import numpy as np from scipy.interpolate import interp1d import scipy.signal as ss def regular_sample(x, t, t_samples): spline = interp1d(x=t, y=x, bounds_error=False, fill_value=(x[0], x[-1])) result = spline(t_samples) return result def get_latency( x_target, t_target, x_actual, t_actual, t_start=None, t_end=None, resample_dt=1 / 1000, force_positive=False, ): assert len(x_target) == len(t_target) assert len(x_actual) == len(t_actual) if t_start is None: t_start = max(t_target[0], t_actual[0]) if t_end is None: t_end = min(t_target[-1], t_actual[-1]) n_samples = int((t_end - t_start) / resample_dt) t_samples = np.arange(n_samples) * resample_dt + t_start target_samples = regular_sample(x_target, t_target, t_samples) actual_samples = regular_sample(x_actual, t_actual, t_samples) # normalize samples to zero mean unit std mean = np.mean(np.concatenate([target_samples, actual_samples])) std = np.std(np.concatenate([target_samples, actual_samples])) target_samples = (target_samples - mean) / std actual_samples = (actual_samples - mean) / std # cross correlation correlation = ss.correlate(actual_samples, target_samples) lags = ss.correlation_lags(len(actual_samples), len(target_samples)) t_lags = lags * resample_dt latency = None if force_positive: latency = t_lags[np.argmax(correlation[t_lags >= 0])] else: latency = t_lags[np.argmax(correlation)] info = { "t_samples": t_samples, "x_target": target_samples, "x_actual": actual_samples, "correlation": correlation, "lags": t_lags, } return latency, info