湖南大学学报（自然科学版）2023，Vol.50Issue(12)：76-85,10.DOI:10.16339/j.cnki.hdxbzkb.2023300
一种基于极值特征值之差的全盲多天线频谱感知算法
A Total Blind Multi-antenna Spectrum Sensing Algorithm Based on Difference of Extreme Eigenvalues
摘要
Abstract
A new BDDEE(Blind Detector based on Difference of Extreme Eigenvalues)multi-antenna spectrum sensing algorithm based on the difference between the extreme eigenvalues of the received signal sample covariance matrix(SCM)is proposed.It uses the ratio of the difference between the maximum and minimum eigenvalues of the SCM and the average energy of the received signal as the sensing decision.The proposed BDDEE algorithm breaks away from the dependence on the noise variance in the detection process and does not need to use the relevant parameters such as the primary user signal and the wireless transmission channel.On this basis,using the results of the ordered eigenvalue distribution of the finite-dimensional Wishart random matrix,an accurate analysis and calculation method for false-alarm probability and decision threshold is proposed theoretically.Furthermore,considering the limitation of computing and storage resources of secondary users,a decision threshold calculation method with low computational complexity is proposed by combining the decision threshold corresponding to the maximum and minimum eigenvalue limiting distribution by using the distribution theory of limiting eigenvalues in the high-dimensional Wishart random matrix.From the comprehensive consideration of detection performance and false-alarm performance,the proposed BDDEE algorithm has better sensing performance than the traditional CAV(Covariance Absolute Value),MME(Maximum Minimum Eigenvalue)and DMME(Difference between the Maximum and the Minimum Eigenvalues)algorithms,and can obtain more robust detection results under the condition of limited sample number,which is verified by the various numerical simulation results.关键词
认知无线电/频谱感知/极值特征值/随机矩阵/Tracy-Widom分布Key words
cognitive radio/spectrum sensing/extreme eigenvalues/random matrix/Tracy-Widom distribution分类
信息技术与安全科学引用本文复制引用
雷可君,杨喜,向长青,汪旭明,田堃,谭哲雯,夏舜晖..一种基于极值特征值之差的全盲多天线频谱感知算法[J].湖南大学学报（自然科学版）,2023,50(12):76-85,10.基金项目
国家自然科学基金资助项目(62161012,61861019,62141503),National Natural Science Foundation of China(62161012,61861019,62141503) （62161012,61861019,62141503）
湖南省教厅科学研究项目(21A0335,21C1410),Scientific Research Project of Department of Education of Hunan Province(21A0335,21C1410) （21A0335,21C1410）
国家级大学生创新创业训练项目(202110531029),National Innovation and Entrepreneurship Training Program for College Students(202110531029) （202110531029）
