宽带能量检测性能及噪声不确定度约束下的观测时长分析

Analysis of Observation Time for Broadband-based Energy Detection with Performance Constraints and Noise Uncertainty

该文针对基于最小错判概率准则对宽带采样信号进行判决的情况,讨论了检测概率、虚警概率与观测时长的置换关系,得到了在采用上述判决门限条件下,达到规定的检测概率和虚警概率所需要的最小观测时长的闭式表达式。此外,该文还讨论了噪声不确定性对检测性能约束条件下的最小观测时长的影响,得到了在噪声峰值不确定度给定情况下的最小观测时长表达式。数值仿真结果验证了该文结论的正确性。

This paper discusses about the trade-off between detection probability, false alarm probability and observation period for the broadband spectrum energy detection. By utilizing the threshold based on the minimum-error-rate criterion, the closed-form expression of the minimum watching time for the detection is derived, which can make the detection satisfy the performance constraints. Besides, the effect of noise uncertainty is also considered in the detection and the expression of watching period with peak noise uncertainty is provided. All conclusions are verified by the numerical simulations.