• DocumentCode
    923858
  • Title

    Spectral factorization of random processes with multiplicity one

  • Author

    Halyo, N.

  • Volume
    60
  • Issue
    8
  • fYear
    1972
  • Firstpage
    1006
  • Lastpage
    1007
  • Abstract
    A fairly general treatment of the spectral factorization problem for scalar processes is presented. Necessary and sufficient conditions for the existence of a scalar dynamic system generating a given covariance function and equations whose solutions yield the system parameters are given. The processes considered are of second order with zero mean, Gaussian, and continuous in quadratic mean; initial conditions are relaxed.
  • Keywords
    Additive white noise; Equations; Filters; Hilbert space; Linear systems; Random processes; System identification; Technological innovation; White noise;
  • fLanguage
    English
  • Journal_Title
    Proceedings of the IEEE
  • Publisher
    ieee
  • ISSN
    0018-9219
  • Type

    jour

  • DOI
    10.1109/PROC.1972.8835
  • Filename
    1450765