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

By Wing-Kuen Ling and Kwok -Shun Tam

Abstract

In this paper, 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 the digital image processing and digital video processing

Topics: H610 Electronic Engineering
Publisher: IEEE Hong Kong Chapter on Signal Processing
Year: 2001
OAI identifier: oai:eprints.lincoln.ac.uk:3109

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Citations

  1. (1993). III, “A Class of Time Varying Wavelet Transforms,” doi

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