Modeling the Short Time Fourier Transform Ratio and Application to Underdetermined Audio Source Separation

  • Authors:

  • Dinh-Tuan Pham;Zaher El-Chami;Alexandre Guérin;Christine Servière

  • Affiliations:

  • Laboratory Jean Kuntzmann, CNRS - INPG - UJF Grenoble, France;Orange Labs, Lannion, France;Orange Labs, Lannion, France;GIPSA-lab, CNRS - INPG Grenoble, France

  • Venue:
  • ICA '09 Proceedings of the 8th International Conference on Independent Component Analysis and Signal Separation
  • Year:
  • 2009

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Abstract

This paper presents the theoretical background for the Model Based Underdetermined Source Separation presented in [5]. We show that for a given frequency band, in contrast to customary assumption, the observed Short-Time Fourier Transform (STFT) ratio coming from one source is not constant in time, but is a random variable whose distribution we have obtained. Using this distribution and the Time-Frequency (TF) "disjoint" assumption of sources, we are able to obtain promising results in separating four audio sources from two microphones in a real reverberant room.