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Distributed Estimation Via Random Access

Anandkumar, Animashree and Tong, Lang and Swami, Ananthram (2008) Distributed Estimation Via Random Access. IEEE Transactions on Information Theory, 54 (7). pp. 3175-3181. ISSN 0018-9448. doi:10.1109/TIT.2008.924652.

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In this correspondence, the problem of distributed Bayesian estimation is considered in the context of a wireless sensor network. The Bayesian estimation performance is analyzed in terms of the expected Fisher information normalized by the transmission rate of the sensors. The sensors use a communication scheme known as the type-based random access (TBRA) scheme. Under a constraint on the expected transmission energy, an optimal spatio-temporal allocation scheme that maximizes the performance metric is characterized. It is shown that the performance metric is crucially dependent on the fading parameter known as the channel coherence index. For channels with low coherence indices, sensor transmissions tend to cancel each other, and there exists an optimal finite mean transmission rate that maximizes the performance metric. On the other hand, for channels with high coherence indices, there should be as many simultaneous transmissions as allowed by the network. The presence of a critical coherence index where the change from one behavior to another occurs is established.

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Additional Information:© 2008 IEEE. Manuscript received August 24, 2006; revised October 1, 2007. This work was supported in part through the collaborative participation in the Communications and Networks Consortium sponsored by the U.S. Army Research Laboratory under the Collaborative Technology Alliance Program, Cooperative Agreement DAAD19-01-2-0011 and by the Army Research Office under Grant ARO-W911NF-06-1-0346. The U.S. Government is authorized to reproduce and distribute reprints for Government purposes notwithstanding any copyright notation thereon.
Funding AgencyGrant Number
Army Research Laboratory (ARL)DAAD19-01-2-0011
Army Research Office (ARO)W911NF-06-1-0346
Subject Keywords:Distributed inference, random-access communications, sensor networks
Issue or Number:7
Record Number:CaltechAUTHORS:20170920-155855969
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Official Citation:A. Anandkumar, L. Tong and A. Swami, "Distributed Estimation Via Random Access," in IEEE Transactions on Information Theory, vol. 54, no. 7, pp. 3175-3181, July 2008. doi: 10.1109/TIT.2008.924652 URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:81652
Deposited By: Tony Diaz
Deposited On:20 Sep 2017 23:06
Last Modified:15 Nov 2021 19:44

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