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Adapting the Boerdijk-Coxeter helix as node configuration for GPS-denied localization in three dimensions
Journal article   Peer reviewed

Adapting the Boerdijk-Coxeter helix as node configuration for GPS-denied localization in three dimensions

Alvin Goh Cheng Ann, Shaohui Foong, Alvee Ahmed and Gim Song Soh
Navigation (Washington), Vol.68(3), pp.485-506
01/09/2021

Abstract

Engineering Engineering, Aerospace Remote Sensing Science & Technology Technology Telecommunications
We propose the Boerdijk-Coxeter Helix (BC Helix) model geometry as a potential node configuration for human users who are localizing within an unstructured environment. When the localization nodes are placed in Boerdijk-Coxeter Helix geometry, the nodes form a regular pattern such that the user can plant new nodes in his or her direction of travel without compromising coverage area or orientation. This paper is also a follow-up to an earlier research paper examining algorithms for three-dimensional localization using a barometer to assist finding the z-coordinate. We provide simulation results examining the potential effects of the Boerdijk-Coxeter Helix geometry on localization accuracy and computation time, and experimental results showing the potential of the helix geometry compared to the random placement of nodes.

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