Tracking analysis of a constrained adaptive notch filter

Author

Händel, Peter ; Nehorai, Arye

Author_Institution

Autom. Control & Syst. Anal. Group, Uppsala Univ., Sweden

fYear

1991

fDate

14-17 Apr 1991

Firstpage

3209

Abstract

The asymptotic tracking properties of an adaptive notch filter with pole-zeros constraints for the cancellation or retrieval of multiple time-varying sine waves in additive noise are analyzed. The methods of Ljung and Gunnarsson (see Automatica, vol.26, no.1, p.7-21, Jan. 1990) are used in order to analyze the asymptotic mean-square parameter error, when the variations in the underlying frequencies and the gain of the algorithm are assumed to be sufficiently small. A closed-form expression for the mean square error (MSE) is derived as a function of the tuning variables of the algorithm. The results give insight into the operational properties of the algorithm and are used in order to minimize the MSE with respect to the tuning variables

Keywords

adaptive filters; error analysis; filtering and prediction theory; notch filters; poles and zeros; signal processing; tracking; additive noise; asymptotic mean-square parameter error; asymptotic tracking properties; constrained adaptive notch filter; mean square error; multiple time-varying sine waves; pole-zeros constraints; signal processing; tracking analysis; Adaptive control; Adaptive filters; Algorithm design and analysis; Automatic control; Frequency estimation; Noise measurement; Programmable control; Signal processing algorithms; Steady-state; Tuning;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1991. ICASSP-91., 1991 International Conference on

Conference_Location

Toronto, Ont.

ISSN

1520-6149

Print_ISBN

0-7803-0003-3

Type

conf

DOI

10.1109/ICASSP.1991.150138

Filename

150138