基于时频域行聚类的抗间歇采样转发干扰方法

doi:10.12305/j.issn.1001-506X.2026.01.11

摘要/Abstract

摘要：

为进行间歇采样转发干扰抑制与识别，提出一种行聚类的方法，提取目标回波和干扰信号在时频域中分布的差异。首先，对匹配滤波之后的接收信号进行短时傅里叶变换获得信号的时频域分布。然后，对经过门限判决的时频域信息的频率维进行聚类以获得不同时域采样点上信号的带宽信息。根据获得的带宽信息判断此时域采样点中是否包含间歇采样转发干扰。最后，利用干扰识别结果构造时频域滤波器实现干扰抑制。仿真结果表明，经所提方法处理后，含有干扰的雷达接收信号的信干比得到显著提升，所提方法对间歇采样转发干扰具有良好的抑制效果。

关键词: 间歇采样转发干扰, 短时傅里叶变换, 聚类, 干扰抑制

Abstract:

To suppress interrupted sampling repeater jamming, a row clustering method is proposed, which exploits the differences in the time-frequency distributions between the target echo and the jamming signal. First, the short-time Fourier transform is applied to the received signal after matched filtering to obtain its time-frequency representation. Then, clustering is performed along the frequency dimension of the threshold-processed time-frequency data to extract the signal bandwidth information at different time-domain sampling points. Based on the obtained bandwidth characteristics, it is determined whether interrupted sampling repeater jamming is present in a given time-domain sample. Finally, a time-frequency filter is constructed by using the jamming identification results to suppress the interference. Simulation results demonstrate that the signal-to-interference ratio of the radar received signal contaminated by jamming is significantly improved after processing with the proposed method, validating its effectiveness in suppressing interrupted sampling repeater jamming.

Key words: interrupted sampling repeater jamming, short-time Fourier transform, clustering, interference suppression

中图分类号:

TN 974

钟琦, 魏绍仁, 贺志毅, 刘建欣. 基于时频域行聚类的抗间歇采样转发干扰方法[J]. 系统工程与电子技术, 2026, 48(1): 106-118.

Qi ZHONG, Shaoren WEI, Zhiyi HE, Jianxin LIU. Anti-interrupted sampling repeater jamming method based on row-clustering in time-frequency domain[J]. Systems Engineering and Electronics, 2026, 48(1): 106-118.

