A mean-squared-error condition for weighting ionospheric delays in GNSS baselines

Journal article (2021)

Authors

P.J.G. Teunissen Curtin University of Technology, Mathematical Geodesy and Positioning - CEG , University of Melbourne
Amir Khodabandeh University of Melbourne
Research Group
Mathematical Geodesy and Positioning (CEG) (TU Delft)
Copyright: © 2021 P.J.G. Teunissen, A. Khodabandeh
DOI: https://doi.org/10.1007/s00190-021-01569-7
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Published Date

2021

Language

English

Faculty

Civil Engineering & Geosciences

Department

Geoscience and Remote Sensing

Research Group

Mathematical Geodesy and Positioning

Abstract

Although ionosphere-weighted GNSS parameter estimation is a popular technique for strengthening estimator performance in the presence of ionospheric delays, no provable rules yet exist that specify the needed weighting in dependence on ionospheric circumstances. The goal of the present contribution is therefore to develop and present the ionospheric conditions that need to be satisfied in order for the ionosphere-weighted solution to be mean squared error (MSE) superior to the ionosphere-float solution. When satisfied, the presented conditions guarantee from an MSE performance view, when (a) the ionosphere-fixed solution can be used, (b) the ionosphere-float solution must be used, or (c) an ionosphere-weighted solution can be used.