Bruck, Jehoshua and Gao, Jie and Jiang, Anxiao (Andrew) (2005) Localization and Routing in Sensor Networks by Local Angle Information. California Institute of Technology , Pasadena, CA. (Unpublished) http://resolver.caltech.edu/CaltechPARADISE:2005.ETR068
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Location information is very useful in the design of sensor network infrastructures. In this paper, we study the anchor-free 2D localization problem by using local angle measurements in a sensor network. 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 1 away. Despite the negative results, however, one 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 not only does it give very good local embedding, i.e., neighboring nodes are close and non-neighboring nodes are far away, but it also gives a quite accurate 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. The embedding algorithm can be adapted to other models of wireless sensor networks and is robust to measurement noise.
|Item Type:||Report or Paper (Technical Report)|
|Additional Information:||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. http://www.paradise.caltech.edu/papers/etr068.pdf|
|Group:||Parallel and Distributed Systems Group|
|Subject Keywords:||E.1 [Data]: Data Structures–graphs and networks; F.2.2 [Theory of Computation]: analysis of algorithms and problem complexity–non-numerical algorithms and problems; Algorithms, Design, Theory; Sensor networks, Wireless networks, Localization, Geographical routing, Embedding, Planar spanner subgraph|
|Usage Policy:||You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.|
|Deposited By:||Imported from CaltechPARADISE|
|Deposited On:||13 May 2005|
|Last Modified:||26 Dec 2012 13:53|
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