Alternate realizations to adaptive IIR filters and properties of their performance surfaces

Author

Nayeri, Majid ; Jenkins, W. Kenneth

Author_Institution

Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA

Volume

36

Issue

4

fYear

1989

fDate

4/1/1989 12:00:00 AM

Firstpage

485

Lastpage

496

Abstract

It is shown how different structures of an adaptive filter lead to a change in the characteristics of the corresponding error surface and, consequently, to a change in the corresponding convergence rate and minimum mean-square error. Alternate realizations of adaptive infinite impulse response (IIR) filters are presented, and some properties of their performance surfaces are found through mathematical analysis. A parallel-form realization of adaptive IIR filters is introduced, and the behaviors of the recursive least-mean-square algorithm for this structure and for the direct form realization are compared. A general theory based on an analysis of stationary points is presented. This general result is then specialized for parallel and cascade realizations

Keywords

adaptive filters; digital filters; least squares approximations; adaptive IIR filters; cascade realizations; convergence rate; direct form realization; error surface; infinite impulse response; minimum mean-square error; parallel-form realization; performance surfaces; recursive least-mean-square algorithm; stationary points; Adaptive equalizers; Adaptive filters; Convergence; Digital filters; Digital signal processing; Echo cancellers; Finite impulse response filter; IIR filters; Noise cancellation; Signal processing algorithms;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/31.92881

Filename

92881