Direct blind deconvolution of multiuser-multichannel systems

This paper addresses the blind deconvolution of multiuser-multichannel systems. First, we find a weaker condition on source signals than the so-called i.i.d. condition so that blind deconvolution is possible. The condition states that the source signals are white and spatially fourth-order uncorrelated. Then, under this condition, we provide a necessary and sufficient condition for blind deconvolution of multiuser-multichannel systems. The result states that blind deconvolution is achieved if and only if the composite output signals are white and spatially fourth-order uncorrelated. Finally, based on this result, we propose two maximization criteria for blind deconvolution of multiuser-multichannel systems. These criteria are simple enough to be implemented by adaptive algorithms