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.
This article is part of the series Signal Processing for Acoustic Communication Systems.
Subspace Methods for Multimicrophone Speech Dereverberation
1 School of Engineering, Bar-Ilan University, Ramat-Gan 52900, Israel
2 Department of Electrical Engineering, Katholieke Universiteit Leuven, ESAT-SISTA, Kasteelpark Arenberg 10, Heverlee B-3001, Belgium
EURASIP Journal on Advances in Signal Processing 2003, 2003:769285 doi:10.1155/S1110865703305049
The electronic version of this article is the complete one and can be found online at: http://asp.eurasipjournals.com/content/2003/11/769285
|Received:||2 September 2002|
|Revisions received:||14 March 2003|
|Published:||5 October 2003|
© 2003 Copyright © 2003 Hindawi Publishing Corporation