Abstract

Thanks to their special spatiotemporal encoding/decoding scheme, ultrafast (UF) NMR sequences can deliver arbitrary 2D spectra following a single excitation. Regardless of their nature, these sequences have in common their tracing of a path in the [Formula: see text]-[Formula: see text] plane, that will deliver the spectrum being sought after a 1D Fourier transformation versus [Formula: see text]. This need to simultaneously digitize two domains, tends to impose bandwidth limitations along all spectral axes. Along the [Formula: see text]/[Formula: see text] dimension this problem is exacerbated by the fact that odd and even time points are not equispaced, and by additional artifacts such as time shifts between time points sampled while under the action of positive and negative decoding gradients. As a result, odd and even [Formula: see text] points are typically Fourier transformed separately, halving the potential spectral width along this dimension. While this halving of the [Formula: see text] span can be overcome by an interlaced Fourier transform, this post-processing is seldom used because of its sensitivity to hardware inaccuracies requiring even finer corrections of the even/odd [Formula: see text] data points. These corrections have so far been done manually, but are challenging to implement when dealing with low signal-to-noise ratio signals like those associated with biomolecular NMR experiments. This study introduces an algorithm for an automatic correction of all even/odd ultrafast NMR inconsistencies, based on the acquisition of a reference scan on the solvent. This algorithm was verified experimentally using an [Formula: see text]-[Formula: see text] UF-HSQC variant on ubiquitin at 600MHz. Features of this method as well as of the interlaced Fourier transformation in general, are discussed.

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