Characteristics of GPS positioning error with non-uniform pseudorange error

	Characteristics of GPS positioning error with non-uniform pseudorange error
	Fan, Jiangtao1 ; Ma, Guanyi1,2
刊名	GPS SOLUTIONS
	2014-10-01
卷号	18 期号:4 页码:615-623
关键词	Non-uniform pseudorange error GPS random positioning error Singular value decomposition Eigenvalue
英文摘要	We study the characteristics of the random GPS positioning errors when the pseudorange errors differ for each satellite. A concise, explicit, analytical formula is derived for the covariance of the positioning error by using singular value decomposition. It is composed of a uniform error covariance together with additional contributions from those satellites with larger pseudorange errors. The eigenvectors of the uniform error covariance define the principal directions of the 4-dimensional error ellipsoid, and the eigenvalues are the squares of the semi-axes. The additional part from individual satellites has only one eigenvector and one eigenvalue. This makes the error ellipsoid enlarge mainly along a direction related to both the overall satellite geometry and the position of the specific satellites. The theory is validated by simulating the GPS constellation and pseudorange measurements. The random positioning error is examined while any one or more pseudorange errors are increased. Horizontal positioning error distributions are presented to demonstrate the variations of the orientation and size of the error ellipses with the pseudorange error of a specific satellite. The results show that the analytical formula describes the positioning error accurately.
收录类别	SCI
语种	英语
WOS记录号	WOS:000342151200013
内容类型	期刊论文
源URL	[http://ir.bao.ac.cn/handle/114a11/6372]
专题	国家天文台_应用天文研究部
作者单位	1.Chinese Acad Sci, Natl Astron Observ, Beijing, Peoples R China 2.Univ Chinese Acad Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Fan, Jiangtao,Ma, Guanyi. Characteristics of GPS positioning error with non-uniform pseudorange error[J]. GPS SOLUTIONS,2014,18(4):615-623.
APA	Fan, Jiangtao,&Ma, Guanyi.(2014).Characteristics of GPS positioning error with non-uniform pseudorange error.GPS SOLUTIONS,18(4),615-623.
MLA	Fan, Jiangtao,et al."Characteristics of GPS positioning error with non-uniform pseudorange error".GPS SOLUTIONS 18.4(2014):615-623.