Abstract: In order to improve the reliability of cognitive radio spectrum sensing system,we propose the cooperative spectrum sensing method with p-th power detector.It is proposed in condition of using Rayleigh sensing channel and the reported channel with a fixed error rate.Considering the sampling signals on a single antenna and OR fusion rule,we joint optimize the p-th power of p-th power detector and best sensing threshold λ to make the total error rate minimum.Theoretical analysis and simulation results show that there is the best p and sensing threshold λ to satisfy the minimum total error rate.Meanwhile, when the number of sampling signal is larger and larger,p-th power is larger and larger and a upper bound,and sensing threshold λ is smaller and smaller and a lower bound