图/表 16

图1

图2

图3

图4

图5

图6

图7

表1

图8

图9

图10

图11

表2

图12

图13

图14

参考文献 32

1	WANG X S, LIU J C, ZHANG W M, et al. Mathematic principles of interrupted-sampling repeater jamming （ISRJ）[J]. Science in China Series F: Information Sciences, 2007, 50, 113- 123. doi: 10.1007/s11432-007-2017-y
2	SPARROW M J, CAKILO J. ECM techniques to counter pulse compression radar[P]. U.S.: US10877192, 2006-07-25.
3	FENG D J, XU L T, PAN X Y, et al. Jamming wideband radar using interrupted-sampling repeater[J]. IEEE Trans. on Aerospace and Electronic Systems, 2017, 55 (3): 1341- 1354.
4	WU Q H, ZHAO F, AI X F, et al. Two-dimensional blanket jamming against ISAR using nonperiodic ISRJ[J]. IEEE Sensors Journal, 2019, 19 (11): 4031- 4038. doi: 10.1109/JSEN.2019.2897363
5	SUN J W, WAN G C, SHI Q Z, et al. Interrupted sampling repeater signal based on phase modulation[C]//Proc. of the International Conference on Microwave and Millimeter Wave Technology, 2021.
6	WEI J Y, LI Y C, YANG R, et al. A nonuniformly distributed multipulse coded waveform to combat azimuth interrupted sampling repeater jamming in SAR[J]. IEEE Trans. on Aerospace and Electronic Systems, 2023, 59 (6): 9054- 9066. doi: 10.1109/TAES.2023.3313104
7	GUO T, ZHAN H H, SU X D, et al. Anti-interrupted sampling repeater jamming method for random pulse repetition interval and intra-pulse frequency agile radar[J]. IET Radar, Sonar & Navigation, 2023, 17 (12): 1796- 1811. doi: 10.1049/rsn2.12465
8	YU M Y, DONG S B, DUAN X Y, et al. A novel interference suppression method for interrupted sampling repeater jamming based on singular spectrum entropy function[J]. Sensors, 2019, 19(1): 136.
9	HANBAL S B S. Technique to counter improved active echo cancellation based on ISRJ with frequency shifting[J]. IEEE Sensors Journal, 2019, 19 (20): 9194- 9199. doi: 10.1109/JSEN.2019.2925004
10	LIU Y X, ZHANG Q, LIU Z D, et al. An anti-jamming method against interrupted sampling repeater jamming based on compressed sensing[J]. Sensors, 2022, 22 (6): 2239. doi: 10.3390/s22062239
11	ZHANG H N, WEI S P, WEI S, et al. Intensive interrupted sampling repeater jamming detection based on transformer-CFAR fusion detection model[J]. IEEE Trans. on Radar Systems, 2024, 2, 936- 949. doi: 10.1109/TRS.2024.3465017
12	WU M H, LI M L, SHI H R, et al. Using range-Doppler spectrum-based deep learning method to detect radar target in interrupted sampling repeater jamming[J]. IEEE Sensors Journal, 2023, 23 (23): 29084- 29096. doi: 10.1109/JSEN.2023.3286893
13	ZHOU C, LIU F F, LIU Q H. An adaptive transmitting scheme for interrupted sampling repeater jamming suppression[J]. Sensors, 2017, 17(11): 2480.
14	何金阳, 程子扬, 李绽蕾, 等. 低多普勒敏感的抗间歇采样转发干扰波形设计方法[J]. 系统工程与电子技术, 2023, 45(5) : 1333−1341.
	HE J Y, CHENG Z Y, LI Z L, et al. Low Doppler sensitive waveform design method against interrupted sampling repeater jamming[J]. Systems Engineering and Electronics, 2023, 45(5): 1333−1341.
15	ZHENG H, JIU B, LIU H W. Waveform design based ECCM scheme against interrupted sampling repeater jamming for wideband MIMO radar in multiple targets scenario[J]. IEEE Sensors Journal, 2022, 22 (2): 1652- 1669. doi: 10.1109/JSEN.2021.3131491
16	ZHOU K, LI D X, SU Y, etal. Joint design of transmit waveform and mismatch filter in the presence of interrupted sampling repeater jamming[J]. IEEE Signal Processing Letters, 2020, 27, 1610- 1614. doi: 10.1109/LSP.2020.3021667
17	ZHOU K, LI D X, QUAN S N, et al. SAR waveform and mismatched filter design for countering interrupted-sampling repeater jamming[J]. IEEE Trans. on Geoscience and Remote Sensing, 2022, 60 (5214514)
18	刘茜, 戴奉周. 抗间歇采样转发干扰的发射波形与失配滤波器联合优化算法[J]. 系统工程与电子技术, 2024, 46 (6): 1855- 1866.
	LIU Q, DAI F Z. A joint optimization algorithm for transmitting waveform and mismatched filter against interrupted sampling repeater jamming[J]. Systems Engineering and Electronics, 2024, 46 (6): 1855- 1866.
19	LIU Z X, QUAN Y H, DU S Y, et al. A novel ECCM scheme against interrupted-sampling repeater jamming using intra-pulse dual-parameter agile waveform[J]. Digital Signal Processing, 2022, 129 (103652)
20	牛闯, 林强, 段敏, 等. 脉内频率-时延捷变雷达抗间歇采样转发干扰方法[J]. 系统工程与电子技术, 2024, 46 (5): 1583- 1598.
	NIU C, LIN Q, DUAN M, et al. Anti-interrupted sampling and repeater jamming method for intra-pulse frequency and time delay agile radar[J]. Systems Engineering and Electronics, 2024, 46 (5): 1583- 1598.
21	杜思予, 刘智星, 吴耀君, 等. 频率捷变波形联合时频滤波器抗间歇采样转发干扰[J]. 系统工程与电子技术, 2023, 45 (12): 3818- 3827.
	DU S Y, LIU Z X, WU Y J, et al. Frequency agility waveform combined with time-frequency filter to suppress interrupted-sampling repeater jamming[J]. Systems Engineering and Electronics, 2023, 45 (12): 3818- 3827.
22	张彦, 叶春茂, 鲁耀兵, 等. 双曲调频波形抑制间歇采样转发干扰效果分析[J]. 系统工程与电子技术, 2021, 43 (11): 3169- 3176.
	ZHANG Y, YE C M, LU Y B, et al. Hyperbolic frequency modulated waveform for interrupted sampling repeater jamming suppression[J]. Systems Engineering and Electronics, 2021, 43 (11): 3169- 3176.
23	WU W Z, ZOU J W, CHEN J, et al. False-target recognition against interrupted-sampling repeater jamming based on integration decomposition[J]. IEEE Trans. on Aerospace and Electronic Systems, 2021, 57 (5): 2979- 2991. doi: 10.1109/TAES.2021.3068443
24	ZHOU C L, WANG C Y, ZHAO Y J, et al. A method against interrupted sampling repeater jamming based on genetic algorithm and compressed sensing reconstruction[J]. Journal of Physics: Conference Series, 2021, 1971
25	ZHOU C, LIU Q H, CHEN X L. Parameter estimation and suppression for DRFM-based interrupted sampling repeater jammer[J]. IET Radar, Sonar & Navigation, 2018, 12 (1): 56- 63. doi: 10.1049/iet-rsn.2017.0114
26	GONG S X, WEI X Z, LI X. ECCM scheme against interrupted sampling repeater jammer based on time-frequency analysis[J]. Journal of Systems Engineering and Electronics, 2014, 25 (6): 996- 1003. doi: 10.1109/JSEE.2014.00114
27	XIONG W, ZHANG G, LIU W B. Efficient filter design against interrupted sampling repeater jamming for wideband radar[J]. EURASIP Journal on Advances in Signal Processing, 2017,
28	CHEN J, WU W Z, XU S Y, et al. Band pass filter design against interrupted-sampling repeater jamming based on time-frequency analysis[J]. IET Radar, Sonar & Navigation, 2019, 13 (10): 1646- 1654. doi: 10.1049/iet-rsn.2018.5658
29	CHEN J, XU S Y, ZOU J W, et al. Interrupted-sampling repeater jamming suppression based on stacked bidirectional gated recurrent unit network and infinite training[J]. IEEE Access, 2019, 7, 107428- 107437. doi: 10.1109/ACCESS.2019.2932793
30	DUAN L N, DU S Y, QUAN Y H, et al. Interference countermeasure system based on time-frequency domain characteristics[J]. IEEE Journal on Miniaturization for Air and Space Systems, 2023, 4 (1): 76- 84. doi: 10.1109/JMASS.2022.3229499
31	KAY S M. Fundamentals of statistical signal processing: estimation theory[M]. Upper Saddle River: Prentice Hall, 1993: 182−189.
32	SHAN Y X, LI S, LI F X, et al. A density peaks clustering algorithm with sparse search and K-d tree[J]. IEEE Access, 2022, 10, 74883- 74901. doi: 10.1109/ACCESS.2022.3190958

