Analysis to the Effectiveness of Observation Based on QR Decomposition

Author

Liu, Jimin ; Lu, Xiushan ; Guo, Ying

Author_Institution

Geomatics Coll., Shandong Univ. of Sci. & Technol., Qingdao, China

Volume

4

fYear

2010

fDate

4-6 June 2010

Firstpage

227

Lastpage

230

Abstract

In order to diagnose the II Ill-conditioning of the parameter estimation system in the modern surveying and mapping data processing, the effectiveness of observation is analyzed using observation structure. Through the QR decomposition of observation matrix, we transfer the analysis of the observation structure into the analysis of R matrix, then we propose a relative-volume method to analysize the effectiveness of observation, the geometric meaning of which is plain. Examples show this method can accurately measure the II Ill-conditioning of parameter estimation system and is a new method for quantitative diagnosis of II Ill-conditioning.

Keywords

data handling; matrix algebra; parameter estimation; II Ill-conditioning quantitative diagnosis method; QR decomposition; R matrix; data mapping process; observation matrix; observation structure; parameter estimation system; relative-volume method; Analysis of variance; Data processing; Educational institutions; Gaussian processes; Geophysical measurements; Information analysis; Inverse problems; Matrix decomposition; Parameter estimation; II Ill-conditioning; QR decomposition; effectiveness of observation; observation structure; relative-volume method;

fLanguage

English

Publisher

ieee

Conference_Titel

Information and Computing (ICIC), 2010 Third International Conference on

Conference_Location

Wuxi, Jiang Su

Print_ISBN

978-1-4244-7081-5

Electronic_ISBN

978-1-4244-7082-2

Type

conf

DOI

10.1109/ICIC.2010.328

Filename

5514060