Quevedo, Daniel E. and Ahlén, Anders and Leong, Alex S. and Dey, Subhrakanti (2012) On Kalman Filtering over Fading Wireless Channels with Controlled Transmission Powers. Automatica, 48 (7). pp. 1306-1316. ISSN 0005-1098

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Abstract

We study stochastic stability of centralized Kalman filtering for linear time-varying systems equipped with wireless sensors. Transmission is over fading channels where variable channel gains are counteracted by power control to alleviate the effects of packet drops. We establish sufficient conditions for the expected value of the Kalman filter covariance matrix to be exponentially bounded in norm. The conditions obtained are then used to formulate stabilizing power control policies which minimize the total sensor power budget. In deriving the optimal power control 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
Keywords:	State estimation; fading channels; packet dropouts; stochastic stability; power control;
Academic Unit:	Faculty of Science and Engineering > Electronic Engineering
Item ID:	12709
Identification Number:	https://doi.org/10.1016/j.automatica.2012.03.025
Depositing User:	Subhrakanti Dey
Date Deposited:	06 Apr 2020 11:18
Journal or Publication Title:	Automatica
Publisher:	Elsevier
Refereed:	Yes
URI:	Publisher
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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