Output details

Evaluation of Fourier transform estimation schemes of multidimensional signals using random sampling

<01>Originality: This paper presents the results of investigation into selected non-uniform, multidimensional sampling schemes over finite intervals used for estimation multidimensional Fourier Transforms. The relations between the average sampling rates and the accuracy of estimation are determined.

Significance: The paper addresses an important aspect limiting performance of Nuclear Magnetic Resonance (NMR) spectroscopy where the classical spectral analyses may fail owing to the time- and computational power constraints affecting data collection and processing hardware

Rigour: Formal mathematical analyses support all major findings of this research. Results published in a leading, peer-reviewed journal.