest_signal), 1/sample_rate) spectrum = np.fft.rfft(chest_signal) magnitude = np.abs(spectrum) phase = np.angle(spectrum) mask = (freqs >= 0.1) & (freqs <= 0.5) resp_idx = np.argmax(magnitude[mask]) resp_freq = freqs[mask][resp_idx] features = [] for h in range(1, self.num_harmonics + 1): h_freq = resp_freq * h h_idx = np.argmin(np.abs(freqs - h_freq)) amp_ratio = magnitude[h_idx] / (magnitude[np.argmin( np.abs(freqs - resp_freq))] + 1e-8) phase_diff = phase[h_idx] - phase[ np.argmin(np.abs(freqs - resp_freq))] features.extend([amp_ratio, phase_diff]) return np.array(features)
class InterHarmonicConsistency: """ 特征2: 谐波间一致性 评估各次谐波之间的频率关系是否自洽 论文: "inter-harmonic consistency" """ def __init__(self, num_harmonics: int = 5): self.num_harmonics = num_harmonics def extract(self, chest_signal: np.ndarray, sample_rate: float = 100.0) -> np.ndarray: """ 提取谐波间一致性特征 Returns: features: (num_harmonics - 1,) 一致性分数 """ freqs = np.fft.rfftfreq(len(chest_signal), 1/sample_rate) spectrum = np.abs(np.fft.rfft(chest_signal)) mask = (freqs >= 0.1) & (freqs <= 0.5) resp_idx = np.argmax(spectrum[mask]) resp_freq = freqs[mask][resp_idx] features = [] for h in range(2, self.num_harmonics + 1): h_freq = resp_freq * h h_idx = np.argmin(np.abs(freqs - h_freq)) window = max(2, int(0.05 / (freqs[1] - freqs[0]))) local_energy = spectrum[max(0, h_idx-window):h_idx+window+1] peak_prominence = spectrum[h_idx] / (local_energy.mean() + 1e-8) actual_peak = freqs[np.argmax(local_energy)] freq_accuracy = 1 - abs(actual_peak - h_freq) / h_freq features.append(peak_prominence * freq_accuracy) return np.array(features)
class ChestDisplacementSpectral: """ 特征3: 胸壁位移频谱特征 频谱形状、能量分布、峭度等统计量 论文: "chest-displacement spectral characteristics" """ def extract(self, chest_signal: np.ndarray, sample_rate: float = 100.0) -> np.ndarray: """ 提取频谱统计特征 Returns: features: (8,) 频谱统计量 """ spectrum = np.abs(np.fft.rfft(chest_signal)) spectrum_norm = spectrum / (spectrum.sum() + 1e-8) freqs = np.fft.rfftfreq(len(chest_signal), 1/sample_rate) centroid = np.sum(freqs * spectrum_norm) bandwidth = np.sqrt(np.sum(((freqs - centroid) ** 2) * spectrum_norm)) geometric_mean = np.exp(np.mean(np.log(spectrum + 1e-8))) arithmetic_mean = spectrum.mean() flatness = geometric_mean / (arithmetic_mean + 1e-8) kurtosis = np.sum(((freqs - centroid) ** 4) * spectrum_norm) / ( bandwidth ** 4 + 1e-8) low_freq_energy = spectrum[freqs < 1.0].sum() / (spectrum.sum() + 1e-8) high_freq_energy = spectrum[freqs > 1.0].sum() / (spectrum.sum() + 1e-8) total_energy = np.sum(chest_signal ** 2) / len(chest_signal) peak_freq = freqs[np.argmax(spectrum)] return np.array([ centroid, bandwidth, flatness, kurtosis, low_freq_energy, high_freq_energy, total_energy, peak_freq ])
class CardiacMechanicalSignature: """ 特征4: 心机机械信号 从胸壁位移中提取心脏机械活动引起的微弱信号 论文: "radar-derived cardiac mechanical signatures" """ def __init__(self, sample_rate: float = 100.0): self.sample_rate = sample_rate def extract(self, chest_signal: np.ndarray) -> np.ndarray: """ 提取心机机械特征 Returns: features: (6,) 心机机械特征 """ b, a = sp_signal.butter(4, 0.8, btype='high', fs=self.sample_rate) cardiac = sp_signal.filtfilt(b, a, chest_signal) peaks, _ = sp_signal.find_peaks( cardiac, distance=int(0.4 * self.sample_rate), prominence=0.5 * np.std(cardiac) ) if len(peaks) < 3: return np.zeros(6) ibi = np.diff(peaks) / self.sample_rate * 1000 mean_hr = 60 / (np.mean(ibi) / 1000) if np.mean(ibi) > 0 else 0 std_hr = np.std(ibi) hrv_rmssd = np.sqrt(np.mean(np.diff(ibi) ** 2)) hrv_sdnn = np.std(ibi) amplitudes = cardiac[peaks] mean_amp = np.mean(amplitudes) std_amp = np.std(amplitudes) return np.array([ mean_hr, std_hr, hrv_rmssd, hrv_sdnn, mean_amp, std_amp ])
