Abstract
This brief considers the two-dimensional (2-D) passivity performance analysis problem of 2-D digital filters in the Fornasini-Marchesini local state-space (FM LSS) form. The purpose is to establish a new criterion in terms of linear matrix inequality such that the 2-D digital filters in the FM LSS form ensure 2-D passivity performance with a storage function. Moreover, this brief reveals that the 2-D digital filters exhibit the 2-D finite-gain performance under the proposed criterion. Without interference, the criterion guarantees the asymptotic stability of 2-D digital filters. An application example to a 2-D low-pass filter is given to demonstrate the usefulness of the presented passivity criterion. The criteria in this brief and in a previous work of one of the authors, as a whole, give methodical results for the 2-D passive removal of the overflow oscillation of 2-D digital filters with external inferences.
Original language | English |
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Article number | 7111232 |
Pages (from-to) | 871-875 |
Number of pages | 5 |
Journal | IEEE Transactions on Circuits and Systems II: Express Briefs |
Volume | 62 |
Issue number | 9 |
DOIs | |
Publication status | Published - 2015 Sept 1 |
Keywords
- Fornasini-Marchesini local state-space (FM LSS) model
- Passivity
- linear matrix inequality (LMI)
- two-dimensional (2-D) digital filter
ASJC Scopus subject areas
- Electrical and Electronic Engineering