A technique for reduction of uncertain FIR filters

Author

Lim, A.G. ; Sreeram, V. ; Zeheb, E.

Author_Institution

Dept. of Electr. & Electron. Eng., Univ. of Western Australia, Crawley, WA, Australia

Volume

4

fYear

2003

Abstract

In this paper, an algorithm for designing an IIR filter from a given uncertain FIR filter is proposed. An approach to properly assign the uncertainties in the FIR polynomial transfer function, to two parts of its factorization, is cleverly used. The resulting approximated IIR filter is inherently stable. The method proposed is in the time domain, based on the LSI approximation. An example of reducing a 16^th order interval FIR filter to a 4^th order numerator order over a 2^nd order denominator order IIR filter is presented to illustrate the design method.

Keywords

FIR filters; IIR filters; circuit simulation; circuit stability; digital filters; least squares approximations; network synthesis; polynomial approximation; reduced order systems; time-domain synthesis; transfer functions; FIR digital filter; FIR polynomial transfer function uncertainty assignment; LSI approximation; approximated IIR filter; denominator order filter; filter order interval; filter stability; least squares inverse approximation; numerator order filter; polynomial transfer function factorization; time domain synthesis; uncertain FIR filter order reduction; Algorithm design and analysis; Design engineering; Digital filters; Finite impulse response filter; IIR filters; Large scale integration; Least squares approximation; Polynomials; Road transportation; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2003. ISCAS '03. Proceedings of the 2003 International Symposium on

Print_ISBN

0-7803-7761-3

Type

conf

DOI

10.1109/ISCAS.2003.1206180

Filename

1206180