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A mathematical theorem useful for the direct estimation of seismic source spectra

The Seismological Institute, Hanyang University, 1271 Sa-1 Dong, Ahnsan-shi, Kyonggi-do, Korea
Institute of Geophysics, State Seismological Bureau, 100081 Beijing, China
International Center for Theoretical Physics, 34100 Trieste, Italy

Abstract

In this note, we prove a mathematical theorem for the direct estimation of the source spectra of earthquakes using a single seismogram. Considering a combination of Fourier spectra, the effects of the "source term" and the "attenuation term" from a single seismogram can be separated. Using signal-processing techniques, such an approach may be expressed in terms of the estimation of the Wigner distribution.

This article has been cited by other articles:

				I. B. Morozov Comment on "A mathematical theorem useful for the direct estimation of seismic source spectra" by S. G. Kim, Y.-T. Chen, Z.-L. Wu, and G. F. Panza Bulletin of the Seismological Society of America, June 1, 1998; 88(3): 880 - 880. [PDF]