Autoregressive estimation of complex eigenfrequencies in low frequency seismic spectra

Bainbridge Chao, Freeman Gilbert · Geophysical Journal International · 1980

The fact that a seismogram can be represented as an autoregressive (AR) time series and the use of Prony's method enable us to obtain the complex frequencies from the poles of the corresponding AR process. A frequency-domain formulation which employs a time-domain tapering technique is devised so that spectral peaks can be analysed individually, or in small groups. Statistical analysis of the estimators and several examples from two recent earthquakes illustrate the method.

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