Complex coefficient adaptive IIR notch filter tracking characteristics

Author

Mvuma, Aloys ; Nishimura, Shotaro ; Hinamoto, Takao

Author_Institution

Sch. of Inf., Univ. of Dodoma, Dodoma, Tanzania

fYear

2009

fDate

2-5 Aug. 2009

Firstpage

640

Lastpage

643

Abstract

This paper investigates tracking characteristics of a complex-coefficient adaptive infinite-impulse response (IIR) notch filter with a gradient-based algorithm. Two cases are investigated, i.e., linear chirp and randomly-varying frequency input complex signals buried in a complex zero-mean white Gaussian noise. First-order real-coefficient difference equations with respect to steady-state instantaneous frequency tracking error are derived. Closed-form expressions for frequency tracking mean square error (MSE) are derived from the difference equations. In addition, closed-form expressions for optimum notch bandwidth coefficient and step size constant are presented. Computer simulations are included to validate the analyses.

Keywords

Gaussian noise; IIR filters; adaptive filters; difference equations; gradient methods; mean square error methods; notch filters; tracking filters; white noise; closed-form expression; complex coefficient adaptive IIR notch filter; complex zero-mean white Gaussian noise; first-order real-coefficient difference equations; infinite-impulse response filter; mean square error; steady-state instantaneous frequency tracking error; tracking characteristics; Adaptive filters; Chirp; Closed-form solution; Computer errors; Difference equations; Frequency; Gaussian noise; IIR filters; Mean square error methods; Steady-state;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2009. MWSCAS '09. 52nd IEEE International Midwest Symposium on

Conference_Location

Cancun

ISSN

1548-3746

Print_ISBN

978-1-4244-4479-3

Electronic_ISBN

1548-3746

Type

conf

DOI

10.1109/MWSCAS.2009.5236013

Filename

5236013