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

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    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 languageEnglish
    Pages (from-to)225-231
    Number of pages7
    JournalSignal Processing
    Volume104
    DOIs
    Publication statusPublished - 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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