A design method for separable-denominator 2D IIR filters using a stability criterion based on the system matrix

Author

Miyata, Toma ; Aikawa, Naoyuki ; Sugita, Yasunori ; Yoshikawa, Toshinori

Author_Institution

Grad. Sch. of Eng., Nihon Univ., Koriyama

fYear

2008

fDate

Aug. 31 2008-Sept. 3 2008

Firstpage

826

Lastpage

829

Abstract

In this paper, we propose designing method for separable-denominator two-dimensional Infinite Impulse Response (IIR) filters (separable 2D IIR filters) by Successive Projection (SP) methods using a stability criterion based on the system matrix. It is generally known that separable 2D IIR filters are stable if and only if each of the denominators is stable. Therefore, the stability criteria of 1D IIR filters can be used for separable 2D IIR filters. A stability criterion based on the system matrix is a necessary and sufficient condition to guarantee stability in 1D IIR filters. Therefore, separable 2D IIR filters obtained by the proposed method have a smaller error ripple than those obtained by the conventional method.

Keywords

IIR filters; matrix algebra; stability; infinite impulse response filters; separable-denominator 2D IIR filters; stability criterion; successive projection methods; system matrix; Design methodology; IIR filters; Stability criteria;

fLanguage

English

Publisher

ieee

Conference_Titel

Electronics, Circuits and Systems, 2008. ICECS 2008. 15th IEEE International Conference on

Conference_Location

St. Julien´s

Print_ISBN

978-1-4244-2181-7

Electronic_ISBN

978-1-4244-2182-4

Type

conf

DOI

10.1109/ICECS.2008.4674981

Filename

4674981