Integer ambiguity baseline rectifying for GNSS augmentation services by linear programming method
Author(s)
Type
Journal Article
Abstract
The advent of the Global Navigation Satellite System (GNSS) has greatly enhanced satellite positioning technology, with Precise Point Positioning (PPP) emerging as a prominent technique. Despite the advantages of PPP, such as flexibility and reduced operational costs, it faces challenges from phase noise and atmospheric delays, which necessitate reliable ambiguity resolution. Our study introduces a novel non-statistical estimation method—baseline rectification for integer ambiguities. This approach employs integer linear programming, integrated with sparse statistics, to formulate the problem. It establishes a theoretical foundation for the method's effectiveness, facilitating the verification and, crucially, the rectification of integer ambiguities to their true values. Real-world data testing has empirically proven that during times of moderate ionospheric activity (as indicated by Rate of Total Electron Content Index (ROTI)), our method can effectively restore baseline ambiguities, thereby increasing the number of usable satellites in correction service and ultimately enhancing positioning accuracy (Root Mean Squared Error (RMSE) decreases 87.57%). This paper explores the foundational theoretical concepts and mathematical modeling involved in our study. The efficacy of our proposed method has been substantiated through simulations, demonstrating its effectiveness. Furthermore, the application of our method to real-world data has shown significant improvements in positioning accuracy.
Date Issued
2025-08-01
Date Acceptance
2025-03-01
Citation
IEEE Transactions on Aerospace and Electronic Systems, 2025, 61 (4), pp.8334-8346
ISSN
0018-9251
Publisher
Institute of Electrical and Electronics Engineers
Start Page
8334
End Page
8346
Journal / Book Title
IEEE Transactions on Aerospace and Electronic Systems
Volume
61
Issue
4
Copyright Statement
Copyright © 2025 IEEE. This is the author’s accepted manuscript made available under a CC-BY licence in accordance with Imperial’s Research Publications Open Access policy (www.imperial.ac.uk/oa-policy)
License URL
Publication Status
Published
Date Publish Online
2025-03-25