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一维GTD散射中心模型参数估计的改进MUSIC算法

郑舒予 张小宽 郭艺夺 宗彬锋 徐嘉华

郑舒予, 张小宽, 郭艺夺, 等 . 一维GTD散射中心模型参数估计的改进MUSIC算法[J]. 北京航空航天大学学报, 2020, 46(11): 2149-2155. doi: 10.13700/j.bh.1001-5965.2019.0576
引用本文: 郑舒予, 张小宽, 郭艺夺, 等 . 一维GTD散射中心模型参数估计的改进MUSIC算法[J]. 北京航空航天大学学报, 2020, 46(11): 2149-2155. doi: 10.13700/j.bh.1001-5965.2019.0576
ZHENG Shuyu, ZHANG Xiaokuan, GUO Yiduo, et al. Parameter estimation of 1D GTD scattering center model based on an improved MUSIC algorithm[J]. Journal of Beijing University of Aeronautics and Astronautics, 2020, 46(11): 2149-2155. doi: 10.13700/j.bh.1001-5965.2019.0576(in Chinese)
Citation: ZHENG Shuyu, ZHANG Xiaokuan, GUO Yiduo, et al. Parameter estimation of 1D GTD scattering center model based on an improved MUSIC algorithm[J]. Journal of Beijing University of Aeronautics and Astronautics, 2020, 46(11): 2149-2155. doi: 10.13700/j.bh.1001-5965.2019.0576(in Chinese)

一维GTD散射中心模型参数估计的改进MUSIC算法

doi: 10.13700/j.bh.1001-5965.2019.0576
基金项目: 

国家自然科学基金 61372033

目标与散射电磁散射辐射重点实验室创新基金 STES2014-2

详细信息
    作者简介:

    郑舒予  男, 硕士研究生。主要研究方向:散射中心提取、目标探测与识别

    张小宽  男, 博士, 教授, 硕士生导师。主要研究方向:目标探测与识别、雷达目标电磁散射特性研究

    郭艺夺  男, 博士, 讲师。主要研究方向:MIMO雷达信号处理、阵列信号处理

    宗彬锋  男, 博士, 讲师。主要研究方向:天线与电磁波传输

    徐嘉华  男, 硕士研究生。主要研究方向:目标探测与识别

    通讯作者:

    张小宽, E-mail: 15529037989@163.com

  • 中图分类号: TN957

Parameter estimation of 1D GTD scattering center model based on an improved MUSIC algorithm

Funds: 

National Natural Science Foundation of China 61372033

Objectives and Environment Key Laboratory of Electromagnetic Environmental Radiation Innovation Fund STES2014-2

More Information
  • 摘要:

    针对利用多重信号分类(MUSIC)算法估计一维几何绕射理论(GTD)的散射中心模型时噪声鲁棒性较差、参数精度不高这一问题,提出一类改进的MUSIC算法。首先,构建原始回波数据的共轭矩阵,有效提高了原始回波数据的利用率;其次,将原始回波数据的协方差矩阵、共轭数据的协方差矩阵叠加取平均,得到一个新的总协方差矩阵;最后,对矩阵作2次方、4次方等偶次方处理,得到另一矩阵,以达到增大信号特征值与噪声特征值之间差距的作用,等效为增大了信噪比。仿真结果表明:所提改进算法的参数估计性能及噪声鲁棒性均要优于经典MUSIC算法。

     

  • 图 1  不同算法下,r1~r4的RMSE比较

    Figure 1.  comparison of r1-r4 among different algorithms

    图 2  不同算法下,α1~α4的RMSE比较

    Figure 2.  RMSE comparison of α1-α4 among different algorithms

    图 3  不同算法下,A1~A4的均方差比较

    Figure 3.  RMSE comparison of A1-A4 among different algorithms

    图 4  重构RCS比较

    Figure 4.  Comparison of reconstructed RCS

    图 5  RCS差值比较

    Figure 5.  Comparison of errors of RCS

    表  1  典型散射结构的α

    Table  1.   α values of typical scattering structures

    典型散射结构 α
    二面角、三面角、平面法向反射 1
    单曲面反射、圆柱面反射 0.5
    双曲面反射、球面反射 0
    边缘绕射 -0.5
    尖顶绕射 -1
    下载: 导出CSV

    表  2  4个散射中心参数

    Table  2.   Parameters of four scattering centers

    位置参数ri/m 散射类型αi 散射强度Ai
    1.21 1.0 4.20
    1.45 0.5 3.50
    1.63 -0.5 2.20
    1.84 -1 1.36
    下载: 导出CSV

    表  3  不同算法运算量与运算时间比较

    Table  3.   Comparison of computational complexity and running time among different algorithms

    算法 计算协方差矩阵 200次运行时间/s
    MUSIC P2L 6.177181
    改进MUSIC(2次方) 3P2L+PL 6.919602
    改进MUSIC(4次方) 6P2L+PL 7.269313
    改进MUSIC(6次方) 8P2L+PL 7.617376
    下载: 导出CSV
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出版历程
  • 收稿日期:  2019-11-11
  • 录用日期:  2020-02-22
  • 网络出版日期:  2020-11-20

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