自适应能量检测器及在失配信号检测中的应用(英文)

Adaptive Energy Detector and Its Application for Mismatched Signal Detection

自适应能量检测器(AED)是一种信号导向矢量完全未知时有效的检测器,最早根据广义似然比(GLRT)准则得到。该文首先分析了AED一些重要特性。指出AED与根据Rao准则和Wald准则得到的检测器相同,并得到了其精确的统计分布,根据该统计分布进而较容易地推导出AED解析的检测概率(PD)和虚警概率(PFA)。其次利用AED设计了一种信号失配情形下的参数可调检测器。与现有的参数可调检测器相比,新检测器对失配信号的检测具有更好的灵活度。此外,对于匹配信号,新检测器具有更高的检测概率。该可调检测器的这些功能通过调节两个标量参数实现,两个参数被称为可调参数。

We investigate several important properties of an Adaptive Energy Detector （AED）, which is origin-ally proposed according to the Generalized Likelihood Ratio Test （GLRT）, under the assumption that the sig-nal steering vector is completely unknown. We show that the AED coincides with the Rao and Wald tests. We also give the exact statistical distribution, according to which one can easily derive the Probabilities of Detec-tion （PD） and False Alarm （PFA）, and we use the AED to design a parametrically tunable signal-mismatch de-tector. Compared to existing tunable detectors, the novel tunable detector is more flexible in governing the re-jection of the mismatched signal; moreover, for the matched signal, the tunable detector can provide a higher PD than existing detectors. Two scalars, called the tunable parameters, control this functionality.