Eigenstructure based blind channel order determination and kernel estimation for MIMO systems

The problem of blind identification of a linear system is widely noticed by many researchers in diverse fields, including speech processing, image reconstruction and data communication. Many existing blind channel identification algorithms require accurate estimates of the channel order. This problem has been studied for single input single output (SISO) as well as single input multiple output (SIMO) systems and several algorithms have been developed. Linear multiple input multiple output (MIMO) systems are considered in this paper. A novel algorithm based on subspace projections is proposed for the determination of all different orders, the number of subsystems and the kernels up to an ambiguity of post multiplication with an invertible matrix.