Sparsity exploitation of mixing matrix and reflectivity sequence for ICA-blind seismic deconvolution

Aws Al-Qaisi*, W. L. Woo, S. S. Dlay

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Citation (Scopus)

Abstract

This paper provides a new statistical approach to blind recovery of both earth signal and source wavelet given only the seismic traces using independent component analysis (ICA) by explicitly exploiting the sparsity of both the reflectivity sequence and the mixing matrix. Our proposed algorithm consists of three steps. Firstly, a transformation method that maps the seismic trace convolution model into multiple inputs multiple output (MIMO) instantaneous ICA model using zero padding matrices has been proposed. As a result the nonzero elements of the sparse mixing matrix contain the source wavelet. Secondly, whitening the observed seismic trace by incorporating the zero padding matrixes is conducted as a pre-processing step to exploit the sparsity of the mixing matrix. Finally, a novel logistic function that matches the sparsity of reflectivity sequence distribution has been proposed and fitted into the information maximization algorithm to obtain the demixing matrix. Experimental simulations have been accomplished to verify the proposed algorithm performance over conventional ICA algorithms. The mean square error (MSE) of estimated wavelet and estimated reflectivity sequence shows the improvement of proposed algorithm.

Original languageEnglish
Title of host publication2008 3rd International Conference on Information and Communication Technologis
Subtitle of host publicationFrom Theory to Applications, ICTTA
PublisherIEEE
ISBN (Electronic)9781424417520
ISBN (Print)9781424417513
DOIs
Publication statusPublished - 23 May 2008
Event2008 3rd International Conference on Information and Communication Technologies: From Theory to Applications, ICTTA - Damascus, Syrian Arab Republic
Duration: 7 Apr 200811 Apr 2008

Conference

Conference2008 3rd International Conference on Information and Communication Technologies: From Theory to Applications, ICTTA
CountrySyrian Arab Republic
CityDamascus
Period7/04/0811/04/08

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