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| Content Provider | World Health Organization (WHO)-Global Index Medicus |
|---|---|
| Author | Kazimierczuk, Krzysztof Orekhov, Vladislav |
| Description | Country affiliation: Poland Author Affiliation: Kazimierczuk K ( Centre of New Technologies, University of Warsaw, Banacha 2C, Warsaw, 02097, Poland.); Orekhov V ( Swedish NMR Centre, University of Gothenburg, Box 465, Göteborg, S-405 30, Sweden.) |
| Abstract | The invention of multidimensional techniques in the 1970s revolutionized NMR, making it the general tool of structural analysis of molecules and materials. In the most straightforward approach, the signal sampling in the indirect dimensions of a multidimensional experiment is performed in the same manner as in the direct dimension, i.e. with a grid of equally spaced points. This results in lengthy experiments with a resolution often far from optimum. To circumvent this problem, numerous sparse-sampling techniques have been developed in the last three decades, including two traditionally distinct approaches: the radial sampling and non-uniform sampling. This mini review discusses the sparse signal sampling and reconstruction techniques from the point of view of an underdetermined linear algebra problem that arises when a full, equally spaced set of sampled points is replaced with sparse sampling. Additional assumptions that are introduced to solve the problem, as well as the shape of the undersampled Fourier transform operator (visualized as so-called point spread function), are shown to be the main differences between various sparse-sampling methods. |
| File Format | HTM / HTML |
| ISSN | 07491581 |
| Issue Number | 11 |
| Journal | Magnetic Resonance in Chemistry |
| Volume Number | 53 |
| e-ISSN | 1097458X |
| Language | English |
| Publisher | Wiley Heyden |
| Publisher Date | 2015-11-01 |
| Publisher Place | Great Britain (UK) |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Discipline Chemistry |
| Content Type | Text |
| Resource Type | Article |
| Subject | Chemistry Materials Science |
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