This paper considers a device-to-device (D2D) underlaid cellular network
where an uplink cellular user communicates with the base station while multiple
direct D2D links share the uplink spectrum. This paper proposes a random
network model based on stochastic geometry and develops centralized and
distributed power control algorithms. The goal of the proposed power control
algorithms is two-fold: ensure the cellular users have sufficient coverage
probability by limiting the interference created by underlaid D2D users, while
also attempting to support as many D2D links as possible. For the distributed
power control method, expressions for the coverage probabilities of cellular
and D2D links are derived and a lower bound on the sum rate of the D2D links is
provided. The analysis reveals the impact of key system parameters on the
network performance. For example, the bottleneck of D2D underlaid cellular
networks is the cross-tier interference between D2D links and the cellular
user, not the D2D intra-tier interference. Numerical results show the gains of
the proposed power control algorithms and accuracy of the analysis.

本文提出了基于随机几何的随机网络模型，开发了集中式和分布式功率控制算法，以确保蜂窝用户具有足够的覆盖概率，并尝试支持尽可能多的 D2D 链接，同时限制 D2D 用户产生的干扰。数值结果显示了所提出的功率控制算法的增益和分析结果的准确性。