Properties of the Evolutionary Maximum Entropy Spectral Estimator

2005 ◽  
Author(s):  
S.I. Shah ◽  
L.F. Chaparro ◽  
A. El-Jaroudi
Geophysics ◽  
1986 ◽  
Vol 51 (12) ◽  
pp. 2225-2234 ◽  
Author(s):  
K. B. Cox ◽  
I. M. Mason

Conventional moving‐window analyzers based on Fourier transforms sometimes lack the resolution required to separate each of the modes in a seismic waveguide. It is possible to enhance the resolution of a moving‐window analyzer by using a maximum entropy power spectral estimator to approximate the spectrum of each windowed segment of a trace. Barrodale and Erickson have developed a suitable maximum entropy algorithm which can also be applied to estimating the parameters required in the fast recompression of inseam seismic arrivals. The Barrodale‐Erickson maximum entropy algorithm appears to need a sample rate of approximately ten times the Nyquist rate in order to generate meaningful maximum entropy spectra. The required increase can be achieved in the laboratory by applying an accurate interpolator to field records. Noise captures the maximum entropy spectrum if the input signal‐to‐noise ratio falls much below 10 dB. Use of a maximum entropy spectral analyzer aids in both identifying modes in a waveguide system and estimating the group velocity‐frequency characteristic parameter.


1984 ◽  
Vol 75 ◽  
pp. 461-469 ◽  
Author(s):  
Robert W. Hart

ABSTRACTThis paper models maximum entropy configurations of idealized gravitational ring systems. Such configurations are of interest because systems generally evolve toward an ultimate state of maximum randomness. For simplicity, attention is confined to ultimate states for which interparticle interactions are no longer of first order importance. The planets, in their orbits about the sun, are one example of such a ring system. The extent to which the present approximation yields insight into ring systems such as Saturn's is explored briefly.


1986 ◽  
Vol 47 (C5) ◽  
pp. C5-55-C5-62
Author(s):  
M. S. LEHMANN ◽  
T. E. ROBINSON ◽  
S. W. WILKINS

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