Title :
Blind seismic deconvolution of single channel using instantaneous independent component analysis
Author :
AL-QAISI, AWS ; Woo, W.L. ; Dlay, S.S.
Author_Institution :
Sch. of Electr., Newcastle Univ., Newcastle upon Tyne
Abstract :
This paper provides a new statistical approach to solve blind seismic deconvolution problem for a single channel using independent component analysis (ICA). Our technique consists of three steps. Firstly, a transformation method that maps the seismic trace convolution model for a single channel into multiple input multiple output (MIMO) instantaneous ICA model using zero padding matrices. 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. Simulated experiments indicate our new algorithm outperforms the conventional independent component analysis (ICA) algorithm. The mean square error (MSE) is used to measure the efficiency of the proposed algorithm.
Keywords :
MIMO communication; deconvolution; independent component analysis; mean square error methods; optimisation; MIMO model; blind seismic deconvolution; independent component analysis; information maximization; logistic function; mean square error; mixing matrix sparsity; multiple input multiple output model; reflectivity sequence distribution; seismic trace convolution; single channel; zero padding matrices; Convolution; Deconvolution; Discrete wavelet transforms; Earth; Equations; Gaussian processes; Independent component analysis; MIMO; Reflectivity; Sparse matrices;
Conference_Titel :
Communication Systems, Networks and Digital Signal Processing, 2008. CNSDSP 2008. 6th International Symposium on
Conference_Location :
Graz
Print_ISBN :
978-1-4244-1875-6
Electronic_ISBN :
978-1-4244-1876-3
DOI :
10.1109/CSNDSP.2008.4610748