A Method of Choosing the Optimal Number of Singular Values in the   Inverse Laplace Transform for the Two-Dimensional NMR Distribution   Function

doi:10.1088/0256-307X/30/1/010201

CORC > 北京大学 > 信息科学技术学院

	A Method of Choosing the Optimal Number of Singular Values in the Inverse Laplace Transform for the Two-Dimensional NMR Distribution Function
	Jiang Zhi-Min ; Wang Wei-Min
刊名	chinese physics letters
	2013
关键词	INTEGRAL-EQUATIONS POROUS-MEDIA 1ST KIND DIFFUSION ECHO
DOI	10.1088/0256-307X/30/1/010201
英文摘要	Two-dimensional (2D) nuclear magnetic resonance (NMR) distributions as functions of diffusion coefficient and relaxation time are powerful tools in the study of porous media. We propose a practical method to perform proper truncation of singular value decomposition (TSVD) in Laplace inversion for obtaining 2D-NMR distributions from measured NMR data. By analyzing basic algorithms for Laplace inversion, it is well known that proper TSVD does not affect the inversion result for an ill-posed problem with zero-order Tikhonov regularization, but can greatly increase the inversion speed. In this new method, the optimal number of singular values for data compression is applied to each dimension separately. The method also makes full use of the redundancy nature of the data with a finite signal-to-noise ratio and well balances the tradeoff between the speed and the bias. The method does not require the stochastic information of the estimated parameters when obtaining the optimal number of singular values.; Physics, Multidisciplinary; SCI(E); 中国科技核心期刊(ISTIC); 中国科学引文数据库(CSCD); 0; ARTICLE; 1; 30
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/291788]
专题	信息科学技术学院
推荐引用方式 GB/T 7714	Jiang Zhi-Min,Wang Wei-Min. A Method of Choosing the Optimal Number of Singular Values in the Inverse Laplace Transform for the Two-Dimensional NMR Distribution Function[J]. chinese physics letters,2013.
APA	Jiang Zhi-Min,&Wang Wei-Min.(2013).A Method of Choosing the Optimal Number of Singular Values in the Inverse Laplace Transform for the Two-Dimensional NMR Distribution Function.chinese physics letters.
MLA	Jiang Zhi-Min,et al."A Method of Choosing the Optimal Number of Singular Values in the Inverse Laplace Transform for the Two-Dimensional NMR Distribution Function".chinese physics letters (2013).