New LMI condition for the nonexistence of overflow oscillations in 2-D state-space digital filters using saturation arithmetic

被引：26

作者：

Singh, Vimal ^{[1
]}

机构：

[1] Atilim Univ, Dept Elect Elect Engn, TR-06836 Ankara, Turkey

来源：

DIGITAL SIGNAL PROCESSING | 2007年 / 17卷 / 01期

关键词：

asymptotic stability; digital filters; finite wordlength effects; multidimensional systems; nonlinear systems;

D O I：

10.1016/j.dsp.2006.01.003

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：

A new criterion for the nonexistence of overflow oscillations in 2-D state-space digital filters described by Roesser model using saturation arithmetic is presented. The criterion is in the form of a linear matrix inequality (LMI) and hence computationally tractable. The criterion is compared with an earlier LMI-based criterion due to Xiao and Hill. It turns out that the present criterion may uncover some new A (i.e., other than those arrived at via Xiao-Hill's criterion) for which the absence of overflow oscillations is assured. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：345 / 352

页数：8

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