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Novel Sampling Approaches in Higher Dimensional NMR pp 79–124Cite as

Generalized Fourier Transform for Non-Uniform Sampled Data

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Part of the book series: Topics in Current Chemistry ((TOPCURRCHEM,volume 316))

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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Acknowledgments

This work has been supported in part by the EC contract EAST-NMR no 228461. Bio-NMR project under the seventh Framework Programme of the EC grant agreement 261863 for conducting the research is gratefully acknowledged. A.Z.-K. thanks the Foundation for Polish Science for supporting her with the MPD Programme that was co-financed by the EU European Regional Development Fund. K.K. thanks the Foundation for Polish Science for supporting him with the KOLUMB scholarship. M.M. and W.K. acknowledge the Ministry of Science and Higher Education of Poland for the grant N204 137937 for the years 2009–2010. We are grateful to V. Motáčková, J. Nováček, L. Žídek, H. Šanderová, L. Krásný, and V. Sklenář for providing Fig. 18.

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Authors and Affiliations

  1. Faculty of Chemistry, University of Warsaw, Pasteura 1, 02093, Warsaw, Poland

    Krzysztof Kazimierczuk, Maria Misiak, Jan Stanek, Anna Zawadzka-Kazimierczuk & Wiktor Koźmiński

  2. Swedish NMR Centre, University of Gothenburg, 465, 405 30, Gothenburg, Sweden

    Krzysztof Kazimierczuk

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  1. Krzysztof Kazimierczuk
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  2. Maria Misiak
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  3. Jan Stanek
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  4. Anna Zawadzka-Kazimierczuk
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  5. Wiktor Koźmiński
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Correspondence to Wiktor Koźmiński .

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Editors and Affiliations

  1. , Department of Chemistry, University of Gothenburg, Göteborg, 405 30, Sweden

    Martin Billeter

  2. , The Swedish NMR Centre, Göteborg University, Medicinaregatan 5C, Göteborg, 413 90, Sweden

    Vladislav Orekhov

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Kazimierczuk, K., Misiak, M., Stanek, J., Zawadzka-Kazimierczuk, A., Koźmiński, W. (2011). Generalized Fourier Transform for Non-Uniform Sampled Data. In: Billeter, M., Orekhov, V. (eds) Novel Sampling Approaches in Higher Dimensional NMR. Topics in Current Chemistry, vol 316. Springer, Berlin, Heidelberg. https://doi.org/10.1007/128_2011_186

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