吉首大学学报（自然科学版）2025，Vol.46Issue(3)：30-36,7.DOI:10.13438/j.cnki.jdzk.2025.03.005
基于协方差矩阵对角-非对角比的盲频谱感知算法
Blind Spectrum Sensing Method Based on Covariance Matrix Diagonal-to-Nondiagonal Ratio
摘要
Abstract
Aiming at the limitations of existing covariance matrix-based blind spectrum sensing algo-rithms in insufficient utilization of multi-antenna signal correlation and degraded detection performance under low signal-to-noise ratio(SNR)conditions,this paper proposes a fully blind spectrum sensing algorithm based on covariance diagonal-to-nondiagonal ratio detection(CDNRD).The algorithm con-structs a detection statistic as the ratio of the sum of the non-diagonal elements of the sample covariance matrix to the total energy of the received signals.By jointly utilizing the amplitude and phase information of the signals,it fully exploits the spatial correlation characteristics of multi-antenna signals.Simulation results demonstrate that in scenarios with low SNR(-15 dB)and strong correlation(correlation coeffi-cient ρ=0.9),the detection probability of the CDNRD algorithm significantly outperforms existing methods,including covariance absolute value detection(CAVD),maximum-minimum eigenvalue detec-tion(MMED),gini index detection(GID),and energy detection(ED).Moreover,the algorithm exhibits robustness and stability across varying sample sizes,antenna numbers,and correlation coefficients.关键词
认知无线电/频谱感知/盲检测/样本协方差矩阵/判决门限Key words
cognitive radio/spectrum sensing/blind detection/sample covariance matrix/decision threshold分类
电子信息工程引用本文复制引用
张淞,汪旭明,潘小萍,雷可君,杨喜..基于协方差矩阵对角-非对角比的盲频谱感知算法[J].吉首大学学报（自然科学版）,2025,46(3):30-36,7.基金项目
国家自然科学基金资助项目(62161012) （62161012）
湖南省环保科研项目(HBKT-2022017) （HBKT-2022017）
