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Precise point positioning with ground network-based estimates of coordinates and clocks from navigation satellites


M.A. Mironov – Dr.Sc. (Eng.), Professor
A.V. Veitsel – Ph.D. (Eng.), Associate Professor
A.V. Bashaev – Ph.D. (Eng.), Associate Professor

A mathematical description of coupled algorithms for generating corrections to a time scale of navigation satellites has been given based on the information from a network of ground base stations; application of such corrections for user receivers providing high-precision positioning of a single receiver using accurate estimates of satellite coordinates and integer ambiguity resolution of phase measurements combinations free of ionosphere effects was also presented. General stages of solving the mentioned tasks have been described that related to generation of corresponding linear combinations of primary measurements of pseudo-ranges and full phases, single and double differences of these combinations needed for obtaining corrections and specifying coordinates of ground stations. It has been shown that the method of obtaining corrections leads to a need of generating the same measurement combinations as for the network by the user (or, otherwise, the use of some measurement combinations for high-precision positioning results in generating the corresponding corrections). Such a situation is typical for differential systems and reflects the fact that the use of some or other corrections is tightly connected to the method of their generation. A presentation of the information is given similarly and closely connected to RTK differential phase mode that has already had implemented program solutions.

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