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Nonuniform sampling of hypercomplex multidimensional NMR experiments: Dimensionality, quadrature phase and

Adam D Schuyler1, Mark W Maciejewski1, Alan S Stern2

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Journal of Magnetic Resonance (San Diego, Calif. : 1997)
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Nonuniform sampling (NUS) in multidimensional NMR reduces artifacts by leveraging dimensionality and quadrature phase information. Partial-component NUS offers enhanced artifact reduction in complex experiments.

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AliasingCompressed sensingDiscrete Fourier transform (DFT)Partial-component NUSPoint-spread function (PSF)

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Area of Science:

  • Nuclear Magnetic Resonance (NMR) Spectroscopy
  • Spectroscopic Data Analysis
  • Computational Chemistry

Background:

  • Nonuniform sampling (NUS) enables higher dimensional NMR experiments beyond Nyquist limits.
  • NUS data spectra can contain artifacts from sampling and reconstruction, unlike uniformly sampled data analyzed with DFT.
  • Understanding NUS artifacts is crucial for optimizing experimental design and spectral quality.

Purpose of the Study:

  • To characterize artifacts induced by nonuniform sampling (NUS) in multidimensional NMR.
  • To quantify the impact of randomization and dimensionality on artifact reduction in NUS schemes.
  • To explore the benefits of partial-component NUS for reducing sampling artifacts.

Main Methods:

  • Analysis of point-spread functions (PSFs) for specifically designed NUS schemes.
  • Quantification of artifact reduction by comparing NUS schemes with uniformly undersampled data.
  • Investigation of the interplay between indirect time dimensions and the quadrature phase dimension.

Main Results:

  • A synergistic relationship exists between indirect time dimensions and the quadrature phase dimension for artifact reduction.
  • Partial-component NUS, utilizing a subset of quadrature components, reduces sampling-induced aliases more effectively than full-component NUS.
  • Artifact reduction efficacy scales exponentially with the dimensionality of the sample space.

Conclusions:

  • Partial-component NUS is a valuable strategy for reducing sampling artifacts in high-dimensional NMR experiments.
  • The dimensionality of the NMR experiment significantly influences the effectiveness of artifact reduction techniques.
  • NUS-induced artifacts can be mitigated through strategic sampling schedule design, particularly by exploiting the quadrature phase dimension.