Cognitive Radio Optimal Price Power Control Algorithm Based on Stackelberg Game

This paper uses Stackelberg game theory to introduce interference between cognitive Users (CUs), and solves the power control problem of the optimal price in the cognitive radio (CR) spectrum sharing environment. Considering the cognitive radio system with multiple users and multiple relays. Firstly, the utility function of the CU is given. The CU meets the constraints of the interference power of the primary user (PU) while equalizing the interference factors such as other CUs and relays in the system. After the CU pays a certain price, the CU is allowed to use the spectrum resource of the PU. Secondly, there is a linear relationship between the transmission power pi of the CU and the pricing of the PU. The optimal pricing function of the PU is converted into a function related to the transmission power of the CU, and the optimization problem of the transmission power of the CU is given. This problem is a non-concave problem. The non-concave problem is transformed into a convex problem through variable substitution, and convex optimization is used to find the optimal solution. Finally, Proposed the optimal price algorithm to maximize the goal of PU revenue.The simulation results show that compared with the traditional unified price algorithm, the PU increases the revenue by about 40%, and the CU increases the transmission rate by about 30%.