Abstract The systems belonging to the European Position Determination System (EUPOS) are obliged to have a sub-service for automatic post-processing (APPS) of static satellite user observations based on observations registered by reference stations. The optimization of the number of tie vectors to reference stations is determined by the authors of APPS algorithms and is a key issue. The study validates the determination of the position of a point based on a smaller number of tie vectors than for the standard solution provided by a sub-service on an example of APPS of the Polish Active Geodetic Network (ASG-EUPOS). It was shown that the reduction of the number of tie vectors by one does not result in a significant deterioration of the accuracy of the obtained coordinates. The other objective of this study is to propose a method for comparing 3D sets. This method is based on 3D figures of assessment and a modification of a method for comparing text sets. The proposed method was validated by comparison with the Spearman correlation coefficient and Mahalanobis distance. The usefulness of the method for similarity and dissimilarity analyses of 3D sets has been demonstrated with an example of comparing the combination of reference vectors with a standard solution of APPS of ASG-EUPOS.

中文翻译：

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使用中心立方体中的频率方法验证后处理中的连接向量数量

摘要 属于欧洲定位系统 (EUPOS) 的系统必须具有基于参考站注册的观测的静态卫星用户观测自动后处理 (APPS) 子服务。参考站联系向量数量的优化由 APPS 算法的作者决定，是一个关键问题。该研究基于波兰主动大地测量网络 (ASG-EUPOS) 的一个 APPS 示例验证了基于比子服务提供的标准解决方案更少的连接向量确定点的位置。结果表明，将连接向量的数量减少 1 不会导致所获得坐标精度的显着恶化。本研究的另一个目的是提出一种比较 3D 集的方法。该方法基于 3D 评估图和用于比较文本集的方法的修改。通过与Spearman相关系数和Mahalanobis距离的比较，验证了所提出的方法。通过比较参考向量组合与 ASG-EUPOS 的 APPS 标准解决方案的示例，证明了该方法对 3D 集的相似性和非相似性分析的有用性。