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.