FSUNet:基于结构化状态建模的雷达脉冲流分选方法

周叶剑 冯继元 魏少鹏 魏嵩

周叶剑, 冯继元, 魏少鹏, 等. FSUNet:基于结构化状态建模的雷达脉冲流分选方法[J]. 雷达学报(中英文), 待出版. doi: 10.12000/JR26044
引用本文: 周叶剑, 冯继元, 魏少鹏, 等. FSUNet:基于结构化状态建模的雷达脉冲流分选方法[J]. 雷达学报(中英文), 待出版. doi: 10.12000/JR26044
ZHOU Yejian, FENG Jiyuan, WEI Shaopeng, et al. FSUNet: a radar pulse stream sorting method based on structured state modeling[J]. Journal of Radars, in press. doi: 10.12000/JR26044
Citation: ZHOU Yejian, FENG Jiyuan, WEI Shaopeng, et al. FSUNet: a radar pulse stream sorting method based on structured state modeling[J]. Journal of Radars, in press. doi: 10.12000/JR26044

FSUNet:基于结构化状态建模的雷达脉冲流分选方法

DOI: 10.12000/JR26044 CSTR: 32380.14.JR26044
基金项目: 国家自然科学基金(62471438, 62301612),山东省青年科技人才托举工程(SDAST2025 QTA099),山东省自然科学基金(ZR2024MF096, ZR2023QF004),中央高校基本科研基金(26CX07006A)
详细信息
    作者简介:

    周叶剑,副教授,主要研究方向为空间态势感知、雷达成像智能解译

    冯继元,硕士生,主要研究方向为雷达信号参数估计、深度学习

    魏少鹏,副教授,主要研究方向为雷达探测与成像、雷达干扰对抗

    魏 嵩,讲师,主要研究方向为雷达信号检测、雷达干扰对抗

    通讯作者:

    魏少鹏 spwei@upc.edu.cn

    责任主编:陈展野 Corresponding Editor: CHEN Zhanye

  • 中图分类号: TN510

FSUNet: A Radar Pulse Stream Sorting Method Based on Structured State Modeling

Funds: The National Natural Science Foundation of China (62471438, 62301612), Young Talent of Liftingengineering for Science and Technology in Shandong (SDAST2025 QTA099), The Natural Science Foundation of Shandong Province (ZR2024MF096, ZR2023QF004), The Fundamental Research Funds for the Central Universities (26CX07006A)
More Information
  • 摘要: 雷达辐射源信号分选旨在从交叠的脉冲流中分离出各辐射源对应的脉冲序列,是雷达信号侦察处理的关键环节,其结果将直接影响后续体制识别、行为分析与威胁评估等任务的准确性。现有方法通常以脉冲描述字作为主要特征,并通过不同辐射源脉冲在参数空间中的差异实现归属判别。然而,在复杂电磁环境下,脉冲描述字的估计可靠性极易受噪声、测量误差和波形混叠等因素影响,导致不同辐射源脉冲的特征区分度下降,从而制约了分选性能的进一步提升。针对上述问题,该文提出一种基于结构化状态建模的端到端脉冲流分选网络 FSUNet。该网络直接以观测窗口内的脉冲流作为输入,在统一框架下联合建模脉内局部形态特征与脉间时序依赖关系,实现从原始信号到分选结果的端到端映射。具体而言,FSUNet 首先利用多尺度自适应偏移机制提取脉冲边界与局部瞬态特征;随后通过结构化状态空间模块对跨脉冲的上下文依赖进行递推建模,以增强长程时序表征能力和分选结果的一致性;最后结合跳跃连接与注意力融合机制,自适应整合局部细节与全局状态信息。实验结果表明,在多种分选场景下,FSUNet 能够在保持计算效率的同时取得较高的分选精度和鲁棒性。

     

