Complex NMF under spectrogram consistency constraints

Jonathan Le Roux 1 Hirokazu Kameoka 1 Emmanuel Vincent 2 Nobutaka Ono 3 Kunio Kashino 1 Shigeki Sagayama 3
2 METISS - Speech and sound data modeling and processing
IRISA - Institut de Recherche en Informatique et Systèmes Aléatoires, Inria Rennes – Bretagne Atlantique
Abstract : Many audio signal processing algorithms rely on the estimation of magnitude or complex short-time Fourier transform (STFT) spectrograms, but usually do not take into account the necessity for the estimated spectrograms to be consistent, i.e., to correspond to the STFT of a real-valued time-domain signal. Consistency constraints were introduced in [1] and applied there to phase reconstruction from magnitude spectrograms. In this paper, we show how to use them to introduce penalty functions on the consistency of STFT spectrograms into the recently introduced complex non-negative matrix factorization (NMF) framework [2], which estimates recurring patterns in the observed magnitude spectra, their activations and their phases. We derive analytical update equations through an auxiliary function approach, and present preliminary results on a supervised monaural source separation task.
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Communication dans un congrès
ASJ Autumn Meeting, Sep 2009, Koriyama, Japan. 2009
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Jonathan Le Roux, Hirokazu Kameoka, Emmanuel Vincent, Nobutaka Ono, Kunio Kashino, et al.. Complex NMF under spectrogram consistency constraints. ASJ Autumn Meeting, Sep 2009, Koriyama, Japan. 2009. 〈inria-00544149〉

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