• DocumentCode
    1206001
  • Title

    High-order ergodicity of a complex harmonic process

  • Author

    Ferrari, A. ; Alengrin, G.

  • Author_Institution
    Univ. de Nice-Sophia Antipolis, Valbonne, France
  • Volume
    40
  • Issue
    4
  • fYear
    1994
  • fDate
    7/1/1994 12:00:00 AM
  • Firstpage
    1228
  • Lastpage
    1229
  • Abstract
    The paper deals with high-order moment-ergodic properties of a complex process composed of superimposed sinusoids. This is efficiently achieved using a state-space representation of the signal and Kronecker algebra. First, a simple formulation of the stationarity hypothesis is given, and finally, the moment-ergodic theorem for the associated moments is derived
  • Keywords
    algebra; harmonic analysis; numerical analysis; parameter estimation; spectral analysis; state-space methods; statistical analysis; Kronecker algebra; associated moments; complex harmonic process; high-order moment-ergodic properties; moment-ergodic theorem; state-space representation; stationarity hypothesis; superimposed sinusoids; Algebra; Autocorrelation; Colored noise; Delay; Frequency; Matrices; Phase detection; Phase estimation; Random variables;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.335949
  • Filename
    335949