l(2) - l(infinity) Elimination of Overflow Oscillations in 2-D Digital Filters Described by Roesser Model With External Interference
- Authors
- Ahn, Choon Ki
- Issue Date
- Jun-2013
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
- Keywords
- External interference; finite word-length effect; linear matrix inequality (LMI); l(2) - l(infinity) criterion; two-dimensional (2-D) digital filter
- Citation
- IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, v.60, no.6, pp.361 - 365
- Indexed
- SCIE
SCOPUS
- Journal Title
- IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
- Volume
- 60
- Number
- 6
- Start Page
- 361
- End Page
- 365
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/103110
- DOI
- 10.1109/TCSII.2013.2258259
- ISSN
- 1549-7747
- Abstract
- Two-dimensional (2-D) digital filters can be corrupted by external interferences, but no stability criteria have yet been established. This brief proposes a new l(2) - l(infinity) stability criterion for the absence of limit cycles in 2-D digital filters that are described by Roesser model with external interference. Our new criterion ensures the attenuation of the effect of external interference on 2-D digital filters to a prescribed level. This criterion also guarantees the asymptotic stability result without external interference. The proposed criterion is represented in terms of linear matrix inequality, which can be verified by using existing numerical packages. We use an illustrative example to demonstrate the effectiveness of the proposed criterion.
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