Abstract
Stability criteria have been proposed previously by Ahn for two-dimensional (2-D) digital filters described by the Roesser model with external interference. However, no stability criteria have yet been established for 2-D digital filters described by the Fornasini-Marchesini second model. In this paper, we propose a new realization criterion for 2-D digital filters in the Fornasini-Marchesini second model with saturation arithmetic and external interference. This new criterion guarantees that 2-D digital filters in this model are asymptotically stable with a guaranteed H∞ performance. The criterion is described by linear matrix inequalities (LMIs). Illustrative examples show the effectiveness of the proposed new criterion.
| Original language | English |
|---|---|
| Pages (from-to) | 225-231 |
| Number of pages | 7 |
| Journal | Signal Processing |
| Volume | 104 |
| DOIs | |
| Publication status | Published - 2014 Nov |
Keywords
- 2-D digital filters
- Finite wordlength effects
- Fornasini-Marchesini second model
- Linear matrix inequality (LMI)
ASJC Scopus subject areas
- Control and Systems Engineering
- Software
- Signal Processing
- Computer Vision and Pattern Recognition
- Electrical and Electronic Engineering