IOSS Criterion for the Absence of Limit Cycles in Interfered Digital Filters Employing Saturation Overflow Arithmetic
- Authors
- Ahn, Choon Ki
- Issue Date
- 6월-2013
- Publisher
- SPRINGER BIRKHAUSER
- Keywords
- Input/output-to-state stability (IOSS); Asymptotic stability; Digital filters; Finite wordlength effects; Linear matrix inequality (LMI)
- Citation
- CIRCUITS SYSTEMS AND SIGNAL PROCESSING, v.32, no.3, pp.1433 - 1441
- Indexed
- SCIE
SCOPUS
- Journal Title
- CIRCUITS SYSTEMS AND SIGNAL PROCESSING
- Volume
- 32
- Number
- 3
- Start Page
- 1433
- End Page
- 1441
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/103151
- DOI
- 10.1007/s00034-012-9520-0
- ISSN
- 0278-081X
- Abstract
- In this paper, a new criterion for the absence of limit cycles in fixed-point state-space digital filters with saturation overflow arithmetic and external interference is proposed via an input/output-to-state stability (IOSS) approach. The criterion ensures not only the asymptotic stability, but also the reduction of the effect of the external interference. This criterion is represented by linear matrix inequality (LMI) and, hence, is computationally tractable. Via a numerical example, we demonstrate the effectiveness of the proposed IOSS criterion.
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