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)

引用

页码：3035 / 3038

页数：4

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