• DocumentCode
    782301
  • Title

    Generalized Signal Richness Preservation Problem and Vandermonde-Form Preserving Matrices

  • Author

    Su, Borching ; Vaidyanathan, P.P.

  • Author_Institution
    California Inst. of Technol., Pasadena, CA
  • Volume
    55
  • Issue
    5
  • fYear
    2007
  • fDate
    5/1/2007 12:00:00 AM
  • Firstpage
    2239
  • Lastpage
    2250
  • 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
  • Keywords
    digital communication; matrix algebra; signal processing; Vandermonde-form preserving matrices; digital communications; generalized signal richness preservation problem; Digital communication; Guidelines; Signal processing; Sufficient conditions; Transmitters; Vectors; Blind identification; greatest common divisor; matrix theory; signal richness;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/TSP.2007.892712
  • Filename
    4156428