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Expected Power Bound for Two-Dimensional Digital Filters in the Fornasini-Marchesini Local State-Space Model
- Authors
- Ahn, Choon Ki; Kar, Haranath
- Issue Date
- 8월-2015
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
- Keywords
- Expected power bound (EPB); Fornasini-Marchesini local state-space (FMLSS) model; two-dimensional (2-D) digital filter; Wiener process noise
- Citation
- IEEE SIGNAL PROCESSING LETTERS, v.22, no.8, pp.1065 - 1069
- Indexed
- SCIE
SCOPUS
- Journal Title
- IEEE SIGNAL PROCESSING LETTERS
- Volume
- 22
- Number
- 8
- Start Page
- 1065
- End Page
- 1069
- ISSN
- 1070-9908
- Abstract
- This letter examines the expected power bound (EPB) for two-dimensional (2-D) digital filters in the Fornasini-Marchesini local state-space (FMLSS) model with Wiener process noise. The goal of this letter is to establish a new criterion whereby 2-D digital filters in the FMLSS form have a 2-D EPB. The criterion also ensures asymptotic stability without Wiener process noise. A numerical example demonstrates the usefulness of the proposed result. The criterion in the letter and that in [1] provide a systematic framework for EPB of 2-D digital filters.
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