Methods of reconstruction of spectra in multidimensional NMR spectroscopy

In this review, some methods for speeding up the performance of multidimensional nuclear magnetic resonance (NMR) experiments are discussed. It is shown that, at a sufficiently high spectral sensitivity, which does not require multiple scanning with averaging, two-dimensional proton-correlation experiments (COSY and TOCSY) can be performed in less than one minute. A multifold decrease in the time of multidimensional experiments can be achieved by various methods, for example, by the direct excitation of resonance signals with a set of different frequencies obtained using the Hadamard matrix. Methods for reconstructing multidimensional NMR spectra based on the inverse Radon transform and a number of other promising methods are also considered