Abstract
In this paper, we investigate relative localization techniques based on internode distance measurements for small wireless networks. High precision ranging is assumed, which is achieved by using technologies such as ultra-wide band (UWB) ranging. A number of approaches are formulated and compared for relative location estimation, which include the Linear Least Squares (LLS) approach, the Maximum Likelihood Estimation (MLE) approach, the Map Registration Approach (MAP), the Multidimensional Scaling (MDS) approach and the enhanced MDS approaches. Finally, computer simulations are used to compare the performances and effectiveness of these techniques, and conclusions are drawn on the suitability of the relative localization techniques for small networks.
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References
Savvides, A., Han, C.C., Srivastava, M.B.: Dynamic fine-grained localization in ad hoc networks of sensors. In: Proceedings of the 7th Annual ACM/IEEE International Conference on Mobile Computing and Networking (MobiCom 2001), Rome, Italy, pp. 166–179, July 2001
Mao, G., Fidan, B., Anderson, B.D.O.: Wireless sensor network localization techniques. Comput. Netw. 51(10), 2529–2553 (2007)
Savvides, A., Park, H., Srivastava, M.B.: The bits and flops of the \(N\)-hop multilateration primitive for node localization problems. In: Proceedings of the First ACM International Workshop on Wireless Sensor Networks and Applications, Atlanta, Georgia, USA, pp. 112–121, September 2002
Shang, Y., Ruml, W.: Improved MDS-based localization. In: Proceedings of the IEEE INFOCOM 2004, The 23rd Annual Joint Conference of the IEEE Computer and Communications Societies, Hong Kong, China, March 2004
Zhou, Y., Lamont, L.: An optimal local map registration technique for wireless sensor network localization problems. In: Proceedings of the 11th International Conference on Information Fusion (FUSION 2008), Cologne, Germany, 30 June–03 July 2008
Zhou, Y., Lamont, L.: A mobile beacon based localization approach for wireless sensor network applications. In: Proceedings of the Fifth International Conference on Sensor Technologies and Applications (SENSORCOMM), Nice, France, August 2011
Savarese, C., Rabaey, J.M., Beutel, J.: Location in distributed ad-hoc wireless sensor networks. In: Proceedings of the 2001 IEEE International Conference on Acoustics, Speech, and Signal Processing, Salt Lake City, UT, vol. 4, pp. 2037–2040, May 2001
Mendel, J.M.: Lessons in Digital Estimation Theory. Prentice Hall, Englewood Cliffs (1987)
Golub, G.H., Van Loan, C.F.: Matrix Computation, 3rd edn. The Johns Hopkins University Press, London (1996)
Shang, Y., Ruml, W., Zhang, Y., Fromherz, M.: Localization from connectivity in sensor networks. IEEE Trans. Parallel Distrib. Syst. 15(11), 961–974 (2004)
Borg, I., Groenen, P.: Modern Multidimensional Scaling, Theory and Applications. Springer, New York (1997)
Ji, X., Zha, H.: Sensor positioning in wireless ad hoc networks using multidimensional scaling. In: Proceedings of the IEEE 23rd Annual Joint Conference of the IEEE Computer and Communications Societies (INFOCOM 2004), Hong Kong, China, vol. 4, pp. 2652–2661, March 2004
Dijkstra, E.W.: A note on two problems in connection with graphs. Numer. Math. 1, 269–271 (1959)
Warshall, S.: A theorem on Boolean matrices. J. ACM 9(1), 11–12 (1962)
Zhou, Y., Lamont, L.: Optimal local map registration technique for wireless sensor network localization problems. In: Mukhopadhyay, S.C., Leung, H. (eds.) Advances in Wireless Sensors and Sensors Networks. LNEE, vol. 64, pp. 177–198. Springer, Heidelberg (2010)
Jennrich, R.I.: A simple general procedure for orthogonal rotation. Psychometrika 66(2), 289–306 (2001)
Jennrich, R.I.: A simple general method for oblique rotation. Psychometrika 67(1), 7–19 (2002)
Dennisand, J.E., Schnabel, R.B.: Numerical Methods for Unconstrained Optimization, Nonlinear Equations. Prentice-Hall, Englewood Cliffs (1983)
Chung, F.R.K.: Spectra Graph Theory. American Mathematical Society, Providence (1997)
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© 2017 ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering
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Zhou, Y., Wong, F. (2017). Relative Localization for Small Wireless Sensor Networks. In: Zhou, Y., Kunz, T. (eds) Ad Hoc Networks. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 184. Springer, Cham. https://doi.org/10.1007/978-3-319-51204-4_2
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DOI: https://doi.org/10.1007/978-3-319-51204-4_2
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