Ranging and Positioning in Wireless Sensor Networks

Ranging and Positioning in Wireless Sensor Networks

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We next present a distributed solution of the sensor network localization problem based on second-order cone programming relaxation. This algorithm is independent of the ranging technique being used and is computationally more efficient than most contemporary approaches, and scalable to networks with thousands of nodes. We show that the nodes can estimate their positions based on local information. Unlike previous approaches, we also consider the effect of inaccurate reference node positions. In the presence of reference node position errors, the localization is performed in three steps. First, the unlocalized nodes estimate their positions using information from their neighbors. In the second step, the reference nodes refine their positions using relative distance information exchanged with their neighbors and finally, the previously unlocalized nodes refine their position estimates. We demonstrate the convergence of the algorithm numerically. The simulation results, shown for both uniform and irregular network topologies, illustrate the robustness of the algorithm to reference node position and distance estimation errors.We wrote the code in Matlab to solve the SOCP relaxation. Our code calls SeDuMi (Version 1.1) [67], a C implementation of a predictor-corrector primal- dual interior point method for solving SDP/SOCP. The simulations were carried out on aanbsp;...

Title:Ranging and Positioning in Wireless Sensor Networks
Publisher:ProQuest - 2008

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