基于三维墙体补偿的快速重聚焦算法

袁玉冰 叶盛波 纪奕才 林波 梁啸 李心慧 刘小军 方广有 罗朝鹏 吕荣其

袁玉冰, 叶盛波, 纪奕才, 等. 基于三维墙体补偿的快速重聚焦算法[J]. 雷达学报(中英文), 待出版. doi: 10.12000/JR24051
引用本文: 袁玉冰, 叶盛波, 纪奕才, 等. 基于三维墙体补偿的快速重聚焦算法[J]. 雷达学报(中英文), 待出版. doi: 10.12000/JR24051
YUAN Yubing, YE Shengbo, JI Yicai, et al. Fast refocusing algorithm based on three-dimensional wall compensation[J]. Journal of Radars, in press. doi: 10.12000/JR24051
Citation: YUAN Yubing, YE Shengbo, JI Yicai, et al. Fast refocusing algorithm based on three-dimensional wall compensation[J]. Journal of Radars, in press. doi: 10.12000/JR24051

基于三维墙体补偿的快速重聚焦算法

doi: 10.12000/JR24051
基金项目: 国家重点研发计划(2021YFC3002100);近地面探测技术重点实验室基金(6142414220710)
详细信息
    作者简介:

    袁玉冰,博士生,主要研究方向为超宽带雷达信号处理、穿墙三维成像技术等

    叶盛波,研究员,硕士生导师,主要研究方向为超宽带探地雷达、穿墙三维成像雷达等技术

    纪奕才,研究员,博士生导师,主要研究方向为超宽带雷达、超宽带天线、电磁场数值计算、电磁兼容

    林 波,博士生,主要研究方向为毫米波成像与目标识别技术

    梁 啸,博士生,主要研究方向为超宽带穿墙雷达、生命信号增强技术等

    李心慧,硕士生,主要研究方向为超宽带穿透雷达技术

    刘小军,研究员,博士生导师,主要研究方向为超宽带雷达技术、信号与信息处理

    方广有,研究员,博士生导师,主要研究方向为超宽带雷达成像理论与技术、探地雷达技术、地球物理电磁勘探技术、月球/火星探测雷达技术、超宽带天线理论与技术、THz成像技术等

    罗朝鹏,硕士,高级工程师,主要研究方向为未爆弹探测方法与应用

    吕荣其,硕士,助理工程师,主要研究方向为地下小目标体探测方法与应用

    通讯作者:

    叶盛波 yesb@aircas.ac.cn

    罗朝鹏 chaopengluo59103@163.com

  • 责任主编:金添 Corresponding Editor: JIN Tian
  • 中图分类号: TN953

Fast Refocusing Algorithm Based on Three-dimensional Wall Compensation

Funds: The National Key R&D Program of China (2021YFC3002100); Science and Technology on Near-Surface Detection Laboratory (6142414220710)
More Information
  • 摘要: 超宽带穿墙雷达具备穿透墙体的能力,结合多输入多输出(MIMO)技术可以实现墙体后侧隐蔽目标的成像,为建筑物内人员检测和定位提供了丰富的信息。该文基于调频连续波(FMCW)体制下的多发多收超宽带穿墙雷达系统,提出了一种闭环干涉校准方法,校正了由系统内部误差产生的图像散焦。墙体的存在会导致目标成像位置偏离真实位置,该文推导了联合通道和像素点的三维墙体补偿算法,并基于其几何特性,提出快速重聚焦算法。首先去除墙体影响、确定目标存在区域;鉴于区域几何特性,选择适应区域形状的球坐标网格划分;分区域进行局部重聚焦,避免了因电磁波衰减导致成像结果中出现强目标掩盖弱目标的现象,并且球坐标形式的网格划分和局部成像大大缩减了算法耗时。通过仿真分析与实验验证,该文提出的系统校准方法能有效补偿系统误差,快速重聚焦算法可以实现墙后人体多目标三维定位,各维度定位精度优于10 cm,计算效率相对其余算法提升了5倍左右。从目标检测概率方面,所提算法相比其余算法不会出现弱目标的漏检。

     

  • 图  1  MIMO雷达系统结构图

    Figure  1.  The block diagram of MIMO radar system

    图  2  天线阵列结构图

    Figure  2.  The physical structure of the antenna array

    图  3  角反射器成像场景

    Figure  3.  The corner reflector imaging scenario

    图  4  校准前后角反射器三维成像结果

    Figure  4.  3D imaging results of the corner reflector before and after calibration

    图  5  所提重聚焦算法流程图

    Figure  5.  Flowchart of the proposed refocusing algorithm

    图  6  二维穿墙传播路径

    Figure  6.  2D propagation path through the wall

    图  7  三维穿墙模型

    Figure  7.  3D wall penetrating model

    图  8  三维电磁波传播路径

    Figure  8.  3D propagation path through the wall

    图  9  $\delta R$随$\theta $的变化

    Figure  9.  The variation of $\delta R$ with $\theta $

    图  10  三维空间局部成像

    Figure  10.  Local imaging in 3D space

    图  11  分区域聚焦网格划分

    Figure  11.  Grid partitioning with regional focus

    图  12  传统算法的成像结果

    Figure  12.  The imaging results of traditional algorithm

    图  13  所提算法的仿真成像结果

    Figure  13.  The simulation imaging results of the proposed algorithm

    图  14  目标定位误差

    Figure  14.  Target positioning error curve

    图  15  两个人体目标的实验场景图

    Figure  15.  The experimental scenario of two human targets

    图  16  中心通道回波距离-慢时间分布

    Figure  16.  Center channel echo range-slow time distribution

    图  17  所提算法两个人体目标成像结果

    Figure  17.  The imaging results of two human targets using the proposed algorithm

