Leong, Alex S. and Dey, Subhrakanti and Evans, Jamie S. (2011) Asymptotics and power allocation for state estimation over fading channels. IEEE Transactions on Signal Processing, 47 (1). pp. 611-633. ISSN 1053-587X

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Abstract

State estimation of linear systems using analog amplify and forwarding with multiple sensors, for both multiple access and orthogonal access schemes is considered. Optimal state estimation can be achieved at the fusion center using a time-varying Kalman filter. We show that in many situations, the estimation error covariance decays at a rate of 1=M when the number of sensors M is large. We consider optimal allocation of transmission powers that 1) minimizes the sum power usage subject to an error covariance constraint, and 2) minimizes the error covariance subject to a sum power constraint. In the case of fading channels with channel-state information, the optimization problems are solved using a greedy approach, while for fading channels without channel state information (CSI) but with channel statistics available, a suboptimal linear estimator is derived.

Item Type:	Article
Keywords:	Asymptotics; power allocation; state estimation; fading channels;
Academic Unit:	Faculty of Science and Engineering > Mathematical Physics
Item ID:	12712
Identification Number:	https://doi.org/10.1109/TAES.2011.5705695
Depositing User:	Subhrakanti Dey
Date Deposited:	07 Apr 2020 09:04
Journal or Publication Title:	IEEE Transactions on Signal Processing
Publisher:	Institute of Electrical and Electronics Engineers
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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