Maximum entropy reconstruction of complex (phase-sensitive) spectra

There is no general agreement on the definition of the entropy of a complex spectrum. We consider a number of possible definitions for use in maximum entropy reconstruction, comparing their analytical properties and the quality of spectrum reconstructions computed for synthetic and experimental NMR...

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Bibliographic Details
Published inJournal of magnetic resonance (1969) Vol. 86; no. 2; pp. 236 - 246
Main Authors Hoch, Jeffrey C, Stern, Alan S, Donoho, David L, Johnstone, Iain M
Format Journal Article
LanguageEnglish
Published Orlando, FL Elsevier Inc 01.02.1990
Academic Press
Subjects
Atomic and molecular physics
Exact sciences and technology
Molecular properties and interactions with photons
Nuclear resonance and relaxation
Physics
Theoretical study
Data processing
Method of maximum entropy
Signal reconstruction
Aqueous solution
Experimental study
NMR spectrum
Signal to noise ratio
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Summary:There is no general agreement on the definition of the entropy of a complex spectrum. We consider a number of possible definitions for use in maximum entropy reconstruction, comparing their analytical properties and the quality of spectrum reconstructions computed for synthetic and experimental NMR data. On the basis of this comparison, we conclude that the entropy of the power spectrum is not well suited for spectrum reconstruction in NMR; conversely, there is one definition which appears to be better suited in every respect than the others considered.
ISSN:0022-2364
1557-8968
DOI:10.1016/0022-2364(90)90256-9