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    On Kalman Filtering with Fading Wireless Channels Governed by Power Control


    Quevedo, Daniel E., Ahlén, Anders, Leong, Alex S. and Dey, Subhrakanti (2011) On Kalman Filtering with Fading Wireless Channels Governed by Power Control. IFAC Proceedings Volumes, 44 (1). pp. 6586-6591. ISSN 1474-6670

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    Abstract

    We study stochastic stability for Kalman filtering over fading wireless channels where variable channel gains are counteracted by the use of power control to alleviate the effects of packet drops. The Kalman filter and the controller are located at a single gateway which acquires data from the wireless sensors. We establish sufficient conditions which ensure that the Kalman filter covariance matrix is exponentially bounded in norm. The conditions obtained are then used to formulate stabilizing optimal power allocation laws which minimize the total sensor power budget. In deriving the optimal power allocation laws, both statistical channel information and full channel information are considered. The effect of system instability on the power budget is also investigated for both these cases.
    Item Type: Article
    Additional Information: Cite as: Daniel E. Quevedo, Anders Ahlén, Alex S. Leong, Subhrakanti Dey, On Kalman Filtering with Fading Wireless Channels Governed by Power Control, IFAC Proceedings Volumes, Volume 44, Issue 1, 2011, Pages 6586-6591, ISSN 1474-6670, ISBN 9783902661937, https://doi.org/10.3182/20110828-6-IT-1002.01387.
    Keywords: State estimation; fading channels; packet dropouts; stochastic stability; power control;
    Academic Unit: Faculty of Science and Engineering > Electronic Engineering
    Faculty of Science and Engineering > Research Institutes > Hamilton Institute
    Item ID: 14482
    Identification Number: 10.3182/20110828-6-IT-1002.01387
    Depositing User: Subhrakanti Dey
    Date Deposited: 31 May 2021 16:23
    Journal or Publication Title: IFAC Proceedings Volumes
    Publisher: Elsevier
    Refereed: Yes
    Related URLs:
    URI: https://mu.eprints-hosting.org/id/eprint/14482
    Use Licence: This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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