Frequency-domain adaptive filtering revisited, generalization to the multi-channel case, and application to acoustic echo cancellation

Authors:
J. Benesty;D. R. Morgan
Affiliations:
AT&TBell Labs., Murray Hill, NJ, USA;-
Venue:
ICASSP '00 Proceedings of the Acoustics, Speech, and Signal Processing, 2000. on IEEE International Conference - Volume 02
Year:
2000

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Abstract

We derive a new frequency-domain adaptive algorithm by using a frequency-domain recursive least squares criterion, minimizing an error signal in the frequency-domain. We then derive an exact adaptive algorithm from the so-called normal equation. It is shown that the obtained algorithm is complex to implement, and to reduce the complexity we need to remove a constraint resulting in the unconstrained frequency-domain LMS (UFLMS) algorithm. Most importantly, we generalize all this to the multi-channel case, thereby exploiting the cross-power spectra among all the channels which is very important (for a fast convergence rate) in multichannel acoustic echo cancellation (AEC), where the input signals are highly correlated.