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The performance analysis of different transmission 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, since the geographically distributed ports experience different smallscale and largescale fading conditions. In this study, extreme value theory is utilised to quantify the ergodic capacity of multiuser diversity (opportunistic scheduling) over shadowed Nakagami (gamma–gamma) fading channels. The distribution of the maximum extreme for a sequence of independent and identically distributed 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.
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