A novel non-cooperative power control game for cognitive radio networks

In this paper, we propose a power control algorithm using game theory for cognitive radio networks. A novel framework is presented to meet different SIR constrains which can guarantee the cognitive radio user's QoS requirement. We define a cost function which can effectively control the network power consumption. With the given cost function, the second user can achieve a better performance related to the SIR. Furthermore, the proposed algorithm needs much less interactive times to achieve convergence, so as to accommodate dynamic cognitive radio networks. The algorithm is proved to be convergent to a uniqueness Nash equilibrium. The simulations show that the proposed algorithm can meet different user's QoS requirements, and achieve better performance.