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Application of Matching Pursuit to Spectral Decomposition, Issues and Solutions
- Publisher: European Association of Geoscientists & Engineers
- Source: Conference Proceedings, Petroleum Geoscience Conference & Exhibition 2013, Mar 2013, cp-340-00073
Abstract
Applications of Matching Pursuit signal analysis methods have made significant inroads into use in seismic data analysis. In our review of the geophysical literature we found applications to migration, interpolation, spectral decomposition and others. Our review also indicated three areas where thorough understanding of practice, as it applies to spectral decomposition, is lacking and leads one to ask the following questions: (1) given that Morlet wavelets are commonly used in the analysis, do dictionaries based on them adequately predict synthetic and extracted seismic wavelets? (2) Can the properties of a seismic trace be used to limit the dictionary to a reasonable size? (3) How well do instantaneous phase and frequency attributes predict the Matching Pursuit solutions? This paper seeks to answer these questions.