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Göteborgs universitets publikationer

Non-uniform sampling: Post-Fourier era of NMR data collection and processing

Författare och institution:
Krzysztof Kazimierczuk (-); Vladislav Orekhov (Svenskt NMR-centrum vid Göteborgs universitet)
Publicerad i:
Magnetic Resonance in Chemistry, 53 ( 11 ) s. 921-926
Artikel, refereegranskad vetenskaplig
Sammanfattning (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. Copyright © 2015 John Wiley & Sons, Ltd.
Ämne (baseras på Högskoleverkets indelning av forskningsämnen):
Annan naturvetenskap
compressed sensing, maximum entropy, multidimensional NMR, non-uniform sampling, projection reconstruction
Postens nummer:
Posten skapad:
2015-12-29 11:19
Posten ändrad:
2016-01-04 14:30

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