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迭代软阈值法压缩感知重建谱峰较宽的二维固体谱

韩明月 郑慧 胡炳文 杨光

波谱学杂志Issue(4):551-562,12.
波谱学杂志Issue(4):551-562,12.DOI:10.11938/cjmr20150401

迭代软阈值法压缩感知重建谱峰较宽的二维固体谱

Compressed Sensing Reconstruction with Iterative Soft Thresholding for Two-Dimensional Solid-State NMR Spectra with Broad Peaks

韩明月 1郑慧 1胡炳文 1杨光1

作者信息

  • 1. 华东师范大学物理系,上海市磁共振重点实验室,上海 200062
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摘要

Abstract

Conjugate gradient (CG) method has been used previously to reconstruct double quantum-single quantum (DQ-SQ) spectra. However, satisfactory results can be obtained only when the spectra contain only narrow peaks, but not in the case when broad peaks are present. Compressed sensing technology can break the limit of the Nyquist acquisition theorem and reconstruct under-sampled data with high quality. The technology has been applied in the field of nuclear magnetic resonance (NMR). In this paper, we propose to use compressed sensing with iterative soft thresholding (IST) to reconstruct two-dimensional solid-state NMR spectra with broad peaks, such as the spectra obtained in1H DQ-SQ and 87Rb multiple quantum-magic angle spinning (MQ-MAS) experiments. It was found that, with the IST method, compressed sensing technology could be used to reconstruct high-quality spectra containing broad peaks from under-sampled datasets.

关键词

压缩感知(Compressed Sensing, CS)/固体核磁共振/软阈值/随机欠采/共轭梯度

Key words

compressed sensing/solid-state NMR/iterative soft thresholding/pseudo- random sampling/conjugate gradient

分类

数理科学

引用本文复制引用

韩明月,郑慧,胡炳文,杨光..迭代软阈值法压缩感知重建谱峰较宽的二维固体谱[J].波谱学杂志,2015,(4):551-562,12.

基金项目

上海市科委资助项目(08DZ1900700). (08DZ1900700)

波谱学杂志

OA北大核心CSCDCSTPCD

1000-4556

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