A weighted least-squares method for the design of stable 1-D and 2-D IIR digital filters

Author

Lu, Wu-Sheng ; Pei, Soo-Chang ; Tseng, Chien-Cheng

Author_Institution

Dept. of Electr. & Comput. Eng., Victoria Univ., BC, Canada

Volume

46

Issue

1

fYear

1998

fDate

1/1/1998 12:00:00 AM

Firstpage

1

Lastpage

10

Abstract

We present a new approach to the least-squares design of stable infinite impulse response (IIR) digital filters. The design is accomplished by using an iterative scheme in which the denominator polynomial obtained from the preceding iteration is treated as a part of the weighting function, and each iteration is carried out by solving a standard quadratic programming problem that yields a stable rational function. When the iteration converges, a stable and truly least-squares solution is obtained. The method is then extended to address the least-squares design of stable IIR two-dimensional (2-D) filters. Examples are included to illustrate the proposed design techniques

Keywords

IIR filters; circuit optimisation; circuit stability; convergence of numerical methods; digital filters; filtering theory; iterative methods; least squares approximations; network synthesis; polynomials; quadratic programming; convergence; denominator polynomial; digital filters design; iterative scheme; least-squares design; least-squares solution; stable 1D IIR digital filters; stable 2D IIR digital filters; stable rational function; standard quadratic programming problem; weighted least-squares method; weighting function; Cost function; Design methodology; Digital filters; Finite impulse response filter; IIR filters; Least squares methods; Polynomials; Quadratic programming; Stability; Two dimensional displays;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.651159

Filename

651159