• DocumentCode
    1141919
  • Title

    A Simple Development of the Wiener-Hopf Equation and the Derived Kalman Filter

  • Author

    Martin, J. Campbell

  • Author_Institution
    Clemson University Clemson, S. C. 29631
  • Issue
    6
  • fYear
    1969
  • Firstpage
    980
  • Lastpage
    983
  • Abstract
    The Wiener-Hopf equation is developed using only a knowledge of elementary calculus and the definition of ensemble average from statistics. Then using the Leibniz equation for differentiating an integral, the Kalman filter and its relation to orthogonal projection is presented.
  • Keywords
    Calculus; Control systems; Differential equations; Electric variables control; Filtering theory; Filters; Integral equations; Noise measurement; Statistics; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Aerospace and Electronic Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9251
  • Type

    jour

  • DOI
    10.1109/TAES.1969.309975
  • Filename
    4103431