利用剩余带宽进行频谱感知的替代检测器
Alternative Detectors for Spectrum Sensing by Exploiting Excess Bandwidth
摘要：
频谱感知的问题进行了研究，通过利用先验和后验的接收噪声方差的信息。首先，传统的平均似然比（ALR）和一般似然比测试（GLRT）检测器下的伽马分布函数作为信道噪声，第一次，在先验统计分布的噪声方差的可用性。然后，提出了两个鲁棒检测器，利用现有的多余带宽提供后验概率的接收噪声方差的不确定性。第一种基于传统ALR的检测器在接收信号的先验和后验条件下采用观测值的边缘分布，第二种基于最大后验概率（MAP）的检测器在与第一种检测器相同的假设条件下采用噪声功率倒数的估计。此外，所提出的检测器的性能的分析表达式得到的虚警和检测概率。仿真结果表明，该检测器优于传统的同行。
英文摘要：
The problems regarding spectrum sensing are studied by exploiting a priori and a posteriori in information of the received noise variance. First, the traditional Average Likelihood Ratio (ALR) and the General Likelihood Ratio Test (GLRT) detectors are investigated under a Gamma distributed function as a channel noise, for the first time, under the availability of a priori statistical distribution about the noise variance. Then, two robust detectors are proposed using the exiting excess bandwidth to deliver a posteriori probability on the received noise variance uncertainty. The first proposed detector that is based on traditional ALR employs marginal distribution of the observation under available a priori and a posteriori of the received signal, while the second proposed detector employs the Maximum a posteriori (MAP) estimation of the inverse of the noise power under the same hypothesizes as the first detector. In addition, analytical expressions for the performance of the proposed detectors are obtained in terms of the false-alarm and detection probabilities. The simulation results exhibit the superiority of the proposed detectors over the traditional counterparts.
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