基于判断矩阵的观测量粗差发现和定位相关性分析Core.PDFVIP

34 1 Vol. 34 , N o. 1 2005 2 A CT A GEO DA ET ICA et CART OG RA PHICA SI NI CA Feb. , 2005 : 2005 : P207 : A 1, 2 1 2 2 岑敏仪 , 顾利亚, 李志林 , 丁晓利 ( 1. , 6 1003 1; 2. , Judgement Matrix Based Correlation Analysis of Detectable and Locatable Gross Errors in Observations 1, 2 1 2 2 CEN M inyi , GU L iya , L I Zhilin , DIN G X iaoli ( 1. School of Civ il Eng ineering , Southw est Jiaotong Univ ersity , Chengdu 6 100 31, China; 2. D ep t. of Land Surv ey ing and Geo nf or matics , The H ong Kong Poly technic University , K owloon, H ong K ong , China) Abstract: T he Boolean matrix is used to analyze t he j udg ement matrix in this paper. T he number of interactio n ob servations in detecting and lo cating gross errors, the max imum number of detectable g ross er rors in the observations, and the max imum number of locatable gross errors in the observations in a surveying system are formulated . T he test indicates that t he current methods of detect ing g ross errors, i . e. iteration data snooping and iteration method w ith v ar iable w eig hts, cant w holly correctly locate the g ross err ors if t he gross errors arise simultaneously and observa tions are interaction for locating gross erro rs. T he solutions of the ex periments verify the eff ectiveness and superiority of w hich the judgement matrix and the Boolean matrix ar e used to analyze the co rrelation of multiple detectable and locatable gr oss errors . Key words: gross