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

Abstract

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.

Generalized Signal Richness Preservation Problem and Vandermonde-Form Preserving Matrices

“…Finally, Section VII gives the conclusion and possible future directions. Some results of this paper have been presented in a conference [15].…”