Two-way relaying in interference-limited AF cooperative networks over nakagami-m fading

The performance of dual-hop amplify-and-forward (AF) two-way relaying systems with multiple cochannel interferers at the AF relay and two noisy end-sources is investigated. Assuming a Nakagami- $m$ fading environment, closed-form approximate expressions for the outage probability, average error probability, and achievable sum rate are derived, yielding results which, in practice, are indistinguishable from the exact analysis. In addition, the derived approximate expressions are evaluated instantaneously, regardless of the number of interferers, highly contrasting with the intricacy and computational inefficiency inherent to the exact formulations, which requires the evaluation of nested multiple integrals, i.e., a problem that becomes computationally intractable as the number of interferers increases. Our analysis allows for general operating scenarios with distinct integer-value Nakagami-$m$ fading parameters and unequal average fading power values between the hops. Monte Carlo simulation results are presented to corroborate the tightness of the proposed approximations.