A continuous-time adaptive notch filter: Transient and tracking analyses

Author

Nishimura, Shotaro ; Mvuma, Aloys ; Hinamoto, Takao

Author_Institution

Shimane Univ., Matsue, Japan

fYear

2012

fDate

5-8 Aug. 2012

Firstpage

262

Lastpage

265

Abstract

This paper presents a state-space approach for implementation of a continuous-time adaptive notch filter with a gradient-based algorithm for a single sinusoid frequency estimation. Transient analysis of the proposed algorithm is carried out under the assumption of slow adaptation. Tracking characteristics are also investigated for linear chirp and sinusoidally-varying input signal frequency. Closed-form expressions for frequency tracking error for both cases are derived. Finally, simulation results are presented to verify the validity of the proposed algorithm and derived expressions.

Keywords

adaptive filters; gradient methods; notch filters; transient analysis; closed form expression; continuous time adaptive notch filter; frequency tracking error; gradient based algorithm; input signal frequency; sinusoid frequency estimation; tracking analysis; transient analysis; Adaptive filters; Algorithm design and analysis; Band pass filters; Filtering algorithms; Frequency estimation; IIR filters; Steady-state;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems (MWSCAS), 2012 IEEE 55th International Midwest Symposium on

Conference_Location

Boise, ID

ISSN

1548-3746

Print_ISBN

978-1-4673-2526-4

Electronic_ISBN

1548-3746

Type

conf

DOI

10.1109/MWSCAS.2012.6292007

Filename

6292007