基于脉间码型捷变波形的距离-多普勒二维干扰重构算法

高宇航 张凯翔 范花玉 刘泉华 刘子豪 王朝旭

高宇航, 张凯翔, 范花玉, 等. 基于脉间码型捷变波形的距离-多普勒二维干扰重构算法[J]. 雷达学报(中英文), 2024, 13(1): 187–199. doi: 10.12000/JR23196
引用本文: 高宇航, 张凯翔, 范花玉, 等. 基于脉间码型捷变波形的距离-多普勒二维干扰重构算法[J]. 雷达学报(中英文), 2024, 13(1): 187–199. doi: 10.12000/JR23196
GAO Yuhang, ZHANG Kaixiang, FAN Huayu, et al. Range-Doppler two-dimensional jamming reconstruction algorithm based on interpulse code agile waveform[J]. Journal of Radars, 2024, 13(1): 187–199. doi: 10.12000/JR23196
Citation: GAO Yuhang, ZHANG Kaixiang, FAN Huayu, et al. Range-Doppler two-dimensional jamming reconstruction algorithm based on interpulse code agile waveform[J]. Journal of Radars, 2024, 13(1): 187–199. doi: 10.12000/JR23196

基于脉间码型捷变波形的距离-多普勒二维干扰重构算法

DOI: 10.12000/JR23196
基金项目: 国家自然科学基金(62001024),高等学校学科创新引智计划(B14010) ,重庆市自然科学基金(cstc2020jcyj-msxmX0260)
详细信息
    作者简介:

    高宇航,博士生,主要研究方向为新体制雷达波形与滤波器设计、新体制雷达干扰抑制等

    张凯翔,博士生,研究方向为分布式阵列雷达抗干扰

    范花玉,预聘助理教授、硕士生导师,主要研究方向为新体制雷达波形设计、非线性雷达信号处理、精细化雷达信号处理

    刘泉华,教授,博士生导师,主要研究方向为高分辨雷达、分布式雷达系统及信号处理

    刘子豪,博士生,主要研究方向为新体制雷达波形设计、新体制雷达杂波与干扰抑制、自适应信号处理等

    王朝旭,硕士,主要研究方向为新体制雷达波形设计与干扰抑制

    通讯作者:

    范花玉 fan_huayu@sina.com

  • 责任主编:全英汇 Corresponding Editor: QUAN Yinghui
  • 中图分类号: TN958.2

Range-Doppler Two-dimensional Jamming Reconstruction Algorithm Based on Interpulse Code Agile Waveform

Funds: The National Natural Science Foundation of China (62001024), The 111 Project of China (B14010), The Natural Science Foundation of Chongqing (cstc2020jcyj-msxmX0260)
More Information
  • 摘要: 密集假目标干扰通过在真实目标周围产生大量假目标,形成欺骗和压制双重干扰效果,严重影响雷达的目标探测能力。为此,该文提出一种基于脉间码型捷变波形的距离-多普勒二维干扰重构算法来抑制密集假目标干扰。该算法基于脉间码型捷变波形的距离选通性,在距离-多普勒域通过交替反演实现干扰和目标重构,并从回波中对消干扰来实现干扰剔除。首先,通过构造不同距离段的接收滤波器组来实现干扰和目标回波的分距离段处理;其次,采用联合失配滤波器组使各脉冲滤波输出的距离旁瓣结构近似相同,减小脉间码型捷变波形经脉冲多普勒处理后沿多普勒维的散布能量;然后,利用干扰和目标回波在不同距离-多普勒平面上的能量分布特性构造滤波矩阵;最后,通过交替反演实现干扰和目标的精准重构,进而实现密集假目标干扰的抑制。仿真结果表明,与传统方法相比,该文所提算法在干扰抑制和运行时间方面展现出优越的性能,显著提升了雷达在强干扰环境中的目标检测能力。

     

  • 图  1  来自不同距离段的干扰和目标回波以及对应接收滤波器组示意图

    Figure  1.  Diagram of the jamming and target echo from different range intervals and the corresponding receiving filter banks

    图  2  基于脉间码型捷变波形的距离-多普勒二维干扰重构算法流程图

    Figure  2.  Flowchart of the range-Doppler two-dimensional jamming reconstruction algorithm based on interpulse code agile waveform

    图  3  LFM与脉间码型捷变波形回波分距离段相参处理结果对比

    Figure  3.  Comparison of the coherent processing results of the different range intervals between LFM and interpulse code agile waveform echoes

    图  4  不同迭代次数下的分距离段相参处理结果

    Figure  4.  Coherent processing results of the different range intervals under different iterations

    图  5  干扰与目标的反演重构结果

    Figure  5.  Inversion reconstruction results of jamming and target

    图  6  CLEAN算法处理后的干扰抑制结果

    Figure  6.  Jamming suppression results after CLEAN algorithm processing

    图  7  不同SNR条件下SJNR随SJR的变化曲线(实线为本文算法,虚线为CLEAN算法)

