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The n-Hop Multilateration Primitive for Node Localization Problems

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Abstract

The recent advances in MEMS, embedded systems and wireless communication technologies are making the realization and deployment of networked wireless microsensors a tangible task. In this paper we study node localization, a component technology that would enhance the effectiveness and capabilities of this new class of networks. The n-hop multilateration primitive presented here, enables ad-hoc deployed sensor nodes to accurately estimate their locations by using known beacon locations that are several hops away and distance measurements to neighboring nodes. To prevent error accumulation in the network, node locations are computed by setting up and solving a global non-linear optimization problem. The solution is presented in two computation models, centralized and a fully distributed approximation of the centralized model. Our simulation results show that using the fully distributed model, resource constrained sensor nodes can collectively solve a large non-linear optimization problem that none of the nodes can solve individually. This approach results in significant savings in computation and communication, that allows fine-grained localization to run on a low cost sensor node we have developed.

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References

  1. R. Brown and P. Hwang, Introduction to Signals and Applied Kalman Filtering (Wiley, New York, 1997).

    Google Scholar 

  2. S. Capkun, M. Hamdi and J.P. Hubaux, GPS-free positioning in mobile ad-hoc networks, in: Hawaii International Conference on System Sciences, HICCSS-34 (January 2001).

  3. L. Doherty, L. El Ghaoui and K.S.J. Pister, Convex position estimation in wireless sensor networks, in: Proceedings of InfoCom 2001, Anchorage, AK (April 2001).

  4. D. Estrin, R. Govindan, J. Heidemann and S. Kumar, Next century challenges: scalable coordination in sensor networks, in: Proceedings of the Fifth Annual International Conference on Mobile Computing and Networking, Seattle, Washington (1999) pp. 263–270.

  5. E. Foxlin, M. Harrington and G. Pfeiffer, Constellation(tm): a widerange wireless motion-tracking system for augmented reality and virtual set applications, in: Proceedings of SIGGRAPH 98, Orlando, FL, July 19‐24 (1998).

  6. L. Girod and D. Estrin, Robust range estimation using acoustic and multimodal sensing, in: Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2001), Maui, HI (October 2001).

  7. J. Hightower and G. Boriello, Location systems for ubiquitous computing, IEEE Computer 34(8) (2001) 57–66.

    Google Scholar 

  8. A. Howard, M.J. Mataric and G.S. Sukhatme, Relaxation on a mesh: a formalism for generalized localization, in: Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS01) (2001) pp. 1055–1060.

  9. Intersense Inc., http://www.isense.com

  10. E. Kaplan, Understanding GPS Principles and Applications (Artech House, 1996).

  11. M. Mauve, J. Widmer and H. Hartenstein, A survey on position based routing in mobile ad-hoc networks, IEEE Network Magazine 15(6) (2001) 30–39.

    Google Scholar 

  12. S. Meguerdichian, F. Koushanfar, G. Qu and M. Potkonjak, Exposure in wireless ad hoc sensor networks, in: International Conference on Mobile Computing and Networking (MobiCom'01), Rome, Italy (July 2001) pp. 139–150.

  13. D. Nicolescu and B. Nath, Ad-hoc positioning system, in: Proceedings of IEEE GlobeCom (November 2001).

  14. B.S. Rao and H.F. Durrant-Whyte, Fully decentralized algorithm for multisensor Kalman filtering, IEE Proceedings D 138(5) (September 1991).

  15. S.I. Roumeliotis and G.A. Bekey, Synergetic localization for groups of mobile robots, in: Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, NSW, Australia, 12‐15 December 2000, Vols. 4, 5 (IEEE, Piscataway, NJ, 2000) pp. 3477–3482.

    Google Scholar 

  16. C. Savarese, J. Rabay and K. Langendoen, Robust positioning algorithms for distributed ad-hoc wireless sensor networks, in: USENIX Technical Annual Conference, Monterey, CA (June 2002).

  17. A. Savvides, C.C. Han and M.B. Srivastava, Dynamic fine-grained localization in ad-hoc networks of sensors, in: Proceedings of the Seventh Annual International Conference on Mobile Computing and Networking (MobiCom), Rome, Italy (July 2001) pp. 166–179.

  18. A. Savvides, A. Sachin, W. Garber, R. Moses and M.B. Srivastava, On the error characteristics of multihop node localization in ad-hoc sensor networks, in: Proceedings of the Second International Workshop on Information Processing in Sensor Networks, April 22‐23 (2003).

  19. A. Savvides and M.B. Srivastava, A distributed computation platform for wireless embedded sensing, in: Proceedings of ICCD 2002, Freiburg, Germany, to appear.

  20. M.B. Srivastava, R. Muntz and M. Potkonjak, Smart Kindergarten: sensor-based wireless networks for smart developmental problemsolving environments, in: Proceedings of the Seventh Annual International Conference on Mobile Computing and Networking (MobiCom 2001), Rome, Italy (July 2001) pp. 132–139.

  21. G. Tel, Distributed graph exploration, available at http://carol.wins.uva.nl/delaat/netwerken_college/explo.pdf

  22. G. Welch and G. Bishop, An introduction to the Kalman filter, available at http://www.cs.unc.edu/welch/kalman/kalmanIntro.html

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Savvides, A., Park, H. & Srivastava, M.B. The n-Hop Multilateration Primitive for Node Localization Problems. Mobile Networks and Applications 8, 443–451 (2003). https://doi.org/10.1023/A:1024544032357

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