Wigner-Radon representations for 3-D seismic data analysis

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