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Published 2006 | public
Book Section - Chapter

Vandermonde-form Preserving Matrices And The Generalized Signal Richness Preservation Problem

Abstract

In this paper, a theoretical problem arising in digital communications, namely the generalized signal richness preservation problem, is addressed and studied. In order to solve the problem, a special class of square matrices, namely the "Vandermonde-form preserving" (VFP) matrices, is introduced and found to be highly relevant to the problem. Several properties of VFP matrices are studied in detail. The necessary and sufficient conditions of the problem have been found and a systematic proof is also presented.

Additional Information

© 2006 IEEE. Issue Date: Oct. 29 2006-Nov. 1 2006. Date of Current Version: 07 May 2007. Work supported in parts by the NSF grant CCF-0428326 and the Moore Fellowship of the California Institute of Technology.

Additional details

Created:
August 19, 2023
Modified:
January 13, 2024