Cooperative spectrum sensing and analysis of the optimum users number based on the primary user transmission with relay

In the paper, we combine the detection model that primary users with the help of relay with multiple secondary users to perform cooperative spectrum sensing. We consider the influence of some parameters to make the overhead more efficient, and analyze the relay amplification gain can efficiently alleviate the performance loss caused by report channel fading. Moreover, we verify the existence of the optimal number of cooperative users, and explore the influences of the amplification gain and reporting error probability on the optimal number of users. The simulations show that the detection performance of our scheme is improved greatly compared to traditional scheme, and theoretical analysis matches well with simulation, which verifies the correctness of the theoretical analysis. Additionally, the optimal number of users is inversely proportional to the reporting error probability, and it is proportional to the relay amplification gain. In the case of the specific report channels, to achieve the maximum detection probability based on the desired probability of false alarm, the appropriate parameters should be identified, such as the relay amplification gain and the optimum number of cooperative users.