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Abstract #1418

A low rank Hankel matrix reconstruction approach to recover hybrid time and frequency data in non-uniformly sampled magnetic resonance spectroscopy

Hengfa Lu1, Xinlin Zhang1, Tianyu Qiu1, Jian Yang1, Di Guo2, Zhong Chen1, and Xiaobo Qu1

1Department of Electronic Science, Xiamen University, Xiamen, People's Republic of China, 2School of Computer and Information Engineering, Xiamen University of Technology, Xiamen, People's Republic of China

Magnetic resonance spectroscopy has many important applications in bio-engineering while the acquisition of high dimensional spectroscopy is usually time consuming. Non-uniformly sampling can speed up the data acquisition but the missing data points have to be restored with proper signal models. In this work, a specific two dimensional magnetic resonance signal, of which the first dimension lies in time domain while the second dimension lies in frequency domain, is reconstructed with a proposed low rank enhanced Hankel matrix method. Results on realistic magnetic resonance spectroscopy shows that proposed method outperform the state-of-art compressed sensing method on recovering low intensities spectral peaks.

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