方差分量估计理论及其在整体大地测量中的应用

本文探讨了整体大地测量平差中的方差分量估计问题,给出了自适应最小二乘配置;不仅较好地解决了各类观测量权比的确定问题,而且能够确定信号的方差因子。此外,文章还对如何更好地确定局部地区扰动位及其泛函的协方差函数作了讨论;最后通过对一个实测网进行了整体平差,并与经典平差结果进行了比较。

THE ESTIMATION OF VARIANCE COMPONENTS AND ITS APPLICATION IN INTEGRATED GEODETIC ADJUSTMENT

In the paper, the estimation of variance components in integrated geodtic adjustment is discussed in details An adaptive least squares collocation, which can determine both the weight-rate among the various observables and the variance factor of the signals, is presented with this approach, we can adjust the covariance matrix of the signals so as to conform it to the precision of a priori expectation of the signals. In addition, how to determine well the covariance of the disturbing potential and its functionals in a local area is also discussed. Finally, a 14-station network including 8 types of observables is adjusted using integrated geodesy method. The comparison of the results of integrated 3d-adjustment with those of the classical adjustment is given.