论文标题
高度精确的闭合形式近似，以检测非连锁检测器中的微作用靶标的概率
Highly accurate closed-form approximation for the probability of detection of Weibull fluctuating targets in non-coherent detectors
论文作者
论文摘要
在本文中，我们得出了具有Weibull波动靶标的非连锁检测器的检测概率（PD）的高度准确近似值。为此，我们假设在相干处理间隔（CPI）期间脉冲对脉冲去相关。具体而言，提出的近似是根据：i）根据FOX的H功能得出的闭合形式表达式，我们还为此提供了便携式有效的Mathematica常规； ii）通过残基的全面演算获得的快速收敛序列。两种解决方案都是快速的，并提供非常准确的结果。特别是，与以前的研究相比，我们的串联表示外，除了是一个更容易处理的解决方案之外，还可以在计算负载和计算时间上节省了令人印象深刻的节省。数值结果和蒙特卡洛模拟证实了我们表达的有效性。
In this paper, we derive a highly accurate approximation for the probability of detection (PD) of a non-coherent detector operating with Weibull fluctuation targets. To do so, we assume a pulse-to-pulse decorrelation during the coherent processing interval (CPI). Specifically, the proposed approximation is given in terms of: i) a closed-form expression derived in terms of the Fox's H-function, for which we also provide a portable and efficient MATHEMATICA routine; and ii) a fast converging series obtained through a comprehensive calculus of residues. Both solutions are fast and provide very accurate results. In particular, our series representation, besides being a more tractable solution, also exhibits impressive savings in computational load and computation time compared to previous studies. Numerical results and Monte-Carlo simulations corroborated the validity of our expressions.
