A STABILITY ANALYSIS OF 2-DIMENSIONAL NONLINEAR DIGITAL STATE-SPACE FILTERS

被引：31

作者：

BAUER, PH ^{[1
]}

JURY, EI ^{[1
]}

机构：

[1] UNIV MIAMI,DEPT ELECT & COMP ENGN,CORAL GABLES,FL 33124

来源：

IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING | 1990年 / 38卷 / 09期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1109/29.60084

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

Two different methods for a stability analysis of two-dimensional (2-D) nonlinear discrete state-space systems under zero input conditions are provided. The first method reduces the task of testing a 2-D discrete nonlinear or shift-varying system to a single 2-D linear stability test of a system matrix with nonnegative system matrix entries. The second method is based on a number of norm tests for products of extreme matrices and can be considered the two-dimensional counterpart of the method for one-dimensional systems described in [l]–[3]. Both of the introduced methods are based on the sector description of the nonlinearity and can be applied to analyze digital filter stability under finite word-length effects. © 1990 IEEE

引用

页码：1578 / 1586

页数：9

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