Nonuniform sampling and non-Fourier signal processing methods in multidimensional NMR

Mobli, Mehdi and Hoch, Jeffrey C. (2014) Nonuniform sampling and non-Fourier signal processing methods in multidimensional NMR. Progress in Nuclear Magnetic Resonance Spectroscopy, 83 21-41. doi:10.1016/j.pnmrs.2014.09.002

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Author Mobli, Mehdi
Hoch, Jeffrey C.
Title Nonuniform sampling and non-Fourier signal processing methods in multidimensional NMR
Journal name Progress in Nuclear Magnetic Resonance Spectroscopy   Check publisher's open access policy
ISSN 0079-6565
Publication date 2014-11-01
Year available 2014
Sub-type Article (original research)
DOI 10.1016/j.pnmrs.2014.09.002
Volume 83
Start page 21
End page 41
Total pages 21
Place of publication Amsterdam, Netherlands
Publisher Elsevier
Language eng
Abstract Beginning with the introduction of Fourier Transform NMR by Ernst and Anderson in 1966, time domain measurement of the impulse response (the free induction decay, FID) consisted of sampling the signal at a series of discrete intervals. For compatibility with the discrete Fourier transform (DFT), the intervals are kept uniform, and the Nyquist theorem dictates the largest value of the interval sufficient to avoid aliasing. With the proposal by Jeener of parametric sampling along an indirect time dimension, extension to multidimensional experiments employed the same sampling techniques used in one dimension, similarly subject to the Nyquist condition and suitable for processing via the discrete Fourier transform. The challenges of obtaining high-resolution spectral estimates from short data records using the DFT were already well understood, however. Despite techniques such as linear prediction extrapolation, the achievable resolution in the indirect dimensions is limited by practical constraints on measuring time. The advent of non-Fourier methods of spectrum analysis capable of processing nonuniformly sampled data has led to an explosion in the development of novel sampling strategies that avoid the limits on resolution and measurement time imposed by uniform sampling. The first part of this review discusses the many approaches to data sampling in multidimensional NMR, the second part highlights commonly used methods for signal processing of such data, and the review concludes with a discussion of other approaches to speeding up data acquisition in NMR.
Keyword Multidimensional
Signal processing
Non-uniform sampling
Reduced dimensionality
Fast acquisition
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: Official 2015 Collection
Centre for Advanced Imaging Publications
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