Collaborative beamforming for distributed wireless ad hoc sensor networks

Hideki Ochiai, Patrick Mitran, H. Vincent Poor, Vahid Tarokh

Research output: Contribution to journalArticlepeer-review

537 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)4110-4124
Number of pages15
JournalIEEE Transactions on Signal Processing
Issue number11
StatePublished - Nov 2005
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Signal Processing
  • Electrical and Electronic Engineering


  • Beampattern
  • Collaborative beamforming
  • Distributed beamforming
  • Random arrays
  • Sensor networks
  • Wireless ad hoc networks


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