TY - JOUR
T1 - Analysis of a polarized seismic wave model
AU - Anderson, Sören
AU - Nehorai, Arye
N1 - Funding Information:
Manuscript received January 25, 1994; revised June 30, 1995. The associate editor coordinating the review of this paper and approving it for publication was Prof. Michael P. Clark. This work was supported by the Air Force Office of Scientific Research under Grant no. F49620-93-1-0096, the Office of Naval Research under Grant no. N00014-91-J-1298, the National Science Foundation under Grant no. MIP-9122753, and Schlumberger-Doll Research. S. Anderson is with Ericsson Radio Systems AB, S-164 80 Stockholm, Sweden (e-mail: [email protected]). A. Nehorai was with the Department of Electrical Engineering, Yale University, New Haven, CT. He is now with the Department of Electrical Engineering and Computer Science, The University of Illinois at Chicago, Chicago, IL 60607-7053 USA. Publisher Item Identifier S 0096-3518(96)01645-3.
PY - 1996
Y1 - 1996
N2 - 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 Cramér-Rao and mean-square-angular-error (MSAE) bounds involving one or two three-component geophones.
AB - 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 Cramér-Rao and mean-square-angular-error (MSAE) bounds involving one or two three-component geophones.
UR - https://www.scopus.com/pages/publications/0030081379
U2 - 10.1109/78.485933
DO - 10.1109/78.485933
M3 - Article
AN - SCOPUS:0030081379
SN - 1053-587X
VL - 44
SP - 379
EP - 386
JO - IEEE Transactions on Signal Processing
JF - IEEE Transactions on Signal Processing
IS - 2
ER -