Expected power bound for two-dimensional digital filters in the Fornasini-Marchesini local state-space model

Choon Ki Ahn; Haranath Kar

doi:10.1109/LSP.2014.2382764

Expected power bound for two-dimensional digital filters in the Fornasini-Marchesini local state-space model

Choon Ki Ahn^*
, Haranath Kar

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

35 Citations (Scopus)

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 provide a systematic framework for EPB of 2-D digital filters.

Original language	English
Article number	6990531
Pages (from-to)	1065-1069
Number of pages	5
Journal	IEEE Signal Processing Letters
Volume	22
Issue number	8
DOIs	https://doi.org/10.1109/LSP.2014.2382764
Publication status	Published - 2015 Aug 1

Bibliographical note

Publisher Copyright:
© 2014 IEEE.

Keywords

Expected power bound (EPB)
Fornasini-Marchesini local state-space (FMLSS) model
Wiener process noise
two-dimensional (2-D) digital filter

ASJC Scopus subject areas

Signal Processing
Electrical and Electronic Engineering
Applied Mathematics

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10.1109/LSP.2014.2382764

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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 provide a systematic framework for EPB of 2-D digital filters.",

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Expected power bound for two-dimensional digital filters in the Fornasini-Marchesini local state-space model

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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