The linear prediction algorithm estimates a zero-forcing (ZF) equalizer from the SIMO channel output's second order statistics. Linear prediction can be easily extended in the presence of an additive white noise, since the white noise variance can be easily identified and compensated for in the reverberant signal covariance matrix. However, the presence of the additive noise has so far not been considered for the design of the ZF equalizer, and the resulting equalizer is not optimal. In this paper, we consider two issues in the design of the LP-based equalizer in the presence of additive white noise. First, we investigate the effect of relative subchannel delay compensation on the output SNR. We show that such relative delay can reduce considerably the output SNR. Then, we optimize the transformation of the multivariate prediction filter to a longer equalizer filter using the SNR criterion. The optimization corresponds to MMSE-ZF design, and the filter length increase allows for the introduction of some equalization delay, that can also be optimized
Multivariate LP based MMSE-ZF equalizer design considerations, and application to multimicrophone dereverberation
ICASSP 2007, 32nd IEEE International Conference on Acoustics, Speech, and Signal Processing, April 15-20, 2007, Honolulu, USA
Type:
Conférence
City:
Honolulu
Date:
2007-04-15
Department:
Systèmes de Communication
Eurecom Ref:
2154
Copyright:
© 2007 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
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PERMALINK : https://www.eurecom.fr/publication/2154