复杂重尾杂波下基于MAD非对称修剪的鲁棒恒虚警检测技术研究

    Research onRobust CFAR Detection TechnologyUsing MAD-based Asymmetric Trimming in Complex Heavy-Tailed Clutter

    • 摘要: 针对地面侦察雷达在非高斯重尾杂波与多目标密集干扰交织环境下,传统恒虚警检测器易出现目标遮蔽、门限抬升及边缘虚警失控等问题,本文提出一种基于绝对中位差(Median Absolute Deviation,MAD)非对称广义修剪的鲁棒恒虚警检测技术 (Generalized Trimmed Median Absolute Deviation CFAR,GTMAD-CFAR)。该方法以中位数与MAD作为局部背景的稳健统计基准,引入上界修剪因子α和下界修剪因子β,构造上下界独立可调的动态修剪机制:上界修剪用于抑制高强度离群值并尽量保留重尾杂波的自然长尾样本,下界修剪用于削弱滑窗跨越杂波边缘时由低功率拖尾样本引发的背景低估。针对非线性修剪导致的检测门限难以解析求解问题,采用蒙特卡洛统计方法离线求取门限因子,并结合查表实现在线快速调用。仿真结果表明,所提算法在均匀重尾背景下仅引入较小的恒虚警损失,在多目标干扰条件下能够显著抑制目标遮蔽效应,在杂波边缘环境下具有更优的虚警恢复能力和统计稳定性,并表明其具有一定的工程实现可行性与应用价值。

       

      Abstract: To address the problems of target masking, threshold elevation, and uncontrolled edge false alarms encountered by conventional constant false alarm rate (CFAR) detectors in ground surveillance radar under intertwined environments of non-Gaussian heavy-tailed clutter and dense multi-target interference. This paper proposes a robust CFAR detection technology using MAD-based asymmetric trimming. The proposed method employs the median and MAD as robust statistical references for local background,introducing an upper trimming factor α and a lower trimming factor β to construct a dynamic trimming mechanism with independently adjustable upper and lower bounds. Specifically, upper-bound trimming is used to suppress high-intensity outliers while preserving the natural long-tail samples of heavy-tailed clutter as much as possible, whereas lower-bound trimming is introduced to mitigate background underestimation caused by low-power trailing samples when the sliding window crosses clutter edges. To address the difficulty of analytically deriving the detection threshold after nonlinear trimming, a Monte-Carlo statistical method is adopted to obtain the offline threshold factor, which is then combined with a lookup table for fast online invocation. Simulation results show that the proposed algorithm introduces only a small CFAR loss in homogeneous heavy-tailed backgrounds, significantly suppresses target masking under multi-target interference, and exhibits superior false-alarm recovery capability and statistical stability in clutter-edge scenarios, and indicates its feasibility and potential application value for engineering implementation.

       

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