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基于特征值矩阵的循环平稳检测算法
引用本文:赵春晖,马爽,成宝芝.基于特征值矩阵的循环平稳检测算法[J].深圳大学学报(理工版),2012,29(2):107-112.
作者姓名:赵春晖  马爽  成宝芝
作者单位:哈尔滨工程大学信息与通信工程学院,哈尔滨,150001
基金项目:国家自然科学基金资助项目(61077079)~~
摘    要:分析循环平稳检测算法,发现循环自相关函数向量在循环统计量计算过程中,信号之间的相关信息未得到充分利用,信息有一定的损失.提出基于特征值矩阵的统计量计算方法,用自相向量的协方差矩阵的特征值矩阵替代协方差矩阵.该方法使循环自相关函数中的信息得到充分利用,计算复杂度降低.仿真结果表明,该算法的检测性能在较低信噪比下优于经典的循环平稳检测算法的检测性能.

关 键 词:通信技术  认知无线电  频谱感知  循环平稳特征检测  特征值矩阵

Cyclostationary spectrum sensing algorithm based on eigenvalues matrix
ZHAO Chun-hui , MA Shuang , CHENG Bao-zhi.Cyclostationary spectrum sensing algorithm based on eigenvalues matrix[J].Journal of Shenzhen University(Science &engineering),2012,29(2):107-112.
Authors:ZHAO Chun-hui  MA Shuang  CHENG Bao-zhi
Affiliation:College of Information and Communications Engineering,Harbin Engineering University,Harbin 150001,P.R.China
Abstract:There was a certain amount of loss in the correlation of cyclic autocorrelation function vector with cyclostationary spectrum sensing algorithm when the decision statistics were calculated.The calculation method of cyclic statistics based on eigenvalues matrix was proposed,and therefore,the covariance matrix was replaced by its eigenvalues matrix.The correlation information of the cyclic autocorrelation function was preserved.In addition,the computational complexity was reduced.Simulation results show that the detection performance of the algorithm is better than that of the classical cyclostationary detector at low SNR.
Keywords:communication technology  cognitive radio  spectrum sensing  cyclostationary detection  eigenvalues matrix
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