| Publication type: |
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Articles dans des revues avec comité de lecture |
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| Subject: |
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| Title: |
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Cardinal series to restore NMR-signals dominated by strong inhomogeneous broadening |
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| Author(s): |
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Stéphane Rodts ( ,  ) 1, Dimitri Bytchenkoff ( ) 1 |
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| Laboratory: |
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| 1: |
Laboratoire Navier |
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Ecole des Ponts ParisTech – CNRS : UMR8205 – IFSTTAR |
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Ecole des Ponts ParisTech 6 / 8 avenue Blaise Pascal 77455 CHAMPS SUR MARNE |
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France |
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| Research team: |
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Milieux poreux |
| Abstract: |
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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. |
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| Fulltext language: |
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English |
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| Production date: |
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2011-06-17 |
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| Journal: |
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| Journal of Magnetic Resonance (J Magn Reson) |
| Publisher |
Elsevier |
| ISSN |
1090-7807 (eISSN : 1096-0856) |
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| Revue du Wos: |
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Yes |
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| Audience: |
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international |
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| Etat de l'article: |
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published |
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| Publication date: |
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2011-06-17 |
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| Date de soumission à la revue: |
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2011-04-06 |
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| Volume: |
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212 |
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| Page, identifiant, ...: |
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26-39 |
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| Keyword(s): |
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Cardinal – Bayesian – Interpolation – Extrapolation – Oversampling – Truncation – NMR |
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| ANR Project: |
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| Project Id |
ANR-06-JCJC-0106 |
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