Dynamic NMR: combined use of 1D selective EXSY and complete lineshape analysis of spectra subjected to reference deconvolution and linear prediction or the maximum entropy method

2001 ◽  
Vol 39 (10) ◽  
pp. 607-614 ◽  
Author(s):  
Nikolay G. Vassilev ◽  
Valentin S. Dimitrov
Keyword(s):  
Maximum Entropy ◽  
Maximum Entropy Method ◽  
Linear Prediction ◽  
Entropy Method ◽  
Dynamic Nmr ◽  
Lineshape Analysis ◽  
Combined Use

Nonlinearity of the maximum entropy method in resolution enhancement

1992 ◽  
Vol 70 (12) ◽  
pp. 2887-2894 ◽  
Author(s):  
J. K. Kauppinen ◽  
D. J. Moffatt ◽  
H. H. Mantsch
Keyword(s):  
Maximum Entropy ◽  
Maximum Entropy Method ◽  
Linear Prediction ◽  
Signal To Noise Ratio ◽  
Resolution Enhancement ◽  
Nonlinear Behavior ◽  
Entropy Method ◽  
Spectral Lines ◽  
High Signal ◽  
Intensity Pattern

The nonlinear behavior of the filter-type Maximum Entropy Method (MEM) was investigated from a theoretical and a practical point of view. The integrated intensity of the output spectral lines of MEM was probed as a function of the input intensity pattern, the filter length, and the S/N ratio of the input spectrum. The nonlinear behavior of MEM has been explained and the results compared with those derived by another method, LOMEP (Lineshape Optimized Maximum Entropy linear Prediction). The study was carried out with the aim of resolution enhancement of spectra that have high signal-to-noise ratio.

Enhanced Information Recovery in 2D On-and Off-Resonance Nutation NQR using the Maximum Entropy Method

1996 ◽  
Vol 51 (5-6) ◽  
pp. 337-347 ◽  
Author(s):  
Mariusz Maćkowiak ◽  
Piotr Kątowski
Keyword(s):  
Maximum Entropy ◽  
Maximum Entropy Method ◽  
Theoretical Description ◽  
Entropy Method ◽  
Zero Field ◽  
Resonance Effects ◽  
Information Recovery ◽  
Truncation Errors ◽  
Enhanced Resolution ◽  
2D Data

Abstract Two-dimensional zero-field nutation NQR spectroscopy has been used to determine the full quadrupolar tensor of spin - 3/2 nuclei in serveral molecular crystals containing the 3 5 Cl and 7 5 As nuclei. The problems of reconstructing 2D-nutation NQR spectra using conventional methods and the advantages of using implementation of the maximum entropy method (MEM) are analyzed. It is shown that the replacement of conventional Fourier transform by an alternative data processing by MEM in 2D NQR spectroscopy leads to sensitivity improvement, reduction of instrumental artefacts and truncation errors, shortened data acquisition times and suppression of noise, while at the same time increasing the resolution. The effects of off-resonance irradiation in nutation experiments are demonstrated both experimentally and theoretically. It is shown that off-resonance nutation spectroscopy is a useful extension of the conventional on-resonance experiments, thus facilitating the determination of asymmetry parameters in multiple spectrum. The theoretical description of the off-resonance effects in 2D nutation NQR spectroscopy is given, and general exact formulas for the asymmetry parameter are obtained. In off-resonance conditions, the resolution of the nutation NQR spectrum decreases with the spectrometer offset. However, an enhanced resolution can be achieved by using the maximum entropy method in 2D-data reconstruction.

Estimating the distribution of primary reflection coefficients

Geophysics ◽  
2003 ◽  
Vol 68 (4) ◽  
pp. 1417-1422 ◽  
Author(s):  
Danilo R. Velis
Keyword(s):  
Maximum Entropy ◽  
Maximum Entropy Method ◽  
Entropy Method ◽  
Reflection Coefficients ◽  
Log Data ◽  
Neuquen Basin ◽  
Neuquén Basin ◽  
Skewness And Kurtosis

The distribution of primary reflection coefficients can be estimated by means of the maximum entropy method, giving rise to smooth nonparametric functions which are consistent with the data. Instead of using classical moments (e.g. skewness and kurtosis) to constraint the maximization, nonconventional sample statistics help to improve the quality of the estimates. Results using real log data from various wells located in the Neuquen Basin (Argentina) show the effectiveness of the method to estimate both robust and consistent distributions that may be used to simulate realistic sequences.

Maximum entropy method in phase-encoding NMR imaging

1987 ◽  
Vol 4 (1) ◽  
pp. 78-82 ◽  
Author(s):  
B. C. De Simone ◽  
F. De Luca ◽  
B. Maraviglia
Keyword(s):  
Maximum Entropy ◽  
Maximum Entropy Method ◽  
Entropy Method ◽  
Nmr Imaging ◽  
Phase Encoding
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