Abstract
Future sensor networks may be composed of a large number of low cost sensors, also known as “smart-dust”. A simple measure for the distance between any two sensors is the number of re-broadcasts that is necessary to send a message between them. We wish to determine to what extent this so called hop distance provides a useful estimate of the geometric distance between the sensors and can thus be used to derive a map of the network. For the present paper we simulated a number of networks and determined hop distance distributions. We also considered heterogeneity of sensor density and hop range, which is to be expected when a network will be delivered on a featured terrain. Our results demonstrate that, with a proper calibration, hop distance can provide a reliable estimate for geometric distance, provided that the minimum (local) sensor density is sufficient and that hop range heterogeneities do not extend over large regions of the network.
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References
Baggio A., Langendoen K. (2008) Monte Carlo localization for mobile wireless sensor networks. Ad Hoc Networks 6: 718–733
Boukerche A., Chatzigiannakis I., Nikoletsemb S. (2006) A new energy efficient and fault-tolerant protocol for data propagation in smart dust networks using varying transmission range. Computer Communications 29: 477–489
Bruck, J., Gao, J., & Jiang, A. (2009). Localization and routing in sensor networks by local angle information. ACM Transactions on Sensor Networks, 5, 7:1–7:31, Article Number 7.
Čapkun, S., Hamdi, M., & Hubaux, J.-P. (2001). GPS-free positioning in mobile ad-hoc networks. In Proceedings of the IEEE Hawaii Conference on System Sciences, (pp. 255–264).
Catanuto R., Toumpis S., Morabito G. (2009) On asymptotically optimal routing in large wireless networks and geometrical optics analogy. Computer Networks 53: 1939–1955
Chen D., Deng J., Varshney P. K. (2007) Selection of a forwarding area for contention-based geographic forwarding in wireless multi-hop networks. IEEE Transactions on Vehicular Technology 56: 3111–3122
Hong Y. K., Syms R. R. A., Pister K. S. J., Zhou L. X. (2005) Design, fabrication and test of self-assembled optical corner cube reflectors. Journal of Micromechanics and Microengineering 15: 663–672
Hu, L., & Evans, D. (2004). Localization for mobile sensor networks. In Proceedings of the 10-th International Conference on Mobile Computing and Networking (MobiCom’04), (pp. 45–57).
Hupkens, T. M., Hordijk, R. R., & Somsen, O. J. G. (2009). Immobile random sensor networks for surveillance and rescue. In Proceedings of the Benelux Artificial Intelligence Conference 2009. Accepted.
Kong Y., Kwoan Y., Park G. (2009) Robust localization over obstructed interferences for inbuilding wireless applications. IEEE Transactions on Consumer Electronics 55: 105–111
Liu, J., & Zhang, Y. (2008). Error control in distributed node self-localization. EURASIP journal on Advances in Signal Processing. Article Number: 162587 (pp. 13).
Mao G., Fidan B., Anderson B. D. O. (2007) Wireless sensor network localization techniques. Computer Networks 51: 2529–2553
Matese A., Di Gennaro S. F., Zaldei A., Genesio L., Vaccari F. P. (2009) A wireless sensor network for precision viticulture: The NAV system. Computers and Electronics in Agriculture 69: 51–58
Moses R. L., Krishnamurthy D., Patterson R. M. (2003) A self localization method for wireless sensor networks. EURASIP Journal on Applied Signal Processing 4: 348–359
Nagpal, R., Shrobe, H. E., & Bachrach, J. (2003) Organizing a global coordinate system from local information on an ad hoc sensor network. In Proceedings of the 2-nd International Symposium on Information Processing in Sensor Networks 2003 (pp. 333–348).
Niculescu, D., & Nath, B. (2003). Ad hoc positioning system (APS) using AOA. In Proceedings of the 22-nd IEEE Infocom 3 (pp. 1734–1743).
Niculescu D. (2004) Positioning in ad hoc sensor networks. IEEE Network 18: 24–29
Palafox L. E., Garcia-Macias J. A. (2009) Deploying a voice capture sensor network system for a secure ubiquitous home environment. International Journal of Communications Systems 22: 1199–1212
Patwari N., Hero A., Perkins A. M., Correal N., O’Dea B. (2003) Relative location estimation in wireless sensor networks. IEEE Transactions on Signal Processing 51: 2137–2148
Shang Y., Ruml W., Zhang Y., Fromherz M. (2004) Localization from connectivity in sensor networks. IEEE Transactions on Parallel and Distributed Systems 15: 961–974
Warneke B., Last M., Liebowitz B., Pister K. S. J. (2001) Smart dust: Communicating with a cubic-millimeter computer. Computer 34: 44–51
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Somsen, O.J.G., Hordijk, R.R. & Hupkens, T.M. Applicability of Hop Distance in Random Sensor Networks. Wireless Pers Commun 67, 257–269 (2012). https://doi.org/10.1007/s11277-011-0376-6
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DOI: https://doi.org/10.1007/s11277-011-0376-6