测绘科学技术学报2017，Vol.34Issue(4)：342-346,5.DOI:10.3969/j.issn.1673-6338.2017.04.003
基于信噪比检验的部分奇异值双参数修正估计
Partial Singular Value Correction Estimation with Double Parameters Based on Signal-to-Noise Ratio Test
摘要
Abstract
Embarking from the analysis of the singular values expansions of LS estimation and ridge estimation, the methods of solving ill-posed problems are studied in this paper. The correction of ridge parameter to singular value in ridge estimation cannot effectively reduce the variance of estimation, but increase the deviation of estimation, which is an important reason that the effect of ridge estimation is sometimes not good. First, according to the idea of TSVD estimation, the items corresponding to larger singular values in the expansion are retain, and the items cor-responding to smaller singular values are fixed. Before the revision, utilizing the method of signal-to-noise ratio test, all the parameters are divided into two parts according to the influence extent each parameter suffers from col-linearity. Accordingly, the correction of different intensity with double parameters are made. This method is named partial singular value correction estimationwith double parameters based on signal-to-noise ratio test. Experimental results show that the new method has higher calculation precision.关键词
信噪比/复共线性/岭估计/奇异值/双参数Key words
signal-to-noise ratio/multicollinearity/ridge estimation/singular value/double parameters分类
天文与地球科学引用本文复制引用
李豪,顾勇为,郭淑妹..基于信噪比检验的部分奇异值双参数修正估计[J].测绘科学技术学报,2017,34(4):342-346,5.基金项目
国家自然科学基金项目(41174005 （）
41474009) （）
信息工程大学自主科研课题项目(2016603006). （2016603006）
