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01-Applied Mathematics & Information Sciences
An International Journal


Volumes > Volume 6 > No. 6-3S


Distributed Network Localization for Wireless Sensor Networks

PP: 1109-1115
Seong-Woo Kim, Jong Min Lee, Jung-Hwa Lee,
Recent advancements in wireless communication and microelectro-mechanical systems (MEMS) have made possible the deployment of wireless sensor networks for many real world applications. One of most challenging problems with the deployed sensor nodes is to identify their geographic locations given estimates of the distances between them. There have been a large number of localization algorithms, each of which makes a different geometric approximation. Among them, Multidimensional scaling (MDS) based algorithms outperform the others and have the advantage that they are robust for noise and sparse networks, with or without anchor nodes. Its distributed versions compute a local map for each node at first and then merge these maps to a global map. Additional refinement technique can improve the relative maps by forcing them to conform more closely to the distances to nearby neighbors. In this paper, we reformulate the network localization problem as a constrained least square problem mathematically in detail, and then develop a new refinement algorithm which is based on two hop distance constraints and Levenberg-Marquardt optimization technique. Our simulation results demonstrate that the proposed algorithm has good performance in terms of both success rate and node position estimation.

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