Global Optimal Solutions to General Sensor Network Localization Problem

Ning Ruan; David Y Gao

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arXiv · 1302.3673

Global Optimal Solutions to General Sensor Network Localization Problem

Ning Ruan·David Y Gao

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Abstract

Sensor network localization problem is to determine the position of the sensor nodes in a network given pairwise distance measurements. Such problem can be formulated as a polynomial minimization via the least squares method. This paper presents a canonical duality theory for solving this challenging problem. It is shown that the nonconvex minimization problem can be reformulated as a concave maximization dual problem over a convex set in a symmetrical matrix space, and hence can be solved efficiently by combining a general (linear or quadratic) perturbation technique with existing optimization techniques. Applications are illustrated by solving some relatively large-scale problems. Our results show that the general sensor network localization problem is not NP-hard unless its canonical dual problem has no solution.

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BibTeX RIS

Ning Ruan, David Y Gao. 2013-02-15. Global Optimal Solutions to General Sensor Network Localization Problem. https://arxiv.org/abs/1302.3673

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