Convergence properties of an adaptive Fourier analyzer

Author

Simon, Gyula ; Péceli, Gábor

Author_Institution

Dept. of Meas. & Inf. Syst., Tech. Univ. Budapest, Hungary

Volume

46

Issue

2

fYear

1999

fDate

2/1/1999 12:00:00 AM

Firstpage

223

Lastpage

227

Abstract

A PLL-like adaptive Fourier analyzer (AFA) was proposed which has shown excellent performance in practical applications. The convergence analysis of this AFA is extremely difficult, and until now theoretical results have not been available. In this paper a modified version of the original AFA is proposed. The new version preserves the effectiveness of the original AFA, and its convergence properties can be exactly analyzed. Sufficient conditions are presented for the exponential stability, and the absolutely monotone convergence, as a function of the harmonic content of the input signal. The speed of the convergence is also estimated, and the effect of the noise and of unmodeled periodic components are analyzed

Keywords

adaptive filters; adaptive signal processing; asymptotic stability; convergence; filtering theory; noise; observers; spectral analysis; stability criteria; absolutely monotone convergence; adaptive Fourier analyzer; convergence analysis; convergence properties; convergence speed; exponential stability; input signal harmonic content; noise effect; unmodeled periodic components; Adaptive filters; Asymptotic stability; Convergence; Frequency; Performance analysis; Power harmonic filters; Signal processing algorithms; Spectral analysis; Stability analysis; Sufficient conditions;

fLanguage

English

Journal_Title

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

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/82.752959

Filename

752959