Abstract
With the proliferation of wireless networks and mobile computing devices, providing location-aware technology and services to new applications has become important for developers. Our main contribution is an efficient location discovery algorithm that bounds the localization error. Providing an efficient localization technique is critical in resource-constrained environments that include mobile devices and wireless networked sensors. Applicable in centralized and distributed environments, our algorithm, based on finding the smallest circle enclosing the intersection of n disks, runs in O(n 2) time. We then extend our work to the problem of finding the smallest disk that includes the set of points common to n disks and excluded from the interiors of m other disks. Finally, we show performance results from the implementation of our algorithms in which, under some conditions, localization estimates for 500 nodes in a 500x500 ft region can be found with a mean error of one foot and a two-foot error bound.
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References
Hightower, J., Borriello, G.: Location Systems for Ubiquitous Computing. IEEE Computer, Los Alamitos (2001)
Szewczyk, R., Osterweil, E., Polastre, J., Hamilton, M., MainWaring, A., Estrin, D.: Habitat Monitoring with Sensor Networks. Communications of the ACM 47(6), 34–40 (2004)
Aspnes, J., Goldenberg, D., Yang, R.: On the computational complexity of sensor network localization. In: Nikoletseas, S.E., Rolim, J.D.P. (eds.) ALGOSENSORS 2004. LNCS, vol. 3121. Springer, Heidelberg (2004)
Terwilliger, M., Gupta, A., Bhuse, V., Kamal, Z., Salahuddin, M.: A Localization System using Wireless Network Sensors: A Comparison of Two Techniques. In: Proceedings of the First Workshop on Positioning, Navigation and Communication, Hannover, Germany (March 2004)
Terwilliger, M., Gupta, A., Khokhar, A., Greenwood, G.: Localization Using Evolution Strategies in Sensornets. In: Proceedings of the IEEE Congress on Evolutionary Computation 2005, Edinburgh, Scotland (September 2005)
Enge, P., Misra, P.: Special Issue on GPS: The Global Positioning System. Proceedings of the IEEE 87(1), 3–172 (1999)
Savvides, A., Han, C., Srivastava, M.: Dynamic Fine-Grained Localization in Ad-Hoc Networks of Sensors. In: Proceedings of the Seventh Annual International Conference on Mobile Computing and Networking (MOBICOM 2001) (2001)
Savarese, C., Rabaey, J., Beutel, J.: Locationing in Distributed Ad-Hoc Wireless Sensor Networks. In: Proceedings of the International Conference on Acoustics, Speech, and Signal Processing, Salt Lake City, UT, vol. 4, p. 2037
Savarese, C., Rabaey, J., Langendoen, K.: Robust Positioning Algorithms for Distributed Ad-Hoc Wireless Sensor Networks. In: Proceedings of the General Track: 2002 USENIX Annual Technical Conference, pp. 317–327, June 10-15 (2002)
Meguerdichian, S., Slijepcevic, S., Karayan, V., Potkonjak, M.: Localized Algorithms in Wireless Ad-Hoc Networks: Location Discovery and Sensor Exposure. In: Proceedings of MobiHOC 2001, Long Beach, CA (2001)
Doherty, L., Pister, K., Ghaoui, L.: Convex Position Estimation in Wireless Sensor Networks. In: Proceedings of the IEEE InfoCom 2001, vol. 3, pp. 1655–1663 (2001)
Terwilliger, M., Gupta, A., Coullard, C.: On Bounding the Localization Errors, Technical Report TR/05-07, Department of Computer Science, Western Michigan University (2005)
Meggido, N.: Linear-Time Algorithms for Linear Programming in R3 and Related Problems. SIAM Journal on Computing 12, 759–776 (1983)
Bourke, P.: Intersection of Two Circles (April 1997), http://astronomy.swin.edu.au/~pbourke/geom-etry/2circle/
Crossbow Technology (last viewed, August 2005), http://www.xbow.com
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Terwilliger, M., Coullard, C., Gupta, A. (2008). Localization in Ad Hoc and Sensor Wireless Networks with Bounded Errors. In: Sadayappan, P., Parashar, M., Badrinath, R., Prasanna, V.K. (eds) High Performance Computing - HiPC 2008. HiPC 2008. Lecture Notes in Computer Science, vol 5374. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89894-8_28
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DOI: https://doi.org/10.1007/978-3-540-89894-8_28
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