Theory of the optimum interpolation reconstruction and an application for 2D NMR spectroscopy

Theory of the optimum interpolation reconstruction and an application for 2D NMR spectroscopy
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最佳插值重构理论及其在二维核磁共振波谱中的应用

DOI：
10.1109/lifetech52111.2021.9391779
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发表时间：
2021
期刊：
Proceedings of 2021 IEEE 3rd Global Conference on Life Sciences and Technologies (LifeTech)
影响因子：
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通讯作者：
Yuichi Kida and Takuro Kida
Yuichi Kida and Takuro Kida
中科院分区：
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文献类型：
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作者：
芳賀和輝;大倉正治;林厚志;竹内佑介;上野宗一郎;大湯健介;北田義孝;青木由直;三橋龍一;Yuichi Kida and Takuro Kida

文献摘要

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提出了一种二维核磁共振谱的最佳插值重建方法。数学上证明了所提出的方法，最大限度地减少了一个任意的上限测量的近似误差。数值实验结果表明，该方法总是比三种稀疏建模方法，CoSAMP，LORAKS和平滑FISTA产生更准确的谱。此外，该方法与高斯过程之间的关系。
We propose an optimum interpolation reconstruction method for 2D NMR spectra. It is mathematically proved that the proposed method minimizes an arbitrary upper bound measure of approximation error. Numerical experiment results show that the proposed method always generate more accurate spectra than three sparse modeling methods, CoSAMP, LORAKS and smoothed FISTA. In addition, the relation between the proposed method and the Gaussian process are shown.