Title
Reconstruction of self-sparse 2D NMR spectra from undersampled data in the indirect dimension.
Abstract
Reducing the acquisition time for two-dimensional nuclear magnetic resonance (2D NMR) spectra is important. One way to achieve this goal is reducing the acquired data. In this paper, within the framework of compressed sensing, we proposed to undersample the data in the indirect dimension for a type of self-sparse 2D NMR spectra, that is, only a few meaningful spectral peaks occupy partial locations, while the rest of locations have very small or even no peaks. The spectrum is reconstructed by enforcing its sparsity in an identity matrix domain with l(p) (p = 0.5) norm optimization algorithm. Both theoretical analysis and simulation results show that the proposed method can reduce the reconstruction errors compared with the wavelet-based l(1) norm optimization.
Year
DOI
Venue
2011
10.3390/s110908888
SENSORS
Keywords
Field
DocType
NMR,spectral reconstruction,sparsity,undersampling,compressed sensing
Analytical chemistry,Two-dimensional nuclear magnetic resonance spectroscopy,Undersampling,Spectral line,Engineering,Spectroscopy,Identity matrix,Nuclear magnetic resonance spectroscopy,Compressed sensing,Wavelet
Journal
Volume
Issue
ISSN
11
9
1424-8220
Citations 
PageRank 
References 
11
0.97
13
Authors
5
Name
Order
Citations
PageRank
Xiaobo Qu126726.43
Di Guo21488.34
Xue Cao3123.11
Shuhui Cai4146.10
Zhong Chen522521.56