  • 图  1  雷达脉冲观测与状态变化过程

    Figure  1.  Radar pulse observation and state variation process

    图  2  FSUNet建模框架

    Figure  2.  Structured state sodeling framework of FSUNet

    图  3  FSUNet网络结构

    Figure  3.  Architecture of FSUNet

    图  4  局部特征提取模块

    Figure  4.  Local feature extraction module

    图  5  全局状态建模模块

    Figure  5.  Global state modeling module

    图  6  脉冲分选结果

    Figure  6.  Radar pulse sorting result

    表  1  仿真数据集参数设置

    Table  1.   Parameter settings for simulated dataset generation

    场景设置 参数名称 参数设置
    全场景
    基础参数
    带宽B 3 MHz
    观测窗口$ {T}_{\text{obs}} $ 3 ms
    信噪比$ \text{SNR} $ $ \mathrm{U}(0{,}10) \;\text{dB} $
    脉冲宽度 $ {T}_{p} $ $ \mathrm{U}(60{,}150) \;\text{μs} $
    采样率$ {f}_{\text{s}} $ 6 MHz
    辐射源数目M $ [2{,}5] $
    幅度缩放$ {A}_{m} $ $ \mathrm{U}(0.2{,}1.0) $
    基准$ \text{PRI}{T}_{0} $ $ \mathrm{U}(400{,}1000) \;\text{μs} $
    $ \text{PW} $捷变区间1 $ \mathrm{U}(60{,}100) \;\text{μs} $
    $ \text{PW} $捷变区间2 $ \mathrm{U}(100{,}150)\; \text{μs} $

    PRI调度
    类型
    固定$ \text{PRI} $ $ {T}_{\text{PRI},n}={T}_{0} $
    随机抖动$ \text{PRI} $ $ {T}_{\text{PRI},n}={T}_{0}(1+{\epsilon }_{n}) $
    滑变$ \text{PRI} $ $ {T}_{\text{PRI},n}={T}_{0}+(n\text{mod}{L}_{c}){\varDelta }T $
    参差$ \text{PRI} $ $ {T}_{\text{PRI},n}={T}_{0}(1+{\alpha }_{n\text{mod}{{L}_{s}}}) $
    正弦调制$ \text{PRI} $ $ {T}_{\text{PRI},n}={T}_{0}[1+\beta \sin ({2\text{π}}n/{L}_{m})] $


    PRI调制
    参数
    随机抖动$ {\epsilon }_{n} $ $ {\epsilon }_{n}\sim \text{U}(-\rho ,\rho ) $
    抖动幅度$ \rho $ $ \mathrm{U}(0.05{,}0.25) $
    滑变周期$ {L}_{c} $ $ \{5,\cdots ,15\} $
    滑变步进$ {\varDelta }T/{T}_{0} $ $ \mathrm{U}(0.02{,}0.08) $
    参差周期$ {L}_{s} $ $ \{2{,}3,4\} $
    参差偏移系数$ \alpha $ $ \mathrm{U}(0.10{,}0.40) $
    正弦调制周期$ {L}_{m} $ $ \mathrm{U}(5{,}25) $
    正弦调制幅度$ \beta $ $ \mathrm{U}(0.10{,}0.40) $
    脉内调制 脉内调制 $ \text{LFM}、\text{CW}、\text{NLFM} $
    相位编码 $ \text{Barker}、\text{Frank}、\text{P4} $
    下载: 导出CSV

    表  2  不同任务场景下的模型性能

    Table  2.   Model performance under different task scenarios

    任务场景 实验设置 IoU Sim Pre Rec F1
    脉冲分选 脉冲分选 0.845 0.920 0.902 0.931 0.916
    堆叠检测 0.949 0.974 0.974 0.967 0.971
    边缘检测 0.827 0.904 0.912 0.905 0.908
    脉内结构变化 脉宽变化 0.861 0.926 0.916 0.933 0.925
    混合调制 0.803 0.893 0.896 0.886 0.891
    混合相位 0.831 0.910 0.898 0.918 0.908
    脉间时序变化 $ \text{PRI} $ 变化 0.800 0.892 0.906 0.873 0.889
    下载: 导出CSV

    表  3  不同SNR下的模型性能指标

    Table  3.   Performance metrics under different SNR levels

    SNR (dB) IoU SIM Pre Rec F1
    10 0.893 0.946 0.931 0.956 0.943
    8 0.887 0.942 0.923 0.958 0.940
    6 0.883 0.940 0.926 0.950 0.938
    4 0.888 0.943 0.928 0.954 0.941
    2 0.854 0.922 0.912 0.931 0.921
    0 0.845 0.920 0.902 0.931 0.916
    下载: 导出CSV

