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

1 January 1998

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Signal Processing

Vol. 46 (1) , 1-10
https://doi.org/10.1109/78.651159

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

This publication has 13 references indexed in Scilit:

Constrained least square design of FIR filters without specified transition bands
Published by Institute of Electrical and Electronics Engineers (IEEE) ,2002
Improved iterative methods for the design of quadrature mirror-image filter banks
IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 1996
Design of recursive differentiators with constant group-delay characteristics
Signal Processing, 1994
Design of quadrature mirror filters with linear phase in the frequency domain
IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 1992
A weighted least squares algorithm for quasi-equiripple FIR and IIR digital filter design
IEEE Transactions on Signal Processing, 1992
Design of IIR digital filters with arbitrary log magnitude function by WLS techniques
IEEE Transactions on Acoustics, Speech, and Signal Processing, 1990
An analytical least square solution to the design problem of two-dimensional FIR filters with quadrantally symmetric or antisymmetric frequency response
IEEE Transactions on Circuits and Systems, 1989
Design of almost minimax FIR filters in one and two dimensions by WLS techniques
IEEE Transactions on Circuits and Systems, 1986
A linear programming approach to recursive digital filter design with linear phase
IEEE Transactions on Circuits and Systems, 1982
Quadrantal symmetry associated with two-dimensional digital transfer functions
IEEE Transactions on Circuits and Systems, 1978