期刊
MAGNETIC RESONANCE IN CHEMISTRY
卷 59, 期 3, 页码 324-345出版社
WILEY
DOI: 10.1002/mrc.5082
关键词
Hankel matrix; low rank; NMR spectroscopy; nonuniformly sampling; reconstruction
资金
- National Natural Science Foundation of China (NSFC) [61971361, 61871341, 61811530021, U1632274]
- National Key R&D Program of China [2017YFC0108703]
- Natural Science Foundation of Fujian Province of China [2018J06018]
- Fundamental Research Funds for the Central Universities [20720180056]
- Xiamen University Nanqiang Outstanding Talents Program
This review summarizes recent advances in low-rank Hankel matrix and tensor methods, which effectively denoise and reconstruct spectra by leveraging the exponential property of free-induction decay signals. Future developments outlined are likely to enhance NMR spectroscopy as a more powerful technique.
Nuclear magnetic resonance (NMR) spectroscopy is an important analytical tool in chemistry, biology, and life science, but it suffers from relatively low sensitivity and long acquisition time. Thus, improving the apparent signal-to-noise ratio and accelerating data acquisition became indispensable. In this review, we summarize the recent progress on low-rank Hankel matrix and tensor methods, which exploit the exponential property of free-induction decay signals, to enable effective denoising and spectra reconstruction. We also outline future developments that are likely to make NMR spectroscopy a far more powerful technique.
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