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Article

Improving High-Precision BDS-3 Satellite Orbit Prediction Using a Self-Attention-Enhanced Deep Learning Model

School of Information and Electronic Engineering, Zhejiang University of Science and Technology, Hangzhou 310023, China
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Author to whom correspondence should be addressed.
Sensors 2025, 25(9), 2844; https://doi.org/10.3390/s25092844
Submission received: 12 March 2025 / Revised: 28 April 2025 / Accepted: 29 April 2025 / Published: 30 April 2025
(This article belongs to the Special Issue Advances in GNSS Signal Processing and Navigation)

Abstract

Precise Global Navigation Satellite System (GNSS) orbit prediction is critical for real-time positioning applications. Current orbit prediction accuracy for the BeiDou Navigation Satellite System-3 (BDS-3) exhibits a notable disparity compared to GPS and Galileo, with limited advancements from traditional dynamic modeling approaches. This study introduces a novel data-driven methodology, Sample Convolution and Interaction Network with Self-Attention (SCINet-SA), to augment dynamic methods and improve BDS-3 ultra-rapid orbit prediction. SCINet-SA leverages deep learning to model the temporal characteristics of orbit differences between BDS-3 ultra-rapid and final products. By training on historical orbit difference data, SCINet-SA predicts future discrepancies, facilitating the refinement of ultra-rapid orbit estimates. The incorporation of a self-attention mechanism within SCINet-SA enables the model to effectively capture long-range temporal dependencies, thereby enhancing long-term prediction capabilities and mitigating the latency associated with final product availability. Rigorous experimental evaluation demonstrates the superior performance of SCINet-SA in enhancing BDS-3 ultra-rapid orbit prediction accuracy relative to alternative deep learning models. Specifically, SCINet-SA achieved the highest average relative improvement (IMP) in 3D Root Mean Square (RMS) error across 1 d, 7 d, and 15 d prediction horizons, yielding improvements of 21.69%, 18.66%, and 15.42%, respectively. The observed IMP range spanned from 7.78% to 38.91% for 1 d, 4.34% to 35.96% for 7 d, and 1.68% to 31.13% for 15 d predictions, underscoring the efficacy of the proposed methodology in advancing BDS-3 orbit prediction accuracy.
Keywords: GNSS; BDS-3; ultra-rapid orbit; orbit prediction; time series forecasting; deep learning GNSS; BDS-3; ultra-rapid orbit; orbit prediction; time series forecasting; deep learning

Share and Cite

MDPI and ACS Style

Xie, S.; Li, J.; Cai, J. Improving High-Precision BDS-3 Satellite Orbit Prediction Using a Self-Attention-Enhanced Deep Learning Model. Sensors 2025, 25, 2844. https://doi.org/10.3390/s25092844

AMA Style

Xie S, Li J, Cai J. Improving High-Precision BDS-3 Satellite Orbit Prediction Using a Self-Attention-Enhanced Deep Learning Model. Sensors. 2025; 25(9):2844. https://doi.org/10.3390/s25092844

Chicago/Turabian Style

Xie, Shengda, Jianwen Li, and Jiawei Cai. 2025. "Improving High-Precision BDS-3 Satellite Orbit Prediction Using a Self-Attention-Enhanced Deep Learning Model" Sensors 25, no. 9: 2844. https://doi.org/10.3390/s25092844

APA Style

Xie, S., Li, J., & Cai, J. (2025). Improving High-Precision BDS-3 Satellite Orbit Prediction Using a Self-Attention-Enhanced Deep Learning Model. Sensors, 25(9), 2844. https://doi.org/10.3390/s25092844

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