Nonuniform sampling was first proposed more than 40 years ago as an alternate method for sampling two-dimensional NMR data was initially pursued by only a small number of scientists. However, it has been gradually adopted after it was shown that major gains in measuring time and spectrum resolution can be obtained. Furthermore, migration of NMR software to the Unix environment facilitated development of new processing tools, and there is now a selection of programs available that yield high-quality reconstructions of NUS data. Moreover, it became obvious that recording high-resolution 3D and 4D protein NMR spectra at the resolution provided by modern high-field instruments was not possible with uniform sampling. It has become apparent that sparse, low dynamic-range NMR spectra, in particular, the triple resonance experiments are all best recorded with NUS. Optimal sampling schedules can yield benefits with respect to detecting weak peaks in high dynamic-range spectra and therefore a careful use of 2D HSQC-like spectra of mixed concentrations of small molecules is feasible. It is not yet clear whether crowded high dynamic-range spectra, such as NOESYs with many cross-peaks, benefit from NUS. On the other hand, NUS appears to be the best option for recording such high dynamic-range spectra if crowding can be reduced by shorten NOESY mixing times and/or by reducing overlap through isotopic labeling in high-resolution 3D and 4D experiments. Here we discuss principals and applications of the method, trying to provide a wide overview, but are biased by our own approaches. Thus, we will obviously miss important developments elsewhere and do not claim to be comprehensive.
Keywords: DFT; Data reconstruction; FFT; NMR; Nonuniform sampling; Resolution; Sensitivity; Sparse sampling.
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