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| """ 120GHz FMCW 雷达信号处理链 用于 CPD 和生命体征检测
关键步骤: 1. ADC 采样 → 2. Range-FFT → 3. Doppler-FFT → 4. CFAR 检测 5. 微动提取 → 6. 呼吸/心跳分离 → 7. 生命体征估计 """
import numpy as np from scipy import signal as scipy_signal
class FMCWRadarProcessor: """FMCW 雷达信号处理器""" def __init__(self, freq_center=120e9, bandwidth=10e9, num_chirps=64, samples_per_chirp=256, chirp_time=50e-6, frame_rate=20): self.freq_center = freq_center self.bandwidth = bandwidth self.num_chirps = num_chirps self.samples_per_chirp = samples_per_chirp self.chirp_time = chirp_time self.frame_rate = frame_rate self.wavelength = 3e8 / freq_center self.max_range = 3e8 * chirp_time * self.bandwidth / \ (2 * self.bandwidth) self.range_resolution = 3e8 / (2 * bandwidth) self.max_velocity = self.wavelength / (4 * chirp_time) def range_fft(self, adc_data): """ 距离 FFT 将 ADC 采样数据转换为距离剖面 Args: adc_data: shape=(num_chirps, samples_per_chirp) Returns: range_profile: shape=(num_chirps, samples_per_chirp) """ window = np.hanning(self.samples_per_chirp) windowed = adc_data * window[np.newaxis, :] range_fft = np.fft.fft(windowed, axis=1) range_fft = np.abs(range_fft)[:, :self.samples_per_chirp//2] return range_fft def doppler_fft(self, range_fft): """ 速度 FFT 在距离维度上做 FFT 得到距离-多普勒图 Args: range_fft: shape=(num_chirps, range_bins) Returns: range_doppler: shape=(num_chirps, range_bins) """ window = np.hanning(self.num_chirps) windowed = range_fft * window[:, np.newaxis] doppler_fft = np.fft.fftshift( np.fft.fft(windowed, axis=0), axes=0 ) return np.abs(doppler_fft) def extract_vital_signs(self, range_doppler, target_range_bin=10): """ 生命体征提取 从目标距离bin提取相位信息, 分离呼吸和心跳信号 Args: range_doppler: 距离-多普勒图 target_range_bin: 目标所在的距离bin Returns: breathing_rate: 呼吸频率 (次/分) heart_rate: 心率 (次/分) """ phase_data = np.angle( range_doppler[:, target_range_bin] ) phase_unwrapped = np.unwrap(phase_data) phase_detrended = scipy_signal.detrend(phase_unwrapped) fs = self.frame_rate breathing_band = [0.1, 0.5] b_resp, a_resp = scipy_signal.butter( 4, breathing_band, btype='band', fs=fs ) breathing_signal = scipy_signal.filtfilt( b_resp, a_resp, phase_detrended ) heartbeat_band = [0.8, 2.0] b_heart, a_heart = scipy_signal.butter( 4, heartbeat_band, btype='band', fs=fs ) heartbeat_signal = scipy_signal.filtfilt( b_heart, a_heart, phase_detrended ) def find_dominant_freq(sig, fs): freqs = np.fft.rfftfreq(len(sig), 1/fs) spectrum = np.abs(np.fft.rfft(sig)) dominant_idx = np.argmax(spectrum[1:]) + 1 return freqs[dominant_idx] * 60 breathing_rate = find_dominant_freq( breathing_signal, fs ) heart_rate = find_dominant_freq( heartbeat_signal, fs ) return breathing_rate, heart_rate
if __name__ == "__main__": processor = FMCWRadarProcessor( freq_center=120e9, bandwidth=10e9, num_chirps=64, samples_per_chirp=256, chirp_time=50e-6, frame_rate=20 ) print(f"=== 120GHz FMCW 雷达规格 ===") print(f" 距离分辨率: {processor.range_resolution*1e2:.2f} cm") print(f" 最大探测距离: {processor.max_range:.2f} m") print(f" 最大速度: {processor.max_velocity:.2f} m/s") print(f" 波长: {processor.wavelength*1e3:.2f} mm") duration = 10 num_frames = duration * processor.frame_rate t = np.linspace(0, duration, num_frames) breathing_motion = 2e-3 * np.sin(2*np.pi*0.3*t) heartbeat_motion = 0.3e-3 * np.sin(2*np.pi*1.25*t) noise = 0.1e-3 * np.random.randn(num_frames) phase = (4*np.pi / processor.wavelength) * \ (breathing_motion + heartbeat_motion + noise) adc_data = np.random.randn( processor.num_chirps, processor.samples_per_chirp ) + 1j * np.random.randn( processor.num_chirps, processor.samples_per_chirp ) target_bin = 50 for i in range(processor.num_chirps): adc_data[i, target_bin] = 10 * np.exp(1j * phase[i]) range_fft = processor.range_fft(adc_data) range_doppler = processor.doppler_fft(range_fft) breath_rate, heart_rate = processor.extract_vital_signs( range_doppler, target_range_bin=target_bin ) print(f"\n=== 生命体征检测结果 ===") print(f" 设定呼吸频率: 18 次/分") print(f" 检测呼吸频率: {breath_rate:.1f} 次/分") print(f" 设定心率: 75 次/分") print(f" 检测心率: {heart_rate:.1f} 次/分")
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