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局域差分GPS的数学模型
引用本文:徐忠燕,张传定,刘建华.局域差分GPS的数学模型[J].测绘工程,2007,16(3):23-26,30.
作者姓名:徐忠燕  张传定  刘建华
作者单位:信息工程大学,测绘学院,河南,郑州,450052;第二炮兵装备研究院,北京,100085
摘    要:局域差分GPS中,用户到基准站的距离对定位精度有着决定性影响。利用基准站生成用户误差改正数,其算法很多。文中针对局域差分GPS的数学模型空间相关性,介绍几种常用的内插方法,如加权平均法、线性内插法、低次曲面模型法及三角形内插法,并分析各种方法的内插系数和内插质量因子。利用局域差分GPS进行定位时,只有当用户站位于基准站构成的多边形网内时,才可能得到较高的精度。

关 键 词:局域差分GPS  加权平均法  线性内插法  低次曲面模型法  三角形内插法
文章编号:1006-7949(2007)03-0023-04
收稿时间:2006-09-13
修稿时间:2006-09-13

The math model of local area differential GPS
XU Zhong-yan,ZHANG Chuan-ding,LIU Jian-hua.The math model of local area differential GPS[J].Engineering of Surveying and Mapping,2007,16(3):23-26,30.
Authors:XU Zhong-yan  ZHANG Chuan-ding  LIU Jian-hua
Institution:1. Institute of Surveying and Mapping, Information Engineering University, Zhengzhou 450054, China; 2. The Equipment Academy of the Second Artillery, Beijing 100085, China
Abstract:The distance from user to reference station influences the positioning accuracy definitively in local area differential GPS.There are many methods by using the data of reference station to make user's error corrections.It discusses the spatial correlation of local area differential GPS,and introduces several common methods,such as weighted average method,linear interpolation method,low-order surface model,triangle interpolation algorithm,and analyses interpolation coefficients and interpolation quality factors.Only if user station is in the polygon net forming by reference stations,the positioning accuracy could be higher.
Keywords:local area differential GPS  weighted average method  linear interpolation method  low-order surface model  triangle interpolation algorithm
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