• DocumentCode
    896108
  • Title

    Closed-form expressions for the Fredholm determinant for state-variable covariance functions

  • Author

    Collins, L.D.

  • Volume
    56
  • Issue
    3
  • fYear
    1968
  • fDate
    3/1/1968 12:00:00 AM
  • Firstpage
    350
  • Lastpage
    351
  • Abstract
    A new closed-form expression for the Fredholm determiant is derived for covariance functions which can be obtained as the output of a linear system which has a state-variable representation and which is driven with white noise. This new expression has the advantage of being the solution to a linear differential equation evaluated at one point.
  • Keywords
    Closed-form solution; Detectors; Eigenvalues and eigenfunctions; Equations; Estimation error; Estimation theory; Linear systems; Matrices; Nonlinear filters; Random processes;
  • fLanguage
    English
  • Journal_Title
    Proceedings of the IEEE
  • Publisher
    ieee
  • ISSN
    0018-9219
  • Type

    jour

  • DOI
    10.1109/PROC.1968.6301
  • Filename
    1448231