Performance comparison of the FXLMS, nonlinear FXLMS and leaky FXLMS algorithms in nonlinear active control applications

Author

Tobias, Orlando J. ; Seara, Rui

Author_Institution

Dept. of Electr. Eng., Fed. Univ. of Santa Catarina, Florianópolis, Brazil

fYear

2002

fDate

3-6 Sept. 2002

Firstpage

1

Lastpage

4

Abstract

This paper investigates the performance of the filtered-X LMS (FXLMS) and leaky filtered-X LMS (LFXLMS) algorithms in a nonlinear system. In addition, we derive the nonlinear filtered-X LMS algorithm (NLFXLMS), which is obtained by considering the nonlinear system function for the determination of the gradient of the cost function. We show that the fact of not using the exact gradient implies in a performance reduction of the adaptive algorithm. The adaptive algorithms are examined in the context of active noise control applications, which possess nonlinear components. Through numerical simulations we discuss the capabilities of the examined adaptive algorithms.

Keywords

active noise control; adaptive filters; filtering theory; least mean squares methods; nonlinear filters; NLFXLMS algorithms; active noise control applications; adaptive algorithm; cost function; leaky filtered-X LMS algorithms; nonlinear filtered-X LMS algorithm; nonlinear system function; Adaptive filters; Adaptive systems; Filtering algorithms; Least squares approximations; Maximum likelihood detection; Noise; Nonlinear filters;

fLanguage

English

Publisher

ieee

Conference_Titel

Signal Processing Conference, 2002 11th European

Conference_Location

Toulouse

ISSN

2219-5491

Type

conf

Filename

7072072