“…In the last seven decades, several papers on deconvolution and wavelet estimation have been published in Geophysics literature. Most often the authors focus on and try to solve problems related to the wavelet phase character (Clarke, 1968;Eisner and Hampson, 1990;Ulrych and Treitel, 1991;Lazear, 1993;Leinbach, 1995;Ursin et al, 1996;Ursin, 1998, 2000;Ursin and Porsani, 2000;Sacchi and Ulrych, 2000;Misra and Sacchi, 2007;Lü and Wang, 2007;van der Baan, 2008;Misra and Chopra, 2010;Ledesma and Porsani, 2013) The Wiener spiking deconvolution filter has been developed and applied for seismic data processing (Robinson, 1957;Robinson and Treitel, 1980;Leinbach, 1995;Yilmaz, 2001), with the assumptions that the reflectivity series have the statistical properties of random white noise and the wavelet is minimum-phase. The ability of this filter to compress the seismic wavelet in time, despite these questionable assumptions, is responsible for the popularity of the Wiener spiking deconvolution technique in the petroleum industry.…”