| Abstract: | A review of the most significant mathematical properties of digital operators and an introduction to their important applications to seismic digital filtering is given. Basic definitions in the time-series field and the principles of digital filtering are introduced starting from the Z-transform domain. Predictive decomposition for stationary stochastic processes and inverse operators are also discussed. Applications of digital filtering to seismic signal concern the predictive deconvolution, characteristics of dispersive and recursive operators, matched filters, and multichannel operators. A brief discussion on frequency, wave number, and velocity filtering phylosophy is given at the end of the paper. |
