Energy-Aware Joint Power and Rate Control in Overlay Cognitive Radio Networks: A Nash Bargaining Perspective

We investigate the energy-aware joint power and rate control in the overlay cognitive radio networks, and we expect to achieve the optimal performance tradeoff between individual fairness and network energy efficiency. Therefore, a quality of energy efficiency-based Nash bargaining cooperative game (QoE
²
-NBCG) is formulated with the aid of the newly-built 'energy-per-bit' individual utility function design in this paper. Mathematically, a multi-constrained optimization problem is formulated with Nash product function as the optimization object, which is consisted of the novel individual QoE
²
utility function design. To reduce the implementation complexity, we utilize decomposition technique to decouple this multi-constrained problem. In addition, the existence and uniqueness of the socially optimal NB solutions are validated via theorems.