滑动式切比雪夫多项式拟合法在BDS精密星历内插中的应用

Application of sliding Chebyshev polynomial fitting method to Beidou satellite precise ephemeris interpolation

对精密星历进行内插是卫星定位数据高精度处理中的一项基础工作。利用滑动式切比雪夫多项式拟合法及不同的拟合节点数和拟合阶数,分析精密星历中MEO,IGSO,GEO不同轨道的北斗卫星插值精度。实验表明,三类北斗卫星达到较高插值精度的拟合节点数和阶数不同,设置适当的拟合节点数和阶数,达到亚毫米级的内插精度。该算法完全适用于对BDS精密星历的插值。

Interpolating precision ephemeris is a fundamental task in the high-precision processing of satellite positioning data. In this paper, and the sliding Chebyshev polynomial fitting method, using different number of fitting nodes and fitting order respectively, the Beidou satellite interpolation accuracy of these three different orbits in the precise ephemeris is analyzed. Experiments show that the three types of Beidou satellites have different numbers of fitting nodes and orders with higher interpolation accuracy. As long as the number and order of fitting nodes are set appropriately, the interpolation accuracy of submillimeter class can be achieved. The algorithm is fully applicable to the interpolation of BDS precision ephemeris.