Outage Probability of Dual-Hop Selective AF With Randomly Distributed and Fixed Interferers

TL;DR

This paper analyzes the outage probability of dual-hop AF relaying systems with relay selection under Nakagami-m fading, considering both random and fixed interferers, providing new analytical expressions and insights into interference effects.

Contribution

It derives new analytical outage probability expressions for systems with random and fixed interferers, including bounds and asymptotic behaviors, under Nakagami-m fading.

Findings

Interference location and number significantly affect outage probability.

Derived closed-form bounds and asymptotic expressions for high SIR.

Numerical results validate analysis accuracy and interference impact.

Abstract

The outage probability performance of a dual-hop amplify-and-forward selective relaying system with global relay selection is analyzed for Nakagami-$m$ fading channels in the presence of multiple interferers at both the relays and the destination. Two different cases are considered. In the first case, the interferers are assumed to have random number and locations. Outage probability using the generalized Gamma approximation (GGA) in the form of one-dimensional integral is derived. In the second case, the interferers are assumed to have fixed number and locations. Exact outage probability in the form of one-dimensional integral is derived. For both cases, closed-form expressions of lower bounds and asymptotic expressions for high signal-to-interference-plus-noise ratio are also provided. Simplified closed-form expressions of outage probability for special cases (e.g., dominant interferences, i.i.d. interferers, Rayleigh distributed signals) are studied. Numerical results are presented to show the accuracy of our analysis by examining the effects of the number and locations of interferers on the outage performances of both AF systems with random and fixed interferers.