Open AccessCharacteristic correlation time as estimate of optimum filter length in Maximum Entropy Spectral Analysis
Author(s) -
Rovelli A.,
Vulpiani A.
Publication year - 1983
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1983.tb03784.x
Subject(s) - autocovariance , mathematics , maximum entropy spectral estimation , principle of maximum entropy , correlation , filter (signal processing) , statistical physics , statistics , mathematical analysis , physics , geometry , computer science , fourier transform , computer vision
Summary An original conceptually simple criterion for the choice of filter length M for Maximum Entropy Spectral Analysis based on the correlation time‐scale of data set is proposed. The following formula is obtained from the autocovariance estimates Φ tThe application of the proposed criterion to various digital geophysical records has provided satisfactory results. The method is well suited to geophysical signals because they often have a remarkable Markovian character in the broader sense, i.e. the autocovariances have values decreasing roughly exponentially as the time lags increase. Computer simulations on mathematically defined time series confirm the reliability of this criterion.