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

Teunissen, P.J.G.; Khodabandeh, A.

doi:10.1007/s00190-021-01569-7

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

Title

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

Author

Teunissen, P.J.G. (TU Delft Mathematical Geodesy and Positioning; University of Melbourne; Curtin University of Technology)
Khodabandeh, A. (University of Melbourne)

Date

2021

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.

Subject

Best linear unbiased estimator (BLUE)
GNSS
Ionosphere fixed
Ionosphere float
Ionosphere weighted
Ionospheric dispersion
Mean squared error (MSE)

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http://resolver.tudelft.nl/uuid:4bd2437f-5940-4ee0-b18c-659d78264b6f

DOI

https://doi.org/10.1007/s00190-021-01569-7

ISSN

0949-7714

Source

Journal of Geodesy, 95 (11), 1-12

Part of collection

Institutional Repository