Necessary and sufficient conditions for LTI systems to preserve signal richness

被引：0
|
作者：
Su, B [1 ]
Vaidyanathan, PP [1 ]
机构：
[1] CALTECH, Dept Elect Engn, Pasadena, CA 91125 USA
来源：
2005 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS (ISCAS), VOLS 1-6, CONFERENCE PROCEEDINGS | 2005年
关键词：
D O I：
暂无
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：
There are many ways to define richness of a discrete time signal. In this paper we consider a particular definition and explore the conditions under which a linear time invariant (LTI) system preserves the richness property. A set of necessary and sufficient conditions has been found. Using this, paraunitary and unimodular matrices can be shown not to preserve richness unless they are constant matrices (or a delayed version in the paraunitary case). A structured proof of the necessary and sufficient conditions is also presented.(1)
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页码：3035 / 3038
页数：4
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