Acta Geodaetica et Cartographica Sinica ›› 2020, Vol. 49 ›› Issue (8): 983-992.doi: 10.11947/j.AGCS.2020.20190180

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A wavelet neural network for optimal wavelet function to predict GPS satellite clock bias

WANG Xu1,2, CHAI Hongzhou2, WANG Chang3, CHONG Yang2   

  1. 1. Institute of Surveying and Mapping Engineering, Liaoning Vocational College of Ecological Engineering, Shenyang 110101, China;
    2. Institute of Surveying and Mapping, Information Engineering University, Zhengzhou 450001, China;
    3. School of Civil Engineering, University of Science and Technology Liaoning, Anshan 114051, China
  • Received:2019-05-10 Revised:2020-06-03 Published:2020-08-25
  • Supported by:
    The National Natural Science Foundation of China(Nos. 41574010;41604013;41904039)

Abstract: To develop the accuracy for predicting SCB based on the the problem that the wavelet neural network (WNN) model fails to select the appropriate wavelet function according to the actual situation, an wavelet neural network for Optimal Wavelet Function based on Shannon entropy-energy ratio to predict SCB is proposed herein. The wavelet coefficients are obtained by carring on the continuous wavelet decomposition to the clock a once difference sequences. Then, the energy value and Shannon's entropy value of the wavelet coefficient are calculated respectively, and the “Shannon's entropy-energy ratio” (SEE) is taken as the evaluation index for the selection of the optimal wavelet function to induct select the most suitable wavelet function as the activation function of WNN model. Finally, the optimal WNN model is used to predict SCB, and the predicted results are compared and analyzed. The results show that the evaluation index can accurately guide WNN model to choose the appropriate wavelet function according to the actual situation of SCB, improve the prediction accuracy and applicability of WNN model, and enable the model to realize high accuracy SCB prediction.

Key words: satellite clock bias(SCB), energy, Shannon's entropy, prediction, wavelet neural network

CLC Number: