On 2-D periodically shift variant digital filters

Kyung Sub Joo, Sreeraman Rajan, Tamal Bose

Research output: Contribution to conferencePaper

2 Scopus citations

Abstract

Two-dimensional (2-D) periodically shift variant (PSV) digital filters are considered. These filters have applications in processing video signals with cyclostationary noise, scrambling of digital images, and in 2-D multirate signal processing. The filters are formulated in the form of a Givone-Roesser (GR) state-space model with periodic coefficients. This PSV model is then represented in block form as a shift-invariant system which also has the same GR state-space form. This block form has reduced computations and ease of analysis. An algorithm is developed that transforms any given 2-D PSV GR system to its equivalent shift-invariant model. Invertibility of this model is an important consideration, especially in image scrambling applications. A condition is established for the invertibility of the shift-invariant model of the 2-D PSV system. Also, the inverse system can be easily computed from the original.

Original languageEnglish (US)
Pages592-595
Number of pages4
StatePublished - Dec 1 1995
Externally publishedYes
EventProceedings of the 1995 IEEE 38th Midwest Symposium on Circuits and Systems. Part 1 (of 2) - Rio de Janeiro, Braz
Duration: Aug 13 1995Aug 16 1995

Other

OtherProceedings of the 1995 IEEE 38th Midwest Symposium on Circuits and Systems. Part 1 (of 2)
CityRio de Janeiro, Braz
Period8/13/958/16/95

ASJC Scopus subject areas

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

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    Joo, K. S., Rajan, S., & Bose, T. (1995). On 2-D periodically shift variant digital filters. 592-595. Paper presented at Proceedings of the 1995 IEEE 38th Midwest Symposium on Circuits and Systems. Part 1 (of 2), Rio de Janeiro, Braz, .