Abstract
Device-to-device (D2D) multicast transmission is an important feature for group-oriented applications. In this paper, we propose a joint channel allocation and power control scheme for the D2D multicast underlay communications. In single-rate multicast, the achieved data rate is determined by the weakest link. Therefore, we formulate this MINLP problem as a maximin optimization problem to guarantee fairness of different multicast groups. Each D2D group can reuse the channel of all cellular users. In order to limit the impact of D2D communications on cellular users' quality of service (QoS), we define an SINR threshold value for the cellular users. The non-linear Perron-Frobenius theory is used to derive a deterministic algorithm for solving the non-convex non-linear fair power control problem. A novel-genetic-algorithm- aided efficient scheme is then proposed to solve the combinatory issue of the joint channel allocation and power control. The proposed scheme is evaluated by using extensive simulations. Numerical results highlight the performance of our approach in terms of sum rate fairness.