    表  4  不同模型性能对比

    Table  4.   Performance comparison of different models

    模型 参数量 GFLOPs IoU Sim Pre Rec F1
    FSUNet 1,535,433 1.14 0.845 0.920 0.902 0.931 0.916
    Dual-Path RNN[24] 1,379,526 3.48 0.733 0.850 0.831 0.861 0.846
    X-TF-GridNet[25] 3,335,562 1.60 0.707 0.831 0.799 0.859 0.828
    CAUnet[26] 2,755,883 2.76 0.650 0.792 0.774 0.804 0.788
    SepReformer[27] 4,556,118 16.14 0.840 0.918 0.894 0.925 0.909
    U-Net[35] 271,216 2.76 0.477 0.642 0.647 0.633 0.640
    U2-Net[36] 14,716,985 9.22 0.601 0.759 0.735 0.778 0.756
    DCN[37] 707,236 4.86 0.512 0.687 0.676 0.689 0.683
    VoxResNet[38] 221,765 0.58 0.637 0.784 0.753 0.805 0.778
    下载: 导出CSV

    表  5  消融实验结果

    Table  5.   Results of ablation experiments

    任务 实验设置 IoU Sim Pre Rec F1
    脉冲分选 FSUNet 0.845 0.920 0.902 0.931 0.916
    删除可变形卷积模块 0.781 0.880 0.847 0.909 0.877
    删除多尺度偏移量预测 0.810 0.897 0.873 0.917 0.895
    删除全局状态建模模块 0.604 0.756 0.743 0.763 0.753
    用Transformer 代替全局建模 0.780 0.881 0.864 0.889 0.877
    删除注意力融合模块 0.640 0.786 0.707 0.871 0.780
    边缘检测 FSUNet 0.827 0.904 0.912 0.905 0.908
    删除可变形卷积模块 0.757 0.851 0.852 0.835 0.843
    删除全局状态建模模块 0.817 0.897 0.898 0.881 0.889
    下载: 导出CSV
  • [1] 隋金坪, 刘振, 刘丽, 等. 雷达辐射源信号分选研究进展[J]. 雷达学报, 2022, 11(3): 418–433. doi: 10.12000/JR21147.

