Diffusion-Ordered NMR Spectroscopy Reconstruction Based on Low-rank and Sparse Inverse Laplace Transform
Enping Lin1, Yu Yang1, Yuqing Huang1, and Zhong Chen1
1Department of Electronic Science, Xiamen University, Xiamen, China
We
point out that desired DOSY data should have joint properties of low-rank and
sparsity, based on which the optimization model is proposed to attain
high-resolution DOSY reconstruction.
Figure 1 The data
proccessing flow diagram of DOSY
Figure 2. Reconstructed
spectrum for experimental data QGC consisting of quinine (100MmM/L), geraniol
(100mMMm/L), camphene (200 mMMm/L) dissolved in deuterated methanol (a)
mono-exponential fitting, (b) SILT, and (c) our method named LRSpILT. Areas
marked by red rectangular are with overlapping peaks. Artefacts in (b) and (c)
are marked with black arrow. Highlighted areas are projected onto the diffusion
coefficient dimension, and shown in Figure 4. The center diffusion coefficient
values of components are marked with dashed lines.