Two-dimensional periodic digital filters

Kyung Sub Joo; Tamal Bose

Two-dimensional periodic digital filters

Kyung Sub Joo
, Tamal Bose

Research output: Contribution to conference › Paper › peer-review

Abstract

Two-dimensional (2-D) periodically shift variant (PSV) digital filters are considered. The filters are formulated in the form of the Fornasini-Marchesini (FM) state-space model with periodic coefficients. This PSV model is then represented as a new shift-invariant system which is named the 'Kiok-Neon' model. This model has several advantages that include ease of analysis and reduced computations compared to the existing state-space models. An algorithm is developed that transforms any given 2-D PSV FM system to its equivalent 'Kiok-Neon' model. Invertibility of this model is an important consideration, especially in image scrambling applications. A condition is established for the invertibility of the 'Kiok-Neon' model of the 2-D PSV system. Also, the inverse system can be easily computed from the original.

Original language	English (US)
Pages	117-119
Number of pages	3
State	Published - 1996
Externally published	Yes
Event	Proceedings of the 1995 IEEE International Conference on Image Processing. Part 3 (of 3) - Washington, DC, USA Duration: Oct 23 1995 → Oct 26 1995

Other

Other	Proceedings of the 1995 IEEE International Conference on Image Processing. Part 3 (of 3)
City	Washington, DC, USA
Period	10/23/95 → 10/26/95

ASJC Scopus subject areas

Hardware and Architecture
Computer Vision and Pattern Recognition
Electrical and Electronic Engineering

Cite this

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title = "Two-dimensional periodic digital filters",

abstract = "Two-dimensional (2-D) periodically shift variant (PSV) digital filters are considered. The filters are formulated in the form of the Fornasini-Marchesini (FM) state-space model with periodic coefficients. This PSV model is then represented as a new shift-invariant system which is named the 'Kiok-Neon' model. This model has several advantages that include ease of analysis and reduced computations compared to the existing state-space models. An algorithm is developed that transforms any given 2-D PSV FM system to its equivalent 'Kiok-Neon' model. Invertibility of this model is an important consideration, especially in image scrambling applications. A condition is established for the invertibility of the 'Kiok-Neon' model of the 2-D PSV system. Also, the inverse system can be easily computed from the original.",

author = "\{Sub Joo\}, Kyung and Tamal Bose",

year = "1996",

language = "English (US)",

pages = "117--119",

note = "Proceedings of the 1995 IEEE International Conference on Image Processing. Part 3 (of 3) ; Conference date: 23-10-1995 Through 26-10-1995",

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TY - CONF

T1 - Two-dimensional periodic digital filters

AU - Sub Joo, Kyung

AU - Bose, Tamal

PY - 1996

Y1 - 1996

N2 - Two-dimensional (2-D) periodically shift variant (PSV) digital filters are considered. The filters are formulated in the form of the Fornasini-Marchesini (FM) state-space model with periodic coefficients. This PSV model is then represented as a new shift-invariant system which is named the 'Kiok-Neon' model. This model has several advantages that include ease of analysis and reduced computations compared to the existing state-space models. An algorithm is developed that transforms any given 2-D PSV FM system to its equivalent 'Kiok-Neon' model. Invertibility of this model is an important consideration, especially in image scrambling applications. A condition is established for the invertibility of the 'Kiok-Neon' model of the 2-D PSV system. Also, the inverse system can be easily computed from the original.

AB - Two-dimensional (2-D) periodically shift variant (PSV) digital filters are considered. The filters are formulated in the form of the Fornasini-Marchesini (FM) state-space model with periodic coefficients. This PSV model is then represented as a new shift-invariant system which is named the 'Kiok-Neon' model. This model has several advantages that include ease of analysis and reduced computations compared to the existing state-space models. An algorithm is developed that transforms any given 2-D PSV FM system to its equivalent 'Kiok-Neon' model. Invertibility of this model is an important consideration, especially in image scrambling applications. A condition is established for the invertibility of the 'Kiok-Neon' model of the 2-D PSV system. Also, the inverse system can be easily computed from the original.

UR - https://www.scopus.com/pages/publications/0029776326

UR - https://www.scopus.com/pages/publications/0029776326#tab=citedBy

M3 - Paper

AN - SCOPUS:0029776326

SP - 117

EP - 119

T2 - Proceedings of the 1995 IEEE International Conference on Image Processing. Part 3 (of 3)

Y2 - 23 October 1995 through 26 October 1995

ER -

Two-dimensional periodic digital filters

Abstract

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ASJC Scopus subject areas

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