l(2) - l(infinity) Suppression of Limit Cycles in Interfered Two-Dimensional Digital Filters: A Fornasini-Marchesini Model Case
- Authors
- Ahn, Choon Ki
- Issue Date
- 8월-2014
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
- Keywords
- Finite-word-length effect; Fornasini-Marchesini (FM) model; linear matrix inequality (LMI); l(2) - l(infinity) suppression; two-dimensional (2-D) digital filter
- Citation
- IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, v.61, no.8, pp.614 - 618
- Indexed
- SCIE
SCOPUS
- Journal Title
- IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
- Volume
- 61
- Number
- 8
- Start Page
- 614
- End Page
- 618
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/97767
- DOI
- 10.1109/TCSII.2014.2335072
- ISSN
- 1549-7747
- Abstract
- Recently, Ahn proposed an l(2)-l(infinity) stability criterion for interfered two-dimensional (2-D) digital filters described by the Roesser model. However, until now, no criteria for interfered 2-D digital filters in the Fornasini-Marchesini (FM) model have been studied. As a continuation of the results, this brief proposes a new criterion for the l(2) - l(infinity) suppression of limit cycles in interfered 2-D digital filters in the FMmodel. The proposed criterion ensures the asymptotic stability and l(2) - l(infinity) performance of 2-D digital filters. The effectiveness of the proposed criterion is demonstrated using numerical examples. The work in this brief and that of the Roesser model provide, as an integrity, systematic results on limit cycle suppression for 2-D digital filters in the l(2)-l(infinity) sense.
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