Prestack rank‐reducing noise suppression: Theory

Prestack random‐noise suppression is an important but inadequately solved problem in land seismic processing. Two previously described techniques ‐ eigenimage and Cadzow filtering ‐ both use matrix‐rank reduction on constant‐frequency slices. These can be combined into a novel hybrid method with properties from both, forming a general class of noise suppressors that is powerful, versatile, and can be applied in any number of spatial dimensions. These methods can be shown to handle dipping data, irregularly spaced shots, AVO effects, and statics. A companion paper in this conference shows how to apply these techniques to prestack data and gives examples.