On Kalman filtering over fading wireless channels with controlled transmission powers
2012 (English)In: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 48, no 7, 1306-1316 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2012. Vol. 48, no 7, 1306-1316 p.
State estimation, Fading channels, Packet dropouts, Stochastic stability, Power control
Research subject Electrical Engineering with specialization in Signal Processing
IdentifiersURN: urn:nbn:se:uu:diva-179928DOI: 10.1016/j.automatica.2012.03.025ISI: 000306615800010OAI: oai:DiVA.org:uu-179928DiVA: diva2:547163