Robust convex combination of affine projection-type algorithms using an impulsive noise indicator

A novel adaptive filter combining the affine projection algorithm (APA) and the affine projection sign algorithm (APSA) is proposed using an impulsive noise indicator. This indicator is proposed to use the APA as the component filter in impulsive noise environments, and it is easily obtained with convex combination schemes. From this, the proposed algorithm achieves robustness against impulsive noise regardless of the convergence state. In addition, the proposed algorithm exhibits a fast convergence rate of the APA for various noise environments. Simulation results verify that the proposed algorithm adequately combines the advantages of the two component filters for system identification scenarios. •This paper is the first approach combining the APA and the APSA.•A novel impulsive noise indicator is introduced to adopt APA with impulsive noise.•The indicator is derived using the difference between two filter output errors.•Proposed algorithm converges as fast as the APA even with impulsive noise.•Proposed algorithm shows robustness in various noise environments.