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Navigation Satellite Clock Error Prediction Based on Functional Network

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Abstract

The high precision prediction of atomic clocks on board is a key technology for the long-term autonomous operation of a navigation satellite system. Some researches show that the performance of traditional prediction models of atomic clocks can not meet the requirements of practical applications. In order to improve the atomic clock error prediction accuracy, we propose a model based on functional network in this paper. According to the data characteristics of atomic clocks, the clock error series is firstly fit by polynomial and then the residuals is modeled by functional network. Finally, by using the data of GPS satellites, five independent prediction tests have been done to verify the model. The simulation results show that, compared with the traditional models, the proposed model can fit and predict clock error more effectively.

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References

  1. Bruen M, Dooge JCI (1984) An efficient and robust method for estimating unit hydrograph ordinates. J Hydrol 70: 1–24

    Article  Google Scholar 

  2. Castillo E (1998) Functional networks. Neural Process Lett 7: 151–159

    Article  MathSciNet  Google Scholar 

  3. Castillo E, Gutiérrez JM (1998) Nonlinear time series modeling and prediction using functional networks. Extracting information masked by chaos. Phys Lett A 244: 71–84

    Article  Google Scholar 

  4. Castillo E, Cobo A, Gutiérrez JM et al (1999) Functional networks with applications: a neural-based paradigm. Kluwer Academic Publishers, Boston

    Book  MATH  Google Scholar 

  5. Cui XQ, Jiao WH (2005) Grey system model for the satellite clock error predicting. Geomatics Inf Sci Wuhan Univ 30(5): 447–450

    Google Scholar 

  6. Delporte J (2004) Performance of GPS on board clocks computed by IGS, frequency and time forum. EFTF 2004. 18th European, Guildford, pp 201–207

  7. Heo YJ, Cho J, Heo MB (2010) Improving prediction accuracy of GPS satellite clocks with periodic variation behaviour. Meas Sci Technol 21: 1–8

    Article  Google Scholar 

  8. Ke X, Guo L (1997) Multi-scale fractal characteristic of atomic clock noise. Chin J Radio Sci 12(4): 396–400

    Google Scholar 

  9. Li CG, Liao XF, He SB et al (2001) Functional network method for the identification of nonlinear system. Syst Eng Electron 23(11): 50–53

    Google Scholar 

  10. Martinez FG, Waller P (2009) GNSS clock prediction and integrity. In: The 22nd European Frequency and Time forum, IEEE International, Besancon, France

  11. Panfilo G, Tavella P (2008) Atomic clock prediction based on stochastic differential equations. Metrologia 45: 108–116

    Article  MathSciNet  Google Scholar 

  12. Takens F (1981) Detecting strange attractors in turbulence. Lecture Notes in Mathematics 898, pp 361–381

  13. Tomasiello S (2011) A functional network to predict fresh and hardened properties of self-compacting concretes. Int J Numer Methods Biomed Eng 27(6): 840–847

    Article  MATH  Google Scholar 

  14. Vernotte F, Delporte J, Brunet M et al (2001) Uncertainties of drift coefficients and extrapolation errors: application to clock error prediction. Metrologia 38: 325–342

    Article  Google Scholar 

  15. Xu JY, Zeng AM (2009) Application of ARIMA(0,2,q) model to prediction of satellite clock error. J Geodesy Geodyn 29(5): 116–120

    MathSciNet  Google Scholar 

  16. Zhang B, Qu JK, Yuan YB et al (2007) Fitting method for GPS satellites clock errors using wavelet and spectrum analysis. Geomatics Inf Sci Wuhan Univ 32(8): 715–718

    Google Scholar 

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Correspondence to Bo Xu.

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Xu, B., Wang, Y. & Yang, X. Navigation Satellite Clock Error Prediction Based on Functional Network. Neural Process Lett 38, 305–320 (2013). https://doi.org/10.1007/s11063-012-9247-8

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  • DOI: https://doi.org/10.1007/s11063-012-9247-8

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