一种新型的能量检测方法及性能分析

Novel Energy Detection Method and Detection Performance Analysis

针对当前小样本情况下的能量检测(Energy Detection,ED)方法只对AWGN(Additive White Gaussian Noise)非衰落信道上的检测性能进行了近似分析的不足,利用广义Marcum Q函数的最新研究成果对小样本条件下的ED方法进行研究,推导出在瑞利衰落信道下易处理的、精确的ED检测概率闭式解表达式,并对其检测性能进行了分析。理论分析和仿真结果表明,与目前采用中心极限定理(Central Limit Theorem,CLT)、多维高斯(Cube-of-Gaussian,CoG)近似法及其他近似法分析ED检测性能相比,所提方法在小样本情况下具有更稳定、更精确的检测性能。

In order to overcome the disadvantage that the existing small sample size-based energy detection（ED）methods only obtain the approximations of detection performance of ED in AWGN（Additive White Gaussian Noise）,a more tractable and more accurate closed-form expression for detection probability of ED in Rayleigh fading channel was derived and its performance was analyzed by exploiting the latest research result of generalized Marcum Q-function in this paper.Both theoretical analysis and simulation results show that compared with the approximate analysis of ED detection performance such as the CLT（Central Limit Theorem）-based approach,the CoG（Cube-of-Gaussian）-based method and other approximations,the proposed scheme has more robust and accurate detection performance.