Tom Tobback, Philippe Steeghs, Guy G. Drijkoningen, and Jacob T. Fokkema.
Decomposition of seismic signals via time-frequency representations.
Proceedings of the 66th SEG Meeting, 1996.

Abstract: In this paper we discuss the use of a time-frequency representation, 
the Wigner distribution, for the decomposition and characterization 
of seismic signals. The advantage of the Wigner distribution over 
other representations, such as the wavelet and sliding window Fourier 
transform, is its sharp localization properties in the time-frequency 
plane. However, the Wigner distribution is a not a linear transforma-
tion. This non-linearity complicates the use of the Wigner distribu-
tion for time-frequency filtering and decomposition.  
We present an optimization method for the reconstruction of a time 
signal from its Wigner distribution. The reconstruction technique 
enables a decomposition of a signal into its time-frequency components, 
where the reconstructed components are stripped off from the signal
one by one. The method is illustrated a real data example. 
We also demonstrate how the decomposition can be used for suppression 
and enhancement of events in the time-frequency plane.