利用自适应最小二乘配置的GPS水准与重力似大地水准面的拟合

针对GPS水准与重力似大地水准面之差中存在系统误差的问题,使用最小二乘配置估计信号大小,来提高似大地水准面的拟合精度。对于最小二乘配置的噪声与信号的协方差之间的关系不合理,采用自适应因子纠正两者之间的关系,并首次将自适应最小二乘配置算法应用于似大地水准面精化。最后使用我国东部面积将近2万km²的城市A的数据进行验证,计算结果表明,最小二乘配置及自适应最小二乘配置在一定程度上能够提高拟合效果,使似大地水准面更接近于真实值,实现了国内较大城市面积的1.0cm检核精度的区域似大地水准面成果。

The Fitting of GPS-Level and Gravity Quasigeoid Based on Adaptive Collocation

The efficient fitting way is the key to improve the accuracy of refining quasigeoid during the refinement.Collocation is used to control the influence of systematic errors in the paper for there are systematic errors in the difference between GPS/level and gravity quasigeoid.For covariance matrices of the signal vector and the observational noise are not harmonic in least square collocation,the covariance matrices are adaptively adjusted to approach the true with estimation of variance components in order to improve the accuracy of quasigeoid.An example of one eastern city with the area of 20 000 km² is given.It is shown that least square collocation and adaptive least square collocation can heighten the reliability of fitting,make the accuracy of quasigeoid higher and get the 1cm accuracy quasigeoid of large area in China.