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Issue No. 06 - June (2012 vol. 11)
ISSN: 1536-1233
pp: 935-946
Wei-Yu Chiu , National Tsing Hua University, Hsinchu
Bor-Sen Chen , National Tsing Hua University, Hsinchu
Chang-Yi Yang , National Penghu University of Science and Technology, Makung
In this paper, the relative location estimation problem, a prominent issue faced by several applications in wireless sensor networks (WSNs), is considered. Sensors are classified into two categories: location-aware and location-unaware sensors. To estimate the positions of location-unaware sensors, exact positions are often assumed for location-aware sensors. However, in practice, such precise data may not be available. Therefore, determining the positions of location-unaware sensors in the presence of inexact positions of location-aware sensors is the primary focus of this study. A robust min-max optimization method is proposed for the relative location estimation problem by minimizing the worst-case estimation error. The corresponding optimization problem is originally nonconvex, but after it is transformed into a convex semidefinite program (SDP), it can be solved by existing numerical techniques. In the presence of inexact positions of location-aware sensors, the robustness of the proposed approach is validated by simulations under different WSN topologies. Modified maximum-likelihood (ML) estimation and second-order cone programming (SOCP) relaxation methods have been used for localization in comparison with the proposed approach.
Relative location estimation, inexact position problem, wireless sensor networks (WSNs), maximum-likelihood (ML) estimation, second-order cone program (SOCP), semidefinite program (SDP).

C. Yang, W. Chiu and B. Chen, "Robust Relative Location Estimation in Wireless Sensor Networks with Inexact Position Problems," in IEEE Transactions on Mobile Computing, vol. 11, no. , pp. 935-946, 2011.
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