• DocumentCode
    3377986
  • Title

    Discrete-time Smoothing Formulas

  • Author

    Einicke, Garry A.

  • Author_Institution
    CSIRO - Exploration & Min., Pullenvale, QLD
  • fYear
    2005
  • fDate
    21-24 Nov. 2005
  • Firstpage
    1
  • Lastpage
    5
  • Abstract
    The paper presents the discrete-time minimum- variance fixed-interval smoother for linear output estimation problems and an extended Kalman smoother for nonlinear problems. The solutions involve a cascade of a Kalman predictor and an adjoint Kalman predictor. Sufficient conditions for the asymptotic convergence of the underlying Riccati equation and optimal smoother performance are developed. Speech enhancement and nonlinear demodulation examples are described which demonstrate that linear and nonlinear smoothers can provide performance benefits.
  • Keywords
    Kalman filters; Riccati equations; smoothing methods; Kalman predictor; Kalman smoother; Riccati equation; discrete-time smoothing formula; linear output estimation; minimum-variance fixed-interval smoother; nonlinear problem; Estimation error; Filtering; Frequency domain analysis; Kalman filters; Mercury (metals); Nonlinear equations; Riccati equations; Smoothing methods; Speech enhancement; Sufficient conditions; Discrete-time smoothing; fixed-interval smoothing; non-causal filtering;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    TENCON 2005 2005 IEEE Region 10
  • Conference_Location
    Melbourne, Qld.
  • Print_ISBN
    0-7803-9311-2
  • Electronic_ISBN
    0-7803-9312-0
  • Type

    conf

  • DOI
    10.1109/TENCON.2005.301074
  • Filename
    4084981