Periodic and nonperiodic modes in two-dimensional digital filters

Tamal Bose, Dinesh Sarvate

Research output: Contribution to journalConference article

Abstract

The relationship between the periodicity of a two-dimensional sequence and its energy state diagram is investigated. Some examples are given which illustrate that if the initial conditions are not finite then the trajectory of the energy state diagram does not necessarily terminate on a closed curve, and conversely if the trajectory terminates on a closed curve then the sequence is not necessarily periodic. It is proven that if a two-dimensional sequence is periodic and finite initial conditions are used, then the trajectory of its energy state diagram terminates on a closed curve consisting of a finite number of points.

Original languageEnglish (US)
Pages (from-to)2998-3001
Number of pages4
JournalProceedings - IEEE International Symposium on Circuits and Systems
Volume4
StatePublished - Dec 1 1990
Externally publishedYes
Event1990 IEEE International Symposium on Circuits and Systems Part 4 (of 4) - New Orleans, LA, USA
Duration: May 1 1990May 3 1990

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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