A novel chaos based cost function for power control of cognitive radio networks

The game theoretic approach has been recently considered as potential solutions for power control in cognitive radio network (CRNs). It is well known that a critical issue in applying game theory is the selection of its proper cost function. In this letter, we introduce a new chaos based cost function to design power control algorithm and analyse the dynamic spectrum sharing issue in the uplink of cellular CRNs. Particularly, for secondary users as the game players in underlay scenarios, we define utility/cost functions taking into account the interference from and the interference tolerance of the primary users. We prove the existence of the Nash equilibrium in this power control game, leading to significantly lower power consumption and relatively fast convergence rate when compared to the other existing game algorithms