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https://hdl.handle.net/2440/112343
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Type: | Journal article |
Title: | Novel results on generalized dissipativity of two-dimensional digital filters |
Author: | Ahn, C. Shi, P. Karimi, H. |
Citation: | IEEE Transactions on Circuits and Systems, Part 2: Express Briefs, 2016; 63(9):893-897 |
Publisher: | IEEE |
Issue Date: | 2016 |
ISSN: | 1549-7747 1558-3791 |
Statement of Responsibility: | Choon Ki Ahn, Peng Shi, Hamid Reza Karimi |
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. |
Keywords: | Fornasini–Marchesini second (FMS) form; generalized dissipativity; interconnected filter; 2-D filter |
Rights: | © 2016 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission. See http://www.ieee.org/publications_standards/publications/rights/index.html for more information. |
DOI: | 10.1109/TCSII.2016.2535039 |
Published version: | http://dx.doi.org/10.1109/tcsii.2016.2535039 |
Appears in Collections: | Aurora harvest 8 Electrical and Electronic Engineering publications |
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