Spaces:
Running
Running
""" | |
BSD 3-Clause License | |
Copyright (c) 2017, Prem Seetharaman | |
All rights reserved. | |
* Redistribution and use in source and binary forms, with or without | |
modification, are permitted provided that the following conditions are met: | |
* Redistributions of source code must retain the above copyright notice, | |
this list of conditions and the following disclaimer. | |
* Redistributions in binary form must reproduce the above copyright notice, this | |
list of conditions and the following disclaimer in the | |
documentation and/or other materials provided with the distribution. | |
* Neither the name of the copyright holder nor the names of its | |
contributors may be used to endorse or promote products derived from this | |
software without specific prior written permission. | |
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND | |
ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED | |
WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE | |
DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR | |
ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES | |
(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; | |
LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON | |
ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT | |
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS | |
SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. | |
""" | |
import torch | |
import numpy as np | |
import torch.nn.functional as F | |
from torch.autograd import Variable | |
from scipy.signal import get_window | |
from librosa.util import pad_center, tiny | |
from audio_processing import window_sumsquare | |
torch.manual_seed(1234) | |
class STFT(torch.nn.Module): | |
"""adapted from Prem Seetharaman's https://github.com/pseeth/pytorch-stft""" | |
def __init__(self, filter_length=800, hop_length=200, win_length=800, | |
window='hann'): | |
super(STFT, self).__init__() | |
self.filter_length = filter_length | |
self.hop_length = hop_length | |
self.win_length = win_length | |
self.window = window | |
self.forward_transform = None | |
scale = self.filter_length / self.hop_length | |
fourier_basis = np.fft.fft(np.eye(self.filter_length)) | |
cutoff = int((self.filter_length / 2 + 1)) | |
fourier_basis = np.vstack([np.real(fourier_basis[:cutoff, :]), | |
np.imag(fourier_basis[:cutoff, :])]) | |
forward_basis = torch.FloatTensor(fourier_basis[:, None, :]) | |
inverse_basis = torch.FloatTensor( | |
np.linalg.pinv(scale * fourier_basis).T[:, None, :]) | |
if window is not None: | |
assert(filter_length >= win_length) | |
# get window and zero center pad it to filter_length | |
fft_window = get_window(window, win_length, fftbins=True) | |
fft_window = pad_center(fft_window, size=filter_length) | |
fft_window = torch.from_numpy(fft_window).float() | |
# window the bases | |
forward_basis *= fft_window | |
inverse_basis *= fft_window | |
self.register_buffer('forward_basis', forward_basis.float()) | |
self.register_buffer('inverse_basis', inverse_basis.float()) | |
def transform(self, input_data): | |
num_batches = input_data.size(0) | |
num_samples = input_data.size(1) | |
self.num_samples = num_samples | |
# similar to librosa, reflect-pad the input | |
input_data = input_data.view(num_batches, 1, num_samples) | |
input_data = F.pad( | |
input_data.unsqueeze(1), | |
(int(self.filter_length / 2), int(self.filter_length / 2), 0, 0), | |
mode='reflect') | |
input_data = input_data.squeeze(1) | |
forward_transform = F.conv1d( | |
input_data, | |
Variable(self.forward_basis, requires_grad=False), | |
stride=self.hop_length, | |
padding=0) | |
cutoff = int((self.filter_length / 2) + 1) | |
real_part = forward_transform[:, :cutoff, :] | |
imag_part = forward_transform[:, cutoff:, :] | |
magnitude = torch.sqrt(real_part**2 + imag_part**2) | |
phase = torch.autograd.Variable( | |
torch.atan2(imag_part.data, real_part.data)) | |
return magnitude, phase | |
def inverse(self, magnitude, phase): | |
recombine_magnitude_phase = torch.cat( | |
[magnitude*torch.cos(phase), magnitude*torch.sin(phase)], dim=1) | |
inverse_transform = F.conv_transpose1d( | |
recombine_magnitude_phase, | |
Variable(self.inverse_basis, requires_grad=False), | |
stride=self.hop_length, | |
padding=0) | |
if self.window is not None: | |
window_sum = window_sumsquare( | |
self.window, magnitude.size(-1), hop_length=self.hop_length, | |
win_length=self.win_length, n_fft=self.filter_length, | |
dtype=np.float32) | |
# remove modulation effects | |
approx_nonzero_indices = torch.from_numpy( | |
np.where(window_sum > tiny(window_sum))[0]) | |
window_sum = torch.autograd.Variable( | |
torch.from_numpy(window_sum), requires_grad=False) | |
inverse_transform[:, :, approx_nonzero_indices] /= window_sum[approx_nonzero_indices] | |
# scale by hop ratio | |
inverse_transform *= float(self.filter_length) / self.hop_length | |
inverse_transform = inverse_transform[:, :, int(self.filter_length/2):] | |
inverse_transform = inverse_transform[:, :, :-int(self.filter_length/2):] | |
return inverse_transform | |
def forward(self, input_data): | |
self.magnitude, self.phase = self.transform(input_data) | |
reconstruction = self.inverse(self.magnitude, self.phase) | |
return reconstruction | |