A class of adaptive step-size control algorithms for adaptive filters

Author

Koike, Shin´ichi

Author_Institution

NEC Corp., Tokyo, Japan

Volume

50

Issue

6

fYear

2002

fDate

6/1/2002 12:00:00 AM

Firstpage

1315

Lastpage

1326

Abstract

A class of new adaptive step-size control algorithms, which is applicable to most of the LMS-derived tap weight adaptation algorithms, is proposed. Analysis yields a set of difference equations for theoretically calculating the transient behavior of the filter convergence and derives an explicit formula for the steady-state excess mean-square error (EMSE). Experiments for some examples prove that the proposed algorithm is highly effective in improving the convergence rate in both transient and tracking phases. The theoretically calculated convergence is shown to be in good agreement with that obtained through simulations. Alternative formulae of the step-size adaptation for specific tap weight adaptation algorithms are also proposed

Keywords

adaptive filters; adaptive signal processing; convergence of numerical methods; difference equations; filtering theory; least mean squares methods; LMS-derived tap weight adaptation algorithms; adaptive filters; adaptive step-size control algorithms; convergence rate; difference equations; filter convergence; simulations; steady-state excess mean-square error; tap weight adaptation algorithms; tracking phase; transient behavior; transient phase; Adaptive control; Adaptive filters; Convergence; Error correction; Finite impulse response filter; Least squares approximation; Programmable control; Signal processing algorithms; Size control; Transient analysis;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/TSP.2002.1003057

Filename

1003057