• DocumentCode
    797928
  • Title

    Invertibility conditions of a class of moment matrices and applications

  • Author

    Bondon, Pascal

  • Author_Institution
    Lab. des Signaux et Syst., CNRS, Gif-sur-Yvette, France
  • Volume
    41
  • Issue
    4
  • fYear
    1995
  • fDate
    7/1/1995 12:00:00 AM
  • Firstpage
    1196
  • Lastpage
    1199
  • Abstract
    We consider a multivariable polynomial with random variables as arguments. All the monoids of this polynomial are arranged to define a random vector for which we study the correlation matrix. We establish necessary and sufficient invertibility conditions of this matrix, and investigate some applications
  • Keywords
    Hankel matrices; correlation theory; higher order statistics; nonlinear systems; parameter estimation; polynomial matrices; correlation matrix; deterministic parameter estimation; invertibility conditions; moment matrices; monoids; multivariable polynomial; nonlinear systems; random variables; random vector; Bonding; Covariance matrix; Deconvolution; Equations; Filtering; Filters; Polynomials; Random processes; Random variables; Statistics;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.391271
  • Filename
    391271
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=797928