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

P.J.G. Teunissen; A. Khodabandeh

doi:10.1007/s00190-021-01569-7

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

P.J.G. Teunissen, A. Khodabandeh

Mathematical Geodesy and Positioning

Research output: Contribution to journal › Article › Scientific › peer-review

6 Citations (Scopus)

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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.

Original language	English
Article number	118
Pages (from-to)	1-12
Number of pages	12
Journal	Journal of Geodesy
Volume	95
Issue number	11
DOIs	https://doi.org/10.1007/s00190-021-01569-7
Publication status	Published - 2021

Keywords

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

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N2 - 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.

AB - 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.

KW - Best linear unbiased estimator (BLUE)

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

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