Design of linear phase IIR filters via weighted least-squares approximation

Author

Chengshan Xiao ; Olivier, J.C. ; Agathoklis, Pan

Author_Institution

Dept. of Electr. Eng., Missouri Univ., Columbia, MO, USA

Volume

6

fYear

2001

fDate

2001

Firstpage

3817

Abstract

A new method for designing IIR digital filters with linear phase in the passband is proposed. This method is based on frequency-weighted least-square error optimization using the Broyden-Fletcher-Goldfarb-Shanno (BFGS) method. The gradient of the cost function with respect to the design parameters, required for the implementation of the BFGS method, is derived. The proposed method is started by obtaining an initial IIR filter design using model reduction of a linear phase FIR filter. Based on this initial design the cost function is minimized using the BFGS method. An example shows that the proposed method leads to very good filter designs

Keywords

IIR filters; digital filters; gradient methods; least squares approximations; linear phase filters; minimisation; reduced order systems; BFGS method; Broyden-Fletcher-Goldfarb-Shanno method; IIR filters; cost function gradient; cost function minimization; digital filters; frequency-weighted least-square error optimization; linear phase filters; model reduction; weighted least-squares approximation; Algorithm design and analysis; Cost function; Design methodology; Design optimization; Finite impulse response filter; Frequency; IIR filters; Iterative algorithms; Passband; Reduced order systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 2001. Proceedings. (ICASSP '01). 2001 IEEE International Conference on

Conference_Location

Salt Lake City, UT

ISSN

1520-6149

Print_ISBN

0-7803-7041-4

Type

conf

DOI

10.1109/ICASSP.2001.940675

Filename

940675