The Wigner-Radon representation for seismic data analysis 

P. Steeghs

         		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 nonsta-
tionary 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.