Energy Efficiency and Spectral Efficiency Tradeoff in Device-to-Device   (D2D) Communications
  In this letter, we investigate the tradeoff between energy efficiency (EE) and spectral efficiency (SE) in device-to-device (D2D) communications underlaying cellular networks with uplink channel reuse. The resource allocation problem is modeled as a noncooperative game, in which each user equipment (UE) is self-interested and wants to maximize its own EE. Given the SE requirement and maximum transmission power constraints, a distributed energy-efficient resource allocation algorithm is proposed by exploiting the properties of the nonlinear fractional programming. The relationships between the EE and SE tradeoff of the proposed algorithm and system parameters are analyzed and verified through computer simulations. 
Zhenyu Zhou, Mianxiong Dong, Kaoru Ota, Jun Wu, and Takuro Sato
cs.GT cs.IT math.IT