Theory of discrete time SISO linear (L,M) shift invariant system

Author

Ling, Wing-Kuen ; Tam, P.K.S.

Author_Institution

Dept. of Electron. & Inf. Eng., Hong Kong Polytech., Kowloon, China

fYear

2001

fDate

2001

Firstpage

233

Lastpage

235

Abstract

We have characterized the discrete time single input single output (SISO) linear (L,M) shift invariant system by a two-dimensional kernel function and a filter bank structure. Based on the characterization, we have investigated the conditions for the stability, the invertibility, the causality and the finite response properties of a discrete time SISO linear (L,M) shift invariant system. The advantages of the analysis is that a linear time varying system can be analyzed and designed through a finite number of one-dimensional kernel functions and linear time invariant (LTI) filters. Hence, it facilitates the analysis and the design of a linear time varying system, such as an L/M rate changer used in digital image processing and digital video processing

Keywords

discrete time systems; filtering theory; image processing; video signal processing; 2D kernel function; L/M rate changer; causality; digital image processing; digital video processing; discrete time SISO linear (LM) shift invariant system; filter bank structure; finite response properties; invertibility; linear time invariant filters; linear time varying system; stability; Difference equations; Digital images; Filter bank; Frequency response; Image analysis; Kernel; Nonlinear filters; Stability; Switching systems; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Multimedia, Video and Speech Processing, 2001. Proceedings of 2001 International Symposium on

Conference_Location

Hong Kong

Print_ISBN

962-85766-2-3

Type

conf

DOI

10.1109/ISIMP.2001.925375

Filename

925375