The Jacobi MIMO channel: Achieving the no-outage promise

Abstract

In the Jacobi fading model H, the transfer matrix which couples the mt inputs into mr outputs, is a sub-matrix of an m × m random (Haar-distributed) unitary matrix. The (squared) singular values of H follow the law of the classical Jacobi ensemble of random matrices. In the case where the model parameters satisfy k = mt + mr - m >; 0, at least k singular values are guaranteed not to fade for any channel realization, enabling an achievable zero outage probability at the corresponding rates. A simple scheme utilizing (a possibly outdated) channel state feedback is provided, attaining the no-outage promise.