    Figure  7.  SJNR curve with SJR value under different SNR conditions (the solid lines represent the proposed algorithm, and the dashed lines represent the CLEAN algorithm)

    图  8  SJNR随a值的变化曲线

    Figure  8.  SJNR curve with a value

    图  9  SJNR随${v_{\text{J}}}$的变化曲线

    Figure  9.  SJNR curve with ${v_{\text{J}}}$ value

    1  基于脉间码型捷变波形的距离-多普勒二维干扰重构算法

    1.   Range-Doppler two-dimensional jamming reconstruction algorithm based on interpulse code agile waveform

     步骤1 根据回波信号的分距离段相参处理结果初步判断干扰信
     号所在距离段以及对应多普勒范围,且初始化滤波矩阵更新次数
     $\gamma = 0$;
     步骤2 对于$\forall x \in \left\{ {0,1, \cdots ,X - 1} \right\}$,根据现有干扰、目标信息
     设计或更新滤波矩阵${\boldsymbol{J}}_x^{\left\{ \gamma \right\}}$;
     步骤3 对于$\forall x \in \left\{ {0,1, \cdots ,X - 1} \right\}$,初始化${\boldsymbol{E}}_x^{\left\{ 0 \right\}}$为全0矩阵;
     步骤4 初始化迭代序号$k = 0$;
     步骤5 根据式(23),对来自不同距离段的回波信号进行迭代重构;
     步骤6 令$k = k + 1$,重复步骤5直到满足算法停止条件;
     步骤7 根据式(25)获得来自不同距离段回波信号的距离-多普勒
     成像结果;
     步骤8 执行目标检测流程。若检测到新的目标,令$\gamma = \gamma + 1$并
     重复步骤2—步骤8;否则,结束算法流程。
    下载: 导出CSV

    表  1  交替反演重构干扰/目标的计算复杂度

    Table  1.   Computational complexity of alternate inversion reconstructed jamming/target

    步骤 计算复杂度
    快时间失配滤波 $\mathcal{O}\left( {ML} \right)$
    慢时间加窗多普勒处理 $\mathcal{O}\left( {ML + LP\log P} \right)$
    提取距离-多普勒平面干扰/
    目标速度分布区间能量
    $\mathcal{O}\left( {LP} \right)$
    慢时间逆处理 $\mathcal{O}\left( {ML + LP\log P} \right)$
    快时间逆处理 $\mathcal{O}\left( {ML} \right)$
    下载: 导出CSV

    表  2  波形参数

    Table  2.   Waveform parameters

    参数 数值
    码片宽度(μs) 0.4
    码片个数 128
    信号脉宽(μs) 51.2
    信号带宽(MHz) 2.5
    脉冲重复周期(μs) 512
    载频(GHz) 0.5
    脉冲数 128
    下载: 导出CSV

    表  3  运行时间对比(s)

    Table  3.   Comparison of running time (s)

    算法 运行时间
    CLEAN 51.58
    所提算法 0.52
    下载: 导出CSV
  • [1] 李永祯, 黄大通, 邢世其, 等. 合成孔径雷达干扰技术研究综述[J]. 雷达学报, 2020, 9(5): 753–764. doi: 10.12000/JR20087

    LI Yongzhen, HUANG Datong, XING Shiqi, et al. A review of synthetic aperture radar jamming technique[J]. Journal of Radars, 2020, 9(5): 753–764. doi: 10.12000/JR20087
    [2] FENG Dejun, XU Letao, PAN Xiaoyi, et al. Jamming wideband radar using interrupted-sampling repeater[J]. IEEE Transactions on Aerospace and Electronic Systems, 2017, 53(3): 1341–1354. doi: 10.1109/TAES.2017.2670958
    [3] BUTT F A and JALIL M. An overview of electronic warfare in radar systems[C]. 2013 The International Conference on Technological Advances in Electrical, Electronics and Computer Engineering (TAEECE), Konya, Turkey, 2013: 213–217.
    [4] HEAGNEY C P. Digital radio frequency memory synthetic instrument enhancing US navy automated test equipment mission[J]. IEEE Instrumentation & Measurement Magazine, 2018, 21(4): 41–63. doi: 10.1109/MIM.2018.8423745
    [5] SOUMEKH M. SAR-ECCM using phase-perturbed LFM chirp signals and DRFM repeat jammer penalization[C]. 2005 IEEE International Radar Conference, Arlington, USA, 2005: 507–512.
    [6] AKHTAR J. Orthogonal block coded ECCM schemes against repeat radar jammers[J]. IEEE Transactions on Aerospace and Electronic Systems, 2009, 45(3): 1218–1226. doi: 10.1109/TAES.2009.5259195
    [7] AKHTAR J. An ECCM scheme for orthogonal independent range-focusing of real and false targets[C]. 2007 IEEE Radar Conference, Waltham, USA, 2007: 846–849.
    [8] LI Yongzhe and VOROBYOV S A. Fast algorithms for designing unimodular waveform(s) with good correlation properties[J]. IEEE Transactions on Signal Processing, 2018, 66(5): 1197–1212. doi: 10.1109/TSP.2017.2787104
    [9] SONG Junxiao, BABU P, and PALOMAR D P. Sequence set design with good correlation properties via majorization-minimization[J]. IEEE Transactions on Signal Processing, 2016, 64(11): 2866–2879. doi: 10.1109/TSP.2016.2535312
    [10] REN Wei, ZHANG Honggang, LIU Quanhua, et al. Greedy code search based memetic algorithm for the design of orthogonal polyphase code sets[J]. IEEE Access, 2019, 7: 13561–13576. doi: 10.1109/ACCESS.2019.2893970
    [11] 徐乃清. 基于捷变波形的雷达抗干扰技术研究[D]. [硕士论文], 南京航空航天大学, 2020.

