基于参数估计的SMSP干扰解析对消方法

doi:10.12305/j.issn.1001-506X.2025.12.06

摘要/Abstract

摘要：

为了抑制针对线性调频雷达的频谱弥散干扰，提出一种快速干扰抑制方法。首先，利用滑动快速傅里叶变换算法估计干扰脉冲到达时间并提取脉冲包络。然后，利用分数阶傅里叶变换估计干扰子脉冲个数，并基于此分别构建参考干扰子脉冲信号和参考干扰信号进行匹配滤波以估算干扰时延、幅值和相位。最后，基于上述参数估计结果重构干扰信号，并通过回波与重构干扰信号对消即可抑制干扰。相较于传统方法，所提方法具有更高的计算效率。仿真验证了所提方法的有效性和鲁棒性。

关键词: 频谱弥散干扰, 干扰对消, 参数估计, 匹配滤波

Abstract:

In order to suppress the smeared spectrum jamming on the linear frequency modulation radar, a fast jamming suppression method is proposed. Firstly, the sliding fast Fourier transform algorithm is used to estimate the arrival time of the jamming pulse and extract the pulse envelope. Secondly, fractional Fourier Transform is used to estimate the number of jamming sub-pulse, and the jamming delay, amplitude and phase are estimated by matched filtering the reference sub-pulse signal and reference jamming signal, which are constructed by using the number of sub-pulses. Finally, the jamming signal is reconstructed based on the parameter estimation results mentioned above, and the jamming can be suppressed by canceling the echo with the reconstructed interference signal. Compared with traditional methods, the proposed method has higher computational efficiency. Simulation results verified the effectiveness and robustness of the method proposed.

Key words: smeared spectrum (SMSP) jamming, jamming cancellation, parameter estimation, matched filtering

中图分类号:

TN 957.51

徐宙, 刘连照, 周凯, 王道酉, 马晖. 基于参数估计的SMSP干扰解析对消方法[J]. 系统工程与电子技术, 2025, 47(12): 4048-4056.

Zhou XU, Lianzhao LIU, Kai ZHOU, Daoyou WANG, Hui MA. SMSP jamming analysis and cancellation methods based on parameter estimation[J]. Systems Engineering and Electronics, 2025, 47(12): 4048-4056.

