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Improved RSA Localization Based on the Lagrange Multiplier Optimization

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Abstract

The non-line-of-sight (NLOS) error in wireless network is the main factor that affects the accuracy of positioning algorithm. Therefore, this paper proposes an improved range-scaling-algorithm (RSA) using the Lagrange multiplier method in the wireless sensor networks, where we account for two kinds of nodes, i.e., the static nodes (SN) and the mobile nodes (MN). The key of the proposed algorithm is to construct a composite cost function by the Lagrange multiplier method. Meanwhile, the SN grouping operation followed by a positioning combination is proposed to further improve the performance. Simulation results show that the proposed algorithm can effectively suppress the loss of positioning accuracy caused by non-line-of-sight error. Moreover, the proposed algorithm performs better with increasing number of SNs.

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Acknowledgement

This paper was sponsored by the National Natural Science Foundation of China under grant No. 61471322.

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Correspondence to Jingyu Hua .

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© 2018 ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering

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Fu, J., Hua, J., Xu, Z., Lu, W., Li, J. (2018). Improved RSA Localization Based on the Lagrange Multiplier Optimization. In: Meng, L., Zhang, Y. (eds) Machine Learning and Intelligent Communications. MLICOM 2018. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 251. Springer, Cham. https://doi.org/10.1007/978-3-030-00557-3_63

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  • DOI: https://doi.org/10.1007/978-3-030-00557-3_63

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-00556-6

  • Online ISBN: 978-3-030-00557-3

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