PMID: 11607089Jul 1, 1990Paper

Does the maximum entropy method improve sensitivity?

Proceedings of the National Academy of Sciences of the United States of America
D L DonohoJeffrey C Hoch

Abstract

Maximum entropy reconstruction has been used in several fields to produce visually striking reconstructions of positive objects (images, densities, spectra) from noisy, indirect measurements. In magnetic resonance spectroscopy, this technique is notable for its apparent noise suppression and its avoidance of the artifacts that affect discrete Fourier transform spectra of short (zero-extended) data records. In the general case where the length of the reconstructed spectrum exceeds that of the data record or where a convolution kernel is incorporated in the reconstruction, no known analytical solution to the reconstruction problem exists. Consequently, knowledge of the properties of maximum entropy reconstruction has been mainly anecdotal, based on a small selection of published reconstructions. However, in the limiting case where the lengths of the reconstructed spectrum and the data record are the same and a convolution kernel is not applied, the problem can be solved analytically. The solution has a simple structure that helps explain several commonly observed features of maximum entropy reconstructions--for example, the biases in the recovered intensities and the fact that noise near the baseline is more successfully suppress...Continue Reading

Citations

Jun 1, 2011·Journal of Biomolecular NMR·Adam D SchuylerJeffrey C Hoch
Jan 25, 2012·Journal of the American Society for Mass Spectrometry·Elena N KitovaJohn S Klassen
Mar 28, 2003·Journal of Magnetic Resonance·David RovnyakJeffrey C Hoch
Apr 21, 2012·Journal of Natural Products·Sileshi G WubshetJerzy W Jaroszewski
Apr 7, 2012·Physical Chemistry Chemical Physics : PCCP·Mehdi MobliJeffrey C Hoch
Dec 3, 2008·The Journal of Chemical Physics·David A SnyderRafael Brüschweiler
Jan 10, 2014·Accounts of Chemical Research·Jeffrey C HochAlan S Stern
Apr 1, 2014·Journal of Biomolecular NMR·Melissa R PalmerDavid Rovnyak
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Aug 29, 2007·Journal of Magnetic Resonance·Alan S SternJeffrey C Hoch
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Jul 12, 2021·Journal of Magnetic Resonance·Jonathan R J YongTim D W Claridge
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Apr 23, 2015·The Journal of Physical Chemistry. B·Melissa R PalmerDavid Rovnyak
Jun 5, 2020·The Journal of Physical Chemistry. a·Manpreet KaurLeonard J Mueller

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