局域差分GPS的数学模型

The math model of local area differential GPS

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。

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 users 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.