A Frequency Domain Approach to Eigenvalue-Based Detection With Diversity Reception and Spectrum Estimation
A Frequency Domain Approach to Eigenvalue-Based Detection With Diversity Reception and Spectrum Estimation
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DOI：
10.1109/tsp.2015.2474309
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发表时间：
2016
影响因子：
5.4
通讯作者：
E. G. Yousif;T. Ratnarajah;M. Sellathurai
中科院分区：
文献类型：
--
作者：
E. G. Yousif;T. Ratnarajah;M. Sellathurai
研究了一种基于等增益合并(EGC)和谱估计的基于Bartlett方法的基于特征值的主用户检测频域方法。本文讨论了两种特征值检测技术，即最大特征值检测(MED)和最大-最小特征值(MME)检测器。我们利用与Bartlett估计的厄米特形式表示相关联的特征值来评估上述特征值技术在频域中的性能。对于每种情况，我们基于瑞利衰落和莱斯衰落下的虚警和漏检概率来量化性能。采用二元Mellin变换方法，得到了各假设下极值特征值之比的概率分布函数。所有得到的公式都通过蒙特卡罗模拟进行了验证，结果清楚地揭示了所研究方法的性能。在频域上，即使在噪声不确定的最坏情况下，MED的性能也优于MME检测器和基于周期图的能量检测，而MME检测器表现出重尾统计特性，因此其接收器操作特性倾向于保持在无区分线上。通过仔细选择感测帧的总长度和子时隙数目的组合，进一步提高了MED的性能。
In this paper, we investigate a frequency domain approach for eigenvalue-based detection of a primary user, based on equal gain combining (EGC) and spectrum estimation with Bartlett's method. This paper considers two techniques for eigenvalue detection which are Maximum Eigenvalue Detection (MED) and the Maximum-Minimum Eigenvalue (MME) detector. We exploit the eigenvalues that are associated with the Hermitian form representation of Bartlett's estimate to assess the performance of the aforementioned eigenvalue techniques in the frequency domain. For each case, we quantify the performance based on the probabilities of false alarm and missed detection over Rayleigh and Rician fading. A bivariate Mellin transform approach is employed to obtain the probability distribution function for the ratio of the extreme eigenvalues under each hypothesis. All obtained formulas are validated via Monte-Carlo simulations, and the results give a clear insight into the performance of the investigated methods. In frequency domain, MED outperforms both the MME detector and Periodogram-based energy detection even in a worst case scenario of noise uncertainty, while the MME detector exhibits heavy-tailed statistical characteristics and thus its receiver operating characteristics tend to stay on the line of no-discrimination. The performance of MED is further enhanced by careful choice of combinations of the total length of the sensing frame and number of sub-slots.