Multichannel Online Dereverberation Based on Spectral Magnitude Inverse Filtering

Xiaofei Li, Laurent Girin, Sharon Gannot, Radu Horaud

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


This paper addresses the problem of multichannel online dereverberation. The proposed method is carried out in the short-Time Fourier transform (STFT) domain, and for each frequency band independently. In the STFT domain, the time-domain room impulse response is approximately represented by the convolutive transfer function (CTF). The multichannel CTFs are adaptively identified based on the cross-relation method, and using the recursive least square criterion. Instead of the complex-valued CTF convolution model, we use a nonnegative convolution model between the STFT magnitude of the source signal and the CTF magnitude, which is just a coarse approximation of the former model, but is shown to be more robust against the CTF perturbations. Based on this nonnegative model, we propose an online STFT magnitude inverse filtering method. The inverse filters of the CTF magnitude are formulated based on the multiple-input/output inverse theorem, and adaptively estimated based on the gradient descent criterion. Finally, the inverse filtering is applied to the STFT magnitude of the microphone signals, obtaining an estimate of the STFT magnitude of the source signal. Experiments regarding both speech enhancement and automatic speech recognition are conducted, which demonstrate that the proposed method can effectively suppress reverberation, even for the difficult case of a moving speaker.

Original languageEnglish
Article number8723138
Pages (from-to)1365-1377
Number of pages13
JournalIEEE/ACM Transactions on Audio Speech and Language Processing
Issue number9
StatePublished - Sep 2019

Bibliographical note

Publisher Copyright:
© 2014 IEEE.


  • Online speech dereverberation
  • channel identification
  • inverse filtering
  • multichannel equalization


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