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Title: Precise point positioning with an adaptive geometry-free cycle slip detection threshold under complex ionospheric conditions
Authors: Tang, L
Zhou, L
Xu, F
Hu, J 
Zhang, X
Issue Date: Feb-2026
Source: GPS solutions, Feb. 2026, v. 30, no. 1, 11
Abstract: Global navigation satellite system (GNSS) precise point positioning (PPP) performance experiences significant degradation under complex ionospheric conditions, particularly during geomagnetic storm events. To address this challenge, this study develops an adaptive geometry-free (GF) cycle slip detection threshold model, leveraging GNSS Doppler measurements to reduce the incorrect cycle slip detection, thereby enhancing the accuracy and reliability of GNSS PPP. The proposed threshold model is fitted using Doppler index data extracted from 110 International GNSS Service (IGS) stations on the 11th May 2024 when an extreme geomagnetic storm occurred. 72 IGS stations which are not used in modeling on the same day are employed to validate its performance. The results show that PPP with adaptive GF cycle slip detection threshold can achieve positioning accuracy improvements by 42.4% and 37.2% in horizontal and vertical directions, respectively, compared with traditional strategy. Furthermore, positioning accuracy improvements of 63.1% and 50.1% in horizontal and vertical are obtained with data from another geomagnetic storm event on the 11th October 2024, which further demonstrates the efficiency and uniformity of proposed model. Comparison of positioning accuracy with tight and loose thresholds during the ionospheric quiescence periods also verifies the adaptability of the built model.
Keywords: Cycle slip detection
Doppler index (DI)
Global navigation satellite system (GNSS)
Ionosphere activity
Precise point positioning (PPP)
Publisher: Springer
Journal: GPS solutions 
ISSN: 1080-5370
EISSN: 1521-1886
DOI: 10.1007/s10291-025-01979-6
Rights: © The Author(s) 2025
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
The following publication Tang, L., Zhou, L., Xu, F. et al. Precise point positioning with an adaptive geometry-free cycle slip detection threshold under complex ionospheric conditions. GPS Solut 30, 11 (2026) is available at https://doi.org/10.1007/s10291-025-01979-6.
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