    图  18  两个人体目标各方法三维成像结果

    Figure  18.  The 3D imaging results of two human targets using various algorithms

    图  19  3个人体目标的实验场景图

    Figure  19.  The experimental scenario of three human targets

    图  20  3个人体目标中心通道回波距离-慢时间分布

    Figure  20.  Center channel echo range-slow time distribution of three human targets

    图  21  所提算法3个人体目标成像结果

    Figure  21.  The imaging results of three human targets using the proposed algorithm

    图  22  3个人体目标各方法三维成像结果

    Figure  22.  The 3D imaging results of three human targets using various algorithms

    图  23  狭小空间实验场景

    Figure  23.  Narrow space experimental scene

    图  24  狭小空间两目标成像结果

    Figure  24.  Imaging results of various methods in a narrow spaces

    表  1  仿真参数表

    Table  1.   Simulation parameter table

    参数 指标
    墙体厚度${D_{\mathrm{w}}}$ 37 cm
    相对介电常数${\varepsilon _{\mathrm{r}}}$ 6
    天线阵列 4发7收
    信号波形 Ricker子波
    目标位置 (1.5, 1.0, 1.0)
    下载: 导出CSV

    表  2  各方法定位精度对比(m)

    Table  2.   Comparison of positioning accuracy among various methods (m)

    所用算法 x y z $|\Delta x|$($|\Delta x|/x$) $|\Delta y|$ ($\Delta y|/y$) $|\Delta z|$ ($|\Delta z|/z$) $\delta p$
    理想 1.5 1.0 1.0
    传统算法 2.145 1.44 0.9877 0.645(43%) 0.44(44%) 0.0123(1.23%) 0.645
    文献[16] 1.935 1.3 0.896 0.435(22.48%) 0.3(30%) 0.104(10.4%) 0.435
    文献[19] 1.4375 0.966 1.1634 0.0625(4.17%) 0.034(3.4%) 0.1634(16.34%) 0.1634
    所提算法 1.5408 1.0121 0.996 0.0408(2.72%) 0.0121(1.21%) 0.004(0.4%) 0.0408
    下载: 导出CSV

    表  3  各方法对目标1定位精度对比(m)

    Table  3.   Comparison of positioning accuracy of target 1 using various methods (m)

    所用算法 x y z $|\Delta x|$ $|\Delta y|$ $|\Delta z|$
    理想 1.3 1.0 2.4
    传统算法 1.633 1.29 2.6333 0.333 0.29 0.2333
    文献[16] 1.5667 1.17 2.4981 0.2667 0.17 0.0981
    文献[19] 1.3667 1.08 2.3743 0.0667 0.08 0.0257
    所提算法 1.3805 1.0478 2.3854 0.0805 0.0478 0.0146
    下载: 导出CSV

    表  4  目标位置(m)

    Table  4.   Target position (m)

    序号 坐标
    目标1 (0, 0.6, 2.7)
    目标2 (1.6, 0.1, 4.5)
    目标3 (–4.4, 0.1, 5.3)
    下载: 导出CSV

    表  5  各方法对目标1定位精度对比(m)

    Table  5.   Comparison of positioning accuracy of target 1 using various methods (m)

    所用算法 x y z $|\Delta x|$ $|\Delta y|$ $|\Delta z|$
    理想 0 0.6 2.7
    传统算法 0.08 0.75 3.0405 0.08 0.15 0.3405
    文献[16] 0.04 0.69 2.8574 0.04 0.09 0.1574
    文献[19] 0.0667 0.63 2.6743 0.0667 0.03 0.0257
    所提算法 0.0502 0.5979 2.6843 0.0502 0.0021 0.0157
    下载: 导出CSV

    表  6  各方法对目标2定位精度对比(m)

    Table  6.   Comparison of positioning accuracy of target 2 using various methods (m)

    所用算法 x y z $|\Delta x|$ $|\Delta y|$ $|\Delta z|$
    理想 1.6 0.1 4.5
    传统算法 1.88 0.18 4.7801 0.28 0.08 0.2801
    文献[16] 1.80 0.15 4.6123 0.20 0.05 0.1123
    文献[19] 1.6667 0.15 4.4597 0.0667 0.05 0.0403
    所提算法 1.6402 0.1724 4.4740 0.0402 0.0724 0.0240
    下载: 导出CSV

    表  7  各方法对目标1定位精度对比(m)

    Table  7.   Comparison of positioning accuracy of target 1 using various methods (m)

    所用算法 x y z $|\Delta x|$ $|\Delta y|$ $|\Delta z|$
    理想 1.6 0.23 1.9
    传统算法 1.84 0.33 2.0233 0.24 0.1 0.1233
    文献[16] 1.76 0.33 1.9607 0.16 0.1 0.0607
    文献[19] 1.6 0.33 1.9293 0 0.1 0.0293
    所提算法 1.6421 0.3132 1.8961 0.0421 0.0832 0.0039
    下载: 导出CSV
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出版历程
  • 收稿日期:  2024-03-29
  • 修回日期:  2024-05-13
  • 网络出版日期:  2024-06-13

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