Analysis of a polarized seismic wave model

Author

Anderson, Soren ; Nehorai, Arye

Author_Institution

Ericsson Radio Syst. AB, Stockholm, Sweden

Volume

44

Issue

2

fYear

1996

fDate

2/1/1996 12:00:00 AM

Firstpage

379

Lastpage

386

Abstract

We present a model for polarized seismic waves where the data are collected by three-component geophone receivers. The model is based on two parameters describing the polarization properties of the waveforms. These parameters are the ellipticity and the orientation angle of the polarization ellipse. The model describes longitudinal waveforms (P-waves) as well as elliptically polarized waves. For the latter waves the direction-of-propagation of the waveform is in the plane spanned by the ellipse´s major and minor axes; Rayleigh waves are treated as a special case. We analyze the identifiability of the models and derive the Cramer-Rao and mean-square-angular-error (MSAE) bounds involving one or two three-component geophones

Keywords

Rayleigh waves; acoustic receivers; error analysis; geophysical signal processing; identification; parameter estimation; polarisation; seismic waves; seismology; seismometers; Cramer-Rao bounds; P-waves; Rayleigh waves; elliptically polarized waves; ellipticity; identifiability; longitudinal waveforms; mean square angular error bounds; orientation angle; parameters; polarization ellipse; polarization properties; polarized seismic wave model; propagation direction; three-component geophone receivers; Data analysis; Earth; Earthquakes; Explosions; Parameter estimation; Polarization; Seismic measurements; Seismic waves; Seismology; Vibrations;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.485933

Filename

485933