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Application of linear prediction and singular value decomposition (LPSVD) to determine NMR frequencies and intensities from the FID
Author(s) -
Barkhuijsen H.,
De Beer R.,
Bovee W. M. M. J.,
Creyghton J. H. N.,
Van Ormondt D.
Publication year - 1985
Publication title -
magnetic resonance in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.696
H-Index - 225
eISSN - 1522-2594
pISSN - 0740-3194
DOI - 10.1002/mrm.1910020111
Subject(s) - singular value decomposition , amplitude , decomposition , fast fourier transform , mathematics , value (mathematics) , nuclear magnetic resonance , constant (computer programming) , linear prediction , phase (matter) , spectral analysis , parametric statistics , singular value , mathematical analysis , analytical chemistry (journal) , chemistry , physics , statistics , algorithm , spectroscopy , optics , computer science , chromatography , quantum mechanics , eigenvalues and eigenvectors , organic chemistry , programming language
A parametric spectral analysis based on linear prediction and singular value decomposition has been applied to the 31 P FID of a tumor implanted in a mouse. It is found that a number of complications that may arise in in vivo FFT NMR can be circumvented. The new method yields all parameters of the spectral components, i. e., the frequency, amplitude, damping constant, and phase.