观测结构的度量

¹山东科技大学基础地理信息与数字化技术重点实验室,青岛市经济技术开发区前湾港路579号266510;²徐州师范大学测绘学院,徐州市铜山新区上海路101号221116

基金项目: 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)

详细信息

Measurement of Observation Structure

¹Key Laboratory of Fundamental Geo-information & DG-Technology,Shandong University of Science and Technology,579 Qianwangang Road,Qingdao 266510,China;²School of Geodesy and Geomatics,Xuzhou Normal University,101 Shanghai Road,Xuzhou 221116,China

Funds: 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。
- 观测结构 /
- 超平行多面体 /
- Gram行列式 /
- 病态性
Abstract: The irrationality of observation structure is one of the reasons resulting in ill-condition in parameter estimation,and measuring observation structure 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.
- observation structure /
- hyper-parallel polyhedron /
- Gram DET /
- ill-conditioned