• DocumentCode
    891644
  • Title

    Formula for output autocorrelation and spectrum of a Volterra system with stationary Gaussian input

  • Author

    Barrett, J.F.

  • Author_Institution
    University of Technology Eindhoven, Department of Electrical Engineering, Eindhoven, Netherlands
  • Volume
    127
  • Issue
    6
  • fYear
    1980
  • fDate
    11/1/1980 12:00:00 AM
  • Firstpage
    286
  • Lastpage
    289
  • Abstract
    It is shown how the output autocorrelation and spectrum of a time-invariant Volterra system with stationary Gaussian input can conveniently be found by converting the Volterra series into a Hermite functional series and then making use of the orthogonality property. The paper extends previous work by the author to derive the well-known formula of Bedrosian-Rice.
  • Keywords
    nonlinear systems; series (mathematics); Hermite functional series; Volterra series; nonlinear systems; orthogonality; output autocorrelation; stationary Gaussian input;
  • fLanguage
    English
  • Journal_Title
    Control Theory and Applications, IEE Proceedings D
  • Publisher
    iet
  • ISSN
    0143-7054
  • Type

    jour

  • DOI
    10.1049/ip-d.1980.0049
  • Filename
    4642021