Publication date: Available online 13 October 2014 Source:Progress in Nuclear Magnetic Resonance Spectroscopy
Author(s): Mehdi Mobli , Jeffrey C. Hoch
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. Graphical abstract
[NMR paper] Time-resolved multidimensional NMR with non-uniform sampling.
Time-resolved multidimensional NMR with non-uniform sampling.
Time-resolved multidimensional NMR with non-uniform sampling.
J Biomol NMR. 2014 Jan 17;
Authors: Mayzel M, Rosenlöw J, Isaksson L, Orekhov VY
Abstract
Time-resolved experiments demand high resolution both in spectral dimensions and in time of the studied kinetic process. The latter requirement traditionally prohibits applications of the multidimensional experiments, which, although capable of providing invaluable information about structure and dynamics and almost unlimited...
nmrlearner
Journal club
0
01-18-2014 11:31 AM
[NMR analysis blog] Non Uniform Sampling (NUS) NMR Processing
Non Uniform Sampling (NUS) NMR Processing
Background
In the last few years, Non-Uniform Sampling (NUS) has emerged as a very powerful tool to significantly speed up the acquisition of multidimensional NMR experiments due to the fact that only a subset of the usual linearly sampled data in the Nyquist grid is measured.
Unfortunately, this fast acquisition modality introduces a new challenge as the normal Fourier Transform will fail and consequently, special processing techniques are required.
A number of sophisticated methods have been proposed for reconstructing sparsely sampled 2D...
nmrlearner
News from NMR blogs
0
12-21-2013 03:15 PM
Random sampling in multidimensional NMR spectroscopy
Random sampling in multidimensional NMR spectroscopy
Publication year: 2010
Source:Progress in Nuclear Magnetic Resonance Spectroscopy, Volume 57, Issue 4</br>
Krzysztof Kazimierczuk, Jan Stanek, Anna Zawadzka-Kazimierczuk, Wiktor Ko?mi?ski</br>
</br>
</br></br>
nmrlearner
Journal club
0
03-09-2012 09:16 AM
Al NMR: a novel NMR data processing program optimized for sparse sampling
Al NMR: a novel NMR data processing program optimized for sparse sampling
Abstract Sparse sampling in biomolecular multidimensional NMR offers increased acquisition speed and resolution and, if appropriate conditions are met, an increase in sensitivity. Sparse sampling of indirectly detected time domains combined with the direct truly multidimensional Fourier transform has elicited particular attention because of the ability to generate a final spectrum amenable to traditional analysis techniques. A number of sparse sampling schemes have been described including radial sampling, random...
nmrlearner
Journal club
0
11-17-2011 01:47 AM
Knowledge-based nonuniform sampling in multidimensional NMR
Knowledge-based nonuniform sampling in multidimensional NMR
Abstract The full resolution afforded by high-field magnets is rarely realized in the indirect dimensions of multidimensional NMR experiments because of the time cost of uniformly sampling to long evolution times. Emerging methods utilizing nonuniform sampling (NUS) enable high resolution along indirect dimensions by sampling long evolution times without sampling at every multiple of the Nyquist sampling interval. While the earliest NUS approaches matched the decay of sampling density to the decay of the signal envelope, recent...
nmrlearner
Journal club
0
06-06-2011 12:53 AM
[NMR paper] Fast multidimensional NMR: radial sampling of evolution space.
Fast multidimensional NMR: radial sampling of evolution space.
Related Articles Fast multidimensional NMR: radial sampling of evolution space.
J Magn Reson. 2005 Apr;173(2):317-21
Authors: Kupce E, Freeman R
Multidimensional NMR spectroscopy can be speeded up by limited radial sampling of the time-domain evolution data. The resulting frequency-domain projections are used to reconstruct the full NMR spectrum. New algorithms are proposed to suppress back-projection artifacts while retaining optimum sensitivity. The method is illustrated by...
nmrlearner
Journal club
0
11-25-2010 08:21 PM
Random sampling in multidimensional NMR spectroscopy
Random sampling in multidimensional NMR spectroscopy
Publication year: 2010
Source: Progress in Nuclear Magnetic Resonance Spectroscopy, In Press, Accepted Manuscript, Available online 3 August 2010</br>
Krzysztof, Kazimierczuk , Jan, Stanek , Anna, Zawadzka-Kazimierczuk , Wiktor, Ko?mi?ski</br>
More...
nmrlearner
Journal club
0
08-16-2010 03:50 AM
Iterative algorithm of discrete Fourier transform for processing randomly sampled NMR
Abstract Spectra obtained by application of multidimensional Fourier Transformation (MFT) to sparsely sampled nD NMR signals are usually corrupted due to missing data. In the present paper this phenomenon is investigated on simulations and experiments. An effective iterative algorithm for artifact suppression for sparse on-grid NMR data sets is discussed in detail. It includes automated peak recognition based on statistical methods. The results enable one to study NMR spectra of high dynamic range of peak intensities preserving benefits of random sampling, namely the superior resolution in...
Nonuniform sampling and non-Fourier signal processing methods in multidimensional NMR
Linear Mode
