Acta Geodaetica et Cartographica Sinica ›› 2018, Vol. 47 ›› Issue (5): 600-610.doi: 10.11947/j.AGCS.2018.20150323

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Torus Harmonic Analysis and Prediction of Global Ionospheric TEC

FENG Wei1,2, ZHANG Chuanding2, WU Xing3,4, WANG Kai4   

  1. 1. Institute of Geodesy and Geophysics of Chinese Academy of Sciences, Wuhan 430077, China;
    2. Beijing Satellite Navigation Center, Beijing 100049, China;
    3. College of Earth Science, University of Chinese Academy of Sciences, Beijing 100049, China;
    4. Center for Engineering Design and Research under the Headquarter of General Equipment, Beijing 100028, China
  • Received:2015-05-16 Revised:2017-10-23 Online:2018-05-20 Published:2018-06-01
  • Supported by:
    The National Natural Science Foundation of China (No.41504018);The Open Fund of State Key Laboratory of Geodesy and Earth's Dynamics (No.SKLGED 2014-3-5-E)

Abstract: It is established that an Ionospheric TEC spherical harmonic model based on torus harmonic analysis, by applying the torus harmonic analysis method which is ripe in gravity research into modeling Ionospheric TEC. The characteristics of the proposed model parameters are tested and analyzed in detail. The results show that the proposed model fitting accuracy is excellent. When coefficients truncated to 15th order, the recovery error is less than 4% all the year. The spherical harmonic model has good applicability except the Arctic and the Antarctic area. The characteristics of the proposed spherical harmonic model coefficients is estimated. It is applied that the degree-by-degree residual modeling method, and approaches the regularity of the spherical harmonic coefficients with the use of trend function, power spectrum analysis theory and the ARMA model. The rules of the proposed model coefficient changes are discovered, and then the prediction model is established. Therefore, the prediction based on the model coefficients is achieved. Besides, the accuracy variation problem of prediction coefficients and the data accumulation time of coefficients short-term prediction are analyzed. Finally through the prediction of TEC, the precision of this model is verified.

Key words: ionospheric TEC, torus harmonic analyzing, spherical harmonic model, time series, coefficient prediction

CLC Number: