Functional Models of Ordinary Kriging for Medium Range Real-time Kinematic Positioning Based on the Virtual Reference Station Technique

A. Al-Shaery, S. Lim, C. Rizos

Abstract:	This investigates various functional models of the Ordinary Kriging technique, applied to precisely estimate epoch-by-epoch atmospheric corrections for real-time kinematic positioning. A network of Continuously Operating Reference Stations in New South Wales, known as CORSnet-NSW, is utilised to: 1) obtain atmospheric residuals for each reference station, 2) construct an empirical variogram over the network, 3) determine Kriging parameters for three different models: a spherical-, an exponential-, and a gaussian model; and 4) optimise the atmospheric corrections for real-time kinematic positioning. Applying the atmospheric corrections obtained by the Ordinary Kriging functional models, “synthetic” measurements at a virtual reference station are generated and used for real-time kinematic positioning. Field tests with baselines ranging from 21km to 62km indicate that 1.9cm up to 4.4cm of horizontal accuracy (1 sigma) is achieved. Results show approximately 53% or higher improvement when compared with the results from commercially available software packages. This study has demonstrated the usefulness of a number of Ordinary Kriging functional models where ionospheric and tropospheric delays significantly degrade the positioning quality.
Published in:	Proceedings of the 23rd International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS 2010) September 21 - 24, 2010 Oregon Convention Center, Portland, Oregon Portland, OR
Pages:	2513 - 2521
Cite this article:	Al-Shaery, A., Lim, S., Rizos, C., "Functional Models of Ordinary Kriging for Medium Range Real-time Kinematic Positioning Based on the Virtual Reference Station Technique," Proceedings of the 23rd International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS 2010), Portland, OR, September 2010, pp. 2513-2521.
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