Fast Signal Reconstruction from Magnitude STFT Spectrogram Based on Spectrogram Consistency

Jonathan Le Roux; Hirokazu Kameoka; Nobutaka Ono; Shigeki Sagayama
DAFx-2010 - Graz
The modification of magnitude spectrograms is at the core of many audio signal processing methods, from source separation to sound modification or noise canceling, and reconstructing a natural sounding signal in such situations is thus a very important issue. This article presents recent theoretical and experimental developments on the application to signal reconstruction from a modified magnitude spectrogram of the constraints that an array of complex numbers must verify to be a consistent short-time Fourier transform (STFT) spectrogram, i.e., to be the STFT spectrogram of an actual real-valued signal. We give here further theoretical insights, present several potential variations on our previously introduced algorithm, investigate various techniques to speed up the signal reconstruction process, and present a thorough experimental comparison of the performance of all the considered algorithms.