HAL : hal-00673346, version 1

DOI : 10.1016/j.jmr.2011.06.002

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Journal of Magnetic Resonance 212 (2011) 26-39

Cardinal series to restore NMR-signals dominated by strong inhomogeneous broadening

Stéphane Rodts (  Auteur correspondant ) 1, Dimitri Bytchenkoff 1

(17/06/2011)

We have devised two numerical methods of restoring incomplete band-limited NMR-signals to integrity by either interpolating or extrapolating them. Both methods are based on use of the finite cardinal series, whose filtering properties were discussed previously, to model signals. They require no prior knowledge about the system under study, but only that the available parts of the signal were oversampled enough. The methods were tested on two types of computer-simulated signal. It proved superior to the linear prediction methods and Lagrange interpolation when applied to signals measured in highly inhomogeneous magnetic fields. The extrapolation method was then applied to restore experimentally-measured refocused FID-signals of a porous medium. The missing parts of the signal of up to several times the size of its Nyquist period could be recovered by either method.

1 :	Laboratoire Navier
	Ecole des Ponts ParisTech – CNRS : UMR8205 – IFSTTAR

Équipe de recherche : Milieux poreux

Domaine

:

Sciences de l'ingénieur/Traitement du signal et de l'image Informatique/Traitement du signal et de l'image Physique/Physique/Instrumentations et Détecteurs

Mots Clés : Cardinal – Bayesian – Interpolation – Extrapolation – Oversampling – Truncation – NMR

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Contributeur : Stephane Rodts <>

Soumis le : Jeudi 23 Février 2012, 13:42:07

Dernière modification le : Mardi 28 Février 2012, 11:09:03