Frequency-domain method based on the singular value decomposition for frequency-selective NMR spectroscopy |
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Authors: | Stoica Petre Sandgren Niclas Selén Yngve Vanhamme Leentje Van Huffel Sabine |
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Institution: | Systems and Control Division, Department of Information Technology, Uppsala University, P.O. Box 337, SE-751 05, Uppsala, Sweden. |
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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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