A variable step-size frequency-domain adaptive filtering algorithm for stereophonic acoustic echo cancellation

In this paper a gradient adaptive step-size algorithm for frequency domain adaptive filtering is proposed: the step-size adaptation is performed by differentiating the time-domain block error at the output of the block adaptive filter with respect to the step-size. By using the results obtained through a rigorous mathematical treatment in the single-channel situation and in the presence of a partitioned adaptive filter, an adaptation rule valid for two-channel adaptive algorithms, which may be easily extended to multi-channel adaptive algorithms, is derived. Experimental results concerning stereophonic acoustic echo cancellation are reported, in order to validate the effectiveness of the proposed algorithm.