In this work, a separating function estimation test (SFET) based detector is proposed for the problem of impropriety test of complex signals. With the establishment of closed-form expressions concerning the first two raw moments of the proposed test statistic, we can obtain the analytic form for the probability of false alarm (PFA) based on moment-matching method. Moreover, the threshold can be further obtained for a given user-specified PFA. Numerical examples are provided to verify our theoretical results and demonstrate the performance gain of our proposed detector.

中文翻译：

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复杂信号不当分离函数估计测试的性能分析


在这项工作中，针对复杂信号的不当测试问题，提出了一种基于分离函数估计测试（SFET）的检测器。通过建立关于所提出的检验统计量的前两个原始矩的闭式表达式，我们可以获得基于矩匹配方法的虚警概率（PFA）的解析形式。此外，还可以针对给定的用户指定的 PFA 进一步获得阈值。提供了数值示例来验证我们的理论结果并证明我们提出的探测器的性能增益。