Multilevel split-path adaptive filtering and its unification with discrete Walsh transform adaptation

Author

Wan, K.F. ; Ching, P.C.

Author_Institution

Dept. of Electron. Eng., Chinese Univ. of Hong Kong, Shatin, Hong Kong

Volume

44

Issue

2

fYear

1997

fDate

2/1/1997 12:00:00 AM

Firstpage

147

Lastpage

151

Abstract

It has been shown that the convergence speed of an adaptive transversal filter can be made faster if the filter is split into a pair of symmetric/antisymmetric linear phase subfilters. In this brief, a generalized multilevel splitting approach is proposed which enables the realization of a modular split-path adaptive filter. It is demonstrated that an LMS FIR filter of length 2L, where L is an integer, can be decomposed into a set of parallel single-parameter subfilters by a novel L-step splitting procedure. The convergence behavior of the new filter configuration is improved noticeably and is confirmed experimentally. A unified perspective of the multilevel split-path adaptive filtering method with the discrete Walsh transform adaptation is also established

Keywords

FIR filters; Walsh functions; adaptive filters; convergence of numerical methods; filtering theory; least mean squares methods; matrix algebra; transforms; L-step splitting procedure; LMS FIR filter; convergence behavior; convergence speed; discrete Walsh transform adaptation; multilevel split-path adaptive filtering; parallel single-parameter subfilters; Adaptive filters; Convergence; Discrete Fourier transforms; Discrete transforms; Eigenvalues and eigenfunctions; Finite impulse response filter; Karhunen-Loeve transforms; Matrix decomposition; Nonlinear filters; Signal processing algorithms;

fLanguage

English

Journal_Title

Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/82.554462

Filename

554462