A STUDY OF BOUNDS ON LIMIT-CYCLES IN DIGITAL-FILTERS

被引:0
|
作者
SHAFIK, EN
SANDBERG, IW
机构
[1] Department of Electrical and Computer Engineering, The University of Texas at Austin, Austin, 78712, Texas
关键词
Bounds - Quantization errors - Real similarity transformations - Self sustained limit cycles;
D O I
10.1007/BF01204681
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
We give bounds on the self-sustained limit cycles in fixed-point implementations of state-variable-form digital filters having general stable system matrices. These bounds, which are period independent and which concern limit cycles due to quantization errors in physical realizations of digital filters, are given in closed form for second-order sections. A numerical comparison shows that the bounds are smaller than corresponding ones reported in the literature. This is due to our use of real similarity transformations.
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页码:725 / 734
页数:10
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