Blind deconvolution of multivariate signals: A deflation approach

Abstract

It is well established that the blind deconvolution problem makes sense as soon as y (or, equivalently, w) is non Gaussian. A previously adaptive blind deconvolution problem is discussed in the case where the observation y is a p-variate signal given by a particular function where the impulse responses (h/sub k/)/sub k/ /sub =/ /sub 1,p/ are unknown p /spl times/ 1 transfer functions, and where the excitations (w/sub k/)/sub k/ /sub =/ /sub 1,p/ to be reconstructed are statistically independent non-Gaussian centered i.i.d. sequences of variance 1.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>