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广义延拓插值法在IGS精密钟差插值中的应用
引用本文:焦宁,田龙华,孙秀宁,韦铖.广义延拓插值法在IGS精密钟差插值中的应用[J].测绘与空间地理信息,2015(4):144-146.
作者姓名:焦宁  田龙华  孙秀宁  韦铖
作者单位:1. 荣成永平测绘有限公司,山东荣成,264300;2. 济南市房产测绘研究院,山东济南,250001;3. 青岛市勘察测绘研究院,山东青岛,266000
摘    要:针对精密单点定位中内插精密卫星钟差的需要,本文利用广义延拓插值法对IGS精密卫星钟差进行插值,探讨广义延拓插值数学模型中单元域节点、延拓域节点、逼近函数项数三个参数与插值精度之间的关系,并与传统经典的Lagrange多项式插值法进行比较分析,实际算例表明,只要选取适当的参数,广义延拓插值法可以拥有比Lagrange多项式插值法更高的精度。

关 键 词:精密卫星钟差  Lagrange  广义延拓  插值

Application of Generalized Extended Interpolation Method in IGS Precise Clock Error Interpolation
JIAO Ning,TIAN Long-hua,SUN Xiu-ning,WEI Cheng.Application of Generalized Extended Interpolation Method in IGS Precise Clock Error Interpolation[J].Geomatics & Spatial Information Technology,2015(4):144-146.
Authors:JIAO Ning  TIAN Long-hua  SUN Xiu-ning  WEI Cheng
Abstract:Aiming at the need of the precise satellite clock error interpolation in precise point positioning ( PPP) , this paper uses the generalized extended interpolation method in IGS Precise satellite clock error interpolation.The relationship between the model’s three parameters ( the node number in unit domain、the node number in extended domain、the number of Polynomial function of Approxima-tion) and the generalized extended interpolation precision was discussed.Besides, the results obtained by this method are compared with classic Lagrange polynomial interpolation.The practical examples show that the Generalized Extension Interpolation can get higher precision than Lagrange polynomial interpolation when the appropriate parameters are selected.
Keywords:precise satellite clock error  Lagrange  generalized extended interpolation  interpolation
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