A widely linear model for stereophonic acoustic echo cancellation

The stereophonic acoustic echo, due to the coupling between two loudspeakers and two microphones, can be modelled by a two-input/two-output system with real random variables. In this paper, we recast the problem as a single-input/single-output system with complex random variables, by using the widely linear (WL) model, and propose a new distortion method that fits well in this context. In order to illustrate the behavior of this scheme, the recursive least-squares (RLS)-dichotomous coordinate descent (DCD) algorithm is used. Experimental results indicate that the RLS-DCD algorithm represents an attractive choice for this application since it has good numerical features in terms of stability and complexity.

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► The widely linear (WL) model for stereophonic acoustic echo cancellation (SAEC) is proposed.
► The SAEC scheme is recast as a single-input/single-output system with complex random variables.
► A non-linear distortion is proposed in the context of the WL model for SAEC.
► The recursive least-squares (RLS)-dichotomous coordinate descent (DCD) algorithm is used.
► The RLS-DCD algorithm achieves good performance in terms of convergence rate and numerical issues.