Accelerating NMR spectroscopy with low rank constraint on time domain signal
Xiaobo Qu 1 , Maxim Mayzel 2 , Jian-Feng Cai 3 , Zhong Chen 1 , and Vladislav Orekhov 2
Department of Electronic Science, Xiamen
University, Xiamen, Fujian, China,
NMR Centre, University of Gothenburg, Gothenburg,
of Mathematics, University of Iowa, Iowa City, Iowa,
Accelerated multi-dimensional NMR spectroscopy is a
prerequisite for studying short-lived molecular systems,
monitoring chemical reactions in real-time,
high-throughput applications, etc. Non-uniform sampling
is a common approach to reduce the measurement time.
Here, we introduce a new method for high quality spectra
reconstruction from non-uniformly sampled data, which is
based on recent developments in the field of signal
processing theory and utilizes the so far unexploited
general property of the NMR signal, its low-rank. Using
experimental and simulated data, we demonstrate that the
low-rank reconstruction is a viable alternative to the
current state-of-the-art technique compressed sensing.
In particular, the low-rank approach is good in
preserving of low intensity broad peaks, and thus
increases the effective sensitivity in the reconstructed
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