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ISCAS
2005
IEEE

Necessary and sufficient conditions for LTI systems to preserve signal richness

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Necessary and sufficient conditions for LTI systems to preserve signal richness
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
Borching Su, P. P. Vaidyanathan
Added 25 Jun 2010
Updated 25 Jun 2010
Type Conference
Year 2005
Where ISCAS
Authors Borching Su, P. P. Vaidyanathan
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