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    On Kalman filtering with faded measurements


    Dey, Subhrakanti and Leong, Alex S. and Evans, Jamie S. (2008) On Kalman filtering with faded measurements. In: 2008 46th Annual Allerton Conference on Communication, Control, and Computing. IEEE, pp. 607-614. ISBN 9781424429257

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    Abstract

    This paper considers a sensor network where single or multiple sensors amplify and forward their measurements of a common linear dynamical system (analog uncoded transmission) to a remote fusion centre via noisy fading wireless channels. We show that the expected error covariance (with respect to the fading process) of the time-varying Kalman filter is bounded and converges to a steady state value, based on some general earlier results on asymptotic stability of Kalman filters with random parameters. More importantly, we provide explicit expressions for sequences which can be used as upper bounds on the expected error covariance, for specific instances of fading distributions and scalar measurements (per sensor). Numerical results illustrate the effectiveness of these bounds.

    Item Type: Book Section
    Additional Information: Cite as: S. Dey, A. S. Leong and J. S. Evans, "On Kalman filtering with faded measurements," 2008 46th Annual Allerton Conference on Communication, Control, and Computing, 2008, pp. 607-614, doi: 10.1109/ALLERTON.2008.4797614.
    Keywords: Kalman; filtering; faded; measurements;
    Academic Unit: Faculty of Science and Engineering > Electronic Engineering
    Faculty of Science and Engineering > Research Institutes > Hamilton Institute
    Item ID: 14468
    Identification Number: https://doi.org/10.1109/ALLERTON.2008.4797614
    Depositing User: Subhrakanti Dey
    Date Deposited: 28 May 2021 13:47
    Publisher: IEEE
    Refereed: Yes
    URI:

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