基于自适应E脉冲的极点特征参数提取方法研究

    Research on extraction methodbased on adaptive E-pulse polecharacteristic parameters

    • 摘要: 为了提高基于传统E脉冲极点提取算法性能,为复杂环境中快速决策提供指导,本文进行了基于自适应E脉冲极点提取算法的研究。通过FEKO电磁仿真软件得到标准细杆的时域回波数据,采用矩阵束算法提取极点。根据E脉冲生成原理,构造初始E脉冲。通过比较E脉冲与时域回波数据卷积后时响应的归一化能量与所设阈值的大小,作为极点数据是否需要进行优化的判据。采用梯度下降算法对提取极点进行优化直至归一化能量满足所设阈值要求。通过分析不同激励方向的时域回波数据,发现不同入射角度对应时域回波幅度大小存在差异,随着时间的推移,时域回波数据振荡幅度逐渐减小到零。通过分析不同入射角度提取极点与理论极点的一致性,证明极点提取算法的有效性。通过分析矩形基函数和三角基函数构造E脉冲与回波数据卷积后时响应能量识别数差异,发现矩形基函数比三角基函数对提高目标识别效果具有积极影响。通过分析能量识别数随迭代次数逐渐减小,证明了梯度下降算法的有效性。

       

      Abstract: In order to improve the performance of the traditional E-pulse pole extraction algorithm and provide guidance for rapid decision-making in complex environments, this paper conducts research on the adaptive e-pulse pole extraction algorithm. The time-domain echo data of the standard slender rod is obtained through the FEKO electromagnetic simulation software. The poles are extracted by using the matrix pencil method. The initial E-pulse is constructed according to the principle of E-pulse generation. The decision to optimize pole data is based on whether the normalized energy of the convolution response between the E-pulse and the time-domain echo data exceeds a preset threshold. The gradient descent algorithm is adopted to optimize the extracted poles until the normalized energy meets the preset threshold requirements. By analyzing the time-domain echo data in different excitation directions, it is found that there are differences in the amplitude of the time-domain echo corresponding to different incident angles. The oscillation amplitude of the time-domain echo data gradually decreases to zero over time. The effectiveness of the pole extraction algorithm is proved by analyzing the consistency between the extracted poles at different incident angles and the theoretical poles. By analyzing the difference in the response energy identification number after convolution of E-pulse and echo data constructed by rectangular basis functions and trigonometric basis functions, it is found that the rectangular basis function has a more positive impact on improving the target identification effect than the trigonometric basis function. By analyzing that the energy identification number gradually decreases with the number of iterations, the effectiveness of the gradient descent algorithm is proved.

       

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