mmWave雷达高精度生命体征检测:DR-MUSIC算法详解

论文来源: Nature Scientific Reports, 2024
核心创新: DR-MUSIC算法抑制呼吸谐波干扰 + 高精度心率检测
应用场景: CPD儿童检测、疲劳监测、健康监护


研究背景

mmWave雷达生命体征检测原理

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┌─────────────────────────────────────────────────────────────────┐
│ FMCW雷达生命体征检测原理 │
├─────────────────────────────────────────────────────────────────┤
│ │
│ 发射天线 ─────► 胸腔表面 │
│ │ │
│ │ 反射 │
│ ▼ │
│ 接收天线 ◄──────┘ │
│ │
│ 胸腔运动: │
│ - 呼吸运动: 0.1-0.5 Hz (6-30 次/分), 振幅 ~4mm │
│ - 心跳运动: 0.8-2.0 Hz (48-120 次/分), 振幅 ~0.5mm │
│ │
│ 微多普勒效应: │
│ Δφ = 4πΔd/λ │
│ 其中 λ = 3.75mm (80GHz雷达) │
│ │
│ 对于4mm呼吸运动: Δφ = 4π×4/3.75 ≈ 13.4 rad │
│ 对于0.5mm心跳: Δφ = 4π×0.5/3.75 ≈ 1.68 rad │
│ │
└─────────────────────────────────────────────────────────────────┘

核心挑战

挑战 描述 影响
呼吸谐波干扰 呼吸谐波掩盖心跳信号 心率检测困难
低信噪比 心跳信号微弱 准确率低
静态杂波 环境反射 干扰目标检测
基线漂移 身体微动 信号失真

信号处理流程

完整流程图

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原始ADC数据


┌───────────────────────────────────────┐
1. 静态杂波消除 │
│ - 相位均值消除法 │
│ - 去除环境静态反射 │
└───────────────────────────────────────┘


┌───────────────────────────────────────┐
2. 目标定位 │
│ - 距离FFT │
│ - 能量累积 │
│ - 确定最优距离门 │
└───────────────────────────────────────┘


┌───────────────────────────────────────┐
3. 相位信息提取 │
│ - 反正切解调 │
│ - 相位展开 │
│ - 基线漂移去除 │
└───────────────────────────────────────┘


┌───────────────────────────────────────┐
4. 呼吸谐波抑制 (DR-MUSIC) │
│ - RLS自适应滤波 │
│ - 相位差分操作 │
│ - MUSIC频谱估计 │
└───────────────────────────────────────┘


┌───────────────────────────────────────┐
5. 频率估计 │
│ - 谱峰搜索 │
│ - 心率/呼吸频率输出 │
└───────────────────────────────────────┘

核心算法实现

1. 静态杂波消除

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"""
静态杂波消除模块
使用相位均值消除法去除环境静态反射
"""

import numpy as np
from typing import Tuple


class StaticClutterRemover:
"""
静态杂波消除器

原理:静态目标的距离不变,相位延迟恒定
方法:计算所有脉冲的平均值,然后相减
"""

def __init__(self):
self.mean_phase = None

def remove_clutter(
self,
adc_data: np.ndarray
) -> np.ndarray:
"""
消除静态杂波

Args:
adc_data: ADC数据, shape=(num_chirps, num_samples)

Returns:
cleaned_data: 去除杂波后的数据
"""
# 计算相位均值
mean_phase = np.mean(adc_data, axis=0)

# 相减消除杂波
cleaned_data = adc_data - mean_phase

return cleaned_data

def remove_clutter_2d(
self,
adc_data: np.ndarray
) -> np.ndarray:
"""
2D杂波消除(多接收通道)

Args:
adc_data: shape=(num_chirps, num_rx, num_samples)

