IIR Approximation of FIR Filters Via Discrete-Time Hybrid-Domain Vector Fitting

Author

Lei, Chi-Un ; Wong, Ngai

Author_Institution

Dept. of Electr. & Electron. Eng., Univ. of Hong Kong, Kowloon

Volume

16

Issue

6

fYear

2009

fDate

6/1/2009 12:00:00 AM

Firstpage

533

Lastpage

537

Abstract

We present a discrete-time hybrid-domain vector fitting algorithm, called HD-VFz, for the IIR approximation of FIR filters with an arbitrary combination of time-and frequency-sampled responses. The core routine involves a two-step pole refinement process based on a linear least-squares solve and an eigenvalue problem. Through hybrid-domain data approximation and digital partial fraction basis with relative stability consideration, HD-VFz exhibits fast computation and remarkable fitting accuracy in both time and frequency domains.

Keywords

FIR filters; IIR filters; eigenvalues and eigenfunctions; frequency response; FIR filters; IIR approximation; digital partial fraction basis; discrete-time hybrid-domain vector fitting; eigenvalue problem; hybrid-domain data approximation; linear least-squares; time-and frequency-sampled responses; two-step pole refinement process; Approximation algorithms; Digital filters; Finite impulse response filter; Frequency; IIR filters; Numerical stability; Poles and zeros; Signal processing algorithms; Time domain analysis; Vectors; Approximation methods; IIR digital filters; identification; rational functions; vector fitting;

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/LSP.2009.2017478

Filename

4840634