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.
|Title of host publication||Proceedings of the 6th International Symposium Communication Systems, Networks and Digital Signal Processing, CSNDSP 08|
|Number of pages||5|
|Publication status||Published - 29 Aug 2008|
|Event||6th International Symposium Communication Systems, Networks and Digital Signal Processing, CSNDSP 08 - Graz, Austria|
Duration: 23 Jul 2008 → 25 Jul 2008
|Conference||6th International Symposium Communication Systems, Networks and Digital Signal Processing, CSNDSP 08|
|Period||23/07/08 → 25/07/08|