A general extreme value-based Gaussian global navigation satellite systems measurement error distribution for mission-critical applications
Author(s)
Alghananim, Ma’mon Saeed
Ochieng, Washington Yotto
Type
Journal Article
Abstract
Global Navigation Satellite Systems (GNSS) positioning and integrity monitoring models and algorithms currently generically assume that measurement errors follow a Gaussian distribution. As this is not always the case, there is a trade-off affecting system safety and availability, emphasising the need for better error characterisation in mission-critical applications. Research to date has shown advantages of Generalised Extreme Value (GEV) distribution for mapping extreme events. However, it is more complex than the Gaussian distribution, especially in the error convolution process. This paper derives a distribution, referred to as the GEV-based Gaussian distribution, that benefits from the advantages of both the GEV and Gaussian distributions in mapping extreme events and simplicity, respectively. The proposed distribution is tested against Gaussian, GEV and Generalised t distribution. The results show that the proposed distribution can provide a better bound for extreme events than the tested distribution both for pseudorange and carrier phase errors.
Date Issued
2025-09-01
Date Acceptance
2025-05-01
Citation
Journal of Navigation, 2025, 77 (5-6), pp.695-708
ISSN
0373-4633
Publisher
Cambridge University Press (CUP)
Start Page
695
End Page
708
Journal / Book Title
Journal of Navigation
Volume
77
Issue
5-6
Copyright Statement
© The Author(s), 2025. Published by Cambridge University Press on behalf of The Royal Institute of Navigation. This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited.
License URL
Identifier
10.1017/S0373463325000165
Subjects
American democracy
anarchism
civil liberties
history of capitalism
politics of political economy
Publication Status
Published
Date Publish Online
2025-05-26