一种基于偏度和峰度联合检测的频谱感知算法  

Spectrum Sensing Algorithm Based on Joint Detection of Skewness and Kurtosis

作　　者：谭哲雯 雷可君[1] 杨喜[1] 汪旭明 谭宇豪 TAN Zhewen;LEI Kejun;YANG Xi;WANG Xuming;TAN Yuhao(School of Communication and Electronic Engineering,Jishou University,Jishou 416000,Hunan China)

机构地区：[1]吉首大学通信与电子工程学院,湖南吉首416000

出　　处：《吉首大学学报（自然科学版）》2023年第6期14-19,共6页Journal of Jishou University(Natural Sciences Edition)

基　　金：国家自然科学基金资助项目(62161012,61861019);湖南省教育厅科学研究项目(21A0335);国家级大学生创新创业训练项目(202110531029);吉首大学校级科研课题(JDY21071)。

摘　　要：通过对接收信号样本偏度和样本峰度进行归一化处理,设计了一种基于偏度和峰度联合检测的频谱感知算法(联合检测算法).利用卡方分布的概率密度函数分析非渐近条件下算法的理论虚警性能,推导出相应的理论判决门限.仿真实验结果表明,联合检测算法在小样本条件下仍然可以保证可靠的检测结果,并表现出比经典的Jarque-Bera频谱感知算法更优的检测性能.By normalizing the sample skewness and kurtosis of the received signal,a spectrum sensing algorithm based on joint detection of skewness and kurtosis(joint detection)is proposed.Utilizing the probability density function of the chi-square distribution,the theoretical false alarm performance of the algorithm is analyzed under non-asymptotic conditions,and the corresponding theoretical decision threshold is derived.In the simulation experiments,joint detection can still guarantee reliable detection results with small number of samples,and shows better detection performance than the classical Jarque-Bera(JB)spectrum sensing algorithm.

关 键 词：认知无线电 频谱感知 样本偏度 样本峰度 联合检测 

分 类 号：TN91[电子电信—通信与信息系统]