Returns:
cleaned_data: 清理后的数据
"""
# 对每个接收通道独立处理
mean_phase = np.mean(adc_data, axis=0, keepdims=True)
cleaned_data = adc_data - mean_phase

return cleaned_data


# 测试
if __name__ == "__main__":
# 模拟数据
np.random.seed(42)
num_chirps = 256
num_samples = 128

# 静态杂波
static_clutter = 100 * np.exp(1j * 0.5) * np.ones((num_chirps, num_samples))

# 目标信号
target_signal = 10 * np.exp(1j * np.random.randn(num_chirps, num_samples))

# 合成信号
adc_data = static_clutter + target_signal

# 杂波消除
remover = StaticClutterRemover()
cleaned = remover.remove_clutter(adc_data)

print("=== 静态杂波消除测试 ===")
print(f"原始信号幅度: {np.abs(adc_data).mean():.2f}")
print(f"杂波幅度: {np.abs(static_clutter).mean():.2f}")
print(f"目标幅度: {np.abs(target_signal).mean():.2f}")
print(f"清理后幅度: {np.abs(cleaned).mean():.2f}")
print(f"杂波抑制比: {20*np.log10(np.abs(static_clutter).mean()/np.abs(cleaned - target_signal).mean()):.1f} dB")

2. 目标定位与相位提取

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"""
目标定位与相位信息提取
"""

import numpy as np
from scipy import signal
from typing import Tuple, Optional


class TargetLocalizer:
"""
目标定位器

使用距离FFT确定目标位置
"""

def __init__(
self,
sample_rate: float,
bandwidth: float,
num_samples: int
):
"""
Args:
sample_rate: ADC采样率 (Hz)
bandwidth: Chirp带宽 (Hz)
num_samples: 每个Chirp的采样点数
"""
self.sample_rate = sample_rate
self.bandwidth = bandwidth
self.num_samples = num_samples

# 距离分辨率
self.range_resolution = 3e8 / (2 * bandwidth)

def range_fft(
self,
adc_data: np.ndarray
) -> Tuple[np.ndarray, np.ndarray]:
"""
距离FFT

Args:
adc_data: shape=(num_chirps, num_samples)

Returns:
range_profile: 距离剖面
range_bins: 距离bin对应的距离
"""
num_chirps, num_samples = adc_data.shape

# FFT
range_profile = np.fft.fft(adc_data, axis=1)

# 距离轴
range_bins = np.arange(num_samples) * self.range_resolution

return range_profile, range_bins

def find_target_range(
self,
range_profile: np.ndarray
) -> int:
"""
找到目标距离门

使用能量累积方法

Args:
range_profile: shape=(num_chirps, num_samples)

Returns:
target_bin: 目标距离门索引
"""
# 能量累积
energy = np.sum(np.abs(range_profile), axis=0)

# 找最大值
target_bin = np.argmax(energy)

return target_bin


class PhaseExtractor:
"""
相位信息提取器

从雷达信号中提取胸腔振动相位
"""

def __init__(
self,
baseline_window: int = 501
):
"""
Args:
baseline_window: 中值滤波窗口大小
"""
self.baseline_window = baseline_window

def extract_phase(
self,
range_profile: np.ndarray,
target_bin: int
) -> np.ndarray:
"""
提取相位信息

Args:
range_profile: shape=(num_chirps, num_samples)
target_bin: 目标距离门

Returns:
phase: 相位时间序列
"""
# 提取目标位置的复信号
target_signal = range_profile[:, target_bin]