    SUI Jinping, LIU Zhen, LIU Li, et al. Progress in radar emitter signal deinterleaving[J]. Journal of Radars, 2022, 11(3): 418–433. doi: 10.12000/JR21147.
    [2] WEI Shaopeng, HAN Haoyu, WEI Song, et al. ISRJ suppression using joint morphological component analysis and signal reconstruction based on jamming parameters estimation[J]. IEEE Transactions on Aerospace and Electronic Systems, 2026, 62: 3773–3797. doi: 10.1109/TAES.2025.3648973.
    [3] CHENG Wenhai, ZHANG Qunying, DONG Jiaming, et al. An enhanced algorithm for deinterleaving mixed radar signals[J]. IEEE Transactions on Aerospace and Electronic Systems, 2021, 57(6): 3927–3940. doi: 10.1109/TAES.2021.3087832.
    [4] LLOYD S. Least squares quantization in PCM[J]. IEEE Transactions on Information Theory, 1982, 28(2): 129–137. doi: 10.1109/TIT.1982.1056489.
    [5] ESTER M, KRIEGEL H P, SANDER J, et al. A density-based algorithm for discovering clusters in large spatial databases with noise[C]. Second International Conference on Knowledge Discovery and Data Mining, Portland, USA, 1996: 226–231.
    [6] BEZDEK J C. Pattern Recognition with Fuzzy Objective Function Algorithms[M]. New York, USA: Springer, 1981: 1–272. doi: 10.1007/978-1-4757-0450-1.
    [7] RODRIGUEZ A and LAIO A. Clustering by fast search and find of density peaks[J]. Science, 2014, 344(6191): 1492–1496. doi: 10.1126/science.1242072.
    [8] WILKINSON D R and WATSON A W. Use of metric techniques in ESM data processing[J]. IEE Proceedings F (Communications, Radar and Signal Processing), 1985, 132(4): 229–232. doi: 10.1049/ip-f-1.1985.0055.
    [9] MARDIA H K. New techniques for the deinterleaving of repetitive sequences[J]. IEE Proceedings F (Radar and Signal Processing), 1989, 136(4): 149–154. doi: 10.1049/ip-f-2.1989.0025.
    [10] MILOJEVIĆ D J and POPOVIĆ B M. Improved algorithm for the deinterleaving of radar pulses[J]. IEE Proceedings F (Radar and Signal Processing), 1992, 139(1): 98–104. doi: 10.1049/ip-f-2.1992.0012.
    [11] NELSON D. Special purpose correlation functions for improved signal detection and parameter estimation[C]. 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing, Minneapolis, USA, 1993: 73–76. doi: 10.1109/ICASSP.1993.319597.
    [12] LI Ziying, FU Xiongjun, DONG Jian, et al. Radar signal sorting via graph convolutional network and semi-supervised learning[J]. IEEE Signal Processing Letters, 2025, 32: 421–425. doi: 10.1109/LSP.2024.3519884.
    [13] LANG Ping, FU Xiongjun, DONG Jian, et al. A novel radar signals sorting method via residual graph convolutional network[J]. IEEE Signal Processing Letters, 2023, 30: 753–757. doi: 10.1109/LSP.2023.3287404.
    [14] ZHOU Zixiang, FU Xiongjun, DONG Jian, et al. Radar signal sorting with multiple self-attention coupling mechanism based Transformer network[J]. IEEE Signal Processing Letters, 2024, 31: 1765–1769. doi: 10.1109/LSP.2024.3421948.
    [15] CHEN Hongzhuo, QI Liangang, GUO Qiang, et al. A multi-view attention hypergraph neural network for radar emitter signal sorting[J]. IEEE Signal Processing Letters, 2025, 32: 3754–3758. doi: 10.1109/LSP.2025.3602393.
    [16] WANG Chao, SUN Liting, LIU Zhangmeng, et al. A radar signal deinterleaving method based on semantic segmentation with neural network[J]. IEEE Transactions on Signal Processing, 2022, 70: 5806–5821. doi: 10.1109/TSP.2022.3229630.
    [17] LIU Zhangmeng. Pulse deinterleaving for multifunction radars with hierarchical deep neural networks[J]. IEEE Transactions on Aerospace and Electronic Systems, 2021, 57(6): 3585–3599. doi: 10.1109/TAES.2021.3079571.
    [18] NUHOGLU M A, ALP Y K, ULUSOY M E C, et al. Image segmentation for radar signal deinterleaving using deep learning[J]. IEEE Transactions on Aerospace and Electronic Systems, 2023, 59(1): 541–554. doi: 10.1109/TAES.2022.3188225.
    [19] GUO Qiang, HUANG Shuai, QI Liangang, et al. A radar signal deinterleaving method based on complex network and Laplacian graph clustering[J]. IEEE Signal Processing Letters, 2024, 31: 2580–2584. doi: 10.1109/LSP.2024.3461656.
    [20] HE Chao, ZHANG Lei, WEI Song, et al. Multifunction radar working mode recognition with unsupervised hierarchical modeling and functional semantics embedding based LSTM[J]. IEEE Sensors Journal, 2024, 24(14): 22698–22710. doi: 10.1109/JSEN.2024.3406680.
    [21] HYVÄRINEN A and OJA E. Independent component analysis: Algorithms and applications[J]. Neural Networks, 2000, 13(4/5): 411–430. doi: 10.1016/S0893-6080(00)00026-5.
    [22] LEE D D and SEUNG H S. Learning the parts of objects by non-negative matrix factorization[J]. Nature, 1999, 401(6755): 788–791. doi: 10.1038/44565.
    [23] LUO Yi and MESGARANI N. TasNet: Time-domain audio separation network for real-time, single-channel speech separation[C]. 2018 IEEE International Conference on Acoustics, Speech and Signal Processing, Calgary, Canada, 2018: 696–700. doi: 10.1109/ICASSP.2018.8462116.
    [24] LUO Yi, CHEN Zhuo, and YOSHIOKA T. Dual-path RNN: Efficient long sequence modeling for time-domain single-channel speech separation[C]. 2020 IEEE International Conference on Acoustics, Speech and Signal Processing, Barcelona, Spain, 2020: 46–50. doi: 10.1109/ICASSP40776.2020.9054266.
    [25] HAO Fengyuan, LI Xiaodong, and ZHENG Chengshi. X-TF-GridNet: A time–frequency domain target speaker extraction network with adaptive speaker embedding fusion[J]. Information Fusion, 2024, 112: 102550. doi: 10.1016/j.inffus.2024.102550.
    [26] ZHOU Yejian, ZHENG Ye, WEI Shaopeng, et al. CAU-Net: A convolutional attention U-network for radar signal deinterleaving[J]. IEEE Communications Letters, 2024, 28(7): 1569–1573. doi: 10.1109/LCOMM.2024.3404957.
    [27] SHIN U H, LEE S, KIM T, et al. Separate and reconstruct: Asymmetric encoder-decoder for speech separation[C]. 38th International Conference on Neural Information Processing Systems, Vancouver, Canada, 2024: 1655. doi: 10.52202/079017-1655.
    [28] LUO Zhenghao, YUAN Shuo, SHANG Wenxiu, et al. Automatic reconstruction of radar pulse repetition pattern based on model learning[J]. Digital Signal Processing, 2024, 152: 104596. doi: 10.1016/j.dsp.2024.104596.
    [29] 李廉林, 周小阳, 崔铁军. 结构化信号处理理论和方法的研究进展[J]. 雷达学报, 2015, 4(5): 491–502. doi: 10.12000/JR15111.

