Development of adaptive homotopy continuation method algorithm for adaptive IIR filtering

Author

Bae, Sangmin ; Udpa, Lalita ; Udpa, Satish

Author_Institution

Dept. of Electr. Eng. & Comput. Eng., Iowa State Univ., Ames, IA, USA

Volume

3

fYear

1996

fDate

18-21 Aug 1996

Firstpage

1333

Abstract

An exhaustive solution search method, called homotopy continuation method, is modified and applied for finding the global minimum of nonquadratic error surfaces of adaptive IIR filters. First, the homotopy continuation method is modified to solve a set of nonlinear polynomials which have time-varying coefficients. Next, it is shown that adaptive IIR filtering can be formulated as solving a set of approximated polynomials. The validity of the approach is demonstrated using an example involving the estimation of the coefficients of an all pole filter

Keywords

IIR filters; adaptive filters; filtering theory; polynomials; time-varying filters; adaptive IIR filtering; adaptive homotopy continuation method; all pole filter; approximated polynomials; exhaustive solution search method; global minimum; nonlinear polynomials; nonquadratic error surfaces; time-varying coefficients; Adaptive filters; Differential equations; Filtering algorithms; IIR filters; Polynomials; Prediction algorithms;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1996., IEEE 39th Midwest symposium on

Conference_Location

Ames, IA

Print_ISBN

0-7803-3636-4

Type

conf

DOI

10.1109/MWSCAS.1996.593178

Filename

593178