Two Novel Arctangent Normalized Subband Adaptive Filter Algorithms Against Impulsive Interferences

• Published in: Circuits, systems, and signal processing Vol. 37; no. 2; pp. 883 - 900
• Main Authors: Shen, Zijie, Yu, Yi, Huang, Tianmin
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.02.2018; Springer Nature B.V
• Subjects: Adaptive algorithms; Adaptive filters; Algorithms; Circuits and Systems; Computer simulation; Convergence; Electrical Engineering; Electronics and Microelectronics; Engineering; Instrumentation; Short Paper; Signal,Image and Speech Processing; Arctangent cost function; Impulsive interferences; System identification; Normalized subband adaptive filter; Improved proportionate sign subband adaptive filter
• ISSN: 0278-081X; 1531-5878
• DOI: 10.1007/s00034-017-0583-9

In this paper, two arctangent-based normalized subband adaptive filter (Arc-NSAF) algorithms are proposed, which are derived from two different forms of arctangent cost function and their difference is the order of the arctangent computation and the summation operation of the normalized subband error signal. Benefiting from the excellent property of the arctangent function for suppressing impulsive interferences, the proposed Arc-NSAF algorithms not only possess good robustness against impulsive interferences, but also obtain faster convergence rate for the colored input signals. To further improve the convergence performance of the Arc-NSAFs when identifying sparse system, the proportionate versions of the Arc-NSAF algorithms are also proposed. Simulation results have demonstrated the superiority of the proposed algorithms in impulsive interferences environments as compared to their respective competitors.