Regularized inversion of the Laplace transform for series of experiments.
Laplace inversion
NMR relaxation
regularization
Journal
Magnetic resonance in chemistry : MRC
ISSN: 1097-458X
Titre abrégé: Magn Reson Chem
Pays: England
ID NLM: 9882600
Informations de publication
Date de publication:
08 2019
08 2019
Historique:
received:
21
11
2018
revised:
14
01
2019
accepted:
15
01
2019
pubmed:
23
1
2019
medline:
23
1
2019
entrez:
23
1
2019
Statut:
ppublish
Résumé
Not only in low-field nuclear magnetic resonance, Laplace inversion is a relevant and challenging topic. Considerable conceptual and technical progress has been made, especially for the inversion of data encoding two decay dimensions. Distortion of spectra by overfitting of even moderate noise is counteracted requiring a priori smooth spectra. In this contribution, we treat the case of simple and fast one-dimensional decay experiments that are repeated many times in a series in order to study the evolution of a sample or process. Incorporating the a priori knowledge that also in the series dimension evolution should be smooth, peak position can be stabilized and resolution improved in the decay dimension. It is explained how the standard one-dimensional regularized Laplace inversion can be extended quite simply in order to include regularization in the series dimension. Obvious improvements compared with series of one-dimensional inversions are presented for simulated as well as experimental data. For the latter, comparison with multiexponential fitting is performed.
Types de publication
Journal Article
Research Support, Non-U.S. Gov't
Langues
eng
Sous-ensembles de citation
IM
Pagination
836-844Subventions
Organisme : Deutsche Forschungsgemeinschaft
ID : HA 2840/6-1
Pays : International
Organisme : Deutsche Forschungsgemeinschaft
ID : MU 1368/13-1
Pays : International
Informations de copyright
© 2019 John Wiley & Sons, Ltd.
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