Mitigation of Systematic Errors of GPS Positioning Using Vector Semiparametric Models

Minghai Jia

Abstract:	Systematic errors, such as multipath and residual atmospheric errors in GPS double difference carrier phase observations, are the main error sources for high precision GPS applications. The complicated properties of systematic errors limit the modelling and mitigation of these errors when parametric models are used. In this paper, a vector semiparametric model and penalised least squares technique is proposed to mitigate these errors. Systematic errors in GPS positioning usually vary with time smoothly. In vector semiparametric models, these errors are described as complicated but smoothing functions. Based on the penalised least squares technique, these functions are estimated in conjunction with the parametric components, such as coordinates of the site and carrier phase ambiguity. As a result, the systematic errors are significantly mitigated, and hence, precise and reliable ambiguity and other parametric components are obtained with a much shorter observation span compared to the parametric model and least squares technique which is used in the majority of current GPS processing software packages. Results using real static GPS data show that the semiparametric model and penalised least squares technique implemented in the author’s software produces the best solutions compared to the results from three commercial software packages and from an in- house GPS processing software that is based on the parametric model and least squares technique.
Published in:	Proceedings of the 13th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GPS 2000) September 19 - 22, 2000 Salt Palace Convention Center Salt Lake City, UT
Pages:	1938 - 1947
Cite this article:	Jia, Minghai, "Mitigation of Systematic Errors of GPS Positioning Using Vector Semiparametric Models," Proceedings of the 13th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GPS 2000), Salt Lake City, UT, September 2000, pp. 1938-1947.
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