Comparison of Methods for Short Crested Wave Analysis

2011 ◽  
Author(s):  
Joris van den Berg
Keyword(s):  
Maximum Likelihood ◽  
Maximum Entropy ◽  
Maximum Entropy Method ◽  
Maximum Likelihood Method ◽  
Entropy Method ◽  
Likelihood Method ◽  
Comparison Of Methods ◽  
Wave Analysis ◽  
Small Footprint ◽  
Probe Array

A comparison was made of the robustness and accuracy of Maximum Likelihood Method (MLM) and Maximum Entropy Method (MEM) short crested wave analysis using a small footprint probe array.

scholarly journals The Use of Bayesian Statistics in Image Estimation from Interferometer Data

1979 ◽  
Vol 49 ◽  
pp. 227-234
Author(s):  
T. J. Cornwell
Keyword(s):  
Maximum Likelihood ◽  
Bayesian Statistics ◽  
Maximum Entropy Method ◽  
Maximum Likelihood Method ◽  
Entropy Method ◽  
Likelihood Method ◽  
Image Estimation ◽  
Long Baseline ◽  
Sky Brightness ◽  
Data Adaptive

The problem of estimating radio sky brightness distributions from incomplete, and noisy, visibility measurements, such as those collected by a long baseline interferometer, has recently been attacked using nonlinear data-adaptive techniques such as the Maximum Entropy method (Abies (1974), Wernecke (1976), Wernecke and D’Addario (1977), Gull and Daniell (1978)) and the Maximum Likelihood method (Papadopoulos (1975)).

THE RELATIONSHIP BETWEEN MAXIMUM ENTROPY SPECTRA AND MAXIMUM LIKELIHOOD SPECTRA

Geophysics ◽  
1972 ◽  
Vol 37 (2) ◽  
pp. 375-376 ◽  
Author(s):  
John Parker Burg
Keyword(s):  
Spectral Analysis ◽  
Maximum Likelihood ◽  
Maximum Entropy ◽  
Short Note ◽  
Entropy Method ◽  
Likelihood Method ◽  
Almost All ◽  
The Relationship ◽  
Exact Relationship ◽  
Special Case

In a long needed paper, R. T. Lacoss (1971) has presented many examples of spectra obtained by the maximum likelihood method and by the maximum entropy method and has shown that these newer techniques are in general superior to the more conventional spectral analysis methods. This short note shows that there exists a simple, exact relationship between maximum entropy spectra and maximum likelihood spectra when the correlation function is known at uniform intervals of lag. The data are of this form in almost all practical cases of time series analysis as well as in the special case of wavenumber spectral analysis of wave propagation as seen by a linear array of equally spaced sensors. The wavenumber case will be explicitly considered in this note since it requires the complex variable form of the theory.

A Maximum Entropy Method with a Priori Maximum Likelihood Constraints

1997 ◽  
Vol 478 (2) ◽  
pp. 658-662 ◽  
Author(s):  
R. G. Lyon ◽  
J. M. Hollis ◽  
J. E. Dorband
Keyword(s):  
Maximum Likelihood ◽  
Maximum Entropy ◽  
Maximum Entropy Method ◽  
A Priori ◽  
Entropy Method

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.

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