波谱学杂志
波譜學雜誌
파보학잡지
CHINESE JOURNAL OF MAGNETIC RESONANCE
2014年
4期
535-547
,共13页
郑慧%韩明月%胡炳文%杨光
鄭慧%韓明月%鬍炳文%楊光
정혜%한명월%호병문%양광
固体核磁共振(solid-state NMR)%压缩感知%采样模式%DQ-SQ%伪随机
固體覈磁共振(solid-state NMR)%壓縮感知%採樣模式%DQ-SQ%偽隨機
고체핵자공진(solid-state NMR)%압축감지%채양모식%DQ-SQ%위수궤
solid-state NMR%compressed sensing%sampling scheme%DQ-SQ%pseudo-random
为了提高固体二维双量子-单量子(DQ-SQ)谱的采集速度,根据DQ-SQ谱的自稀疏性,该文使用了一种基于压缩感知技术的重建算法。其优化的能量函数是有限差分约束的l1范数,并使用不同的权重对水平和竖直方向的有限差分项进行约束。该文分别对伪随机采样、全随机采样和e指数采样等采样模式进行了比较,发现伪随机采样表现出最佳的重建结果。进一步研究发现伪随机的极限形式,即t1截尾(t1-cutoff)采样模式效果最佳。
為瞭提高固體二維雙量子-單量子(DQ-SQ)譜的採集速度,根據DQ-SQ譜的自稀疏性,該文使用瞭一種基于壓縮感知技術的重建算法。其優化的能量函數是有限差分約束的l1範數,併使用不同的權重對水平和豎直方嚮的有限差分項進行約束。該文分彆對偽隨機採樣、全隨機採樣和e指數採樣等採樣模式進行瞭比較,髮現偽隨機採樣錶現齣最佳的重建結果。進一步研究髮現偽隨機的極限形式,即t1截尾(t1-cutoff)採樣模式效果最佳。
위료제고고체이유쌍양자-단양자(DQ-SQ)보적채집속도,근거DQ-SQ보적자희소성,해문사용료일충기우압축감지기술적중건산법。기우화적능량함수시유한차분약속적l1범수,병사용불동적권중대수평화수직방향적유한차분항진행약속。해문분별대위수궤채양、전수궤채양화e지수채양등채양모식진행료비교,발현위수궤채양표현출최가적중건결과。진일보연구발현위수궤적겁한형식,즉t1절미(t1-cutoff)채양모식효과최가。
To increase the speed of acquisition of two-dimensional solid-state DQ-SQ spectrum, a compressed sensing algorithm which makes use of the self-sparsity of the spectrum to construct under-sampled data. The energy function used in optimization is l1 norm together with the finite difference term. In the finite different term, we used different weights for the horizontal and vertical finite differences. Different sampling schemes were compared and pseudo-random sampling combined with compressed sensing reconstruction was found to yield the best results. Furthermore, we found that the extreme case of pseudo-random sampling, that is, t1-cutoff sampling may be the best choice.