滑动式Lagrange高低阶组合法在GPS精密星历插值中的应用
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摘要
采用滑动式Lagrange多项式插值法进行GPS精密星历插值,能够很好地保证插值的精度,但这种方法需要利用相邻时段的精密星历数据进行拼接,再对插值区间边缘进行插值。当仅有一天的精密星历数据而不能进行数据拼接时,这种方法的应用受到限制。针对这种情况,该文提出滑动式Lagrange高低阶组合的插值方法,以提高插值区间边缘的插值精度及稳定度,结果表明,采用该插值方法在插值区间边缘也能获得毫米级的插值精度。
Using the sliding Lagrange polynomial interpolation method for GPS precise ephemeris interpolation can ensure the accuracy of interpolation better,but this method requires using the adjacent period precise ephemeris data to stitch,and then the interval edge of interpolation is interpolated.When only has one day's precise ephemeris data,it can not be spliced,the application of this method is limited.In view of this situation,this paper proposes a sliding Lagrange high/low orders combination interpolation method,in order to improve the accuracy and stability of the interpolation interval edge.The results show that using this interpolation method can obtain millimeter interpolation accuracy in the interpolation edge part.
Using the sliding Lagrange polynomial interpolation method for GPS precise ephemeris interpolation can ensure the accuracy of interpolation better,but this method requires using the adjacent period precise ephemeris data to stitch,and then the interval edge of interpolation is interpolated.When only has one day's precise ephemeris data,it can not be spliced,the application of this method is limited.In view of this situation,this paper proposes a sliding Lagrange high/low orders combination interpolation method,in order to improve the accuracy and stability of the interpolation interval edge.The results show that using this interpolation method can obtain millimeter interpolation accuracy in the interpolation edge part.
引文
[1]刘伟平,郝金明,李作虎.由广播星历解算卫星位置速度及精度分析.大地测量与地球动力学,2010,30(2):144~147
[2]雷雨,赵丹宁,高玉萍.基于滑动式Lagrange插值方法的GPS精密星历内插分析.测绘工程,2013,22(2):34~36
[3]张守建,李建成,刑乐林,等.两种IGS精密星历插值方法的比较.大地测量学与地球动力学,2007,27(2):80~83
[4]刘伟平,郝金明.一种新的IGS精密星历插值算法.武汉大学学报(信息科学版),2011,36(11):1320~1323
[5]吴伟,任超,王文杰,等.基于滑动式算法的IGS精密星历内插与拟合精度.地理空间信息,2013,11(2):69~73
[6]李庆扬,王能超,易大义.数值分析.北京:清华大学出版社,2009
[7]Schenewerk M.A brief review of basic GPS orbit interpolation strategies.GPS Solutions,2003,6(4):265~267
[2]雷雨,赵丹宁,高玉萍.基于滑动式Lagrange插值方法的GPS精密星历内插分析.测绘工程,2013,22(2):34~36
[3]张守建,李建成,刑乐林,等.两种IGS精密星历插值方法的比较.大地测量学与地球动力学,2007,27(2):80~83
[4]刘伟平,郝金明.一种新的IGS精密星历插值算法.武汉大学学报(信息科学版),2011,36(11):1320~1323
[5]吴伟,任超,王文杰,等.基于滑动式算法的IGS精密星历内插与拟合精度.地理空间信息,2013,11(2):69~73
[6]李庆扬,王能超,易大义.数值分析.北京:清华大学出版社,2009
[7]Schenewerk M.A brief review of basic GPS orbit interpolation strategies.GPS Solutions,2003,6(4):265~267