滑动式广义延拓插值法在GLONASS钟差插值中的应用

Application of sliding generalized extension interpolation method in GLONASS precise clock correction

在对卫星钟差数据进行插值处理时,所采用插值算法的精度,直接影响到卫星钟差插值结果的精度,继而影响了卫星导航定位的精度.因此在对卫星钟差数据进行插值时,应选择适宜的插值方法.将Lagrange插值法和切比雪夫多项式拟合法进行滑动,利用这两种传统的插值方法和滑动式广义延拓插值法,分别对历元间隔为5 min的GLONASS卫星钟差数据插值到历元间隔为30 s的钟差数据,再与历元间隔为30s的精密钟差数据进行对比,分析三种插值方法在GLONASS卫星钟差数据中的应用效果.结果表明:利用这三种插值方法对GLONASS钟差数据进行插值时,插值精度均能满足要求,且滑动式广义延拓插值法的插值精度最高.

In the interpolation of satellite clock data,the accuracy of interpolation algorithm directly affects the accuracy of satellite clock interpolation results,which affects the accuracy of satellite navigation and positioning.Therefore,an appropriate interpolation method should be selected when interpolating satellite clock data.In this paper,the Lagrange interpolation method and Chebyshev fitting method are used for sliding,these two traditional interpolation methods and sliding generalized extension interpolation method are used to interpolate the GLONASS clock error data with an epoch interval of 5 min into 30 s.Results are compared with the precision clock error data of 30 s.The application effect of the three interpolation methods in GLONASS satellite clock error data is analyzed.The obtained results show that the interpolation accuracy of these three interpolation methods can meet the requirements of GLONASS satellite clock data interpolation,and the sliding generalized extension interpolation method has the highest interpolation accuracy.