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  • Research Article
  • Open Access

Subspace Methods for Multimicrophone Speech Dereverberation

EURASIP Journal on Advances in Signal Processing20032003:769285

  • Received: 2 September 2002
  • Published:


A novel approach for multimicrophone speech dereverberation is presented. The method is based on the construction of the null subspace of the data matrix in the presence of colored noise, using the generalized singular-value decomposition (GSVD) technique, or the generalized eigenvalue decomposition (GEVD) of the respective correlation matrices. The special Silvester structure of the filtering matrix, related to this subspace, is exploited for deriving a total least squares (TLS) estimate for the acoustical transfer functions (ATFs). Other less robust but computationally more efficient methods are derived based on the same structure and on the QR decomposition (QRD). A preliminary study of the incorporation of the subspace method into a subband framework proves to be efficient, although some problems remain open. Speech reconstruction is achieved by virtue of the matched filter beamformer (MFBF). An experimental study supports the potential of the proposed methods.


  • speech dereverberation
  • subspace methods
  • subband processing

Authors’ Affiliations

School of Engineering, Bar-Ilan University, Ramat-Gan, 52900, Israel
Department of Electrical Engineering, Katholieke Universiteit Leuven, ESAT-SISTA, Kasteelpark Arenberg 10, Heverlee, B-3001, Belgium


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