Simplified gradient calculation in adaptive IIR lattice filters

Author

Rodriguez-Fonollosa, Jose A. ; Masgrau, Enrique

Author_Institution

Dept. of Signal Theory & Commun., Univ. Politecnica de Catalunya, Barcelona, Spain

Volume

39

Issue

7

fYear

1991

fDate

7/1/1991 12:00:00 AM

Firstpage

1702

Lastpage

1705

Abstract

A simplified algorithm is presented for computing the gradient in adaptive IIR (infinite impulse response) lattice filters. For a filter with N zeros and N poles, this algorithm requires only order N computations. Several computer simulations were performed to compare the performance of the proposed O(N ) formulation and the conventional O(N²) formulation, and no difference in their behavior was found. In these simulations the full Hessian and the diagonal Hessian adaptive algorithms were used in a system-identification configuration. It is concluded that the proposed method allows the development of robust adaptive IIR algorithms with a cost proportional to the filter order

Keywords

adaptive filters; digital filters; filtering and prediction theory; adaptive IIR lattice filters; diagonal Hessian adaptive algorithms; filter order; filter poles; filter zeros; infinite impulse response; signal processing; simplified gradient calculation; system-identification configuration; Adaptive control; Adaptive filters; IIR filters; Lattices; Poles and zeros; Programmable control; Reflection; Signal processing algorithms; Stability; Telecommunications;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.134415

Filename

134415