# -*- coding: utf-8 -*- # Copyright 2019 Tomoki Hayashi # MIT License (https://opensource.org/licenses/MIT) """STFT-based Loss modules.""" import torch import torch.nn.functional as F def stft(x, fft_size, hop_size, win_length, window): """Perform STFT and convert to magnitude spectrogram. Args: x (Tensor): Input signal tensor (B, T). fft_size (int): FFT size. hop_size (int): Hop size. win_length (int): Window length. window (str): Window function type. Returns: Tensor: Magnitude spectrogram (B, #frames, fft_size // 2 + 1). """ x_stft = torch.stft(x, fft_size, hop_size, win_length, window.to(x.device)) real = x_stft[..., 0] imag = x_stft[..., 1] # NOTE(kan-bayashi): clamp is needed to avoid nan or inf return torch.sqrt(torch.clamp(real ** 2 + imag ** 2, min=1e-7)).transpose(2, 1) class SpectralConvergengeLoss(torch.nn.Module): """Spectral convergence loss module.""" def __init__(self): """Initilize spectral convergence loss module.""" super(SpectralConvergengeLoss, self).__init__() def forward(self, x_mag, y_mag): """Calculate forward propagation. Args: x_mag (Tensor): Magnitude spectrogram of predicted signal (B, #frames, #freq_bins). y_mag (Tensor): Magnitude spectrogram of groundtruth signal (B, #frames, #freq_bins). Returns: Tensor: Spectral convergence loss value. """ return torch.norm(y_mag - x_mag, p="fro") / torch.norm(y_mag, p="fro") class LogSTFTMagnitudeLoss(torch.nn.Module): """Log STFT magnitude loss module.""" def __init__(self): """Initilize los STFT magnitude loss module.""" super(LogSTFTMagnitudeLoss, self).__init__() def forward(self, x_mag, y_mag): """Calculate forward propagation. Args: x_mag (Tensor): Magnitude spectrogram of predicted signal (B, #frames, #freq_bins). y_mag (Tensor): Magnitude spectrogram of groundtruth signal (B, #frames, #freq_bins). Returns: Tensor: Log STFT magnitude loss value. """ return F.l1_loss(torch.log(y_mag), torch.log(x_mag)) class STFTLoss(torch.nn.Module): """STFT loss module.""" def __init__(self, fft_size=1024, shift_size=120, win_length=600, window="hann_window"): """Initialize STFT loss module.""" super(STFTLoss, self).__init__() self.fft_size = fft_size self.shift_size = shift_size self.win_length = win_length self.window = getattr(torch, window)(win_length) self.spectral_convergenge_loss = SpectralConvergengeLoss() self.log_stft_magnitude_loss = LogSTFTMagnitudeLoss() def forward(self, x, y): """Calculate forward propagation. Args: x (Tensor): Predicted signal (B, T). y (Tensor): Groundtruth signal (B, T). Returns: Tensor: Spectral convergence loss value. Tensor: Log STFT magnitude loss value. """ x_mag = stft(x, self.fft_size, self.shift_size, self.win_length, self.window) y_mag = stft(y, self.fft_size, self.shift_size, self.win_length, self.window) sc_loss = self.spectral_convergenge_loss(x_mag, y_mag) mag_loss = self.log_stft_magnitude_loss(x_mag, y_mag) return sc_loss, mag_loss class MultiResolutionSTFTLoss(torch.nn.Module): """Multi resolution STFT loss module.""" def __init__(self, fft_sizes=[1024, 2048, 512], hop_sizes=[120, 240, 50], win_lengths=[600, 1200, 240], window="hann_window"): """Initialize Multi resolution STFT loss module. Args: fft_sizes (list): List of FFT sizes. hop_sizes (list): List of hop sizes. win_lengths (list): List of window lengths. window (str): Window function type. """ super(MultiResolutionSTFTLoss, self).__init__() assert len(fft_sizes) == len(hop_sizes) == len(win_lengths) self.stft_losses = torch.nn.ModuleList() for fs, ss, wl in zip(fft_sizes, hop_sizes, win_lengths): self.stft_losses += [STFTLoss(fs, ss, wl, window)] def forward(self, x, y): """Calculate forward propagation. Args: x (Tensor): Predicted signal (B, T). y (Tensor): Groundtruth signal (B, T). Returns: Tensor: Multi resolution spectral convergence loss value. Tensor: Multi resolution log STFT magnitude loss value. """ sc_loss = 0.0 mag_loss = 0.0 for f in self.stft_losses: sc_l, mag_l = f(x, y) sc_loss += sc_l mag_loss += mag_l sc_loss /= len(self.stft_losses) mag_loss /= len(self.stft_losses) return sc_loss, mag_loss