Paper Info
Title
Dispersion estimation from linear array data in the time-frequency plane
Abstract
We consider the problem of estimating the dispersion of a wave field from data recorded by a linear array of geophones. The fact that the data we are looking at may contain several propagating waves make this even more challenging. In this paper, a new algorithm is proposed to solve this issue. Currently, there are two methods for estimating wave dispersion described in the literature. The first method estimates the group delay function from the time-frequency representation (TFR) of each sensor separately. It is efficient as long as the patterns of the different waves do not overlap in the time-frequency plane. The second method estimates the dispersion from the two-dimensional (2-D) Fourier transform of the profile (or more generally from a velocity-frequency representation). This assumes that the dispersion is constant along the entire sensor array. It is efficient as long as the patterns of the waves do not overlap in the frequency domain. Our method can be thought of as a hybrid of the above two methods as it is based on the construction of a TFR where the energy of waves that propagate at a selected velocity are amplified. The primary advantage of our algorithm is the use of the velocity variable to separate the patterns of the propagating waves in the time-frequency plane. When applied to both synthetic and real data, this new algorithm gives much improved results when compared with other standard methods.
Year
DOI
Venue
2005
10.1109/TSP.2005.855430
IEEE Transactions on Signal Processing - Part I
Keywords
DocType
Volume
entire sensor array,propagating wave,radon transform,linear array,time- frequency representations.,new algorithm,standard method,linear array data,different wave,time-frequency plane,time-frequency representation,wave dispersion,index terms—dispersion,dispersion estimation,fourier transforms,frequency domain,time frequency,time frequency analysis,sensor array,seismometers,fourier transform,time frequency representation,wave propagation,seismic waves
Journal
53
Issue
ISSN
Citations 
10
1053-587X
6
PageRank 
References 
Authors
0.87
8
4
Name
Order
Citations
PageRank
Antoine Roueff1244.61
J.I. Mars216114.94
J. Chanussot330618.20
Pedersen, H.481.40