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Short–term high–precision prediction of LEO navigation satellite clock offset based on a hybrid FFT─LSTM model

Li, Ziqiang, Liu, Wanke, Tang, Chengpan, and Zhang, Xiaozhong, 2026. Short–term high–precision prediction of LEO navigation satellite clock offset based on a hybrid FFT─LSTM model. Advances in Space Research, 77(1):981–994, doi:10.1016/j.asr.2025.09.056.

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BibTeX

@ARTICLE{2026AdSpR..77..981L,
       author = {{Li}, Ziqiang and {Liu}, Wanke and {Tang}, Chengpan and {Zhang}, Xiaozhong},
        title = "{Short-term high-precision prediction of LEO navigation satellite clock offset based on a hybrid FFT─LSTM model}",
      journal = {Advances in Space Research},
     keywords = {LEO satellite, Clock offset prediction, Fast Fourier Transform (FFT), Long Short-Term Memory (LSTM), FFT─LSTM},
         year = 2026,
        month = jan,
       volume = {77},
       number = {1},
        pages = {981-994},
     abstract = "{Accurate prediction of Low-Earth Orbit (LEO) satellite clock offset is
        important for enhancing real-time positioning performance in
        LEO-augmented Global Navigation Satellite Systems (LeGNSS).
        However, traditional models may fail to capture the complex
        periodic and nonlinear characteristics of LEO navigation
        satellite clock offset, which are influenced by rapid orbital
        dynamics and environmental factors. To address the issues, this
        study proposes a hybrid FFT─LSTM model that synergizes fast
        Fourier transform (FFT) and Long Short-Term Memory (LSTM)
        networks. First, FFT is used to extract dominant periodic
        components of the satellite clock offset. Then, a Spectral
        Analysis (SA) model that combines a quadratic polynomial and the
        identified periodic terms is applied to fit and predict the
        trend and main periodic terms of the clock offset. Finally, LSTM
        networks is employed to model and predict the fitting residuals.
        The proposed model was validated using the clock offset data
        from the GRACE-C and Sentinel-6A satellites. The experimental
        results show that the FFT─LSTM model achieves remarkable
        prediction accuracy, with 1-hour root mean square errors (RMSE)
        of 0.102 ns and 0.236 ns for GRACE-C and Sentinel-6A,
        respectively. Compared with those of the linear polynomial (LP)
        model, quadratic polynomial (QP) model, autoregressive
        integrated moving average (ARIMA) model, gray model (GM), and
        LSTM model, the prediction accuracies of the hybrid FFT─LSTM
        model for 1 min, 2 min, 5 min, 10 min, 30 min, and 1 h are
        improved by approximately (90.11, 89.57, 87.09, 89.70, 32.15)\%,
        (78.24, 71.03, 70.85, 80.08, 11.05)\%, (73.07, 73.65, 60.09,
        84.97, 8.98)\%, (85.38, 87.41, 74.97, 91.45, 42.99)\%, (94.12,
        91.13, 85.72, 92.77, 75.80)\%, and (94.80, 92.45, 88.55, 94.61,
        75.10)\%, respectively.}",
          doi = {10.1016/j.asr.2025.09.056},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2026AdSpR..77..981L},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

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