Pseudo-optimal regularization for affine projection algorithms

In the application of acoustic echo cancellation the adaptation process is disturbed by local background noise as well as by the speech of the local speaker. Furthermore, the loudspeaker-enclosure-microphone (LEM) system has time-variant nature. Therefore, adaptation control is absolutely necessary. If fast algorithms like affine projection are applied also numerical stability problems caused by matrix inversion arise. In this contribution both problems are addressed and by introducing a pseudo-optimal regularization a common solution is derived.