Irregular sampling: from aliasing to noise

TitleIrregular sampling: from aliasing to noise
Publication TypeConference
Year of Publication2007
AuthorsGilles Hennenfent, Felix J. Herrmann
Conference NameEAGE Annual Conference Proceedings
KeywordsEAGE, Presentation, SLIM

Seismic data is often irregularly and/or sparsely sampled along spatial coordinates. We show that these acquisition geometries are not necessarily a source of adversity in order to accurately reconstruct adequately-sampled data. We use two examples to illustrate that it may actually be better than equivalent regularly subsampled data. This comment was already made in earlier works by other authors. We explain this behavior by two key observations. Firstly, a noise-free underdetermined problem can be seen as a noisy well-determined problem. Secondly, regularly subsampling creates strong coherent acquisition noise (aliasing) difficult to remove unlike the noise created by irregularly subsampling that is typically weaker and Gaussian-like.

Citation Keyhennenfent2007EAGEisf