A novel distributed power control based on game theory in cognitive wireless network

To make full use of the spectrum resources with the coexistence of primary users (PUs) and secondary users (SUs) in cognitive radio networks (CRNs), we jointly consider the signal-to-interference-plus-noise ratio (SINR) and the transmission power of SUs to build a relevant interference model in this paper. Based on non-cooperative game theory, we propose a novel power control algorithm with a new utility function to adjust the transmission power of SUs, with which each SU can choose an optimal transmission power for its best utility selfishly. We prove its convergence and the existence and uniqueness of the Nash equilibrium. Simulation results show that our proposed algorithm not only satisfies the SINR condition, but also enables SUs to have proper transmission power levels. In addition, our proposed algorithm, compared with classical algorithms, has better anti-noise effect and capacity performance.