    LI Lianlin, ZHOU Xiaoyang, and CUI Tiejun. Perspectives on theories and methods of structural signal processing[J]. Journal of Radars, 2015, 4(5): 491–502. doi: 10.12000/JR15111.
    [30] BRAND D and ZAFIROPULO P. On communicating finite-state machines[J]. Journal of the ACM (JACM), 1983, 30(2): 323–342. doi: 10.1145/322374.322380.
    [31] 王俊, 郑彤, 雷鹏, 等. 深度学习在雷达中的研究综述[J]. 雷达学报, 2018, 7(4): 395–411. doi: 10.12000/JR18040.

    WANG Jun, ZHENG Tong, LEI Peng, et al. Study on deep learning in radar[J]. Journal of Radars, 2018, 7(4): 395–411. doi: 10.12000/JR18040.
    [32] KALMAN R E. Mathematical description of linear dynamical systems[J]. Journal of the Society for Industrial and Applied Mathematics Series A Control, 1963, 1(2): 152–192. doi: 10.1137/0301010.
    [33] DAO T and GU A. Transformers are SSMs: Generalized models and efficient algorithms through structured state space duality[C]. 41st International Conference on Machine Learning, Vienna, Austria, 2024: 10041–10071.
    [34] CHI Kun, SHEN Jihong, LI Yan, et al. Multi-function radar signal sorting based on complex network[J]. IEEE Signal Processing Letters, 2021, 28: 91–95. doi: 10.1109/LSP.2020.3044259.
    [35] RONNEBERGER O, FISCHER P, and BROX T. U-Net: Convolutional networks for biomedical image segmentation[C]. 18th International Conference on Medical Image Computing and Computer-Assisted Intervention, Munich, Germany, 2015: 234–241. doi: 10.1007/978-3-319-24574-4_28.
    [36] QIN Xuebin, ZHANG Zichen, HUANG Chenyang, et al. U2-Net: Going deeper with nested U-structure for salient object detection[J]. Pattern Recognition, 2020, 106: 107404. doi: 10.1016/j.patcog.2020.107404.
    [37] DAI Jifeng, QI Haozhi, XIONG Yuwen, et al. Deformable convolutional networks[C]. 2017 IEEE International Conference on Computer Vision, Venice, Italy, 2017: 764–773. doi: 10.1109/ICCV.2017.89.
    [38] CHEN Hao, DOU Qi, YU Lequan, et al. VoxResNet: Deep voxelwise residual networks for brain segmentation from 3D MR images[J]. NeuroImage, 2018, 170: 446–455. doi: 10.1016/j.neuroimage.2017.04.041.
  • 加载中
图(6) / 表(5)
计量
  • 文章访问数: 
  • HTML全文浏览量: 
  • PDF下载量: 
  • 被引次数: 0
出版历程
  • 收稿日期:  2026-02-12

目录

    /

    返回文章
    返回