Evaluation of the Fast Inverse Laplace Transform for Three-Dimensional NMR Distribution Functions

A fast inverse Laplace transform (ILT) for the three-dimensional (3-D) nuclear magnetic resonance distribution was proposed by the authors with a designed pulse sequence and an efficient data-processing algorithm in Zhang et al. (Appl Magn Reson 44:849–857, 2013 ). In this paper, evaluation method t...

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Bibliographic Details
Published inApplied magnetic resonance Vol. 44; no. 11; pp. 1335 - 1343
Main Authors Zhang, Zongfu, Xiao, Lizhi, Liao, Guangzhi, Liu, Huabin, Xu, Wei, Wu, Yan, Jiang, Sijia
Format Journal Article
LanguageEnglish
Published Vienna Springer Vienna 01.11.2013
Springer Nature B.V
Subjects
Algorithms
Atoms and Molecules in Strong Fields
Data processing
Distribution functions
Editing
Laplace transforms
Laser Matter Interaction
NMR
Nuclear magnetic resonance
Organic Chemistry
Physical Chemistry
Physics
Physics and Astronomy
Porous materials
Regularization methods
Simulation
Solid State Physics
Spectroscopy/Spectrometry
Variables
Residual Error
Laplace Inversion
Nuclear Magnetic Resonance
Inversion Result
Inverse Laplace Transform
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Summary:A fast inverse Laplace transform (ILT) for the three-dimensional (3-D) nuclear magnetic resonance distribution was proposed by the authors with a designed pulse sequence and an efficient data-processing algorithm in Zhang et al. (Appl Magn Reson 44:849–857, 2013 ). In this paper, evaluation method to the 3-D ILT algorithm is introduced and the simulation results using simulated data with three different signal-to-noise ratios demonstrate that the precision and speed are excellent.
ISSN:0937-9347
1613-7507
DOI:10.1007/s00723-013-0487-1