Unified Ergodic Capacity Expressions for AF Dual-Hop Systems With Hardware Impairments

This letter presents novel analytical expressions for the ergodic capacity (EC) of dual-hop amplify-and-forward (AF) relaying systems subject to hardware impairments operating over generalized fading channels. Our expressions are quite generic, providing that the moment-generating function (MGF) of the signal-to-noise ratio (SNR) or the MGF of the inverse SNR of each hop is readily available. The proposed analytical framework is further applied to assess the EC performance of two system setups: 1) a variable-gain relaying system equipped with multiple antennas at the relay and at the destination, assuming an interference-limited relay and a noise-limited destination and 2) a multi-source multi-destination AF system equipped with variable- or fixed-gain relays. The correctness of the proposed mathematical analysis is verified by Monte Carlo simulations results.

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