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基于改进矩阵束的超宽带一维散射中心提取方法

魏少明 洪文衍 王俊 耿雪胤 金明明

魏少明, 洪文衍, 王俊, 耿雪胤, 金明明. 基于改进矩阵束的超宽带一维散射中心提取方法[J]. 电子与信息学报, 2022, 44(4): 1231-1240. doi: 10.11999/JEIT210602
引用本文: 魏少明, 洪文衍, 王俊, 耿雪胤, 金明明. 基于改进矩阵束的超宽带一维散射中心提取方法[J]. 电子与信息学报, 2022, 44(4): 1231-1240. doi: 10.11999/JEIT210602
WEI Shaoming, HONG Wenyan, WANG Jun, GENG Xueyin, JIN Mingming. Extracting UWB One-Dimensional Scattering Center Based on Improved Matrix Pencil[J]. Journal of Electronics & Information Technology, 2022, 44(4): 1231-1240. doi: 10.11999/JEIT210602
Citation: WEI Shaoming, HONG Wenyan, WANG Jun, GENG Xueyin, JIN Mingming. Extracting UWB One-Dimensional Scattering Center Based on Improved Matrix Pencil[J]. Journal of Electronics & Information Technology, 2022, 44(4): 1231-1240. doi: 10.11999/JEIT210602

基于改进矩阵束的超宽带一维散射中心提取方法

doi: 10.11999/JEIT210602
基金项目: 国家自然科学基金(61671035),重点实验室基金(6142502180103)
详细信息
    作者简介:

    魏少明:男,1985年生,实验师,硕士生导师,研究方向为超宽带目标散射参数高精度提取、数据关联、目标3维重构等

    洪文衍:男,1996年生,硕士生,研究方向为阵列信号处理、TDM-MIMO雷达3维成像等

    王俊:男,1972年生,教授,博士生导师,研究方向为雷达信号处理、实时信号处理等

    耿雪胤:男,1996年生,博士生,研究方向为毫米波雷达前视超分辨3维成像等

    金明明:男,1994年生,博士生,研究方向为分布式3维成像、异质传感器数据融合、决策分析等

    通讯作者:

    魏少明 shaoming.wei@buaa.edu.cn

  • 中图分类号: TN95

Extracting UWB One-Dimensional Scattering Center Based on Improved Matrix Pencil

Funds: The National Natural Science Foundation of China (61671035), The Key Laboratory Foundation (6142502180103)
  • 摘要: 针对微动参数的高精度快速估计问题,该文提出一种基于几何绕射(GTD)模型和改进矩阵束的超宽带(UWB)散射中心提取算法,可实现散射中心径向距离、类型参数及散射强度的同时估计。该方法将超宽带条件下的目标GTD散射模型转化为状态空间方程,利用奇异值分解将汉克尔矩阵中的噪声分量去除,对降秩的汉克尔矩阵做广义特征值分解,利用单个脉冲内最强的若干散射点构造回波估计,进而获得径向距离的估计;在准确估计距离参数的条件下,对模型参数解耦,使得类型参数与其他参数分离,通过最小二乘算法和搜索算法获得类型参数的估计;最后基于最小二乘法估计出散射中心的散射强度。仿真结果表明,改进的矩阵束方法在低信噪比(SNR)下具有好的鲁棒性,可快速且高精度地提取目标微动距离、类型参数和散射强度等信息。
  • 图  1  改进矩阵束参数快速估计算法流程

    图  2  球头锥目标的切面及散射中心的位置图像

    图  3  状态空间平衡法对散射中心各参数的估计结果

    图  4  矩阵束法对散射中心各参数的估计结果

    图  5  改进的矩阵束法对散射中心各参数的估计结果

    图  6  3种参数估计方法的均方根误差

    表  1  类型参数代表的几何特征

    参数值散射中心的几何特征
    –4/2边缘上曲率不连续点
    –2/2锥尖
    –1/2弯曲边缘衍射
    0/2双曲面,平直的边缘
    +1/2单曲面(柱面)
    +2/2角反射器,平面
    下载: 导出CSV

    表  2  散射中心参数估计的仿真参数设置

    参数名称数值
    频率间隔$\Delta f$10 MHz
    频率点数201
    中心频率${f_{\text{c}}}$10 GHz
    信号采样间隔$\Delta t$0.001 s
    时间窗口19
    总体仿真时间1 s
    下载: 导出CSV

    表  3  加噪声情况下各算法的类型参数估计准确率及算法运行时间

    算法名称类型参数估计准确率(%)算法运行时间(s)
    状态空间平衡法28.6032.1984
    矩阵束法46.2034.3592
    改进的矩阵束法46.1417.1721
    下载: 导出CSV
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出版历程
  • 收稿日期:  2021-06-21
  • 修回日期:  2022-02-24
  • 录用日期:  2022-03-10
  • 网络出版日期:  2022-03-15
  • 刊出日期:  2022-04-18

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