Title :
Wigner-Radon representations for 3-D seismic data analysis
Author :
Steeghs, Philippe
Author_Institution :
Dept. of Electr. & Comput. Eng., Rice Univ., Houston, TX, USA
Abstract :
In this paper a local Radon representation is proposed and applied to 3-D seismic data analysis. The derivation of the local Radon power spectrum is based on an extension of the relation between the global Radon transform and multi-dimensional Fourier transform to the non-stationary case. This Wigner-Radon power spectrum is closely related to the Cohen´s class of quadratic time-frequency representations. The local Radon power spectrum is very well suited to characterize the geometry of seismic reflection surfaces. The normalized first moment of the Wigner-Radon representation can be used as a measure for the dip angle of the 3-D signal. Analysis of this geometrical information greatly facilitates the geological interpretation of the data
Keywords :
Fourier transforms; Radon transforms; Wigner distribution; geophysical signal processing; multidimensional signal processing; seismology; signal representation; spectral analysis; time-frequency analysis; 3-D seismic data analysis; 3-D signal; Cohen´s class; Wigner-Radon representation; Wigner-Radon representations; dip angle; geometrical information; global Radon transform; local Radon representation; multi-dimensional Fourier transform; nonstationary case; power spectrum; quadratic time-frequency representations; seismic reflection surfaces; Data analysis; Fourier transforms; Frequency; Geologic measurements; Geology; Geometry; Microwave integrated circuits; Power engineering computing; Reflection; Seismic measurements;
Conference_Titel :
Time-Frequency and Time-Scale Analysis, 1998. Proceedings of the IEEE-SP International Symposium on
Conference_Location :
Pittsburgh, PA
Print_ISBN :
0-7803-5073-1
DOI :
10.1109/TFSA.1998.721454
