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.
Bibliographical notePublisher Copyright:
© 2014 IEEE.
- 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