Impact and mitigation of neglecting PPP-RTK correctional uncertainty

Journal article (2022)

Authors

D.V. Psychas Mathematical Geodesy and Positioning -

Amir Khodabandeh University of Melbourne

PJG Teunissen Curtin University of Technology, Mathematical Geodesy and Positioning - , University of Melbourne

P.J.G. Teunissen Curtin University of Technology, Mathematical Geodesy and Positioning - , University of Melbourne

Research Group

Mathematical Geodesy and Positioning () (TU Delft)

DOI: https://doi.org/10.1007/s10291-021-01214-y

Global navigation satellite systems (GNSS) Integer ambiguity resolution (IAR) Latency Best linear unbiased estimation (BLUE) PPP-RTK correctional uncertainty Precision description

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Published Date

2022

Language

English

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Faculty

Civil Engineering & Geosciences

Department

Geoscience and Remote Sensing

Research Group

Mathematical Geodesy and Positioning

Abstract

The corrections needed to realize integer ambiguity resolution-enabled precise point positioning (PPP-RTK) at a single-receiver user are often treated as if they are deterministic quantities. The present contribution aims to study and analyze the effect the neglected uncertainty of these corrections, which are subject to time delay, has on the PPP-RTK user ambiguity resolution and positioning performance. Next to the analyses of the estimation results, we emphasize their quality information and show to what extent the assumed positioning precision that the user is provided with differs from the minimum-variance counterpart under an incorrectly specified user stochastic model. We develop and present two alternatives to the fully populated error variance matrix of the PPP-RTK corrections that the user can reconstruct with limited information from the provider so as to properly weigh his corrected data and achieve close-to-optimal performance for high latencies. Supported by numerical results, our study demonstrates that the alternative variance matrices are sufficient enough for the user to obtain improved instantaneous PPP-RTK performance and a realistic precision description in the positioning domain.

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