Adaptive IIR notch filters: state-space approach

Author

Mvuma, Aloys ; Nishimura, Shotaro ; Hinamoto, Takao

Author_Institution

Graduate Sch. of Eng., Hiroshima Univ., Japan

fYear

2005

fDate

23-26 May 2005

Firstpage

2287

Abstract

In this paper, a novel state-space approach to the analysis of the effects of roundoff errors on the steady-state characteristics of a gradient algorithm (GA) for a second-order adaptive infinite impulse response (IIR) notch filter is proposed. First, a general expression for the steady-state sinusoid frequency estimation mean square error (MSE) in terms of state-space matrices of a third-order complex-coefficient system is derived. Then, closed form expressions for direct form and orthogonal adaptive IIR notch filters are derived from the general expression. Lastly, computer simulation results are presented to confirm the accuracy of the analysis.

Keywords

IIR filters; adaptive filters; frequency estimation; gradient methods; matrix algebra; mean square error methods; notch filters; roundoff errors; state-space methods; MSE; adaptive IIR notch filters; closed form expressions; direct form notch filters; gradient algorithm; infinite impulse response; mean square error; orthogonal notch filters; roundoff errors; second-order notch filter; state-space matrices; steady-state characteristics; steady-state sinusoid frequency estimation; third-order complex-coefficient system; Adaptive filters; Algorithm design and analysis; Finite impulse response filter; Frequency estimation; Genetic expression; IIR filters; Mean square error methods; Roundoff errors; Signal processing algorithms; Steady-state;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2005. ISCAS 2005. IEEE International Symposium on

Print_ISBN

0-7803-8834-8

Type

conf

DOI

10.1109/ISCAS.2005.1465080

Filename

1465080