# 反正切解调
phase = np.angle(target_signal)

return phase

def unwrap_phase(
self,
phase: np.ndarray
) -> np.ndarray:
"""
相位展开

将相位从[-π, π]展开到连续值

Args:
phase: 包裹相位

Returns:
unwrapped: 展开后的相位
"""
unwrapped = np.unwrap(phase)
return unwrapped

def remove_baseline_drift(
self,
phase: np.ndarray
) -> np.ndarray:
"""
去除基线漂移

使用中值滤波

Args:
phase: 相位序列

Returns:
corrected: 校正后的相位
"""
from scipy.ndimage import median_filter

# 估计趋势
baseline = median_filter(
phase,
size=self.baseline_window
)

# 去除趋势
corrected = phase - baseline

return corrected


# 测试
if __name__ == "__main__":
# 模拟数据
np.random.seed(42)
num_chirps = 256
num_samples = 128

# 模拟ADC数据
# 目标在距离bin 50
target_bin = 50
adc_data = np.zeros((num_chirps, num_samples), dtype=complex)

# 呼吸信号 (0.3 Hz)
breathing_freq = 0.3
breathing_amplitude = 4 # mm
t = np.arange(num_chirps) / num_chirps # 归一化时间

# 胸腔运动
chest_displacement = breathing_amplitude * np.sin(2 * np.pi * breathing_freq * t)

# 相位变化 (λ = 3.75mm for 80GHz)
wavelength = 3.75 # mm
phase_change = 4 * np.pi * chest_displacement / wavelength

# 构造目标信号
adc_data[:, target_bin] = np.exp(1j * phase_change)

# 目标定位
localizer = TargetLocalizer(
sample_rate=2e6,
bandwidth=4e9,
num_samples=num_samples
)

range_profile, range_bins = localizer.range_fft(adc_data)
detected_bin = localizer.find_target_range(range_profile)

# 相位提取
extractor = PhaseExtractor()
phase = extractor.extract_phase(range_profile, detected_bin)
unwrapped = extractor.unwrap_phase(phase)

print("=== 目标定位与相位提取测试 ===")
print(f"真实目标距离门: {target_bin}")
print(f"检测到的距离门: {detected_bin}")
print(f"相位范围: [{unwrapped.min():.2f}, {unwrapped.max():.2f}] rad")

3. DR-MUSIC算法

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"""
DR-MUSIC: 抑制呼吸谐波的心跳检测算法
核心:RLS自适应滤波 + 相位差分 + MUSIC频谱估计
"""

import numpy as np
from scipy import signal
from scipy.linalg import svd
from typing import Tuple, Optional


class RLSFilter:
"""
RLS自适应滤波器

用于自适应消除呼吸谐波干扰
"""

def __init__(
self,
filter_order: int = 32,
forgetting_factor: float = 0.99,
regularization: float = 1.0
):
"""
Args:
filter_order: 滤波器阶数
forgetting_factor: 遗忘因子
regularization: 正则化参数
"""
self.filter_order = filter_order
self.forgetting_factor = forgetting_factor
self.regularization = regularization

# 初始化
self.weights = np.zeros(filter_order)
self.P = np.eye(filter_order) * regularization
self.x_buffer = np.zeros(filter_order)

def filter(
self,
reference: np.ndarray,
primary: np.ndarray
) -> Tuple[np.ndarray, np.ndarray]:
"""
RLS自适应滤波

Args:
reference: 参考信号(呼吸信号)
primary: 主信号(包含呼吸和心跳)

Returns:
output: 滤波输出
error: 误差信号(心跳成分)
"""
num_samples = len(primary)
output = np.zeros(num_samples)
error = np.zeros(num_samples)

for n in range(num_samples):
# 更新缓冲区
self.x_buffer = np.roll(self.x_buffer, 1)
self.x_buffer[0] = reference[n]

# 滤波输出
output[n] = np.dot(self.weights, self.x_buffer)

# 误差
error[n] = primary[n] - output[n]

# RLS更新
# 增益向量
Px = self.P @ self.x_buffer
k = Px / (self.forgetting_factor + self.x_buffer @ Px)

# 更新权重
self.weights = self.weights + k * error[n]

# 更新逆相关矩阵
self.P = (self.P - np.outer(k, self.x_buffer @ self.P)) / self.forgetting_factor

return output, error


class MUSIC:
"""
MUSIC频谱估计算法

多信号分类算法,用于高精度频率估计
"""

def __init__(
self,
signal_dim: int = 2, # 信号子空间维度
num_freqs: int = 1024
):
"""
Args:
signal_dim: 信号子空间维度
num_freqs: 频率点数
"""
self.signal_dim = signal_dim
self.num_freqs = num_freqs

def estimate(
self,
x: np.ndarray,
sample_rate: float
) -> Tuple[np.ndarray, np.ndarray]:
"""
MUSIC频谱估计

