Authors: Changbin Yu; Baoqi Huang; Hongyi Chee; Brian D.O. Anderson
Addresses: The Australian National University, Canberra ACT 2600, Australia. ' The Australian National University, Canberra ACT 2600, Australia; National ICT Australia Ltd., Tower A, London Circuit, Canberra ACT 2601, Australia. ' University of New South Wales, Sydney, NSW, 2052, Australia. ' The Australian National University, Canberra ACT 2600, Australia; National ICT Australia Ltd., Tower A, London Circuit, Canberra ACT 2601, Australia; Research School of Information Sciences and Engineering, Australian National University, Building 115, Canberra, ACT 0200, Australia
Abstract: Localisation is a vital problem in a multitude of research fields, such as navigation, tracking, sensor networks and so on. In previous work, the problem is considered in the plane or in three-dimensional space. This work deals with the problem of distance-based localisation on the surface of the earth when the points lie in a two-dimensional manifold. The challenge lies with finding an appropriate technique to cope with noisy measurements when the conventional formulation for a planar model cannot be used. To this end, we adopt a tool recently applied to the planar model, the Cayley-Menger matrix. Simulation results show that the proposed method is effective and robust to noise. We also quantify the effect of a planar approximation.
Keywords: target tracking; distance-based localisation; optimisation; distance geometry; sensor networks; planar approximation; noisy measurements; planar models; Cayley-Menger matrix; simulation.
International Journal of Intelligent Defence Support Systems, 2011 Vol.4 No.4, pp.328 - 350
Published online: 28 Feb 2015 *Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article