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| import numpy as np | |
| from pycwt import wavelet | |
| from scipy.interpolate import interp1d | |
| dt = 0.005 | |
| dj = 1 | |
| def convert_continuos_f0(f0): | |
| '''CONVERT F0 TO CONTINUOUS F0 | |
| Args: | |
| f0 (ndarray): original f0 sequence with the shape (T) | |
| Return: | |
| (ndarray): continuous f0 with the shape (T) | |
| ''' | |
| # get uv information as binary | |
| f0 = np.copy(f0) | |
| uv = (f0 == 0).astype(float) | |
| # get start and end of f0 | |
| if (f0 == 0).all(): | |
| print("| all of the f0 values are 0.") | |
| return uv, f0 | |
| start_f0 = f0[f0 != 0][0] | |
| end_f0 = f0[f0 != 0][-1] | |
| # padding start and end of f0 sequence | |
| start_idx = np.where(f0 == start_f0)[0][0] | |
| end_idx = np.where(f0 == end_f0)[0][-1] | |
| f0[:start_idx] = start_f0 | |
| f0[end_idx:] = end_f0 | |
| # get non-zero frame index | |
| nz_frames = np.where(f0 != 0)[0] | |
| # perform linear interpolation | |
| f = interp1d(nz_frames, f0[nz_frames]) | |
| cont_f0 = f(np.arange(0, f0.shape[0])) | |
| return uv, cont_f0 | |
| def get_cont_lf0(f0, frame_period=5.0): | |
| uv, cont_f0_lpf = convert_continuos_f0(f0) | |
| # cont_f0_lpf = low_pass_filter(cont_f0_lpf, int(1.0 / (frame_period * 0.001)), cutoff=20) | |
| cont_lf0_lpf = np.log(cont_f0_lpf) | |
| return uv, cont_lf0_lpf | |
| def get_lf0_cwt(lf0): | |
| ''' | |
| input: | |
| signal of shape (N) | |
| output: | |
| Wavelet_lf0 of shape(10, N), scales of shape(10) | |
| ''' | |
| mother = wavelet.MexicanHat() | |
| s0 = dt * 2 | |
| J = 9 | |
| Wavelet_lf0, scales, _, _, _, _ = wavelet.cwt(np.squeeze(lf0), dt, dj, s0, J, mother) | |
| # Wavelet.shape => (J + 1, len(lf0)) | |
| Wavelet_lf0 = np.real(Wavelet_lf0).T | |
| return Wavelet_lf0, scales | |
| def norm_scale(Wavelet_lf0): | |
| mean = Wavelet_lf0.mean(0)[None, :] | |
| std = Wavelet_lf0.std(0)[None, :] | |
| Wavelet_lf0_norm = (Wavelet_lf0 - mean) / std | |
| return Wavelet_lf0_norm, mean, std | |
| def normalize_cwt_lf0(f0, mean, std): | |
| uv, cont_lf0_lpf = get_cont_lf0(f0) | |
| cont_lf0_norm = (cont_lf0_lpf - mean) / std | |
| Wavelet_lf0, scales = get_lf0_cwt(cont_lf0_norm) | |
| Wavelet_lf0_norm, _, _ = norm_scale(Wavelet_lf0) | |
| return Wavelet_lf0_norm | |
| def get_lf0_cwt_norm(f0s, mean, std): | |
| uvs = list() | |
| cont_lf0_lpfs = list() | |
| cont_lf0_lpf_norms = list() | |
| Wavelet_lf0s = list() | |
| Wavelet_lf0s_norm = list() | |
| scaless = list() | |
| means = list() | |
| stds = list() | |
| for f0 in f0s: | |
| uv, cont_lf0_lpf = get_cont_lf0(f0) | |
| cont_lf0_lpf_norm = (cont_lf0_lpf - mean) / std | |
| Wavelet_lf0, scales = get_lf0_cwt(cont_lf0_lpf_norm) # [560,10] | |
| Wavelet_lf0_norm, mean_scale, std_scale = norm_scale(Wavelet_lf0) # [560,10],[1,10],[1,10] | |
| Wavelet_lf0s_norm.append(Wavelet_lf0_norm) | |
| uvs.append(uv) | |
| cont_lf0_lpfs.append(cont_lf0_lpf) | |
| cont_lf0_lpf_norms.append(cont_lf0_lpf_norm) | |
| Wavelet_lf0s.append(Wavelet_lf0) | |
| scaless.append(scales) | |
| means.append(mean_scale) | |
| stds.append(std_scale) | |
| return Wavelet_lf0s_norm, scaless, means, stds | |
| def inverse_cwt_torch(Wavelet_lf0, scales): | |
| import torch | |
| b = ((torch.arange(0, len(scales)).float().to(Wavelet_lf0.device)[None, None, :] + 1 + 2.5) ** (-2.5)) | |
| lf0_rec = Wavelet_lf0 * b | |
| lf0_rec_sum = lf0_rec.sum(-1) | |
| lf0_rec_sum = (lf0_rec_sum - lf0_rec_sum.mean(-1, keepdim=True)) / lf0_rec_sum.std(-1, keepdim=True) | |
| return lf0_rec_sum | |
| def inverse_cwt(Wavelet_lf0, scales): | |
| # mother = wavelet.MexicanHat() | |
| # lf0_rec_sum = wavelet.icwt(Wavelet_lf0[0].T, scales, dt, dj, mother) | |
| b = ((np.arange(0, len(scales))[None, None, :] + 1 + 2.5) ** (-2.5)) | |
| lf0_rec = Wavelet_lf0 * b | |
| lf0_rec_sum = lf0_rec.sum(-1) | |
| # lf0_rec_sum = lf0_rec_sum[None, ...] | |
| lf0_rec_sum = (lf0_rec_sum - lf0_rec_sum.mean(-1, keepdims=True)) / lf0_rec_sum.std(-1, keepdims=True) | |
| return lf0_rec_sum | |
| def cwt2f0(cwt_spec, mean, std, cwt_scales): | |
| assert len(mean.shape) == 1 and len(std.shape) == 1 and len(cwt_spec.shape) == 3 | |
| import torch | |
| if isinstance(cwt_spec, torch.Tensor): | |
| f0 = inverse_cwt_torch(cwt_spec, cwt_scales) | |
| f0 = f0 * std[:, None] + mean[:, None] | |
| f0 = f0.exp() # [B, T] | |
| else: | |
| f0 = inverse_cwt(cwt_spec, cwt_scales) | |
| f0 = f0 * std[:, None] + mean[:, None] | |
| f0 = np.exp(f0) # [B, T] | |
| return f0 | |