Tracking performance analysis of the set-membership NLMS Adaptive Filtering Algorithm

Author

Arablouei, Reza ; Dogancay, Kutluyil

Author_Institution

Inst. for Telecommun. Res., Univ. of South Australia, Mawson Lakes, SA, Australia

fYear

2012

fDate

3-6 Dec. 2012

Firstpage

1

Lastpage

6

Abstract

In this paper, we analyze the tracking performance of the set-membership normalized least mean squares (SM-NLMS) adaptive filtering algorithm using the energy conservation argument. The analysis leads to a nonlinear equation whose solution gives the steady-state mean squared error (MSE) of the SM-NLMS algorithm in a nonstationary environment. We prove that there is always a unique positive solution for this equation. The results predicted by the analysis show good agreement with the simulation experiments.

Keywords

adaptive filters; least mean squares methods; nonlinear equations; SM-NLMS algorithm; energy conservation argument; nonlinear equation; nonstationary environment; set-membership NLMS adaptive filtering algorithm; set-membership normalized least mean squares adaptive filtering algorithm; steady-state mean squared error; tracking performance analysis; Adaptation models; Adaptive filters; Algorithm design and analysis; Mathematical model; Signal processing algorithms; Steady-state; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Signal & Information Processing Association Annual Summit and Conference (APSIPA ASC), 2012 Asia-Pacific

Conference_Location

Hollywood, CA

Print_ISBN

978-1-4673-4863-8

Type

conf

Filename

6411828