Judgement Matrix Based Correlation Analysis of Detectable and Locatable Gross Errors in Observations
CEN Min-yi1,2, GU Li-ya1, LI Zhi-lin2, DING Xiao-li2
(1.School of Civil Engineering, Southwest Jiaotong University, Chengdu 610031,China; 2.Dept. of Land Surveying and Geo-Informatics, The Hong Kong Polytechnic University, Kowloon, Hong Kong, China)
Abstract£ºThe Boolean matrix is used to analyze the judgement matrix in this paper. The number of interaction observations in detecting and locating gross errors, the maximum number of detectable gross errors in the observations, and the maximum number of locatable gross errors in the observations in a surveying system are formulated. The test indicates that the current methods of detecting gross errors, i.e. iteration data snooping and iteration method with variable weights, can't wholly correctly locate the gross errors if the gross errors arise simultaneously and observations are interaction for locating gross errors. The solutions of the experiments verify the effectiveness and superiority of which the judgement matrix and the Boolean matrix are used to analyze the correlation of multiple detectable and locatable gross errors.
Key words£ºgross error detection; gross error location; judgement matrix; Boolean matrix