Abstract:

This article proposes a game theoretic solution for power control policy in cognitive radio networks.A power control game algorithm is proposed based on cost function.The uniqueness and existence of the Nash equilibrium is proved for the scheme.Simulation results show that the novel power control algorithm based on game theory will be obtained better convergence compared with traditional algorithm,after about 7 iterations algorithm will converge to an NE and can satisfy the real-time requirement,the novel algorithm can regulate their transmitter powers to meet the different signal to interference ratio（SIR） requirements and the performance of CR system is thereby improved obviously.

Key words: cognitive radio, game theory, power control, SIR, Nash equilibrium