正弦调频Fourier-Bessel变换及其在微动目标特征提取中的应用

何其芳 张群 罗迎 李开明

何其芳, 张群, 罗迎, 李开明. 正弦调频Fourier-Bessel变换及其在微动目标特征提取中的应用[J]. 雷达学报, 2018, 7(5): 593-601. doi: 10.12000/JR17069
引用本文: 何其芳, 张群, 罗迎, 李开明. 正弦调频Fourier-Bessel变换及其在微动目标特征提取中的应用[J]. 雷达学报, 2018, 7(5): 593-601. doi: 10.12000/JR17069
He Qifang, Zhang Qun, Luo Ying, Li Kaiming. A Sinusoidal Frequency Modulation Fourier-Bessel Transform and its Application to Micro-Doppler Feature Extraction[J]. Journal of Radars, 2018, 7(5): 593-601. doi: 10.12000/JR17069
Citation: He Qifang, Zhang Qun, Luo Ying, Li Kaiming. A Sinusoidal Frequency Modulation Fourier-Bessel Transform and its Application to Micro-Doppler Feature Extraction[J]. Journal of Radars, 2018, 7(5): 593-601. doi: 10.12000/JR17069

正弦调频Fourier-Bessel变换及其在微动目标特征提取中的应用

DOI: 10.12000/JR17069
基金项目: 国家自然科学基金(61631019,61471386),陕西省青年科技新星计划项目(2016KJXX-49)
详细信息
    作者简介:

    何其芳(1993–),女,陕西西安人,现为空军工程大学信息与导航学院硕士研究生,研究方向为雷达信号处理与目标识别。E-mail: qifanghe@163.com

    张群:张   群(1964–),男,陕西合阳人,现为空军工程大学信息与导航学院教授,博士生导师,IEEE Senior Member,研究方向为雷达信号处理、雷达成像与目标识别。E-mail: zhangqunnus@gmail.com

    罗迎:罗   迎(1984–),男,湖南益阳人,现为空军工程大学信息与导航学院副教授,博士生导师,研究方向为雷达信号处理、雷达成像。E-mail: luoying2002521@163.com

    李开明(1982–),男,山西应县人。现为空军工程大学信息与导航学院讲师,研究方向为雷达成像及目标识别。E-mail: likaiming1982@163.com

    通讯作者:

    何其芳   qifanghe@163.com

A Sinusoidal Frequency Modulation Fourier-Bessel Transform and its Application to Micro-Doppler Feature Extraction

Funds: The National Natural Science Foundation of China (61631019, 61471386), The Youth Science and Technology New Star Project of Shaanxi Province (2016KJXX-49)
  • 摘要: 针对微动目标特征提取问题,该文提出了一种正弦调频Fourier-Bessel变换(Sinusoidal Frequency Modulation Fourier-Bessel Transform, SFMFBT),并基于SFMFBT提出了一种雷达目标微动频率的精确提取方法。首先给出了SFMFBT的定义,分析了变换的相关性质,并通过频率提取误差分析给出了一种修正方法,最后讨论了离散信号处理中的若干问题。相比于傅里叶-贝塞尔变换,SFMFBT将k分辨率参数引入Bessel函数基,克服了其对应频率不可细分的缺陷,并且通过误差分析提高了信号分解精度,从而将Bessel函数基引入特征提取领域,拓展了其应用范围。仿真结果表明该方法同样适用于微动群目标频率提取与回波分离重构,且在SNR>0 dB条件下具有较好的鲁棒性。

     

  • 图  1  雷达与群目标几何关系

    Figure  1.  The geometry model of the radar and the group target

    图  2  回波信号SFMFBT结果

    Figure  2.  SFMFBT of returned signals

    图  3  目标回波及各目标重构回波时频分析

    Figure  3.  Time-frequency analysis of the echo signal and the individual reconstructed signals

    图  4  频率提取正确概率pe随SNR及k分辨率变化曲线

    Figure  4.  The curve of m-D frequency extraction probability pe in different SNR and k-resolution conditions

    图  5  提取旋转频率NRMSE随旋转半径及SNR变化曲线

    Figure  5.  NRMSE curves with different rotation radius and SNR

    图  6  算法运行时间

    Figure  6.  Computation time of the SFMFB series

    表  1  微动频率提取结果

    Table  1.   The m-D frequency extraction result

    目标 k分辨率 最大值项数 初始频率(Hz) 修正频率(Hz) 绝对误差(Hz)
    目标1 1 11 2.6878 2.7398 0.2602
    4 50 3.1094 3.0254 0.0254
    10 124 3.0938 3.0088 0.0088
    目标2 1 25 6.1876 6.2381 0.2619
    4 106 6.6094 6.5234 0.0234
    10 264 6.5938 6.5083 0.0083
    目标3 1 40 9.9376 9.9881 0.2119
    4 165 10.2969 10.2089 0.0089
    10 412 10.2938 10.2078 0.0078
    下载: 导出CSV
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出版历程
  • 收稿日期:  2017-07-07
  • 修回日期:  2017-09-01
  • 网络出版日期:  2018-10-28

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