Di Guo^{1}, Zhangren Tu^{1,2}, Zifei Zhang^{3}, Tianyu Qiu^{3}, Xiaofeng Du^{1}, Min Xiao^{2}, Zhong Chen^{3}, and Xiaobo Qu^{3}

^{1}School of Computer and Information Engineering, Xiamen University of Technology, Xiamen, China, ^{2}School of Opto-Electronic and Communication Engineering, Xiamen University of Technology, Xiamen, China, ^{3}Department of Electronic Science, Xiamen University, Xiamen, China

The magnetic resonance diffusion ordering spectrum has been widely used in the separation of mixture due to the mobility of molecular self-diffusion reaction molecules. We propose a hybrid time and exponential decay signal recovery method based on low rank Hankel matrix^{1 }to accelerate the acquisition. The experimental results show that this method enables to reduce the error between the recovery diffusion spectrum and the fully sampled signal, and enhance the peak intensity.

This work was supported in part by the National Natural Science Foundation of China (61871341, 61971361, 61571380, 61811530021, U1632274), the National Key R&D Program of China (2017YFC0108703), the Natural Science Foundation of Fujian Province of China (2018J06018), the Fundamental Research Funds for the Central Universities (20720180056), and the Science and Technology Program of Xiamen (3502Z20183053) .

The correspondence should be sent to Dr. Xiaobo Qu (Email: quxiaobo@xmu.edu.cn)

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Figure1. The signal recovery results from 10% FID of fully-sampled n-propanol, dihydrofuran and dichloromethane dissolved in deuterated dimethyl subpeaks. (a) recovery results of ITAMeD; (b) recovery results of proposed method; (c) fully sampled spectrum; (d) 1D spectra at the first diffusion gradient.

Figure 2. The correlation of peak intensity between the fully sampled spectrum the recovered spectra. (a) and (b) are the correlations obtained by ITAMeD and the proposed method, respectively; (c) and (d) are the correlations of low-intensity peak obtained by two methods.