The gamma-filter-a new class of adaptive IIR filters with restricted feedback

Author

Principe, Jose C. ; De Vries, Bert ; De Oliveira, Pedro G.

Author_Institution

Dept. of Electr. Eng., Florida Univ., Gainesville, FL, USA

Volume

41

Issue

2

fYear

1993

fDate

2/1/1993 12:00:00 AM

Firstpage

649

Lastpage

656

Abstract

Generalized feedforward filters, a class of adaptive filters that combines attractive properties of finite impulse response (FIR) filters with some of the power of infinite impulse response (IIR) filters, are described. A particular case, the gamma filter, generalizes Widrow´s adaptive transversal filter (adaline) to an infinite impulse response filter. Yet, the stability condition for the gamma filter is trivial, and LMS adaptation is of the same computational complexity as the conventional transversal filter structure. Preliminary results indicate that the gamma filter is more efficient than the adaptive transversal filter. The authors extend the Wiener-Kopf equation to the gamma filter and develop some analysis tools

Keywords

adaptive filters; computational complexity; digital filters; frequency stability; least squares approximations; LMS adaptation; Widrow´s adaptive transversal filter; Wiener-Kopf equation; adaptive IIR filters; computational complexity; feedforward filters; gamma-filter; infinite impulse response; restricted feedback; stability condition; Adaptive filters; Adaptive signal processing; Biological system modeling; Computational complexity; Equations; Feedback; Finite impulse response filter; IIR filters; Least squares approximation; Stability; Transversal filters;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.193206

Filename

193206