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The ergodic capacity of underlay cognitive (secondary) dual-hop relayingsystems is analytically investigated. Specifically, the amplify-and-forwardtransmission protocol is considered, while the received signals undergomultipath fading and shadowing with non-identical statistics. To efficientlydescribe this composite type of fading, the well-known generalized-$K$ fadingmodel is used. New analytical expressions and quite accurate closed-formapproximations regarding the ergodic capacity of the end-to-end communicationare obtained, in terms of finite sum series of the Meijer's-$G$ function. Theanalytical results are verified with the aid of computer simulations, whileuseful insights are revealed.

On the Ergodic Capacity of Underlay Cognitive Dual-Hop AF Relayed Systems under Non-Identical Generalized-K Fading Channels