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本文考虑了主用户的状态转移概率，并引入最大漏检概率限制条件，将频谱利用率与检测持续时间的权衡问题转化为优化问题，进而求出了满足无冲突时间最短且频谱利用率最大的最优检测持续时间的闭式表达式。通过仿真可以得到，存在一个最优的检测持续时间，使得频谱利用率达到最大。“,”In this paper,the state transition probability of primary user is considered,and the maximum miss detection probability constraint is introduced,then we turn the tradeoff between spectrum utilization and sensing duration into an optimization problem to obtain the optimal sensing duration,further,an expression of the optimal sensing duration is obtained under the constraint of maximum miss detection probability.It can be obtained from the simulation results that there exits an optimal sensing duration to maximize the spectrum utilization.