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Random Array Theory and Collaborative Beamforming
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Author(s): Hideki Ochiai (Yokohama National University, Japan), Patrick Mitran (University of Waterloo, Canada), H. Vincent Poor (Princeton University, USA)and Vahid Tarokh (Harvard University, USA)
Copyright: 2009
Pages: 13
Source title:
Handbook on Advancements in Smart Antenna Technologies for Wireless Networks
Source Author(s)/Editor(s): Chen Sun (ATR Wave Engineering Laboratories, Japan), Jun Cheng (Doshisha University, Japan)and Takashi Ohira (Toyohashi University of Technology, Japan)
DOI: 10.4018/978-1-59904-988-5.ch005
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Abstract
In wireless sensor networks, the sensor nodes are often randomly situated, and each node is likely to be equipped with a single antenna. If these sensor nodes are able to synchronize, it is possible to beamform by considering sensor nodes as a random array of antennas. Using probabilistic arguments, it can be shown that random arrays formed by dispersive sensors can form nice beampatterns with a sharp main lobe and low sidelobe levels. This chapter reviews the probabilistic analysis of linear random arrays, which dates back to the early work of Y. T. Lo (1964), and then discusses recent work on the statistical analysis of two-dimensional random arrays originally derived in the framework of wireless sensor networks.
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