Analytical test statistic distributions of the MMME eigenvalue-based detector for spectrum sensing
Analytical test statistic distributions of the MMME eigenvalue-based detector for spectrum sensing
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DOI：
10.1109/iswcs.2015.7454393
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发表时间：
2015-08
期刊：
影响因子：
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通讯作者：
Martijn Arts;Andreas Bollig;R. Mathar
中科院分区：
文献类型：
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作者：
Martijn Arts;Andreas Bollig;R. Mathar
我们提出了一个分析推导的概率密度函数（PDF）的最大-减-最小特征值（MMME）检测器的特殊情况下，两个合作的次级用户（SU）在频谱感知的情况。为此，我们采用简单的加性白色高斯噪声（AWGN）模型，其中通常K个协作SU监视无线频谱以确定单个主用户的存在，该主用户发送相移键控（PSK）调制信号。在该模型下，样本协方差矩阵在只有噪声和信号加噪声假设下都是Wishart矩阵。对于K = 2，我们推导出精确的PDF的MMME检测器在这两个假设下的有限数量的样本N。然后，我们比较MMME检测器和最大-最小特征值（MME）检测器的性能，该检测器由文献中的精确PDF辅助。最后，我们分析了噪声功率不确定性容限的MMME检测器下，它表现出上级性能的MME检测器。
We present an analytical derivation of the probability density functions (PDFs) of the maximum-minus-minimum eigenvalue (MMME) detector for the special case of two cooperating secondary users (SUs) in a spectrum sensing scenario. For this we employ a simple additive white Gaussian noise (AWGN) model, where in general K cooperating SUs are monitoring the wireless spectrum to determine the presence of a single primary user, which transmits phase shift keying (PSK) modulated signals. The sample covariance matrix is aWishart matrix under both the noise only and the signal plus noise hypothesis under this model. For K = 2, we derive the exact PDFs for the MMME detector under both hypotheses for a finite number of samples N taken. Then, we compare the performance of the MMME detector and the maximum-minimum eigenvalue (MME) detector aided by exact PDFs available in the literature for this model. Finally, we analyze the noise power uncertainty tolerance margin of the MMME detector under which it shows superior performance to the MME detector.