Tracking analysis of an adaptive notch filter with constrained poles and zeros

Author

Händel, Peter ; Nehorai, Arye

Author_Institution

Syst. & Control Group, Uppsala Univ., Sweden

Volume

42

Issue

2

fYear

1994

fDate

2/1/1994 12:00:00 AM

Firstpage

281

Lastpage

291

Abstract

This paper analyzes the asymptotic tracking properties of an adaptive notch filter (ANF) with pole-zero constraints for the cancellation or retrieval of multiple time-varying sine waves in additive noise. The asymptotic mean square error (MSE) is analyzed using the methods of Ljung and Gunnarsson (1990) when the variations in the underlying frequencies are assumed to be sufficiently small. Closed-form expressions for the MSE are derived as functions 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. Computer simulations confirm the validity of the derived results

Keywords

adaptive filters; digital filters; notch filters; poles and zeros; signal processing; tracking; MSE; adaptive notch filter; additive noise; algorithm; asymptotic tracking properties; closed-form expressions; computer simulations; mean square error; multiple time-varying sine waves; pole-zero constraints; tracking analysis; tuning variables; Adaptive filters; Algorithm design and analysis; Error analysis; Frequency estimation; Mean square error methods; Narrowband; Poles and zeros; Signal processing algorithms; Steady-state; Tuning;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.275602

Filename

275602