Cascade-parallel realization of 2-D separable-denominator transfer functions using a variant partial-fraction expansion

Author

Guo, Tong-Yi ; Hwang, Chyi

Author_Institution

Dept. of Electr. Eng., Nat. Kaohsiung Inst. of Technol., Taiwan

Volume

37

Issue

1

fYear

1990

fDate

1/1/1990 12:00:00 AM

Firstpage

144

Lastpage

149

Abstract

A direct procedure based on using a variant partial-fraction expansion (VPFE) is presented for finding a canonical minimal realization of cascade-parallel structure for 2-D transfer functions having a separable denominator. A similarity transforming matrix that transforms a 2-D separable-denominator state-space model from a phase-variable canonical form to the VPFE canonical form is presented. A numerical example is provided to illustrate the procedure

Keywords

cascade networks; matrix algebra; state-space methods; transfer functions; two-dimensional digital filters; 2D transfer functions; canonical minimal realization; cascade-parallel structure; direct procedure; phase-variable canonical form; separable-denominator; similarity transforming matrix; state-space model; variant partial-fraction expansion; Controllability; Costs; Digital filters; Digital signal processing; Frequency domain analysis; Linear systems; Observability; Reduced order systems; Transfer functions; Two dimensional displays;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/31.45705

Filename

45705