参数	数值
发射信号带宽β / MHz	230
发射信号脉宽T / μs	20
接收机采样率f_s / MHz	256
ISRJ采样切片长度τ / μs	1
STFT窗长度L	128

干扰模式	信干比改善系数
直接转发	36.2
重复转发	33.7
前循环转发	27.9
后循环转发	33.6

[1]	刘哲, 韦常柱, 魏承, 浦甲伦. 飞行器系统动作聚类一体化设计方法[J]. 系统工程与电子技术, 2025, 47(8): 2558-2569.
[2]	董乔龙, 刘思琪, 张伟见, 张劲东. LFM-DPC抗间歇采样转发干扰波形集设计算法[J]. 系统工程与电子技术, 2025, 47(7): 2154-2164.
[3]	周凯, 李超, 李坤, 崔新风, 姚辉伟, 陈冬冬. 抗移频间歇采样转发干扰波形与非匹配滤波器设计方法[J]. 系统工程与电子技术, 2025, 47(7): 2194-2204.
[4]	巴晓辉, 温雯霏, 蔡伯根, 王剑, 姜维, 柴琳果. GNSS信号的线性调频干扰抑制方法[J]. 系统工程与电子技术, 2025, 47(7): 2339-2348.
[5]	赵正义, 南普龙. 基于短时傅里叶变换的高效空频自适应抗干扰方法[J]. 系统工程与电子技术, 2025, 47(6): 1778-1785.
[6]	向怡然, 李松亭, 陈利虎. 基于聚类算法的星载ADS-B波束自适应调整方法[J]. 系统工程与电子技术, 2025, 47(5): 1680-1686.
[7]	史朝鹏, 吴灏, 王万田, 朱轩, 张嘉毫, 孟进, 李强. 一种抗间歇采样转发干扰的脉内自适应凹陷LFM波形设计方法[J]. 系统工程与电子技术, 2025, 47(4): 1115-1126.
[8]	祁文娟, 刘志恒, 周绥平, 江澄, 节永师, 石磊. 基于改进TRACLUS算法的船舶轨迹聚类研究[J]. 系统工程与电子技术, 2025, 47(4): 1214-1221.
[9]	袁彰求, 杨朝旭, 荣海军. 面向定性与定量指标的轻量化高空飞艇效能评估方法[J]. 系统工程与电子技术, 2025, 47(3): 817-826.
[10]	安强, 叶春茂, 鲁耀兵, 张彦. 复杂场景下间歇采样转发干扰抑制算法[J]. 系统工程与电子技术, 2025, 47(2): 463-477.
[11]	尹中杰, 侯博, 靳啸龙, 范志良, 王海洋. 面向阵列天线抗干扰无人机的隐蔽诱骗方法[J]. 系统工程与电子技术, 2025, 47(2): 633-640.
[12]	温镇铭, 王国宏, 张亮, 于洪波. 基于非最优阶次FrFT的间歇采样转发干扰抑制方法[J]. 系统工程与电子技术, 2025, 47(11): 3635-3643.
[13]	余文瞾, 乔靖超, 杜哲, 邢著楷, 万芯源. 基于聚类优化算法的多无人艇协同任务规划[J]. 系统工程与电子技术, 2025, 47(11): 3708-3720.
[14]	唐曦, 李文海, 唐贞豪, 李睿峰, 李根. 基于DBSCAN和CGAN的不平衡数据过采样方法[J]. 系统工程与电子技术, 2025, 47(11): 3739-3753.
[15]	尚李娜, 董玫, 陈伯孝. 非均匀杂波环境下的低空多目标跟踪算法[J]. 系统工程与电子技术, 2025, 47(10): 3218-3227.