秩亏自由网平差的GNSS控制网已知点兼容性检验

Compatibility testing of known points in the GNSS horizontal control network based on rank defect free network adjustment

针对现有方法普遍存在的计算过程繁琐、计算量较大等问题,该文提出了一种基于秩亏自由网平差的全球导航卫星系统(GNSS)控制网已知点兼容性检验方法。该方法利用秩亏自由网平差中重心基准的唯一不变特性,通过对已知点平差坐标与已知坐标较差(即坐标残差)的比较分析,检查和判断各已知点坐标的精度及其兼容性,筛选出符合相应等级精度要求的起算点,简化了繁琐的计算过程,减小了计算工作量,避免对全部已知点不同组合的多次重复计算,提高了检验的效率和有效性。该方法简便易行,可在工程实践中推广应用。

In view of the disadvantages of existing methods such as large amount verbose and complex computation,a method of testing compatibility of known points of the global navigation satellite system(GNSS) control network based on the rank defect free network adjustment was proposed.Using the only constant characteristic of the centre of gravity datum of the rank deficiency free network adjustment,by comparing the adjusting coordinates with the known coordinates of known points,the accuracy of each known point and the compatibility of all the known points were checked and judged,and then the starting points that meet the requirements of the corresponding grade precision were screened out.By this method,the verbose and complex computing process can be simplified,and the computation amount can be reduced by avoiding repeated calculations of the different combinations of all known points,so as to improve the efficiency and effectiveness of the testing method.It is easy and convenient to use and can be applied in large area of practice.