Why Ricker wavelets are successful in processing seismic data: Towards a theoretical explanation
In many engineering applications ranging from engineering seismology to petroleum engineering and civil engineering, processing seismic data plays a key role. In processing seismic data, it turns out to be very efficient to describe the signal's spectrum as a linear combination of Ricker wavelet spectra. ^ In this thesis, we provide a possible theoretical explanation for this empirical efficiency. Specifically, signal propagation through several layers is discussed, and it is shown that the Ricker wavelet is the simplest non-trivial solution for the corresponding data processing problem, under the condition that the described properties of the approximation family are satisfied.^
Gholamy, Afshin, "Why Ricker wavelets are successful in processing seismic data: Towards a theoretical explanation" (2014). ETD Collection for University of Texas, El Paso. AAI1583913.