Periodic and nonperiodic modes in two-dimensional digital filters

Tamal Bose, Dinesh Sarvate

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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)
Title of host publicationProceedings - IEEE International Symposium on Circuits and Systems
PublisherPubl by IEEE
Pages2998-3001
Number of pages4
Volume4
StatePublished - 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

Other

Other1990 IEEE International Symposium on Circuits and Systems Part 4 (of 4)
CityNew Orleans, LA, USA
Period5/1/905/3/90

Fingerprint

Digital filters
Electron energy levels
Trajectories

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Electronic, Optical and Magnetic Materials

Cite this

Bose, T., & Sarvate, D. (1990). Periodic and nonperiodic modes in two-dimensional digital filters. In Proceedings - IEEE International Symposium on Circuits and Systems (Vol. 4, pp. 2998-3001). Publ by IEEE.

Periodic and nonperiodic modes in two-dimensional digital filters. / Bose, Tamal; Sarvate, Dinesh.

Proceedings - IEEE International Symposium on Circuits and Systems. Vol. 4 Publ by IEEE, 1990. p. 2998-3001.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Bose, T & Sarvate, D 1990, Periodic and nonperiodic modes in two-dimensional digital filters. in Proceedings - IEEE International Symposium on Circuits and Systems. vol. 4, Publ by IEEE, pp. 2998-3001, 1990 IEEE International Symposium on Circuits and Systems Part 4 (of 4), New Orleans, LA, USA, 5/1/90.
Bose T, Sarvate D. Periodic and nonperiodic modes in two-dimensional digital filters. In Proceedings - IEEE International Symposium on Circuits and Systems. Vol. 4. Publ by IEEE. 1990. p. 2998-3001
Bose, Tamal ; Sarvate, Dinesh. / Periodic and nonperiodic modes in two-dimensional digital filters. Proceedings - IEEE International Symposium on Circuits and Systems. Vol. 4 Publ by IEEE, 1990. pp. 2998-3001
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