ON THE CALCULATION OF FILTER COEFFICIENTS FOR MAXIMUM ENTROPY SPECTRAL ANALYSIS

Geophysics ◽  
1974 ◽  
Vol 39 (1) ◽  
pp. 69-72 ◽  
Author(s):  
N. Andersen
Keyword(s):  
Spectral Analysis ◽  
Maximum Entropy ◽  
Maximum Entropy Method ◽  
Spectral Estimation ◽  
Entropy Method ◽  
Geophysical Data ◽  
Data Series ◽  
Maximum Entropy Spectral Analysis ◽  
Long Period ◽  
Mathematical Properties

The maximum entropy method (MEM) for spectral analysis was suggested by Burg (1967). Its mathematical properties have been discussed in detail by Lacoss (1971), Burg (1972), and Ulrych (1972b) who found that the MEM in general is superior to the more conventional methods of spectral estimation. It has, for example, better resolution and gives more realistic power estimates, especially for short data records. However, the application of the method in the analysis of more complicated geophysical data series is reported in a surprisingly small number of papers. Ulrych (1972a) successfully used the MEM for the analysis of data on long period geomagnetic reversals.

Multichannel maximum-entropy method for the Wigner-Ville distribution

Geophysics ◽  
2020 ◽  
Vol 85 (1) ◽  
pp. V25-V31
Author(s):  
Yanghua Wang ◽  
Ying Rao ◽  
Duo Xu
Keyword(s):  
Spectral Analysis ◽  
Maximum Entropy ◽  
Seismic Data ◽  
Maximum Entropy Method ◽  
Entropy Method ◽  
Reflection Coefficients ◽  
Resolution Time ◽  
Maximum Entropy Spectral Analysis ◽  
Cross Term ◽  
Time Frequency

The Wigner-Ville distribution is a powerful technique for the time-frequency spectral analysis of nonstationary seismic data. However, the Wigner-Ville distribution suffers from cross-term interference between different wave components in seismic data. To mitigate cross-term interference, we have developed a multichannel maximum-entropy method (MEM) to modify the Wigner-Ville kernel. The method is related to the conventional maximum-entropy spectral analysis (MESA) algorithm because both algorithms use Burg’s reflection coefficients for the calculation of the prediction-error filter (PEF). The MESA algorithm works on the standard autocorrelation sequence, but it does not work for the Wigner-Ville kernel, which is an instantaneous autocorrelation sequence. Our multichannel MEM algorithm uses the PEF to modify any single Wigner-Ville kernel sequence by exploiting multiple Wigner-Ville kernel sequences simultaneously. This multichannel implementation is capable of robustly determining the reflection coefficient and a minimum-phased PEF for the Wigner-Ville kernel sequence. The Wigner-Ville distribution and the multichannel MEM algorithm in conjunction with each other in turn can produce a high-resolution time-frequency spectrum by mitigating the cross-term interferences and suppressing the spurious energy in the spectrum.

scholarly journals Maximum Entropy Spectral Analysis – Some Comments

1979 ◽  
Vol 49 ◽  
pp. 257-257
Author(s):  
Rajendra Bhandari
Keyword(s):  
Spectral Analysis ◽  
Data Analysis ◽  
Maximum Entropy ◽  
Maximum Entropy Method ◽  
Computer Experiments ◽  
Entropy Method ◽  
Model Data ◽  
Maximum Entropy Spectral Analysis ◽  
Strong Function ◽  
Background White Noise

AbstractStudy of a model data analysis situation with the help of computer experiments reveals that the Maximum Entropy Method of Spectral Analysis owes its popularity to a peak-sharpening property which is found to be a strong function of the level of background white noise present in the spectrum. In one limit, misleading results may be obtained by this technique. Some suggestions for a more fruitful use of the technique are made.

scholarly journals Optical Spectral Analysis of Real-Time TDDFT Using Maximum Entropy Method

2015 ◽  
Vol 14 (3) ◽  
pp. 71-73 ◽  
Author(s):  
Mitsuki TOOGOSHI ◽  
Satoru S. KANO ◽  
Yasunari ZEMPO
Keyword(s):  
Spectral Analysis ◽  
Maximum Entropy ◽  
Real Time ◽  
Maximum Entropy Method ◽  
Entropy Method

Twenty-Four-Hour Power Spectral Analysis by Maximum Entropy Method of Blood Pressure in Primary Hyperaldosteronism

1993 ◽  
Vol 2 (3) ◽  
pp. 189-196 ◽  
Author(s):  
Franco Veglio ◽  
Giuliano Pinna ◽  
Remo Melchio ◽  
Franco Rabbia ◽  
Paola Molino ◽  
...  
Keyword(s):  
Blood Pressure ◽  
Spectral Analysis ◽  
Maximum Entropy ◽  
Maximum Entropy Method ◽  
Power Spectral Analysis ◽  
Entropy Method ◽  
Primary Hyperaldosteronism ◽  
Power Spectral
Sign in / Sign up

Export Citation Format

Share Document