基于特征值的频谱感知融合算法

doi:10.11959/j.issn.1000-436x.2019201

通信学报 ›› 2019, Vol. 40 ›› Issue (11): 57-64.doi: 10.11959/j.issn.1000-436x.2019201

基于特征值的频谱感知融合算法

赵文静,李贺,金明录

大连理工大学信息与通信工程学院，辽宁大连 116024

修回日期:2019-08-27 出版日期:2019-11-25 发布日期:2019-12-06
作者简介:赵文静（1990- ），女，辽宁朝阳人，大连理工大学博士生，主要研究方向为信号检测、雷达信号处理、认知无线电。|李贺（1983- ），男，辽宁大连人，大连理工大学博士生，主要研究方向为信号处理、频谱感知。|金明录（1958- ），男，朝鲜族，吉林图们人，博士，大连理工大学教授，主要研究方向为信号与通信系统基础理论与技术。
基金资助:
国家自然科学基金资助项目(61701072)

Fusion spectrum sensing algorithm based on eigenvalues

Wenjing ZHAO,He LI,Minglu JIN

School of Information and Communication Engineering,Dalian University of Technology,Dalian 116024,China

Revised:2019-08-27 Online:2019-11-25 Published:2019-12-06
Supported by:
The National Natural Science Foundation of China(61701072)

摘要/Abstract

摘要：

针对目前的频谱资源使用效率低的问题，提出了一种新的基于特征值的频谱感知融合算法，从而更好地实现动态频谱共享。所提算法利用样本协方差矩阵的最大特征值、迹和所有特征值的几何均值构造了检测统计量。通过随机矩阵理论分析了所提算法的检测概率及虚警概率，并得到了理论门限的解析表示。此外，从理论上分析了所提算法中参数的选择问题。仿真实验表明，所提算法比已有的特征值检测算法具有更好的检测性能。

关键词: 频谱感知, 随机矩阵理论, 特征值

Abstract:

Aiming at the problem of inefficient use of spectrum resources,a fusion spectrum sensing algorithm based on eigenvalues was proposed to effectively achieve dynamic spectrum sharing.The test statistics were constructed by employing the maximum eigenvalue,the trace and the geometric mean of all eigenvalues of the sample covariance matrix.The detection probability and false alarm probability of the proposed method were analyzed using the random matrix theory,and the analytical representation of the theoretical threshold was obtained.In addition,the parameter selection of the proposed algorithm was analyzed theoretically.Simulation results show that the proposed algorithm has better detection ability than the existing eigenvalue detection algorithm.

Key words: spectrum sensing, random matrix theory, eigenvalues

中图分类号:

TN914

赵文静,李贺,金明录. 基于特征值的频谱感知融合算法[J]. 通信学报, 2019, 40(11): 57-64.

Wenjing ZHAO,He LI,Minglu JIN. Fusion spectrum sensing algorithm based on eigenvalues[J]. Journal on Communications, 2019, 40(11): 57-64.

图/表 7

图1

表1

MET算法与MEGM算法的虚警概率与门限"

算法	虚警概率	门限
MET	$P_{fa} = 1 - F_{TW} (\frac{γ M N - μ}{ν})$	$γ = (\frac{F_{TW}^{- 1} (1 - P_{fa}) ν + μ}{M N})$
MEGM	$P_{fa} = 1 - F_{TW} (\frac{γ N - μ}{ν})$	$γ = (\frac{F_{TW}^{- 1} (1 - P_{fa}) ν + μ}{N})$

表1

图2

图3

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图6

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基于特征值的频谱感知融合算法

Fusion spectrum sensing algorithm based on eigenvalues

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