Args:
x: 输入信号
sample_rate: 采样率

Returns:
spectrum: MUSIC伪谱
frequencies: 频率轴
"""
# 构造自相关矩阵
M = len(x) // 2 # 协方差矩阵维度

# Hankel矩阵
R = np.zeros((M, M), dtype=complex)
for i in range(M):
for j in range(M):
if i + j < len(x):
R[i, j] = x[i + j]

# 特征分解
U, s, Vh = svd(R)

# 噪声子空间
noise_subspace = U[:, self.signal_dim:]

# 频率轴
frequencies = np.linspace(0, sample_rate / 2, self.num_freqs)

# MUSIC伪谱
spectrum = np.zeros(self.num_freqs)

for i, f in enumerate(frequencies):
# 频率向量
omega = 2 * np.pi * f / sample_rate
a = np.exp(1j * omega * np.arange(M))

# MUSIC伪谱
denominator = np.sum(np.abs(noise_subspace.conj().T @ a) ** 2)
spectrum[i] = 1.0 / (denominator + 1e-10)

return spectrum, frequencies


class DRMUSIC:
"""
DR-MUSIC算法

结合相位差分、RLS滤波和MUSIC频谱估计
用于高精度心跳检测
"""

def __init__(
self,
rls_order: int = 32,
music_signal_dim: int = 2,
sample_rate: float = 20.0 # Hz (chirp rate)
):
"""
Args:
rls_order: RLS滤波器阶数
music_signal_dim: MUSIC信号子空间维度
sample_rate: 采样率
"""
self.rls_filter = RLSFilter(filter_order=rls_order)
self.music = MUSIC(signal_dim=music_signal_dim)
self.sample_rate = sample_rate

def process(
self,
phase_signal: np.ndarray
) -> Tuple[float, float, dict]:
"""
完整处理流程

Args:
phase_signal: 相位信号

Returns:
heart_rate: 心率 (次/分)
breathing_rate: 呼吸频率 (次/分)
info: 中间信息
"""
info = {}

# 1. 相位差分(增强高频心跳成分)
phase_diff = np.diff(phase_signal)
phase_diff = np.concatenate([[0], phase_diff])

# 2. 分离呼吸和心跳频带
# 呼吸频带: 0.1-0.5 Hz
breathing_band = (0.1, 0.5)
# 心跳频带: 0.8-2.0 Hz
heartbeat_band = (0.8, 2.0)

# 带通滤波提取呼吸信号
sos_breathing = signal.butter(
4,
breathing_band,
btype='band',
fs=self.sample_rate,
output='sos'
)
breathing_signal = signal.sosfilt(sos_breathing, phase_signal)

# 带通滤波提取混合信号
sos_heartbeat = signal.butter(
4,
heartbeat_band,
btype='band',
fs=self.sample_rate,
output='sos'
)
mixed_signal = signal.sosfilt(sos_heartbeat, phase_diff)

# 3. RLS自适应滤波
# 使用呼吸信号作为参考,消除呼吸谐波
_, heartbeat_signal = self.rls_filter.filter(
breathing_signal,
mixed_signal
)

info['breathing_signal'] = breathing_signal
info['heartbeat_signal'] = heartbeat_signal

# 4. MUSIC频谱估计
spectrum, frequencies = self.music.estimate(
heartbeat_signal,
self.sample_rate
)

info['spectrum'] = spectrum
info['frequencies'] = frequencies

# 5. 频率估计
# 心跳频率
heartbeat_mask = (frequencies >= 0.8) & (frequencies <= 2.0)
heartbeat_spectrum = spectrum * heartbeat_mask
heart_freq = frequencies[np.argmax(heartbeat_spectrum)]
heart_rate = heart_freq * 60 # 转换为次/分

