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。
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 Approximation） 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.
出处
《测绘与空间地理信息》
2015年第4期144-146,共3页
Geomatics & Spatial Information Technology
关键词
精密卫星钟差
LAGRANGE
广义延拓
插值
precise satellite clock error
Lagrange
generalized extended interpolation
interpolation
