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| import numpy as np from scipy.spatial.distance import pdist, squareform
class RecurrenceQuantificationAnalysis: """ 递归量化分析(RQA) 论文方法:非线性动力学分析EEG疲劳特征 捕获传统频谱分析遗漏的时序模式变化 """ def __init__(self, dim: int = 3, delay: int = 5, threshold: float = 0.2): self.dim = dim self.delay = delay self.threshold = threshold def phase_space_reconstruction(self, signal: np.ndarray) -> np.ndarray: """ 相空间重构 Args: signal: [N] 一维EEG信号 Returns: embedded: [N-(dim-1)*delay, dim] 重构相空间 """ N = len(signal) embedded_len = N - (self.dim - 1) * self.delay embedded = np.zeros((embedded_len, self.dim)) for i in range(self.dim): embedded[:, i] = signal[ i * self.delay : i * self.delay + embedded_len ] return embedded def recurrence_matrix(self, signal: np.ndarray) -> np.ndarray: """ 构建递归矩阵 Args: signal: [N] EEG信号 Returns: R: [M, M] 二值递归矩阵 """ embedded = self.phase_space_reconstruction(signal) dist = squareform(pdist(embedded)) max_dist = np.std(signal) * 0.2 R = (dist < max_dist).astype(int) return R def extract_rqa_features(self, signal: np.ndarray) -> dict: """ 提取RQA特征 Returns: features: dict of RQA metrics """ R = self.recurrence_matrix(signal) N = R.shape[0] RR = np.sum(R) / (N * N) diagonal_sum = 0 total_recurrence = np.sum(R) for i in range(-N+1, N): diag = np.diagonal(R, offset=i) if len(diag) > 2: runs = np.diff(np.where(np.diff(diag))[0]) if len(runs) > 0: diagonal_sum += np.sum(runs[runs >= 2] + 1) DET = diagonal_sum / (total_recurrence + 1e-8) diag_lengths = [] for i in range(1, N): diag = np.diagonal(R, offset=i) if np.any(diag): lengths = self._find_runs(diag) diag_lengths.extend(lengths) L = np.mean(diag_lengths) if diag_lengths else 0 if len(diag_lengths) > 1: hist, _ = np.histogram(diag_lengths, bins='auto') p = hist / hist.sum() p = p[p > 0] ENTR = -np.sum(p * np.log2(p)) else: ENTR = 0 vertical_sum = 0 for j in range(N): col = R[:, j] runs = self._find_runs(col) if len(runs) > 0: vertical_sum += np.sum(runs[runs >= 2]) LAM = vertical_sum / (total_recurrence + 1e-8) vert_lengths = [] for j in range(N): col = R[:, j] runs = self._find_runs(col) vert_lengths.extend(runs) TT = np.mean(vert_lengths) if vert_lengths else 0 return { 'RR': RR, 'DET': DET, 'L': L, 'ENTR': ENTR, 'LAM': LAM, 'TT': TT, } def _find_runs(self, binary: np.ndarray) -> list: """找连续1的段长度""" runs = [] count = 0 for v in binary: if v == 1: count += 1 else: if count > 0: runs.append(count) count = 0 if count > 0: runs.append(count) return runs
if __name__ == "__main__": rqa = RecurrenceQuantificationAnalysis(dim=3, delay=5) np.random.seed(42) alert_eeg = np.random.randn(2000) * 0.5 fatigue_eeg = np.sin(2 * np.pi * 6 * np.arange(2000) / 200) * 0.5 fatigue_eeg += np.random.randn(2000) * 0.1 alert_features = rqa.extract_rqa_features(alert_eeg) fatigue_features = rqa.extract_rqa_features(fatigue_eeg) print("清醒EEG RQA特征:") for k, v in alert_features.items(): print(f" {k}: {v:.4f}") print("\n疲劳EEG RQA特征:") for k, v in fatigue_features.items(): print(f" {k}: {v:.4f}") print("\n变化:") for k in alert_features: change = (fatigue_features[k] - alert_features[k]) / alert_features[k] * 100 print(f" {k}: {change:+.1f}%")
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