Novel Results on Generalized Dissipativity of Two-Dimensional Digital Filters
- Authors
- Ahn, Choon Ki; Shi, Peng; Karimi, Hamid Reza
- Issue Date
- 9월-2016
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
- Keywords
- Fornasini-Marchesini second (FMS) form; generalized dissipativity; interconnected filter; 2-D filter
- Citation
- IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, v.63, no.9, pp.893 - 897
- Indexed
- SCIE
SCOPUS
- Journal Title
- IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
- Volume
- 63
- Number
- 9
- Start Page
- 893
- End Page
- 897
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/87646
- DOI
- 10.1109/TCSII.2016.2535039
- ISSN
- 1549-7747
- Abstract
- Existing results on the generalized dissipativity of digital filters are limited to 1-D cases. This brief presents some novel results on the generalized dissipativity of 2-D filters in the discrete Fornasini-Marchesini second (FMS) form. More specifically, we propose a criterion to ascertain that single 2-D filters in the discrete FMS form are 2-D generalized dissipative. Using this result, a condition is established such that the interconnected 2-D filters in the discrete FMS form are 2-D generalized dissipative. Furthermore, the asymptotic stability of unforced interconnected 2-D filters is examined. It is shown that the results developed in our recent work for 1-D filters and in this brief for 2-D filters serve as an overall framework for the generalized dissipativity of digital filters.
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Collections - College of Engineering > School of Electrical Engineering > 1. Journal Articles
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