Block-based multichannel transform-domain adaptive filtering

Multichannel adaptive filtering is subject to specific problems emerging from spatio-temporal couplings in the input signals of the adaptive filter. Transform-domain adaptive filtering (TDAF) decouples the input signal of the adaptive filter by a suitably chosen transformation. In a previous paper, the authors have introduced a two-stage approach to multichannel TDAF. However, the approach presented there based on a sample-by-sample update of the filter coefficients. In this paper we present a more practical block-based formulation of multichannel TDAF that is constructed from a combination of frequency-domain adaptive filtering for temporal decoupling and an unitary transform for spatial decoupling.