Expected Power Bound for Two-Dimensional Digital Filters in the Fornasini-Marchesini Local State-Space Model

被引：31

作者：

Ahn, Choon Ki ^{[1
]}

Kar, Haranath ^{[2
]}

机构：

[1] Korea Univ, Sch Elect Engn, Seoul 136701, South Korea

[2] Motilal Nehru Natl Inst Technol Allahabad, Dept Elect & Commun Engn, Allahabad 211004, Uttar Pradesh, India

来源：

IEEE SIGNAL PROCESSING LETTERS | 2015年 / 22卷 / 08期

基金：

新加坡国家研究基金会;

关键词：

Expected power bound (EPB); Fornasini-Marchesini local state-space (FMLSS) model; two-dimensional (2-D) digital filter; Wiener process noise; 2-D DISCRETE-SYSTEMS; GLOBAL ASYMPTOTIC STABILITY; 2ND MODEL; ROESSER MODEL; OVERFLOW OSCILLATIONS; IMPROVED CRITERION; ROBUST STABILITY; ELIMINATION; L(2);

D O I：

10.1109/LSP.2014.2382764

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

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.

引用

页码：1065 / 1069

页数：5

共 17 条

[1] Stability of two-dimensional digital filters described by the Fornasini-Marchesini second model with quantisation and overflow
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[3] l2 - l∞ Suppression of Limit Cycles in Interfered Two-Dimensional Digital Filters: A Fornasini-Marchesini Model Case
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[4] Expected power bound and stability of two-dimensional digital filters with multiplicative noise in the FMLSS model *
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[6] Regional stability of two-dimensional nonlinear polynomial Fornasini-Marchesini systems
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[7] A new realization criterion for 2-D digital filters in the Fornasini-Marchesini second model with interference
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[8] Criterion for non-existence of limit cycles in 2D state-space digital filters described by the Fornasini-Marchesini second model with finite wordlength non-linearities
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[9] Prevention of Overflow Oscillations in Fixed-Point 2D Digital Filters Based on the Fornasini-Marchesini Second Model
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[10] Two-dimensional digital filters described by Roesser model with interference attenuation
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