A new inverse filter criterion for blind deconvolution of spiky signals using Gaussian mixtures

This paper presents a new Bussgang-type technique for blind deconvolution of spiky signals. Based on a Gaussian mixture model for the spiky signal, the method obtains a deconvolution filter and a zero-memory nonlinearity to estimate the signal. A new updating procedure for the mixture parameters (and, therefore, for the nonlinear estimator) is included in the algorithm: it allows to apply the algorithm without any prior knowledge about the signal and noise. A simulation example illustrates the performance of the proposed method