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Generalized Fourier Transform for Non-Uniform Sampled Data

Chapter in book
Authors Krzysztof Kazimierczuk
M. Misiak
J. Stanek
A. Zawadzka-Kazimierczuk
W. Kozminski
Published in Novel Sampling Approaches in Higher Dimensional NMR
Volume 316
Pages 79-124
ISBN 978-3-642-27160-1
ISSN 0340-1022
Publisher Springer-Verlag Berlin
Place of publication Berlin
Publication year 2012
Published at Swedish NMR Centre at Göteborg University
Pages 79-124
Language en
Links dx.doi.org/10.1007/128_2011_186
https://gup.ub.gu.se/file/187127
Keywords Biomolecular NMR, Multidimensional NMR, Non-linear sampling, Sparse sampling, nuclear-magnetic-resonance, 3-dimensional nmr-spectroscopy, filter, diagonalization method, evolution time-space, fast multidimensional nmr, maximum-entropy method, protein nmr, coupling-constants, uncertainty, principle, spectral information
Subject categories Physical Chemistry, Organic Chemistry

Abstract

Fourier transform can be effectively used for processing of sparsely sampled multidimensional data sets. It provides the possibility to acquire NMR spectra of ultra-high dimensionality and/or resolution which allow easy resonance assignment and precise determination of spectral parameters, e. g., coupling constants. In this chapter, the development and applications of non-uniform Fourier transform is presented.

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