# 呼吸频率
breathing_mask = (frequencies >= 0.1) & (frequencies <= 0.5)
breathing_spectrum = spectrum * breathing_mask
breath_freq = frequencies[np.argmax(breathing_spectrum)]
breathing_rate = breath_freq * 60

return heart_rate, breathing_rate, info


# 测试
if __name__ == "__main__":
# 模拟数据
np.random.seed(42)
sample_rate = 20.0 # Hz
duration = 60 # 秒
num_samples = int(duration * sample_rate)

t = np.arange(num_samples) / sample_rate

# 呼吸信号 (0.3 Hz = 18 次/分)
breathing_freq = 0.3
breathing_amplitude = 4.0 # mm
breathing_signal = breathing_amplitude * np.sin(2 * np.pi * breathing_freq * t)

# 心跳信号 (1.2 Hz = 72 次/分)
heartbeat_freq = 1.2
heartbeat_amplitude = 0.5 # mm
heartbeat_signal = heartbeat_amplitude * np.sin(2 * np.pi * heartbeat_freq * t)

# 胸腔总运动
chest_displacement = breathing_signal + heartbeat_signal

# 转换为相位
wavelength = 3.75 # mm
phase_signal = 4 * np.pi * chest_displacement / wavelength

# 添加噪声
noise = 0.1 * np.random.randn(num_samples)
phase_signal = phase_signal + noise

# DR-MUSIC处理
detector = DRMUSIC(sample_rate=sample_rate)
heart_rate, breathing_rate, info = detector.process(phase_signal)

print("=== DR-MUSIC 测试 ===")
print(f"真实心率: {heartbeat_freq * 60:.0f} 次/分")
print(f"检测心率: {heart_rate:.0f} 次/分")
print(f"误差: {abs(heartbeat_freq * 60 - heart_rate):.1f} 次/分")
print()
print(f"真实呼吸频率: {breathing_freq * 60:.0f} 次/分")
print(f"检测呼吸频率: {breathing_rate:.0f} 次/分")
print(f"误差: {abs(breathing_freq * 60 - breathing_rate):.1f} 次/分")

实验结果

测试配置

参数
雷达型号 TI IWR6843BOOST
工作频率 60-64 GHz
带宽 4 GHz
距离分辨率 3.75 cm
采样率 20 Hz
测试距离 0.6 m, 1.0 m

性能对比

方法 心率误差 (次/分) 呼吸频率误差 (次/分)
传统FFT ±5.2 ±2.1
小波变换 ±3.8 ±1.5
EMD分解 ±2.9 ±1.2
DR-MUSIC ±1.2 ±0.8

不同信噪比下的性能

SNR (dB) 心率准确率 呼吸准确率
0 dB 85% 95%
-5 dB 72% 90%
-10 dB 58% 82%

IMS 应用实现

CPD儿童检测模块

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"""
Euro NCAP CPD 儿童检测模块
基于mmWave雷达生命体征检测
"""

import numpy as np
from typing import Tuple, Optional
from dataclasses import dataclass
from enum import Enum


class OccupantType(Enum):
EMPTY = "empty"
ADULT = "adult"
CHILD = "child"
INFANT = "infant"


@dataclass
class VitalSigns:
heart_rate: float # 次/分
breathing_rate: float # 次/分
confidence: float


class CPDmmWaveDetector:
"""
Euro NCAP CPD 检测器

使用mmWave雷达检测儿童生命体征
"""

# 年龄-呼吸频率映射
BREATHING_RANGES = {
'infant': (30, 60), # 婴儿
'child': (20, 30), # 儿童
'adult': (12, 20) # 成人
}

# 年龄-心率映射
HEART_RATE_RANGES = {
'infant': (100, 160),
'child': (80, 120),
'adult': (60, 100)
}

def __init__(
self,
sample_rate: float = 20.0,
min_duration: float = 10.0
):
"""
Args:
sample_rate: 雷达采样率
min_duration: 最小检测时间
"""
self.sample_rate = sample_rate
self.min_duration = min_duration
self.dr_music = DRMUSIC(sample_rate=sample_rate)

def detect(
self,
phase_signal: np.ndarray
) -> Tuple[OccupantType, Optional[VitalSigns]]:
"""
检测乘员类型

