Distributed algorithm for target localization in wireless sensor networks using RSS and AoA measurements |
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Affiliation: | 1. ISR/IST, LARSyS, Universidade de Lisboa, 1049-001 Lisbon, Portugal;2. Universidade Lusófona de Humanidades e Tecnologias, Campo Grande 376, 1749 - 024 Lisboa, Portugal;3. CTS/UNINOVA, Campus da FCT/UNL, Monte de Caparica, 2829-516 Caparica, Portugal;4. Instituto de Telecomunicações, Av. Rovisco Pais 1, Torre Norte, piso 10, 1049 - 001 Lisboa, Portugal;1. School of Science, Computer Science and Information Technology, RMIT University, Victoria 3000, Australia;2. Department of Infrastructure Engineering, The University of Melbourne, Victoria 3010, Australia;3. School of Math and Geospatial Science, RMIT University, Victoria 3000, Australia |
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Abstract: | This paper addresses target localization problem in a cooperative 3-D wireless sensor network (WSN). We employ a hybrid system that fuses distance and angle measurements, extracted from the received signal strength (RSS) and angle-of-arrival (AoA) information, respectively. Based on range measurement model and simple geometry, we derive a novel non-convex estimator based on the least squares (LS) criterion. The derived non-convex estimator tightly approximates the maximum likelihood (ML) one for small noise levels. We show that the developed non-convex estimator is suitable for distributed implementation, and that it can be transformed into a convex one by applying a second-order cone programming (SOCP) relaxation technique. We also show that the developed non-convex estimator can be transformed into a generalized trust region sub-problem (GTRS) framework, by following the squared range (SR) approach. The proposed SOCP algorithm for known transmit powers is then generalized to the case where the transmit powers are different and not known. Furthermore, we provide a detailed analysis of the computational complexity of the proposed algorithms. Our simulation results show that the new estimators have excellent performance in terms of the estimation accuracy and convergence, and they confirm the effectiveness of combining two radio measurements. |
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Keywords: | Wireless localization Wireless sensor network (WSN) Received signal strength (RSS) Angle-of-arrival (AoA) Second-order cone programming (SOCP) Generalized trust region sub-problem (GTRS) |
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