SUFFICIENT CONDITIONS FOR THE NONEXISTENCE OF LIMIT-CYCLES IN 2-DIMENSIONAL DIGITAL-FILTERS

被引：9

作者：

ELAGIZI, NG

FAHMY, MM

机构：

[1] Department of Electrical Engineering, Queen's University, Kingston, Ont. K7L 3N6, Canada

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS | 1979年 / 26卷 / 06期

关键词：

D O I：

10.1109/TCS.1979.1084648

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：

The stability of the two classes of two-dimensional digital filters defined by Fl: Xi+ Ij+1 = Qr[axi+ IJ + bxiJ+ 1 + cXiJ] and F2: Xi+lJ+l = QR[axi+lJ] + QR[bxiJ+l] Is studied. Here QRis the rounding operator, and fixed-point arithmetic is used. Sufficient conditions for the stability of F 1 and necessary and sufficient conditions for the stability of F2 are derived. For the more general case of higher order two-dimensional (2-D) digital filters sufficient conditions for the nonexistence of separable 2-D limit cycles are derived by extending the results of Claasen et al. [1]. © 1979 IEEE

引用

页码：402 / 406

页数：5

共 4 条

[1] CHANG TL, 1977, IEEE T CIRCUITS SYST, V24, P15
[2] FREQUENCY DOMAIN CRITERIA FOR ABSENCE OF ZERO-INPUT LIMIT CYCLES IN NONLINEAR DISCRETE-TIME SYSTEMS, WITH APPLICATIONS TO DIGITAL-FILTERS
CLAASEN, T
MECKLENBRAUKER, WFG
PEEK, JBH
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1975, CA22 (03): : 232 - 239
[3] LIMIT CYCLE OSCILLATIONS IN FIRST-ORDER 2-DIMENSIONAL DIGITAL-FILTERS
MARIA, GA
FAHMY, MM
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1975, CA22 (03): : 246 - 251
[4] LIMIT CYCLE OSCILLATIONS IN A CASCADE OF FIRST-ORDER AND SECOND-ORDER DIGITAL SECTIONS
MARIA, GA
FAHMY, MM
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1975, CA22 (02): : 131 - 134

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