Steady state analysis of the p-power algorithm for constrained adaptive IIR notch filter

Author

Shadaydeh, Maha ; Xiao, Yegui ; Kawamata, Masayuki

Author_Institution

Graduate Sch. of Eng., Tohoku Univ., Sendai, Japan

Volume

3

fYear

2002

fDate

4-7 Aug. 2002

Abstract

In this paper, we present the steady state analysis of the p-power algorithm for an adaptive IIR notch filter with constrained poles and zeros for the case when p=3 and the sinusoidal signal is contaminated with additive Gaussian noise. We first derive two difference equations for the convergence of the mean and the Mean Square Error (MSE), and then give the steady state estimation bias and MSE. Stability conditions based on the step size value are also discussed.

Keywords

Gaussian noise; IIR filters; adaptive filters; convergence of numerical methods; difference equations; filtering theory; mean square error methods; notch filters; numerical stability; poles and zeros; MSE; adaptive IIR notch filter; additive Gaussian noise; constrained poles; constrained zeros; convergence; difference equations; mean square error; p-power algorithm; stability conditions; steady state analysis; steady state estimation bias; step size value; Adaptive filters; Additive noise; Algorithm design and analysis; Convergence; Difference equations; Gaussian noise; IIR filters; Poles and zeros; Signal analysis; Steady-state;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2002. MWSCAS-2002. The 2002 45th Midwest Symposium on

Print_ISBN

0-7803-7523-8

Type

conf

DOI

10.1109/MWSCAS.2002.1187127

Filename

1187127