Least mean p-power error criterion for adaptive FIR filter

Author

Pei, Soo-Chang ; Tseng, Chien-Cheng

Author_Institution

Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan

Volume

12

Issue

9

fYear

1994

fDate

12/1/1994 12:00:00 AM

Firstpage

1540

Lastpage

1547

Abstract

An adaptive FIR filter based on the least mean p-power error (MPE) criterion is investigated. First, some useful properties of MPE function are studied. Three main results are as follows: 1) MPE function is a convex function of filter coefficients; so it has no local minima. 2) When input process and desired process are both Gaussian processes, then MPE function has the same optimum solution as the conventional Wiener solution for any p. 3) When input process and desired process are non-Gaussian processes, then MPE function may have better optimum solution than Wiener solution. Next, a least mean p-power (LMP) error adaptive algorithm is derived and some application examples are presented. Consequently, when the signal is corrupted by an impulsive noise, the adaptive algorithm with p=1 is preferred. Furthermore, when the signal is corrupted by noise or interference, the adaptive algorithm with proper choice of p may be preferred

Keywords

FIR filters; Gaussian processes; adaptive filters; filtering theory; interference (signal); least mean squares methods; Gaussian processes; adaptive FIR filter; convex function; desired proces; error adaptive algorithm; filter coefficients; impulsive noise; input process; interference; least mean p-power error criterion; nonGaussian processes; optimum solution; Adaptive algorithm; Adaptive filters; Finite impulse response filter; Gaussian processes; IIR filters; Interference; Least squares approximation; Minimization; Signal processing; Signal processing algorithms;

fLanguage

English

Journal_Title

Selected Areas in Communications, IEEE Journal on

Publisher

ieee

ISSN

0733-8716

Type

jour

DOI

10.1109/49.339922

Filename

339922