Algebraic Issues of Precise Point Positioning with Ambiguity Resolution in GNSS

Alexander A. Povalyaev and Andrey N. Podkorytov

Peer Reviewed

Abstract:	We discuss the use of ambiguity resolution (AR) of phase measurements in global navigation satellite systems (GNSS) for Precise Point Positioning (PPP). Taking into account algebraic details of rank deficiency for user and network solutions we reveal an underlying feature of design matrix in singular system of GNSS equations. Observation models on GPS and GLONASS initial frequencies are proposed and investigated. We compare decoupled satellite clocks produced with global and local network and analyze PPP with AR positioning quality for GPS and GLONASS observation models. We also describe local network solution for computing of satellite decoupled clocks.
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:	2790 - 2800
Cite this article:	Povalyaev, Alexander A., Podkorytov, Andrey N., "Algebraic Issues of Precise Point Positioning with Ambiguity Resolution in GNSS," Proceedings of the 28th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS+ 2015), Tampa, Florida, September 2015, pp. 2790-2800.
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