Reduced order IIR approximation to FIR digital filters

Author

Betser, A. ; Zeheb, E.

Author_Institution

Dept. of Electr. Eng., Technion, Haifa, Israel

Volume

39

Issue

11

fYear

1991

fDate

11/1/1991 12:00:00 AM

Firstpage

2540

Lastpage

2544

Abstract

An algorithm for designing an infinite-impulse-response (IIR) stable filter using a finite-impulse-response (FIR) given filter, with the objective of reducing the delay and order, is described. The design is in the time domain using the least-squares-inverse algorithm, which is briefly described. In this method, the numerator of the approximated filter is part of the FIR filter itself and no calculations and minimization are needed to find the numerator coefficients (except finding the FIR roots). An error analysis between the given FIR and approximated IIR filters is provided. This error analysis enables the designer to fix a design parameter, often unnoted, keeping the energies of the approximated and original filters equal. Results and two illustrative examples are presented

Keywords

digital filters; error analysis; filtering and prediction theory; least squares approximations; time-domain synthesis; FIR digital filters; IIR approximation; IIR filters; error analysis; finite-impulse-response; infinite-impulse-response; least-squares-inverse algorithm; numerator coefficients; order reduction; stable filter; time domain; Algorithm design and analysis; Delay; Digital filters; Error analysis; Finite impulse response filter; IIR filters; Large scale integration; Least squares approximation; Least squares methods; Transfer functions;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.98009

Filename

98009