A new realization criterion for 2-D digital filters in the Fornasini-Marchesini second model with interference

Choon Ki Ahn

doi:10.1016/j.sigpro.2014.03.035

A new realization criterion for 2-D digital filters in the Fornasini-Marchesini second model with interference

Choon Ki Ahn

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

Abstract

Stability criteria have been proposed previously by Ahn for two-dimensional (2-D) digital filters described by the Roesser model with external interference. However, no stability criteria have yet been established for 2-D digital filters described by the Fornasini-Marchesini second model. In this paper, we propose a new realization criterion for 2-D digital filters in the Fornasini-Marchesini second model with saturation arithmetic and external interference. This new criterion guarantees that 2-D digital filters in this model are asymptotically stable with a guaranteed ^H∞ performance. The criterion is described by linear matrix inequalities (LMIs). Illustrative examples show the effectiveness of the proposed new criterion.

Original language	English
Pages (from-to)	225-231
Number of pages	7
Journal	Signal Processing
Volume	104
DOIs	https://doi.org/10.1016/j.sigpro.2014.03.035
Publication status	Published - 2014 Nov

Bibliographical note

Funding Information:
This paper was supported by a Korea University grant.

Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.

Keywords

2-D digital filters
Finite wordlength effects
Fornasini-Marchesini second model
Linear matrix inequality (LMI)

ASJC Scopus subject areas

Control and Systems Engineering
Software
Signal Processing
Computer Vision and Pattern Recognition
Electrical and Electronic Engineering

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10.1016/j.sigpro.2014.03.035

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abstract = "Stability criteria have been proposed previously by Ahn for two-dimensional (2-D) digital filters described by the Roesser model with external interference. However, no stability criteria have yet been established for 2-D digital filters described by the Fornasini-Marchesini second model. In this paper, we propose a new realization criterion for 2-D digital filters in the Fornasini-Marchesini second model with saturation arithmetic and external interference. This new criterion guarantees that 2-D digital filters in this model are asymptotically stable with a guaranteed H∞ performance. The criterion is described by linear matrix inequalities (LMIs). Illustrative examples show the effectiveness of the proposed new criterion.",

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year = "2014",

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doi = "10.1016/j.sigpro.2014.03.035",

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T1 - A new realization criterion for 2-D digital filters in the Fornasini-Marchesini second model with interference

AU - Ahn, Choon Ki

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AB - Stability criteria have been proposed previously by Ahn for two-dimensional (2-D) digital filters described by the Roesser model with external interference. However, no stability criteria have yet been established for 2-D digital filters described by the Fornasini-Marchesini second model. In this paper, we propose a new realization criterion for 2-D digital filters in the Fornasini-Marchesini second model with saturation arithmetic and external interference. This new criterion guarantees that 2-D digital filters in this model are asymptotically stable with a guaranteed H∞ performance. The criterion is described by linear matrix inequalities (LMIs). Illustrative examples show the effectiveness of the proposed new criterion.

KW - 2-D digital filters

KW - Finite wordlength effects

KW - Fornasini-Marchesini second model

KW - Linear matrix inequality (LMI)

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JO - Signal Processing

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A new realization criterion for 2-D digital filters in the Fornasini-Marchesini second model with interference

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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