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.
Original language | English |
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Article number | 7419904 |
Pages (from-to) | 893-897 |
Number of pages | 5 |
Journal | IEEE Transactions on Circuits and Systems II: Express Briefs |
Volume | 63 |
Issue number | 9 |
DOIs | |
Publication status | Published - 2016 Sept |
Keywords
- 2-D filter
- Fornasini-Marchesini second (FMS) form
- generalized dissipativity
- interconnected filter
ASJC Scopus subject areas
- Electrical and Electronic Engineering