Attenuation of Seismic Noise by Sparse Code Shrinkage

Attenuation of random noise has been extensively covered by f-x predictive deconvolution, median filtering and decomposition into principal components. We suggest instead using sparse code shrinkage and we propose a method to obtain the necessary noise-free realization of the data. This realization, that is in fact noise-attenuated and that aims at having the same statistical properties as the seismic signal, allows us to derive shrinkage functions based on the noise-free sparse code statistics, i.e., that are specifically designed for the input data. This method, which is tested on both synthetic and real marine data, turns out to be efficient and promising in random noise attenuation.