Abstract
Location-aware applications, such as indoor robot navigation or human activity monitoring, require the location estimation of moving elements, by using ultrasonic, infrared or radio signals received from sensors deployed in the workplace. These sensors are commonly arranged in regular lattices on the ceiling. However, this configuration is not optimal for location estimation using trilateration techniques, in terms of positioning precision, maximum coverage and minimum singular cases. This paper shows how non-regular optimal sensor deployments, generated with a new meta-heuristic optimization methodology (Diversified Local Search - DLS), outperforms regular lattices for trilateration.
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References
Priyantha, N.B., Chakraborty, A., Balakrishnan, H.: The Cricket Location-Support System. In: Proceedings of the 6th ACM International Conference on Mobile Computing and Networking, Boston MA USA, pp. 32–43 (2000)
Hightower, J., Borriello, G.: Location Systems for Ubiquitous Computing. Computer 34(8), 57–66 (2001)
Navidi, W., Murphy, W.S., Hereman, W.: Statistical methods in surveying by trilateration. Computational Statistics and Data Analysis - Elsevier 27, 209–227 (1998)
Walworth, M., Mahajan, A.: 3D Position sensing using the diference of the time-of-flight from a wave source to various receivers. In: ICAR 1997, pp. 611–616 (1997)
Hazas, M., Ward, A.: A High Performance Privacy-Oriented Location System. In: Proceedings of the First IEEE International Conference on Pervasive Computing and Communications (PERCom), pp. 216–223 (2003)
Yarlagadda, R., Ali, I., Al-Dhahir, N., Hershey, J.: GPS GDOP metric. IEEE Proc.-Radar Sonar Navigation 147, 259–264 (2000)
Urruela, A., Sala, J., Riba, J.: Average Performance Analysis of Circular and Hyperbolic Geolocation. IEEE Transactions on Vehicular Technology 55(1), 52–66 (2006)
Nishida, Y., Aizawa, H., Hori, T., Hoffman, N.H., Kanade, T., Kakikura, M.: 3D Ultrasonic Tagging System for Observing Human Activity. In: IEEE/RSJ International Conference of Intelligent Robots and Systems (IROS), pp. 1–7 (2003)
Yin, M., Shu, J., Liu, L., Zhang, H.: The Influence of Beacon on DV-hop in Wireless Sensor Networks. In: GCCW 2006. Fitth International Conference on Grid and Cooperative Computing Workshops, pp. 459–462 (2006)
Ray, P.K., Mahajan, A.: A genetic algorithm-based approach to calculate the optimal configuration of ultrasonic sensors in a 3D position estimation system. Robotics and Autonomous Systems 41, 161–177 (2000)
Yang, B., Scheuing, J.: Cramer-Rao bound and optimum sensor array for source localization from time differences of arrival. In: Proceeding IEEE ICASSP, pp. 961–964 (2005)
Yang, B., Scheuing, J.: A Theorical Analisys Of 2D Sensor Arrays for TDOA based Localization. In: Proceeding IEEE ICASSP, vol. 4, pp. 901–904 (2006)
Laguna, M., Roa, J.O., Jimenez, A.R., Seco, F.: Diversified Local Search for the Optimal Layout of Beacons in an Indoor Positioning System. Submitted for Publication by Colorado Univ. & IAI-CSIC (2007)
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Roa, J.O., Jiménez, A.R., Seco, F., Prieto, J.C., Ealo, J. (2007). Optimal Placement of Sensors for Trilateration: Regular Lattices vs Meta-heuristic Solutions. In: Moreno Díaz, R., Pichler, F., Quesada Arencibia, A. (eds) Computer Aided Systems Theory – EUROCAST 2007. EUROCAST 2007. Lecture Notes in Computer Science, vol 4739. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75867-9_98
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DOI: https://doi.org/10.1007/978-3-540-75867-9_98
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