观测结构的度量  

Measurement of Observation Structure

作　　者：卢秀山[1] 冯遵德[2] 

机构地区：[1]山东科技大学基础地理信息与数字化技术重点实验室 [2]徐州师范大学测绘学院

出　　处：《武汉大学学报（信息科学版）》2008年第8期831-833,共3页Geomatics and Information Science of Wuhan University

基　　金：国家自然科学基金资助项目(40474005);武汉大学地球空间环境与大地测量教育部重点实验室测绘基础研究基金资助项目(1469990324233-04-05)

摘　　要：给出了超平行多面体体积的表达式,论证了超平行多面体体积与Gram行列式的值之间的关系,提出了一种度量观测结构优劣的方法,并通过实例对该方法进行了验证。The irrationality of observation structure is one of the reasons resulting in ill-condition in parameter estimation,and measuring observation strocture is an effective way to diagnose whether it is ill-conditioned in a system or not. An expression of the volume of hyper- parallel polyhedron is presented, the relationship between the volume and the value of Gram DET is proposed and a method is put forward to measure the advantages and disadvantages of observation structure.

关 键 词：观测结构 超平行多面体 GRAM行列式 病态性 

分 类 号：P207.2[天文地球—测绘科学与技术]