Application research of GM(1,1) model of power function transform in BDS satellite clock bias prediction

Due to the high frequency, strong sensitivity of satellite clocks, and the extreme susceptibility to external influences, the observation data fluctuates greatly and the results have low accuracy.The power function transformation method is used to transform and preprocess the initial observation data to improve the smoothness of the observation data.Therefore, a GM (1,1) model based on power function transformation was proposed. The BDS satellite clock difference was used for interpolation and prediction, and the accuracy was verified. The experimental results show that the Lagrange interpolation method can meet the clock interpolation needs of high-precision BDS;The GM (1,1) model using power function transformation has effectively improved the accuracy compared to traditional models.And when the predicted values of the improved model and the traditional model are closer to the actual values,Then the improved GM (1,1) model of the power function has higher accuracy and stronger applicability. It has practical reference value for BDS satellite clock error prediction.