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.
authors.affiliation: Department of Communication Engineering, Fujian Key Laboratory of Plasma and Magnetic Resonance, Xiamen University, Xiamen 361005, China. quxiaobo@xmu.edu.cn
authors.forename: Xiaobo
authors.initials: X
authors.lastname: Qu
authors.forename: Di
authors.initials: D
authors.lastname: Guo
authors.forename: Xue
authors.initials: X
authors.lastname: Cao
authors.forename: Shuhui
authors.initials: S
authors.lastname: Cai
authors.forename: Zhong
authors.initials: Z
authors.lastname: Chen
mesh_terms: D009682:Magnetic Resonance Spectroscopy / Q000379:methods*; D015394:Molecular Structure