Stability bounds for an adaptive IIR notch filter

Author

Petraglia, Mariane R. ; Shynk, John J. ; Mitra, Sanjit K.

Author_Institution

Dept. of Electr. & Comput. Eng., California Univ., Santa Barbara, CA, USA

fYear

1990

fDate

1-3 May 1990

Firstpage

1963

Abstract

A stochastic analysis is presented of the convergence properties of a second-order adaptive infinite-impulse-response (IIR) notch filter with a gradient-descent coefficient update algorithm. The analysis is based on a linearization of the gradient function in the vicinity of the optimal solution. Expressions for the stability bounds of the algorithm step size and for the steady-state variance of the adaptive parameter are derived. These analytical results are verified by computer simulations for a variety of signal and noise conditions

Keywords

adaptive filters; convergence; digital filters; filtering and prediction theory; notch filters; stability; stochastic processes; adaptive IIR notch filter; adaptive parameter; algorithm step size; computer simulations; convergence properties; gradient-descent coefficient update algorithm; infinite-impulse-response; stability bounds; steady-state variance; stochastic analysis; Adaptive filters; Algorithm design and analysis; Band pass filters; Computational complexity; Convergence; Finite impulse response filter; IIR filters; Signal processing algorithms; Stability; Stochastic processes;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1990., IEEE International Symposium on

Conference_Location

New Orleans, LA

Type

conf

DOI

10.1109/ISCAS.1990.112101

Filename

112101