Deconvolution of seismic data using adaptive Gaussian mixtures

Based on a Gaussian mixture model for the reflectivity sequence, we present a new technique for blind deconvolution of seismic data. The method obtains a deconvolution filter that maximizes at its output a measure of the relative entropy between the proposed Gaussian mixture and a pure Gaussian distribution. A new updating procedure for the mixture parameters is included in the algorithm: it allows us to apply the algorithm without any prior knowledge about the signal and noise. A simulation example illustrates the performance of the proposed method.