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Irregular sampling: from aliasing to noise

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Title: Irregular sampling: from aliasing to noise
Author: Hennenfent, Gilles; Herrmann, Felix J.
Subject Keywords irregular sampling;aliasing;interpolation;noise;Curvelet Recovery;Sparsity-Promoting Inversion;ground roll
Issue Date: 2007
Publicly Available in cIRcle 2008-03-08
Publisher European Association of Geoscientists & Engineers
Citation: Hennenfent, Gilles, Herrmann, Felix J. 2007. Irregular sampling: from aliasing to noise. EAGE 69th Conference & Exhibition.
Abstract: 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
Affiliation: Science, Faculty ofEarth and Ocean Sciences, Department of
URI: http://hdl.handle.net/2429/546
Peer Review Status: Unreviewed
Scholarly Level: Graduate

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