Tracking characteristics of the constrained IIR adaptive notch filter

Author

Rao, Bhakar D. ; Peng, Rong

Author_Institution

AMES Dept., California Univ., San Diego, La Jolla, CA, USA

Volume

36

Issue

9

fYear

1988

fDate

9/1/1988 12:00:00 AM

Firstpage

1466

Lastpage

1479

Abstract

The tracking behavior of a constrained IIR notch filter, the coefficients of which are estimated using a constant-step-size Gauss-Newton algorithm, is studied. Using weak convergence theory and the concept of prescaling, it is shown that the mean behavior of the adaptive filter coefficients can be studied by using an ordinary differential equation (ODE). Approximate and simple closed-form results are derived for the tracking behavior of a second-order notch filter. Computer simulations are presented to substantiate the analysis

Keywords

convergence; differential equations; digital filters; filtering and prediction theory; notch filters; closed-form results; computer simulations; constant-step-size Gauss-Newton algorithm; constrained IIR adaptive notch filter; convergence theory; ordinary differential equation; prescaling; second-order notch filter; tracking behaviour; Adaptive filters; Additive noise; Autoregressive processes; Differential equations; Frequency; IIR filters; Least squares methods; Narrowband; Newton method; Poles and zeros;

fLanguage

English

Journal_Title

Acoustics, Speech and Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

0096-3518

Type

jour

DOI

10.1109/29.90375

Filename

90375