Two-dimensional delta-operator formulated discrete-time systems: state-space realization and its coefficient sensitivity properties

Author

Premaratne, K. ; Ekanayake, M.M. ; Suarez, J.I. ; Bauer, P.H.

Author_Institution

Dept. of Electr. & Comput. Eng., Miami Univ., Coral Gables, FL, USA

Volume

46

Issue

12

fYear

1998

fDate

12/1/1998 12:00:00 AM

Firstpage

3445

Lastpage

3449

Abstract

Delta-operator based implementation of one-dimensional (1-D) discrete-time systems has been the focus of considerable research activity because of its superior finite wordlength properties and possibility of addressing both continuous- and discrete-time systems in a unified manner. We investigate its corresponding two-dimensional (2-D) implementation by introducing the delta-operator based counterpart to the Roesser (1975) local state-space model, the corresponding gramians, and the notion of a balanced realization. The computation of the latter and coefficient sensitivity properties of the resulting implementations are also studied

Keywords

digital arithmetic; discrete time systems; filtering theory; mathematical operators; state-space methods; two-dimensional digital filters; 2D delta-operator; balanced realization; coefficient sensitivity; continuous-time systems; digital filters; discrete-time systems; finite wordlength properties; gramians; local state-space model; sampling time; state-space realization; Digital filters; Eigenvalues and eigenfunctions; Finite wordlength effects; Fixed-point arithmetic; Floating-point arithmetic; Multidimensional systems; Sampling methods; State-space methods; Two dimensional displays;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.735322

Filename

735322