Min-capacity of a multiple-antenna wireless channel in a static Rician fading environment

We calculate the optimal guaranteed performance for a multiple-antenna wireless link with M antennas at the transmitter and N antennas at the receiver on a Rician fading channel with a static specular component. The channel is modeled with a Rayleigh component and a rank-one deterministic specular component. The Rayleigh component remains constant over a block of T symbol periods, with independent realizations over each block. We analyze the channel under the assumption that the transmitter has no knowledge about the fading coefficients and the receiver has no knowledge about the Rayleigh component but, has complete knowledge about the specular component. Under this scenario to guarantee service it is required to maximize the worst case capacity (min-capacity). Although, it is not necessary for the receiver to have knowledge of the specular component we assume it to show that min-capacity formulation is not pessimistic by showing that min-capacity is equal to avg-capacity when the specular component is constant over time but random with isotropic distribution. This way we show that avg-capacity, which in general has no practical meaning for non-ergodic scenarios, has a coding theorem associated with it in this particular case on account of it being equal to the min-capacity