DOSY (Diffusion-ordered NMR spectroscopy) presents an essential tool for the analysis of compound mixtures. However, existing DOSY reconstruction methods is limited by its relatively low resolution. Here, based on constraints on low rank and sparsity of DOSY data, we propose a reconstruction method to achieve high-resolution DOSY spectrum for measurements on complex mixtures, even when component signals are congested and mixed together along the spectral dimension. Experiment results indicate that our method is robust and possesses high-resolution reconstruction performance.
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