An output signal based combination of two NLMS adaptive algorithms

This paper studies an affine combination of two NLMS adaptive filters, which is an interesting way of improving the performance of adaptive algorithms. The structure consists of two adaptive filters that adapt on the same input signal, one with a large and the other one with a small step size. Outputs of the individual filters are combined together with help of a parameter lambda. Such a combination is capable of achieving fast initial convergence and small steady state error at the same time. In this paper we propose a novel way of computing the combination parameter lambda and investigate the performance of the resulting combined algorithm.