STABILITY BOUNDS AND STEADY-STATE COEFFICIENT VARIANCE FOR A 2ND-ORDER ADAPTIVE IIR NOTCH FILTER

Authors
PETRAGLIA MR SHYNK JJ MITRA SK
Citation
Mr. Petraglia et al., STABILITY BOUNDS AND STEADY-STATE COEFFICIENT VARIANCE FOR A 2ND-ORDER ADAPTIVE IIR NOTCH FILTER, IEEE transactions on signal processing, 42(7), 1994, pp. 1841-1845
Citations number
9
Categorie Soggetti
Acoustics
Journal title
IEEE transactions on signal processing → ACNP
ISSN journal
1053587X
Volume
42
Issue
7
Year of publication
1994
Pages
1841 - 1845
Database
ISI
SICI code
1053-587X(1994)42:7<1841:SBASCV>2.0.ZU;2-U
Abstract
In this correspondence, we present a stochastic convergence analysis o f a second-order adaptive IIR notch filter. The approach is based on a linearization of the gradient in the vicinity of the optimal solution . Expressions for stability bounds on the algorithm step size and the steady-state coefficient variance are derived. These closed-form analy tical results are verified by computer simulations for different signa l and noise conditions.