A new pencil criterium for multichannel blind deconvolution in data communication systems

It is well known that blind channel deconvolution enables the receiver to equalize the channel simply by analyzing the received digital signal. Much of the work in 1990s faces the challenge presented by multiple-output systems, exploiting cyclostationarity properties and multivariate formulation of the incoming data. Our proposal is twofold: on one hand, we develop a theoretical analysis of a new blind channel deconvolution scheme by the exploitation of some shifting properties of the autocorrelation matrices of the source, in order to propose an appropriate cost function; on the other hand, an efficient programming is considered based on a generalized Rayleigh quotient formulation by using a conjugate gradient algorithm.