MIMO systems outage capacity based on minors moments of Wishart matrices

Complex Wishart matrices represent a class of random matrices exploited in a number of wireless communication problems. This paper analyzes the first and second order statistical moments of complex Wishart matrices' minors. This enables to derive new closed-form approximations for the outage capacity of multiple input multiple output (MIMO) systems operating in Rayleigh fading channels at any signal-to-noise ratio (SNR) regime and with any number of inputs and outputs. The derived expressions are compared with bounds known in the literature as well as with simulations. Results show the tightness of the proposed approximations to simulations for a broad range of MIMO settings.