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Sea Clutter Distribution Modeling: A Kernel Density Estimation Approach

机译:海杂波分布建模:一种核密度估计方法

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An accurate sea clutter distribution is crucial for decision region determination when detecting sea-surface floating targets. However, traditional parametric models possibly have a considerable gap to the realistic distribution of sea clutters due to the volatile sea states. In this paper, we develop a kernel density estimation based framework to model the sea clutter distributions without requiring any prior knowledge. In this framework, we jointly consider two embedded fundamental problems, the selection of a proper kernel density function and the determination of its corresponding optimal bandwidth. Regarding these two problems, we adopt the Gaussian, Gamma, and Weibull distributions as the kernel functions, and derive the closed-form optimal bandwidth equations for them. To deal with the highly complicated equations for the three kernels, we further design a fast iterative bandwidth selection algorithm to solve them. Experimental results show that, compared with existing methods, our proposed approach can significantly decrease the error incurred by sea clutter modeling (about two orders of magnitude reduction) and improve the target detection probability (up to 36% in low false alarm rate cases).
机译:当检测海面漂浮目标时,准确的海杂波分布对于确定决策区域至关重要。然而,由于海况动荡,传统的参数模型可能与海杂波的实际分布有相当大的差距。在本文中,我们开发了一个基于核密度估计的框架,无需任何先验知识即可对海杂波分布进行建模。在此框架中,我们共同考虑了两个嵌入的基本问题,即选择合适的内核密度函数和确定其相应的最佳带宽。针对这两个问题,我们采用高斯,伽玛和威布尔分布作为核函数,并推导了它们的闭式最优带宽方程。为了处理三个内核的高度复杂的方程式,我们进一步设计了一种快速迭代带宽选择算法来求解它们。实验结果表明,与现有方法相比,我们提出的方法可以显着减少海杂波建模引起的误差(减少约两个数量级),并提高目标检测概率(在低误报率情况下可达36%)。

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