Robust Prediction Filtering Using the Pyramid Transform

Abstract

D030 ROBUST PREDICTION FILTERING USING THE PYRAMID TRANSFORM Abstract 1 The pyramid transform is a resampling of data in the f-x-y domain (Fourier transform over time but not over space) that gives rise to frequency dependent spatial grids with a relationship that the sampling interval is inversely proportional to the frequency. Such transformation is reversible for wave-fields. F-x-y prediction filters in the pyramid domain are frequency independent. We demonstrate with synthetic and field data examples of noise reduction and trace interpolation that prediction filters estimated in the pyramid domain are more robust against noise and conflicting dips than the ones