Nonlinear behavior of the adaptive LMS algorithm

Author

Bourgeois, Brian S. ; Martinez, Andrew B.

Author_Institution

Naval Res. Labs., Stennis Space Center, MS, USA

Volume

42

Issue

2

fYear

1995

fDate

2/1/1995 12:00:00 AM

Firstpage

122

Lastpage

124

Abstract

This brief demonstrates that the adaptive LMS filter does not necessarily converge in the mean to the Wiener solution through the investigation of the harmonic content of signals in the filter for the case of narrowband signals. A 1 tap filter is examined in detail, and the structure of the estimated and error signals for the filter is investigated for an N tap filter. Simulation results are provided which collaborate and amplify the theoretical findings, showing that the harmonic content of the filter output can be predicted

Keywords

FIR filters; adaptive filters; error analysis; filtering theory; harmonics; least mean squares methods; nonlinear filters; 1 tap filter; N tap filter; Wiener solution; adaptive LMS algorithm; adaptive LMS filter; filter output; harmonic content prediction; narrowband signals; nonlinear behavior; Adaptive filters; Collaboration; Equations; Finite impulse response filter; Least squares approximation; Narrowband; Power harmonic filters; Predictive models; Signal analysis; Stochastic processes;

fLanguage

English

Journal_Title

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

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/82.365352

Filename

365352