Python: Short-Time Fourier Transform (STFT) and its inverse transform (ISTFT) using librosa

Below shows an example using STFT to transform speech into the frequency domain and ISTFT to transform the spectral data back to waveforms in the time domain. The Librosa package is used.

import librosa

import soundfile as sf

x, sr = librosa.load('1.wav', sr=None)

n_fft = 256

hop_length = 128

win_length = 256

X = librosa.stft(x, n_fft=n_fft, hop_length=hop_length, win_length=win_length)

y = librosa.istft(X, n_fft=n_fft, hop_length=hop_length, win_length=win_length)

sf.write('1_istft.wav', y, 16000)

Results for x and y:

References:

Matlab: Short-Time Fourier Transform (STFT) and its inverse transform (ISTFT) (StudyEECC)

librosa.stft

librosa.istft