Resolution and uncertainty of Laplace inversion spectrum
Resolution and uncertainty of Laplace inversion spectrum
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DOI：
10.1016/j.mri.2006.11.023
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发表时间：
2007-05-01
影响因子：
2.5
通讯作者：
Song, Yi-Qiao
中科院分区：
文献类型：
--
作者：
Song, Yi-Qiao
拉普拉斯逆变换被广泛用于分析核磁共振数据，以获得衰减时间常数的谱，如T(2)谱。然而，由于这种反演的病态性质，很难确定结果谱的可靠性和误差。本文介绍了用来分析分辨率和获得光谱积分界的方法。(C)2007 Elsevier Inc.保留所有权利。
Laplace inversion has been widely used in analyzing nuclear magnetic resonance data to obtain a spectrum of decay time constant, such as the T(2) spectrum. However, due to the ill-conditioned nature of such inversion, it is difficult to determine the reliability and error of the resulting spectrum. This article describes methods used to analyze resolution and to obtain bounds of integral quantities of the spectrum. (C) 2007 Elsevier Inc. All rights reserved.