CAJ | 학술논문

GNSS高程拟合多建立在经典Gauss-Markov 模型的基础上，没有考虑各观测值的影响因子，最小二乘解不是最优。为得到最优的最小二乘解，在二次曲面拟合模型的基础上提出了直接定权的方法，探讨了各类加权最小二乘模型的差异性，通过实验，将直接定权法与选权迭代法及加权递推最小二乘法进行了对比分析。结果表明，各种模型精度差异较小，直接定权简单实用，可在实际工程中推广应用。
GNSS고정의합다건립재경전Gauss-Markov 모형적기출상，몰유고필각관측치적영향인자，최소이승해불시최우。위득도최우적최소이승해，재이차곡면의합모형적기출상제출료직접정권적방법，탐토료각류가권최소이승모형적차이성，통과실험，장직접정권법여선권질대법급가권체추최소이승법진행료대비분석。결과표명，각충모형정도차이교소，직접정권간단실용，가재실제공정중추엄응용。
Generally, the GNSS height fitting is based on the classic Gauss-Markov model, in which the least square solution is not optimal because the influential factors of each observed value are ignored. The paper puts forward a direct weighing deter-mining method on the basis of quadric surface fitting model by discussing the differences among several types of weighted least squares models, so as to obtain the optimal solution. The direct weighing method is compared with iteration method with variable weights and the recursive weighted least squares method by experiments, and the results show that there is little difference in the accuracy of above three methods, the direct weighing determining method is simple and practical for practical applications.