The asymptotic capacity of opportunistic scheduling over shadowed Nakagami fading channels

The performance analysis of different diversity schemes in emerging wireless communication systems such as outdoor distributed antenna architectures and relay networks requires the adoption of joint multipath fading and shadowing channel models. In this paper, extreme value theory is utilized to quantify the ergodic capacity of multiuser diversity (opportunistic scheduling) over shadowed Nakagami fading (gamma-gamma) channels. The distribution of the maximum extreme for a sequence of independent gamma-gamma random variables is shown to belong to the domain of attraction of the Gumbel distribution and subsequently the effect of independent shadowing on the ergodic capacity of opportunistic scheduling for large number of users is revealed.