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Sensors 2014, 14(10), 18410-18432; doi:10.3390/s141018410

Distributed RSS-Based Localization in Wireless Sensor Networks Based on Second-Order Cone Programming

1
Institute for Systems and Robotics (ISR), Instituto Superior Técnico (IST), Av. Rovisco Pais 1, Lisbon 1049-001, Portugal
2
Universidade Lusófona de Humanidades e Tecnologias, Campo Grande 376, Lisboa 1749-024, Portugal
3
UNINOVA, Campus da FCT/UNL, Monte de Caparica, Caparica 2829-516, Portugal
4
Instituto de Telecomunicações, Av. Rovisco Pais 1, Torre Norte, piso 10, Lisboa 1049-001, Portugal
5
DEE-FCT, Universidade Nova de Lisboa, Monte de Caparica 2829-516, Portugal
*
Author to whom correspondence should be addressed.
Received: 30 July 2014 / Revised: 5 September 2014 / Accepted: 23 September 2014 / Published: 1 October 2014
(This article belongs to the Section Sensor Networks)
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Abstract

In this paper, we propose a new approach based on convex optimization to address the received signal strength (RSS)-based cooperative localization problem in wireless sensor networks (WSNs). By using iterative procedures and measurements between two adjacent nodes in the network exclusively, each target node determines its own position locally. The localization problem is formulated using the maximum likelihood (ML) criterion, since ML-based solutions have the property of being asymptotically efficient. To overcome the non-convexity of the ML optimization problem, we employ the appropriate convex relaxation technique leading to second-order cone programming (SOCP). Additionally, a simple heuristic approach for improving the convergence of the proposed scheme for the case when the transmit power is known is introduced. Furthermore, we provide details about the computational complexity and energy consumption of the considered approaches. Our simulation results show that the proposed approach outperforms the existing ones in terms of the estimation accuracy for more than 1:5 m. Moreover, the new approach requires a lower number of iterations to converge, and consequently, it is likely to preserve energy in all presented scenarios, in comparison to the state-of-the-art approaches. View Full-Text
Keywords: wireless localization; wireless sensor network (WSN); received signal strength (RSS); second-order cone programming (SOCP) problem; cooperative localization; distributed localization wireless localization; wireless sensor network (WSN); received signal strength (RSS); second-order cone programming (SOCP) problem; cooperative localization; distributed localization
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Tomic, S.; Beko, M.; Dinis, R. Distributed RSS-Based Localization in Wireless Sensor Networks Based on Second-Order Cone Programming. Sensors 2014, 14, 18410-18432.

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