控制网连接点坐标值粗差的可定位性研究

在原有测量控制网(称旧网)的基础上建立同级扩大网或低级加密网(称新网)时,新旧网之间的重合点(称连接点)坐标值粗差的检验是平差前的一个重要环节。本文将连接点坐标视为带协方差阵的观测值,采用数据探测法定位其粗差。借助于 Gauss-Markov模型下两个备选假设检验的理论,推导了连接点相关坐标观测值粗差可定位性基本公式,讨论了各类平面网中连接点坐标观测值粗差的可发现性和可区分性。

On the Localizability of Blunders in Correlated Coordinates of Junction Points in Densification Networks

In order to obtain reliable adjustment results of densification networks,it is neces-sary to detect the blunders in the coordinates of junction points. In this paper,the coordinatesof junction points are considered as correlated observations with covariance matrices,and thedata snooping method is used to detect the blunders in the coordinates. Based on the theory ofreliability and discernability of extended Gauss-Markov models,the localizability of the blun-ders in the corrlated coordinates is formulated,and demonstrated with the examples of typicaldensification networks (including GPS baseline networks). Some suggestions for the design ofdensification networks have been made. This study has also found that the value of a redundan-cy number, usually used as a measure for the reliability,may be beyond the interval 0, 1] forcorrelated observations.