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

Nonuniform sampling and non-Fourier signal processing methods in multidimensional NMR.
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多维NMR中的非均匀采样和非呼吸信号处理方法。

DOI:
10.1016/j.pnmrs.2014.09.002
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发表时间:
2014-11
影响因子:
6.1
通讯作者:
Hoch JC
Hoch JC
中科院分区:
化学1区
文献类型:
--
作者:
Mobli M;Hoch JC

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从1966年Ernst和安德森引入傅里叶变换NMR开始,脉冲响应的时域测量(自由感应衰减,FID)包括以一系列离散间隔对信号进行采样。为了与离散傅立叶变换(DFT)兼容,间隔保持一致,并且奈奎斯特定理规定了足以避免混叠的间隔的最大值。随着Jeener提出的参数采样沿着间接时间维度的建议,多维实验的扩展采用了一维中使用的相同采样技术,类似地服从奈奎斯特条件并适合于通过离散傅立叶变换进行处理。然而,人们已经很好地理解了使用DFT从短数据记录获得高分辨率谱估计的挑战。尽管有诸如线性预测外推的技术,但间接维度中可实现的分辨率受到测量时间的实际约束的限制。能够处理非均匀采样数据的频谱分析的非傅立叶方法的出现,导致了新的采样策略的发展爆炸,避免了均匀采样对分辨率和测量时间的限制。本文的第一部分讨论了多维核磁共振数据采样的许多方法,第二部分突出了常用的信号处理方法,这些数据,和审查的结论与讨论的其他方法,以加快数据采集NMR。
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.
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