• DocumentCode
    1558948
  • Title

    Error bounds for the nonlinear filtering of signals with small diffusion coefficients

  • Author

    Bobrovsky, B.-Z. ; Zakai, M.M. ; Zeitouni, Ofer

  • Author_Institution
    Dept. of Electron., Tel Aviv Univ., Israel
  • Volume
    34
  • Issue
    4
  • fYear
    1988
  • fDate
    7/1/1988 12:00:00 AM
  • Firstpage
    710
  • Lastpage
    721
  • Abstract
    New upper and lower bounds for the nonlinear filtering problem are presented. The lower bounds are especially useful in the region of small diffusion coefficients where previously known bounds are inefficient. The upper and lower bounds are shown to be tight. An example demonstrating the tightness of the bounds is presented
  • Keywords
    error statistics; filtering and prediction theory; signal processing; error bounds; lower bounds; nonlinear filtering; signal processing; small diffusion coefficients; upper bounds; Filtering; Laboratories; Mean square error methods; Nonlinear filters; Parameter estimation; Random variables; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.9770
  • Filename
    9770