Title :
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
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;
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
DOI :
10.1109/ISIMP.2001.925375
