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Frequency-domain method based on the singular value decomposition for frequency-selective NMR spectroscopy.

Petre Stoica·Niclas Sandgren·Yngve Selén·Leentje Vanhamme·Sabine Van Huffel
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Abstract

In several applications of NMR spectroscopy the user is interested only in the components lying in a small frequency band of the spectrum. A frequency selective analysis deals precisely with this kind of NMR spectroscopy: parameter estimation of only those spectroscopic components that lie in a preselected frequency band of the NMR data spectrum, with as little interference as possible from the out-of-band components and in a computationally efficient way. In this paper we introduce a frequency-domain singular value decomposition (SVD)-based method for frequency selective spectroscopy that is computationally simple, statistically accurate, and which has a firm theoretical basis. To illustrate the good performance of the proposed method we present a number of numerical examples for both simulated and in vitro NMR data.

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AlgorithmsComputer SimulationFourier AnalysisMagnetic Resonance SpectroscopyModels, MolecularSignal Processing, Computer-AssistedStochastic Processesgamma-Aminobutyric AcidComparative StudyEvaluation StudyJournal ArticleResearch Support, Non-U.S. Gov'tValidation Study

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Petre Stoica, Niclas Sandgren, Yngve Selén, Leentje Vanhamme, Sabine Van Huffel. 2003. Frequency-domain method based on the singular value decomposition for frequency-selective NMR spectroscopy.. https://doi.org/10.1016/s1090-7807(03)00188-5

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