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Collaborative beamforming for distributed wireless ad hoc sensor networks
Ochiai, H.   Mitran, P.   Poor, H.V.   Tarokh, V.  
Dept. of Electr. & Comput. Eng., Yokohama Nat. Univ., Japan;

This paper appears in: Signal Processing, IEEE Transactions on
Publication Date: Nov. 2005
Volume: 53,  Issue: 11
On page(s): 4110- 4124
ISSN: 1053-587X
INSPEC Accession Number: 8631090
Digital Object Identifier: 10.1109/TSP.2005.857028
Current Version Published: 2005-10-17

Abstract
The performance of collaborative beamforming is analyzed using the theory of random arrays. The statistical average and distribution of the beampattern of randomly generated phased arrays is derived in the framework of wireless ad hoc sensor networks. Each sensor node is assumed to have a single isotropic antenna and nodes in the cluster collaboratively transmit the signal such that the signal in the target direction is coherently added in the far-field region. It is shown that with N sensor nodes uniformly distributed over a disk, the directivity can approach N, provided that the nodes are located sparsely enough. The distribution of the maximum sidelobe peak is also studied. With the application to ad hoc networks in mind, two scenarios (closed-loop and open-loop) are considered. Associated with these scenarios, the effects of phase jitter and location estimation errors on the average beampattern are also analyzed.

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