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

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.

Cite this paper

@article{Stoica2003FrequencydomainMB, title={Frequency-domain method based on the singular value decomposition for frequency-selective NMR spectroscopy.}, author={Petre Stoica and Niclas Sandgren and Yngve Sel{\'e}n and Leentje Vanhamme and Sabine van Huffel}, journal={Journal of magnetic resonance}, year={2003}, volume={165 1}, pages={80-8} }