    XU Naiqing. Research on radar anti-jamming technique based on agile waveform[D]. [Master dissertation], Nanjing University of Aeronautics and Astronautics, 2020.
    [12] YANG Ya, CUI Guolong, WU Jian, et al. Optimized phase-coded waveforms design against range repeat jamming[C]. 2015 IEEE Radar Conference, Arlington, USA, 2015: 395–399.
    [13] BU Yi, YU Xianxiang, YANG Jing, et al. A new approach for design of constant modulus discrete phase radar waveform with low WISL[J]. Signal Processing, 2021, 187: 108145. doi: 10.1016/j.sigpro.2021.108145
    [14] LI Yongzhe and VOROBYOV S A. Efficient single/multiple unimodular waveform design with low weighted correlations[C]. 2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), New Orleans, USA, 2017: 3226–3230.
    [15] 徐磊磊. 雷达波形设计及抗主瓣有源干扰若干技术研究[D]. [博士论文], 西安电子科技大学, 2019.

    XU Leilei. Researches on Radar waveform design and several techniques of mainlobe active interference suppression[D]. [Ph.D. dissertation], Xidian University, 2019.
    [16] XU Leilei, ZHOU Shenghua, LIU Hongwei, et al. Distributed multiple-input-multiple-output radar waveform and mismatched filter design with expanded mainlobe[J]. IET Radar, Sonar & Navigation, 2018, 12(2): 227–238. doi: 10.1049/iet-rsn.2017.0340
    [17] BERESTESKY P and ATTIA E H. Sidelobe leakage reduction in random phase diversity radar using coherent CLEAN[J]. IEEE Transactions on Aerospace and Electronic Systems, 2019, 55(5): 2426–2435. doi: 10.1109/TAES.2018.2888652
    [18] SUN Yinghao, FAN Huayu, REN Lixiang, et al. Folded clutter suppression for pulse-Doppler radar based on pulse-agile waveforms[J]. IEEE Transactions on Signal Processing, 2022, 70: 3774–3788. doi: 10.1109/TSP.2022.3190626
    [19] BLUNT S D, COOK M R, and STILES J. Embedding information into radar emissions via waveform implementation[C]. 2010 International Waveform Diversity and Design Conference, Niagara Falls, Canada, 2010: 195–199.
    [20] O’CONNOR A C, KANTOR J M, and JAKABOSKY J. Joint equalization filters that mitigate waveform-diversity modulation of clutter[C]. 2016 IEEE Radar Conference (RadarConf), Philadelphia, USA, 2016: 1–6.
    [21] SUN Yinghao, FAN Huayu, WANG Jingdong, et al. Optimization of diverse PCFM waveforms and joint mismatched filters[J]. IEEE Transactions on Aerospace and Electronic Systems, 2021, 57(3): 1840–1854. doi: 10.1109/TAES.2021.3053105
    [22] DOERRY A W. Catalog of window taper functions for sidelobe control[R]. SAND2017-4042, 2017.
    [23] HOU Kaiyue, REN Wei, and LIU Quanhua. Majorization minimization based memetic algorithm for designing polyphase sequences with good correlation properties[C]. 2019 IEEE International Conference on Signal, Information and Data Processing (ICSIDP), Chongqing, China, 2019: 1–6.
  • 加载中
图(9) / 表(4)
计量
  • 文章访问数:  675
  • HTML全文浏览量:  434
  • PDF下载量:  197
  • 被引次数: 0
出版历程
  • 收稿日期:  2023-10-08
  • 修回日期:  2023-12-26
  • 网络出版日期:  2024-01-05
  • 刊出日期:  2024-02-28

目录

    /

    返回文章
    返回