A new definition of the information content of N.M.R. spectra suitable for use in maximum entropy signal processing

20 June 1986

journal article
research article
Published by Taylor & Francis in Molecular Physics

Vol. 58 (3) , 485-495
https://doi.org/10.1080/00268978600101311

Abstract

A new definition of spectral entropy appropriate for coherence spectroscopies such as pulsed nuclear magnetic resonance spectroscopy is developed, based on an information theoretic analogue of the Von Neumann equation for entropy in quantum mechanics. It is shown that the resulting definition meets some important but previously unrecognized requirements for spectral entropy in coherence spectroscopies, and that it is possible to employ it, in a practical way, in maximum entropy signal processing. The definition is an extension of, but consistent with, the conventional one used in incoherent optical image processing.

Keywords

This publication has 13 references indexed in Scilit:

Data analysis: The maximum entropy method
Nature, 1984
Consistent Inference of Probabilities for Reproducible Experiments
Physical Review Letters, 1984
Two-dimensional reconstructions from one-dimensional data by maximum entropy
Nature, 1983
The thermodynamics of computation—a review
International Journal of Theoretical Physics, 1982
Introduction
Published by Elsevier ,1982
Axiomatic derivation of the principle of maximum entropy and the principle of minimum cross-entropy
IEEE Transactions on Information Theory, 1980
Image reconstruction from incomplete and noisy data
Nature, 1978
Restoring with Maximum Likelihood and Maximum Entropy*
Journal of the Optical Society of America, 1972
III Matrix Treatment of Partial Coherence
Published by Elsevier ,1964
Information Theory and Statistical Mechanics
Physical Review B, 1957