class VitalSignMLValidator(nn.Module): """ 机器学习验证器 将四维特征签名输入ML模型进行人体检测验证 论文: "ML Validation for Privacy-Preserving Human Detection" """ def __init__(self, harmonic_dim: int = 10, consistency_dim: int = 4, spectral_dim: int = 8, cardiac_dim: int = 6, hidden_dim: int = 128): super().__init__() input_dim = harmonic_dim + consistency_dim + spectral_dim + cardiac_dim self.classifier = nn.Sequential( nn.Linear(input_dim, hidden_dim), nn.BatchNorm1d(hidden_dim), nn.ReLU(), nn.Dropout(0.3), nn.Linear(hidden_dim, hidden_dim // 2), nn.BatchNorm1d(hidden_dim // 2), nn.ReLU(), nn.Dropout(0.3), nn.Linear(hidden_dim // 2, 3), ) def forward(self, features: torch.Tensor) -> Dict: """ Args: features: (B, feature_dim) 四维特征签名 Returns: prediction: 人体检测结果 """ logits = self.classifier(features) probs = F.softmax(logits, dim=-1) idx = probs.argmax(dim=-1) labels = ['no_person', 'person_present', 'uncertain'] results = [] for i in range(features.shape[0]): results.append({ 'detection': labels[idx[i].item()], 'confidence': probs[i, idx[i]].item(), 'probabilities': { 'no_person': probs[i, 0].item(), 'person_present': probs[i, 1].item(), 'uncertain': probs[i, 2].item(), } }) return {'results': results}
class InterferometricVitalSignSystem: """ 干涉雷达多特征生命体征签名识别系统 论文: MDPI Sensors 2026, 26(18), 5724 四维特征: 1. 呼吸谐波关系 2. 谐波间一致性 3. 胸壁位移频谱特征 4. 心机机械信号 ML验证: 人体检测+隐私保护 """ def __init__(self): self.harmonic = RespiratoryHarmonicFeatures(num_harmonics=5) self.consistency = InterHarmonicConsistency(num_harmonics=5) self.spectral = ChestDisplacementSpectral() self.cardiac = CardiacMechanicalSignature() self.validator = VitalSignMLValidator() def process(self, radar_signal: np.ndarray, sample_rate: float = 100.0) -> Dict: """ 完整处理流程 Args: radar_signal: 雷达解调后的胸壁位移信号 sample_rate: 采样率 Returns: result: 检测结果+特征签名 """ f1 = self.harmonic.extract(radar_signal, sample_rate) f2 = self.consistency.extract(radar_signal, sample_rate) f3 = self.spectral.extract(radar_signal, sample_rate) f4 = self.cardiac.extract(radar_signal) feature_vector = np.concatenate([f1, f2, f3, f4]) features_tensor = torch.from_numpy(feature_vector).float().unsqueeze(0) with torch.no_grad(): result = self.validator(features_tensor) return { 'detection': result['results'][0], 'feature_signature': { 'harmonic_relations': f1.tolist(), 'inter_harmonic_consistency': f2.tolist(), 'spectral_features': f3.tolist(), 'cardiac_mechanical': f4.tolist(), }, 'feature_dim': len(feature_vector), }
if __name__ == "__main__": np.random.seed(42) torch.manual_seed(42) system = InterferometricVitalSignSystem() sample_rate = 100.0 duration = 30.0 N = int(duration * sample_rate) t = np.arange(N) / sample_rate resp = 6.0 * np.sin(2 * np.pi * 0.25 * t) cardiac = 1.2 * np.sin(2 * np.pi * 1.2 * t) noise = np.random.normal(0, 0.2, N) person_signal = resp + cardiac + noise empty_signal = np.random.normal(0, 0.1, N) print("=" * 60) print("干涉雷达多特征生命体征签名识别测试") print("\n场景1: 有生命体征存在") result1 = system.process(person_signal, sample_rate) print(f" 检测: {result1['detection']['detection']}") print(f" 置信度: {result1['detection']['confidence']:.3f}") print(f" 特征维度: {result1['feature_dim']}") sig = result1['feature_signature'] print(f" 呼吸谐波: {len(sig['harmonic_relations'])}维") print(f" 谐波一致性: {len(sig['inter_harmonic_consistency'])}维") print(f" 频谱特征: {len(sig['spectral_features'])}维") print(f" 心机机械: {len(sig['cardiac_mechanical'])}维") print("\n场景2: 无生命体征") result2 = system.process(empty_signal, sample_rate) print(f" 检测: {result2['detection']['detection']}") print(f" 置信度: {result2['detection']['confidence']:.3f}") print("\n✅ 测试通过")
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