A Robust Variable Step-Size NLMS Algorithm Through A Combination of Robust Cost Functions

Abstract

Abstract-This letter introduces a new gradient-based adaptive filtering algorithm based on a cost function that is constructed by combining two robust cost functions, which are a new tanh-type cost function and Vega's cost function. Through the approach to combine robust cost functions, the robustness of the proposed algorithm outperforms that of other adaptive algorithms.Since the proposed algorithm is derived by combining two robust cost functions, it leads to an excellent transient and steady-state behavior in high probability of impulsive measurement noise. The proposed algorithm is tested in different probability of impulsive measurement noise.Index Terms-Adaptive filter, robust filtering, impulsive noise, normalized least-mean-square (NLMS) algorithm.