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

Choon Ki Ahn, Haranath Kar

Research output: Contribution to journalArticle

23 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 languageEnglish
Article number6990531
Pages (from-to)1065-1069
Number of pages5
JournalIEEE Signal Processing Letters
Volume22
Issue number8
DOIs
Publication statusPublished - 2015 Aug 1

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Digital Filter
State-space Model
Digital filters
Wiener Process
Space Form
Asymptotic stability
Asymptotic Stability
State Space
Numerical Examples
Demonstrate

Keywords

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

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Signal Processing
  • Applied Mathematics

Cite this

Expected power bound for two-dimensional digital filters in the Fornasini-Marchesini local state-space model. / Ahn, Choon Ki; Kar, Haranath.

In: IEEE Signal Processing Letters, Vol. 22, No. 8, 6990531, 01.08.2015, p. 1065-1069.

Research output: Contribution to journalArticle

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