广义延拓插值法在BDS精密钟差中的应用  

Application of generalized extension interpolation method in BDS precise clock correction

作　　者：化希瑞 李仲勤 李振昌 寇瑞雄 HUA Xirui;LI Zhongqin;LI Zhenchang;KOU Ruixiong(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)

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

出　　处：《全球定位系统》2019年第4期96-101,共6页Gnss World of China

基　　金：兰州交通大学优秀平台支持项目(201806)

摘　　要：在高精度卫星数据处理中,卫星钟差数据的插值是一项重要的工作,其插值精度直接影响到卫星定位的精度,而传统的插值和拟合方法各有一定的局限性.本文尝试将广义延拓插值法应用在北斗卫星导航系统(BDS)卫星钟差数据的处理中,通过把5 min历元间隔的钟差数据插值为30 s,再与30 s的精密钟差数据进行对比,并对其插值精度进行评估.讨论三个参数不同的取值组合与其插值结果精度之间的关系,得到最优参数组合,在该参数组合条件下与传统的Lagrange插值法的插值结果进行对比,得出的结果表明:利用广义延拓插值法对BDS卫星钟差数据进行插值时,其精度能够满足要求且略高于Lagrange插值法.In high-precision satellite data processing,satellite clock correction data interpolation is an important task,and its accuracy directly influences satellite positioning accuracy.Traditional interpolation and fitting methods have certain limitations.In this paper,the generalized continuation interpolation method is applied to the clock difference data processing of BeiDou satellite.By interpolating the clock difference data with 5 min epoch interval into 30 s,and then comparing with the precision clock difference data of 30 s,the interpolation accuracy is evaluated.Discussing the relationship between the values of r,s,and t parameters and the interpolation precision.optimal parameter combination is obtained,and the interpolation result of the traditional Lagrange interpolation method is compared under the combination of the parameters.The results show that the generalized extension interpolation method satisfies the processing of the Beidou satellite clock data,and the accuracy meets the requirements and slightly higher than the Lagrange interpolation method.

关 键 词：北斗卫星导航系统 广义延拓插值法 Lagrange插值法 精密卫星钟差 插值精度 

分 类 号：P228.1[天文地球—大地测量学与测量工程]