数据分辨率是影响地球重力场建模和大地水准面精度的重要因素。基于最小均方误差准则的频域形式探讨了最小二乘配置与数据分辨率之间的关系,给出了依赖数据分辨率的最优线性估计及其误差的一般公式。算例表明,该公式与传统配置公式的结果是一致的。
Data resolution has an important effect on modeling the earth' s gravity field and the accuracy of the geoid. The relation between least square collocation and data resolution is discussed based on the form in frequency domain of the principle of least mean square error. General formulas of optimal linear estimation and its error depending on data resolution are given. The example shows that the results are consistent with those from traditional collocation.