Abstract The family of resolution enhancement and spectral reconstruction techniques collectively known as covariance NMR continues to expand, along with the list of applications for these techniques. Recent advances in covariance NMR include the utilization of covariance to reconstruct pure shift NMR spectra, and the growing use of covariance NMR in processing non-uniformly sampled data, especially in solid state NMR and metabolomics. This review describes theoretical and practical considerations for direct and indirect covariance NMR techniques, and summarizes recent additions to the covariance NMR family. The review also outlines some of the applications of covariance NMR, and places covariance NMR in the larger context of methods that use statistical and algebraic approaches to enhance and combine various kinds of spectroscopic data, including tensor-based approaches for multidimensional NMR and heterocovariance spectroscopy.

中文翻译：

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协方差核磁共振：理论问题、实际考虑、当代应用和相关技术

摘要 统称为协方差 NMR 的分辨率增强和光谱重建技术系列以及这些技术的应用范围不断扩大。协方差 NMR 的最新进展包括利用协方差重建纯位移 NMR 谱，以及越来越多地使用协方差 NMR 处理非均匀采样数据，尤其是在固态 NMR 和代谢组学中。这篇综述描述了直接和间接协方差 NMR 技术的理论和实践注意事项，并总结了协方差 NMR 系列的最新内容。该评论还概述了协方差 NMR 的一些应用，并将协方差 NMR 置于使用统计和代数方法来增强和组合各种光谱数据的方法的更大背景中，