Cross-validation method enhances atmospheric corrections in satellite positioning
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Cross-validation method enhances atmospheric corrections in satellite positioning

29/09/2025 TranSpread

Precise Point Positioning (PPP) has become indispensable in delivering high-precision Global Navigation Satellite System (GNSS) results, but its relatively long convergence time limits real-time applications. To address this, Precise Point Positioning–Real-Time Kinematic (PPP-RTK) leverages atmospheric corrections to accelerate ambiguity resolution. However, the accuracy of these corrections is highly sensitive to factors like satellite elevation, solar activity, and station spacing, leading to errors that range from centimeters to decimeters. Traditional solutions either rely on empirical models built from historical data or require dense monitoring networks, both of which limit adaptability. Due to these challenges, there is a pressing need to develop robust, real-time quality monitoring methods for atmospheric corrections.

Researchers from Wuhan University and Universitat Politècnica de Catalunya have unveiled a new strategy to enhance GNSS PPP-RTK performance. Published (DOI: 10.1186/s43020-025-00178-5) on September 22, 2025 in Satellite Navigation, the study presents a leave-one-out cross-validation technique to evaluate and improve atmospheric correction accuracy. By systematically designating each station as a validation point, the method produces dynamic quality information that is broadcast alongside corrections. This innovative approach provides users with self-monitoring atmospheric data, significantly improving positioning stability and reliability, particularly under variable or disturbed atmospheric conditions.

The new approach fundamentally rethinks how atmospheric corrections are validated. Instead of relying on external monitoring stations or static models, the leave-one-out cross-validation technique internally rotates each reference station as a "test case" while others generate correction data. The resulting discrepancies reveal the true quality of atmospheric corrections, which are then compiled into a comprehensive quality map. This information is transmitted directly to users, allowing them to assess reliability in real time.

Experiments were conducted in two distinct networks: a 21-station European system in mid-latitudes, generally stable, and a 19-station Hong Kong network in low latitudes, prone to ionospheric disturbances. Results showed that tropospheric corrections maintained stability within 2 cm, while ionospheric variations ranged from 2 to 15 cm depending on solar activity. Importantly, the method consistently provided reliable envelopes of error estimates, with more than 90% of quality values accurately reflecting real deviations. In PPP-RTK positioning trials, the method improved accuracy by 6–29% in Europe and 9–20% in Hong Kong, while also achieving faster convergence. Even during geomagnetic storms, improvements of up to 40% were recorded. These findings underscore the method's robustness across scales and atmospheric conditions.

"Our work demonstrates that GNSS services can become more resilient by embedding self-monitoring capabilities," said Prof. Xingxing Li, corresponding author of the study. "The leave-one-out cross-validation approach eliminates the dependence on additional monitoring stations or empirical historical models, offering flexibility across diverse networks. Most importantly, the method ensures that users receive not just corrections, but also a measure of their reliability. This is critical for safety-sensitive applications like autonomous driving and disaster response, where accuracy under unpredictable atmospheric conditions cannot be compromised."

The ability to broadcast real-time quality information alongside atmospheric corrections marks a significant step toward more trustworthy GNSS positioning. By ensuring centimeter-level accuracy across different regions and atmospheric conditions, the method has immediate potential in fields requiring dependable navigation, such as intelligent transportation systems, precision farming, and surveying. Moreover, during periods of high solar activity or geomagnetic storms, the approach can maintain stability and reduce positioning errors, safeguarding operations that rely on continuous precision. Looking forward, integrating this method into global augmentation services could accelerate the adoption of GNSS-based solutions for both civilian and industrial applications.

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References

DOI

10.1186/s43020-025-00178-5

Original Source URL

https://doi.org/10.1186/s43020-025-00178-5

Funding information

This study is financially supported by the National Natural Science Foundation of China (No. 42425401, 42474023, 42204017), the Hubei Provincial Natural Science Foundation Exploration Program (2024040801020242), the Fundamental Research Funds for the Central Universities (2042024kf0018), and the Major Program of Hubei Province (2023BAA02). The work of Junjie Han is supported by the China Scholarship Council under Grant 202406270020.

About Satellite Navigation

Satellite Navigation (E-ISSN: 2662-1363; ISSN: 2662-9291) is the official journal of Aerospace Information Research Institute, Chinese Academy of Sciences. The journal aims to report innovative ideas, new results or progress on the theoretical techniques and applications of satellite navigation. The journal welcomes original articles, reviews and commentaries.

Paper title: Quality monitoring of grid-based atmospheric corrections in GNSS PPP-RTK service using leave-one-out cross-validation
Attached files
  • Design of quality monitoring for grid-base atmospheric corrections.
29/09/2025 TranSpread
Regions: North America, United States, Asia, China, Europe, United Kingdom
Keywords: Applied science, Engineering, Technology

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