Maximum of the SBAS Ionosphere Corrections Error Using Spatio Temporal Bound Evaluation Techniques

Malika Chassan, Jean-Marc Azaïs, Guillaume Buscarlet, Norbert Suard, Sebastient Trilles

Abstract: The objective of this work is to find and to experience some new techniques to evaluate the different accuracy requirements for the LPV200 civil aviation services. This work is funded by CNES, the French Space Agency and TAS France, the Prime Contractor of EGNOS V2. We consider the accuracy in the estimation of the ionospheric delay (GIVD for Grid Ionospheric Vertical Delay). An indicator of the GIVD estimation quality is the GIVDe (Grid Ionospheric Vertical Delay error), available on the IGP grid (Ionospheric Grid Point). In this paper, we are interested in evaluating the difference between the GIVDe maximum on the IGP grid and the unknown GIVDe maximum over the area covered by the grid. The GIVDe is modeled by a Gaussian field. Two solutions are proposed and compared: firstly a Kriging model which furnishes an estimation of the GIVDe for all the area and then for the maximum. Secondly, our new approach is developed. This method is inspired by the Slepian models and consists in a local approximation of the field near of the unknown true maximum point. Using this method, we are able to give a limit conditional distribution for the discretization error and then furnish an asymptotic bound for this error.
Published in: Proceedings of the 28th International Technical Meeting of The Satellite Division of the Institute of Navigation (ION GNSS+ 2015)
September 14 - 18, 2015
Tampa Convention Center
Tampa, Florida
Pages: 3599 - 3607
Cite this article: Chassan, Malika, Azaïs, Jean-Marc, Buscarlet, Guillaume, Suard, Norbert, Trilles, Sebastient, "Maximum of the SBAS Ionosphere Corrections Error Using Spatio Temporal Bound Evaluation Techniques," Proceedings of the 28th International Technical Meeting of The Satellite Division of the Institute of Navigation (ION GNSS+ 2015), Tampa, Florida, September 2015, pp. 3599-3607.
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