Characteristics of $p$-Norm Signal Detection in Gaussian Mixture Noise
Characteristics of $p$-Norm Signal Detection in Gaussian Mixture Noise
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DOI：
10.1109/tvt.2017.2762244
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发表时间：
2018-04
影响因子：
6.8
通讯作者：
Vladimir V. Kostylev;I. Gres
中科院分区：
文献类型：
--
作者：
Vladimir V. Kostylev;I. Gres
最近分析了p$-范数检测器在加性白色高斯噪声中的性能，得到了几个解析解。我们已经开发了这些解决方案的情况下，非高斯噪声。利用矩母函数的分析方法，得到了任意p次幂指数下虚警概率P_{F}$和检测概率P_{D}$的级数表达式。在Nakagami-$m$，$k- {\mu} $和$\eta - {\mu} $衰落信道的非高斯环境下，推导了平均检测概率$\overline {{P_D}} $的级数表达式。分析了最近提出的用于天线分集接收的p律选择和p律合并方案.比较了p范数检测器与传统能量检测器和最优检测器的检测性能。所有的分析结果进行了验证与统计模拟。
Performance of the $p$-norm detector has been analyzed recently in additive white Gaussian noise and several analytical solutions were obtained. We have developed these solutions for the case of non-Gaussian noise. Expressions for the false alarm probability $P_{F}$ and the detection probability $P_{D}$ were found in series-form for an arbitrary index of power $p$ using an analysis based on the moment generating function. Series-form expressions for the average detection probability $\overline {{P_D}} $ in the non-Gaussian environment for Nakagami-$m$, $k- {\mu} $, and $\eta - {\mu} $ fading channels were derived as well. Recently proposed $p$-law selection and $p$-law combining schemes for antenna diversity reception were analyzed. The detection characteristics of a $p$-norm detector were compared with a traditional energy detector and with an optimal detector. All analytical results were verified with a statistic simulation.