Args:
phase_signal: 相位信号

Returns:
occupant_type: 乘员类型
vital_signs: 生命体征
"""
# 检查信号长度
if len(phase_signal) < self.sample_rate * self.min_duration:
return OccupantType.EMPTY, None

# DR-MUSIC处理
try:
heart_rate, breathing_rate, info = self.dr_music.process(phase_signal)
except:
return OccupantType.EMPTY, None

# 计算置信度
spectrum = info.get('spectrum', np.ones(1024))
confidence = np.max(spectrum) / np.mean(spectrum)

vital_signs = VitalSigns(
heart_rate=heart_rate,
breathing_rate=breathing_rate,
confidence=min(confidence / 10, 1.0)
)

# 分类乘员
occupant_type = self._classify(
heart_rate,
breathing_rate
)

return occupant_type, vital_signs

def _classify(
self,
heart_rate: float,
breathing_rate: float
) -> OccupantType:
"""
根据生命体征分类乘员
"""
# 婴儿判断
if (self.BREATHING_RANGES['infant'][0] <= breathing_rate <= self.BREATHING_RANGES['infant'][1] and
self.HEART_RATE_RANGES['infant'][0] <= heart_rate <= self.HEART_RATE_RANGES['infant'][1]):
return OccupantType.INFANT

# 儿童判断
if (self.BREATHING_RANGES['child'][0] <= breathing_rate <= self.BREATHING_RANGES['child'][1] and
self.HEART_RATE_RANGES['child'][0] <= heart_rate <= self.HEART_RATE_RANGES['child'][1]):
return OccupantType.CHILD

# 成人判断
if (self.BREATHING_RANGES['adult'][0] <= breathing_rate <= self.BREATHING_RANGES['adult'][1] and
self.HEART_RATE_RANGES['adult'][0] <= heart_rate <= self.HEART_RATE_RANGES['adult'][1]):
return OccupantType.ADULT

# 边界情况
if breathing_rate > 25: # 高呼吸频率倾向于儿童
return OccupantType.CHILD

return OccupantType.ADULT


# 测试
if __name__ == "__main__":
detector = CPDmmWaveDetector()

# 模拟儿童信号
np.random.seed(42)
sample_rate = 20.0
duration = 30

t = np.arange(int(duration * sample_rate)) / sample_rate

# 儿童信号
child_breathing = 25 * np.sin(2 * np.pi * 0.4 * t) # 24次/分
child_heartbeat = 0.5 * np.sin(2 * np.pi * 1.5 * t) # 90次/分

phase_signal = 4 * np.pi * (child_breathing + child_heartbeat) / 3.75
phase_signal += 0.1 * np.random.randn(len(phase_signal))

# 检测
occupant, vitals = detector.detect(phase_signal)

print("=== CPD儿童检测测试 ===")
print(f"检测结果: {occupant.value}")
if vitals:
print(f"心率: {vitals.heart_rate:.0f} 次/分")
print(f"呼吸频率: {vitals.breathing_rate:.0f} 次/分")
print(f"置信度: {vitals.confidence:.2f}")

总结

维度 内容
核心算法 DR-MUSIC (相位差分 + RLS + MUSIC)
创新点 抑制呼吸谐波干扰,增强心跳信号
精度 心率误差±1.2次/分,呼吸±0.8次/分
硬件 TI IWR6843,60GHz mmWave雷达
IMS应用 CPD儿童检测、疲劳监测、生命体征监护

发布时间: 2026-04-22
标签: #mmWave雷达 #生命体征 #DR-MUSIC #CPD #IMS


mmWave雷达高精度生命体征检测:DR-MUSIC算法详解
https://dapalm.com/2026/04/22/2026-04-22-mmwave-vital-signs-dr-music/
作者
Mars
发布于
2026年4月22日
许可协议