import numpy as np import matplotlib.pyplot as plt from scipy import signal from scipy.fft import rfft, irfft from scipy.signal import stft from pyroomacoustics.doa import srp from pyroomacoustics.experimental.localization import tdoa import pyroomacoustics as pra import src.helpers.utils as utils import torch try: import mklfft as fft except ImportError: import numpy.fft as fft def tdoa2(x1, x2, interp=1, fs=1, phat=True, t_max=None): """ This function computes the time difference of arrival (TDOA) of the signal at the two microphones. This in turns is used to infer the direction of arrival (DOA) of the signal. Specifically if s(k) is the signal at the reference microphone and s_2(k) at the second microphone, then for signal arriving with DOA theta we have s_2(k) = s(k - tau) with tau = fs*d*sin(theta)/c where d is the distance between the two microphones and c the speed of sound. We recover tau using the Generalized Cross Correlation - Phase Transform (GCC-PHAT) method. The reference is Knapp, C., & Carter, G. C. (1976). The generalized correlation method for estimation of time delay. Parameters ---------- x1 : nd-array The signal of the reference microphone x2 : nd-array The signal of the second microphone interp : int, optional (default 1) The interpolation value for the cross-correlation, it can improve the time resolution (and hence DOA resolution) fs : int, optional (default 44100 Hz) The sampling frequency of the input signal Return ------ theta : float the angle of arrival (in radian (I think)) pwr : float the magnitude of the maximum cross correlation coefficient delay : float the delay between the two microphones (in seconds) """ # zero padded length for the FFT n = x1.shape[-1] + x2.shape[-1] - 1 if n % 2 != 0: n += 1 # Generalized Cross Correlation Phase Transform # Used to find the delay between the two microphones # up to line 71 X1 = fft.rfft(np.array(x1, dtype=np.float32), n=n, axis=-1) X2 = fft.rfft(np.array(x2, dtype=np.float32), n=n, axis=-1) if phat: X1 /= np.abs(X1) X2 /= np.abs(X2) cc = fft.irfft(X1 * np.conj(X2), n=interp * n, axis=-1) # maximum possible delay given distance between microphones if t_max is None: t_max = n // 2 + 1 # reorder the cross-correlation coefficients cc = np.concatenate((cc[..., -t_max:], cc[..., :t_max]), axis=-1) # import matplotlib.pyplot as plt # t = np.arange(-t_max/fs, (t_max)/fs, 1/fs) * 1e6 # plt.plot(t, cc[15]) # plt.show() # pick max cross correlation index as delay tau = np.argmax(np.abs(cc), axis=-1) tau -= t_max # because zero time is at the center of the array return tau / (fs * interp) from sklearn.utils.extmath import weighted_mode def framewise_gccphat(x, frame_dur, sr, window='tukey'): TMAX = int(round(1e-3 * sr)) frame_width = int(round(frame_dur * sr)) # Total number of frames T = 1 + (x.shape[-1] - 1)// frame_width # Drop samples to get a multiple of frame size if x.shape[-1] % T != 0: x = x[..., -x.shape[-1]%T:] assert x.shape[-1] % T == 0 frames = np.array(np.split(x, T, axis=-1)) window = signal.get_window(window, frame_width) frames = frames * window # Consider only frames that have energy above some threshold (ignore silence) ENERGY_THRESHOLD = 5e-4 frame_energy = np.max(np.mean(frames**2, axis=-1)**0.5, axis=-1) mask = frame_energy > ENERGY_THRESHOLD frames = frames[mask] fw_gccphat = tdoa2(frames[..., 0, :], frames[..., 1, :], fs=sr, t_max=TMAX) # print(mask) # print(fw_gccphat) # print(frame_energy[mask]) itd = weighted_mode(fw_gccphat, frame_energy[mask], axis=-1)[0] return itd[0] def fw_itd_diff(s_est, s_gt, sr, frame_duration=0.25): """ Computes frame-wise delta ITD """ # print("GT") itd_gt = framewise_gccphat(s_gt, frame_duration, sr) * 1e6 # print("GT FW_ITD", itd_gt) # print("EST") itd_est = framewise_gccphat(s_est, frame_duration, sr) * 1e6 # print("EST FW_ITD", itd_est) return np.abs(itd_est - itd_gt) def cal_interaural_error(predictions, targets, sr, debug=False): """Compute ITD and ILD errors input: (1, time, channel, speaker) """ TMAX = int(round(1e-3 * sr)) EPS = 1e-8 s_target = targets[0] # [T,E,C] s_prediction = predictions[0] # [T,E,C] # ITD is computed with generalized cross-correlation phase transform (GCC-PHAT) ITD_target = [ tdoa2( s_target[:, 0, i].cpu().numpy(), s_target[:, 1, i].cpu().numpy(), fs=sr, t_max=TMAX ) * 10 ** 6 for i in range(s_target.shape[-1]) ] if debug: print("TARGET ITD", ITD_target) ITD_prediction = [ tdoa2( s_prediction[:, 0, i].cpu().numpy(), s_prediction[:, 1, i].cpu().numpy(), fs=sr, t_max=TMAX, ) * 10 ** 6 for i in range(s_prediction.shape[-1]) ] if debug: print("PREDICTED ITD", ITD_prediction) ITD_error1 = np.mean( np.abs(np.array(ITD_target) - np.array(ITD_prediction)) ) ITD_error2 = np.mean( np.abs(np.array(ITD_target) - np.array(ITD_prediction)[::-1]) ) ITD_error = min(ITD_error1, ITD_error2) # ILD = 10 * log_10(||s_left||^2 / ||s_right||^2) ILD_target_beforelog = torch.sum(s_target[:, 0] ** 2, dim=0) / ( torch.sum(s_target[:, 1] ** 2, dim=0) + EPS ) ILD_target = 10 * torch.log10(ILD_target_beforelog + EPS) # [C] ILD_prediction_beforelog = torch.sum(s_prediction[:, 0] ** 2, dim=0) / ( torch.sum(s_prediction[:, 1] ** 2, dim=0) + EPS ) ILD_prediction = 10 * torch.log10(ILD_prediction_beforelog + EPS) # [C] ILD_error1 = torch.mean(torch.abs(ILD_target - ILD_prediction)) ILD_error2 = torch.mean(torch.abs(ILD_target - ILD_prediction.flip(0))) ILD_error = min(ILD_error1.item(), ILD_error2.item()) return ITD_error, ILD_error def compute_itd(s_left, s_right, sr, t_max = None): corr = signal.correlate(s_left, s_right) lags = signal.correlation_lags(len(s_left), len(s_right)) corr /= np.max(corr) mid = len(corr)//2 + 1 # print(corr[-t_max:]) cc = np.concatenate((corr[-mid:], corr[:mid])) if t_max is not None: # if False: # print(cc[-t_max:].shape) cc = np.concatenate([cc[-t_max+1:], cc[:t_max+1]]) else: t_max = mid # print("OKKK", cc.shape) # t = np.arange(-t_max/sr, (t_max)/sr, 1/sr) * 1e6 # plt.plot(t, np.abs(cc)) # plt.show() tau = np.argmax(np.abs(cc)) tau -= t_max # tau = lags[x] # print(tau/ sr * 1e6) return tau / sr * 1e6 def compute_doa(mic_pos, s, sr, nfft=2048, num_sources=1): # freq_range = [100, 20000] X = pra.transform.stft.analysis(s.T, nfft, nfft // 2, ) X = X.transpose([2, 1, 0]) algo_names = ['SRP', 'MUSIC', 'FRIDA', 'TOPS', 'WAVES', 'CSSM', 'NormMUSIC'] srp = pra.doa.algorithms['NormMUSIC'](mic_pos.T, sr, nfft, c=343, num_sources=num_sources) srp.locate_sources(X) values = srp.grid.values phi = np.linspace(-np.pi, np.pi, 360) values = np.roll(values, shift=180) # plt.plot(phi * 180 / np.pi, values) # plt.xlim([-90, 90]) # plt.show() peak_idx = 90 + np.argmax(values[90:270]) return phi[peak_idx] def doa_diff(mic_pos, est, gt, sr): doa_est = compute_doa(mic_pos, est, sr) doa_gt = compute_doa(mic_pos, gt, sr) return np.abs(doa_gt - doa_est) def gcc_phat(s_left, s_right, sr): X = rfft(s_left) Y = rfft(s_right) Z = X * np.conj(Y) y = irfft(np.exp(1j * np.angle(Z))) center = (len(y) + 1)//2 y = np.concatenate([y[center:], y[:center]]) lags = (np.linspace(0, len(y), len(y)) - ((len(y) + 1) / 2)) / sr x = np.argmax(y) tau = lags[x] return lags, y def compute_ild(s_left, s_right): sum_sq_left = np.sum(s_left ** 2, axis=-1) sum_sq_right = np.sum(s_right ** 2, axis=-1) # print(sum_sq_left) # print(sum_sq_right) return 10 * np.log10(sum_sq_left / sum_sq_right) def itd_diff(s_est, s_gt, sr): """ Computes the ITD error between model estimate and ground truth input: (*, 2, T), (*, 2, T) """ TMAX = int(round(1e-3 * sr)) itd_est = compute_itd(s_est[..., 0, :], s_est[..., 1, :], sr, TMAX) itd_gt = compute_itd(s_gt[..., 0, :], s_gt[..., 1, :], sr, TMAX) return np.abs(itd_est - itd_gt) def gcc_phat_diff(s_est, s_gt, sr): TMAX = int(round(1e-3 * sr)) itd_est = tdoa2(s_est[..., 0, :], s_est[..., 1, :], fs=sr, t_max=TMAX) itd_gt = tdoa2(s_gt[..., 0, :], s_gt[..., 1, :], fs=sr, t_max=TMAX) return np.abs(itd_est - itd_gt) * 10 ** 6 def ild_diff(s_est, s_gt): """ Computes the ILD error between model estimate and ground truth input: (*, 2, T), (*, 2, T) """ ild_est = compute_ild(s_est[..., 0, :], s_est[..., 1, :]) ild_gt = compute_ild(s_gt[..., 0, :], s_gt[..., 1, :]) return np.abs(ild_est - ild_gt) def si_sdr(estimated_signal, reference_signals, scaling=True): """ This is a scale invariant SDR. See https://arxiv.org/pdf/1811.02508.pdf or https://github.com/sigsep/bsseval/issues/3 for the motivation and explanation Input: estimated_signal and reference signals are (N,) numpy arrays Returns: SI-SDR as scalar """ Rss = np.dot(reference_signals, reference_signals) this_s = reference_signals if scaling: # get the scaling factor for clean sources a = np.dot(this_s, estimated_signal) / Rss else: a = 1 e_true = a * this_s e_res = estimated_signal - e_true Sss = (e_true**2).sum() Snn = (e_res**2).sum() SDR = 10 * np.log10(Sss/Snn) return SDR if __name__ == "__main__": fs = 44100 corners = np.array([[-2, 2], [2, 2], [2, -2], [-2, -2]]).T room = pra.room.Room.from_corners(corners, absorption=1, fs=fs, max_order=1) # x = utils.read_audio_file('outputs/bin_gt.wav', fs) x_gt = utils.read_audio_file('save_examples_few/00622/gt.wav', fs) x_est = utils.read_audio_file('save_examples_few/00622/binaural.wav', fs) # framewise_gccphat(x, 0.25, fs) print(fw_itd_diff(x_est, x_gt, fs)) # x = utils.read_audio_file('save_examples_val/00000/gt.wav', fs) # y = utils.read_audio_file('tests/sample_audio2.wav', fs) # mic_positions = np.array([[0, 0.09], [0, -0.09]]) # room.add_microphone_array(mic_positions.T) # a1 = 50 * np.pi / 180 # a2 = 60 * np.pi / 180 # s1 = np.array([np.cos(a1), np.sin(a1)]) # room.add_source(s1, signal=x) # # s2 = np.array([np.cos(a2), np.sin(a2)]) # # room.add_source(s2, signal=y) # room.simulate() # s = room.mic_array.signals # (M, T) # s = s.transpose() # (T, M) # s = np.reshape(s, (1, *s.shape, 1)) # s_est = s.copy() + np.random.normal(0, 1e-2, s.shape) # s_est[0, :, 0, 0] = np.roll(s_est[0, : , 0, 0], shift=222) # s = torch.from_numpy(s) # s_est = torch.from_numpy(s_est) # # itd_error, ild_error = cal_interaural_error(s_est, s, fs) # # print('ITD', itd_error) # # print('ILD', ild_error) # itd_error = itd_diff(s_est, s, fs) # print('ITD', itd_error) # doa = compute_doa(mic_positions, s, fs, num_sources=2) # print(doa * 180 / np.pi) # x = np.array([x[0], x[0]]) # x[0] = np.roll(x[0], shift=2) * 0.5 # # np.random.seed(0) # x = x + np.random.normal(loc=0, scale=1e-2, size=x.shape) # x = x[:, 140000:140000 + 190000] # x = x # fig, ax = plt.subplots() # ax.plot(x[0]) # ax.plot(x[1]) # tdoa2(x[0, :], x[1, :], fs=fs, t_max=44) # utils.write_audio_file('gcc.wav', x, fs) # tau = compute_itd(x, y, 44100) # # print(tau) # lags, z = gcc_phat(x, y, 44100) # plt.plot(t, x) # plt.plot(t, y) # plt.plot(lags, z) # plt.grid() # plt.show()