A Novel Individual Variable Step-Size Subband Adaptive Filter Algorithm Robust to Impulsive Noises

Abstract

This paper proposes a novel individual variable step-size subband adaptive filter algorithm robust to impulsive noises. A fixed step-size subband adaptive filter algorithm that is robust against impulsive noises is newly derived by obtaining the optimal solution from a constrained optimization problem through the Lagrange multiplier. In addition, in order to further improve the convergence performance of the proposed algorithm, the weight update formula with a single fixed step size is modified to have multiple individual step sizes. By analyzing its mean-square-deviation (MSD), the optimal individual step size is designed. Simulation results show that the proposed algorithm outperforms the algorithms robust to impulsive noises in the literature.

Keywords

• Adaptive filters
• subband adaptive filter algorithm (SAF)
• variable step size
• individual step size
• mean square deviation
• impulsive noises