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Localization and routing in sensor networks by local angle information

Bruck, Jehoshua and Gao, Jie and Jiang, Anxiao (Andrew) (2009) Localization and routing in sensor networks by local angle information. ACM Transactions on Sensor Networks, 5 (1). No. 7. ISSN 1550-4859.

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Location information is useful both for network organization and for sensor data integrity. In this article, we study the anchor-free 2D localization problem by using local angle measurements. We prove that given a unit disk graph and the angles between adjacent edges, it is NP-hard to find a valid embedding in the plane such that neighboring nodes are within distance 1 from each other and non-neighboring nodes are at least distance √2/2 away. Despite the negative results, however, we can find a planar spanner of a unit disk graph by using only local angles. The planar spanner can be used to generate a set of virtual coordinates that enable efficient and local routing schemes such as geographical routing or approximate shortest path routing. We also proposed a practical anchor-free embedding scheme by solving a linear program. We show by simulation that it gives both a good local embedding, with neighboring nodes embedded close and non-neighboring nodes far away, and a satisfactory global view such that geographical routing and approximate shortest path routing on the embedded graph are almost identical to those on the original (true) embedding.

Item Type:Article
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URLURL TypeDescription
Bruck, Jehoshua0000-0001-8474-0812
Additional Information:© 2009 ACM Inc. Received March 2007; revised October 2007; accepted February 2008. A preliminary version of this article appeared in Proceedings of the 6th ACM International Symposium on Mobile Ad Hoc Networking and Computing (MobiHoc’05). This work was supported in part by the Lee Center for Advanced Networking at the California Institute of Technology, and by NSF grant CCR-TC-0209042. This work was done when J. Gao was at the Center for the Mathematics of Information, California Institute of Technology and A. Jiang was with the Department of Electrical Engineering, California Institute of Technology.
Funding AgencyGrant Number
Lee Center for Advanced Networking, CaltechUNSPECIFIED
Subject Keywords:Sensor networks, embedding, geographical routing, localization, planar spanner subgraph, wireless networks
Issue or Number:1
Record Number:CaltechAUTHORS:20090504-113921187
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:14148
Deposited By: Jason Perez
Deposited On:13 Aug 2009 21:11
Last Modified:22 Nov 2019 09:58

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