Generalized Signal Richness Preservation Problem and Vandermonde-Form Preserving Matrices
Borching Su
Vaidyanathan, P.P.
California Inst. of Technol., Pasadena, CA;
This paper appears in: Signal Processing, IEEE Transactions on
Publication Date: May 2007
Volume: 55,
Issue: 5, Part 2
On page(s): 2239-2250
ISSN: 1053-587X
INSPEC Accession Number: 9427747
Digital Object Identifier: 10.1109/TSP.2007.892712
Current Version Published: 2007-04-23
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
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