On the robust and efficient computation of the Kalman gain for multichannel adaptive filtering with application to acoustic echo cancellation

In this paper we discuss efficient approaches for a robust computation of the spatio-temporal Kalman gain in the context of adaptive multichannel systems. We apply the given approaches to the multichannel acoustic echo cancellation problem as representative for the class of system identification problems. Moreover, we provide a complexity and performance analysis of our approaches and compare the results to the conventional spatio-temporal Kalman gain computation methods.