Widely linear general Kalman filter for stereophonic acoustic echo cancellation

•A general Kalman filter (GKF) is developed with the widely linear (WL) model for stereophonic acoustic echo cancellation (SAEC).•The specific parameters of the WL-GKF allow a better control of the algorithm, as compared to the recursive least-squares (RLS) counterpart.•The proposed WL-GKF achieves good performance in terms of convergence rate and tracking, outperforming the WL-RLS benchmark.

The stereophonic acoustic echo cancellation (SAEC) problem is usually modelled as a two-input/two-output system with real random variables. Recently, the SAEC scheme was recast as a single-input/single-output system with complex random variables, thanks to the widely linear (WL) model. In this paper, we motivate the use of a more general form of the Kalman filter with the WL model for SAEC. Simulation results indicate that this algorithm outperforms the recursive least-squares (RLS) algorithm, which is usually considered as the benchmark for SAEC.