基于广义延拓逼近法的QZSS卫星钟差内插精度分析  

Accuracy analysis of generalized extension interpolation method in QZSS satellite clock bias interpolation

作　　者：寇瑞雄 杨树文 KOU Ruixiong;YANG Shuwen(Faculty of Geomatic,Lanzhou Jiaotong University,Lanzhou 730070,China;National-Local Joint Engineering Research Center of Technologies and Applications for National Geographic State Monitoring,Lanzhou 730070,China;Gansu Provincial Engineering Laboratory for National Geographic State Monitoring,Lanzhou 730070,China;School of Traffic and Transportation,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学测绘与地理信息学院,兰州730070 [2]地理国情监测技术应用国家地方联合工程研究中心,兰州730070 [3]甘肃省地理国情监测工程实验室,兰州730070 [4]兰州交通大学交通运输学院,兰州730070

出　　处：《全球定位系统》2022年第4期73-78,共6页Gnss World of China

基　　金：国家自然科学基金项目(42161069,41761082);甘肃省教育厅:优秀研究生“创新之星”项目(2021CXZX-546);兰州交通大学优秀平台支持项目(201806)。

摘　　要：卫星钟差数据插值是高精度定位数据处理中的重要环节,其插值结果直接影响定位精度,但常用的插值或拟合方法具有不同缺点.本文尝试将广义延拓逼近法应用于准天顶卫星系统(QZSS)卫星钟差数据的处理中,介绍了Lagrange插值法、切比雪夫拟合法和广义延拓逼近法的原理,以及滑动式与非滑动式的区别;然后使用QZSS钟差数据探讨三种方法的参数(组)取值与插值结果精度的关系;最后比较三种方法在各自最优参数(组)取值情况下对QZSS卫星钟差的插值精度.结果表明:选取合理的参数组合,广义延拓逼近法完全适用于QZSS卫星钟差的插值,且插值精度明显高于其他两种方法.The satellite clock error data interpolation is an important link in process of high accuracy positioning data,which has directly impact on positioning accuracy.However,the common interpolation and fitting methods have different disadvantages.The generalized extension approximation method is tried to apply to the process of Quasi-Zenith Satellite System(QZSS) satellite clock error data in this paper.The principles of Lagrange interpolation,Chebyshev fitting and Generalized extension approximation method are firstly introduced,and the differences between sliding and non-sliding.Afterwards,QZSS clock error data is used to discuss the relationship between the parameters(groups) value of the above three methods and the interpolation results accuracy.Finally,when the three methods take their respectively optimal parameters(groups),the accuracy of QZSS satellite clock error is compared.The simulation results show,as long as reasonable parameter combination is selected,that the generalized extension interpolation is completely suitable to QZSS satellite clock error,and the interpolation accuracy of the generalized extension approximation method is significantly higher than other two methods.

关 键 词：准天顶卫星系统(QZSS) 广义延拓插值法 卫星钟差 插值精度 

分 类 号：P228.4[天文地球—大地测量学与测量工程]