Acoustic echo cancellation (AEC) is a well-known application of adaptive filters in communication acoustics. To\nimplement AEC for multichannel reproduction systems, powerful adaptation algorithms like the generalized\nfrequency-domain adaptive filtering (GFDAF) algorithm are required for satisfactory convergence behavior. In this\npaper, the GFDAF algorithm is rigorously derived as an approximation of the block recursive least-squares (RLS)\nalgorithm. Thereby, the original formulation of the GFDAF algorithm is generalized while avoiding an error that has\nbeen in the original derivation. The presented algorithm formulation is applied to pruned transform-domain\nloudspeaker-enclosure-microphone models in a mathematically consistent manner. Such pruned models have\nrecently been proposed to cope with the tremendous computational demands of massive multichannel AEC. Beyond\nits generalization, a regularization of the GFDAF is shown to have a close relation to the well-known block\nleast-mean-squares algorithm.
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