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Outage Probability of Device to Device Communications Underlaying Cellular Network in Suzuki Fading Channel

Radio resource allocation in device-to-device (D2D) communications can be optimized by minimizing outage probability or maximizing throughput. In this letter, we derive two closed-form expressions for the outage probability of underlay D2D communications, by considering an additive white Gaussian noise, and large-scale and small-scale fading components. We jointly model small and large scale fading components by the Suzuki distribution and derive non-analytic integrals for the outage probability, which can be solved by Gauss–Laguerre quadrature and Gauss–Legendre quadrature numerical methods. We show that these formulas for the outage probability closely approach the simulation results. Our comparative study further shows that a low-complexity approximation belongs to the three-point Gauss–Legendre-based formula. Finally, random-based and Hungarian-based resource allocations are investigated.