Power control algorithm in cognitive radio system based on modified Shuffled Frog Leaping Algorithm

Based on the non-cooperative power control game introduced by David Goodman, in this paper, we will introduce the concept of target SIR, modify the utility function, and propose a modified power control game algorithm. In this proposed power control game algorithm, it will be proved that the Nash equilibrium exists and is unique. To further improve the accuracy of the solution, the Shuffled Frog Leaping Algorithm (SFLA) will be modified and adopted by incorporating the basic ideas of Artificial Fish (AF). It can be shown that the proposed algorithm will have better global convergence and will have less possibility to be tripped in local optimum. Simulation results show that the proposed power control algorithm based on modified Shuffled Frog Leaping Algorithm (MSFLA) can not only increases the controllability on the target SIR but also reduces the user transmission power and improves system performance.