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|Title:||Novel results on generalized dissipativity of two-dimensional digital filters|
|Citation:||IEEE Transactions on Circuits and Systems II: Express Briefs, 2016; 63(9):893-897|
|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.|
|Appears in Collections:||Electrical and Electronic Engineering publications|
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