图/表 16

图1

图2

图3

表1

图4

图5

图6

图7

图8

图9

图10

图11

图12

图13

图14

表2

参考文献 30

1	SPARROW M J, CAKILO J. ECM techniques to counter pulse compression radar[P]. US: US20040877192, 2006-07-25.
2	WANG X G, CHEN H, LIU W J, et al. Echo preprocessing-based smeared spectrum interference suppression[J]. Electronics, 2023, 12 (17): 3690. doi: 10.3390/electronics12173690
3	GE M M, CUI G L, KONG L J. Mainlobe jamming suppression for distributed radar via joint blind source separation[J]. IET Radar, Sonar & Navigation, 2019, 13 (7): 1189−1199.
4	LIU Z H, LIANG W, FU N, et al. Main lobe deceptive jamming suppression based on blind source separation and energy detection for monopulse radar[J]. IET Radar, Sonar & Navigation, 2024, 18(11): 2170−2181.
5	HAN X F, HE H F, ZHANG Q, et al. Main-lobe jamming suppression method for phased array netted radar based on MSNR-BSS[J]. IEEE Sensors Journal, 2022, 22 (23): 22972- 22984. doi: 10.1109/JSEN.2022.3213986
6	CHEN X Y, CHEN B X, Anti-jamming approach based on radar transmitted waveform matching[J]. EURASIP Journal on Advances in Signal Processing, 2021, 2021: 59.
7	ZHOU H P, WANG L, MA M H, et al. Compound radar jamming recognition based on signal source separation[J]. Signal Processing, 2024, 214, 109246. doi: 10.1016/j.sigpro.2023.109246
8	WAN P F, LIAO G S, XU J W, et al. SMSP mainlobe jamming suppression with FDA-MIMO radar based on FastICA algorithm[J]. Sensors, 2023, 23 (12): 5619. doi: 10.3390/s23125619
9	LI X, WANG C Y, YUAN H. et al. Smeared spectrum jamming suppression based on time unit analysis and polarization cancellation[J]. Cluster Computing, 2019, 22 (6): 14367- 14375.
10	周长霖, 王春阳, 宫健, 等. 基于最大熵法和遗传算法的SMSP干扰对抗方法[J]. 北京航空航天大学学报, 2022, 48 (3): 447- 453.
	ZHOU C L, WANG C Y, GONG J, et al. SMSP jamming countermeasure method based on maximum entropy method and genetic algorithm[J]. Journal of Beijing University of Aeronautics and Astronautics, 2022, 48 (3): 447- 453.
11	原慧, 王春阳, 安磊, 等. 基于信号重构的频谱弥散干扰抑制方法[J]. 系统工程与电子技术, 2017, 39 (5): 960- 967.
	YUAN H, WANG C Y, AN L, et al. Smeared spectrum jamming suppression method based on signal reconstruction[J]. Systems Engineering and Electronics, 2017, 39 (5): 960- 967.
12	李欣, 王春阳, 原慧, 等. 基于干扰重构和峭度最大化的SMSP干扰抑制方法[J]. 北京航空航天大学学报, 2018, 44 (6): 1176- 1184.
	LI X, WANG C Y, YUAN H, et al. SMSP jamming suppression method based on jamming reconstruction and kurtosis maximum[J]. Journal of Beijing University of Aeronautics and Astronautics, 2018, 44 (6): 1176- 1184.
13	余康林, 匡华星, 王超宇. 基于干扰重构和分数阶滤波的频谱弥散干扰抑制[J]. 电讯技术, 2021, 61 (11): 1391- 1397.
	YU K L, KUANG H X, WANG C Y. Smeared spectrum jamming suppression based on jamming reconstruction and fractional filtering[J]. Telecommunication Engineering, 2021, 61 (11): 1391- 1397.
14	XU J C, LIU Q H, CHANG S Q, et al. A novel TOA estimation method for unknown modulated pulse[C]//Proc. of the CIE International Conference on Radar, 2016.
15	SOBRON I, LANDA I, EIZMENDI I, et al. Adaptive TOA estimation with imperfect LOS and NLOS knowledge in UWB positioning systems[C]//Proc. of the IEEE Sensors, 2020.
16	ZHU Y Y, ZHANG S N, ZHAO H C, et al. Suppression of noise amplitude modulation interference in triangle frequency modulation detector based on FrFT[J]. IEEE Sensors Journal, 2021, 21 (14): 16107- 1611. doi: 10.1109/JSEN.2021.3075764
17	ELGAMEL S A, SORAGHAN J J. Using EMD-FrFT filtering to mitigate very high power interference in chirp tracking radars[J]. IEEE Signal Processing Letters, 2011, 18 (4): 263- 266. doi: 10.1109/LSP.2011.2115239
18	ZHANG Y X, DING K. Research on SMSP jamming suppression based on matched filtering in FrFT domain[C]//Proc. of the 7th International Conference on Computer Information Science and Application Technology, 2024: 963−966.
19	LEI Z S, QU Q Z, ZHANG L, et al. Main lobe deception jamming suppression approach via SVD and FrFT for LFM radars[J]. IEEE Trans. on Aerospace and Electronic Systems, 2024, 60 (3): 2948- 2965. doi: 10.1109/TAES.2024.3357029
20	ZENG L, CHEN H, ZHANG Z J, et al. Cutting compensation in the time-frequency domain for smeared spectrum jamming suppression[J]. Electronics, 2022, 11 (13): 1970. doi: 10.3390/electronics11131970
21	COWELL D, FREEAR S. Separation of overlapping linear frequency modulated （LFM） signals using the fractional Fourier transform[J]. IEEE Trans. on Ultrasonics, Ferroelectrics, and Frequency Control, 2010, 57 (10): 2324- 2333. doi: 10.1109/TUFFC.2010.1693
22	ZHOU H. , WANG L, GUO Z Y. Recognition of radar compound jamming based on convolutional neural network[J]. IEEE Trans. on Aerospace and Electronic Systems, 2023, 59 (6): 7380- 7394. doi: 10.1109/TAES.2023.3288080
23	WU C Z, CHEN B X , YANG M L, et al. A method of parameter estimation and suppression for smeared spectrum jamming[C]//Proc. of the 5th International Conference on Frontiers of Signal Processing, 2019: 149−153.
24	WU C Z, CHEN B X, YANG, M L, et al. A study on parameter estimation and suppression for smeared spectrum jamming based on short-time Fourier transform[J]. EURASIP Journal on Wireless Communications and Networking, 2020, 2020, 115. doi: 10.1186/s13638-020-01728-y
25	LU L, GAO M G. An improved sliding matched filter method for interrupted sampling repeater jamming suppression based on jamming reconstruction[J]. IEEE Sensors Journal, 2022, 22 (10): 9675- 9684. doi: 10.1109/JSEN.2022.3159561
26	WEN Z M, WANG G H, YU H B. Suppression method for smeared spectrum jamming based on Lv’s distribution combined with biorthogonal Fourier transform[EB/OJ]. [2024-10-22]. https://doi.org/10.1155/2024/7070078.
27	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.
28	于雷, 刘一品, 位寅生. 基于信干噪比最大化的盲提取抗主瓣干扰方法[J]. 系统工程与电子技术, 2024, 46 (9): 2968- 2979.
	YU L, LIU Y P, WEI Y S. Anti-mainlobe jamming method via blind extraction based on maximizing SINR[J]. Systems Engineering and Electronics, 2024, 46 (9): 2968- 2979.
29	OZAKTAS H, ORHAN A, KUTAY M A, et al. Digital computation of the fractional Fourier transform[J]. IEEE Trans. Signal Process, 1996, 44 (9): 2141- 2150. doi: 10.1109/78.536672
30	BAHER S H. Countering self-protection smeared spectrum jamming against chirp radars[J]. IET Radar, Sonar & Navigation, 2021, 15(4): 382−389.

信号类型	调频斜率/（Hz/s）	脉冲个数	时延/μs	初始相位/rad
目标回波	2×10¹¹	1	100	π/3
SMSP干扰	1×10¹²	5	110	π/6

方法	平均时间/s
文献[12]	0.427
文献[13]	1.796
本文方法	0.164

[1]	高宁, 许枫, 杨娟. 基于FrFT的MIMO声纳水下运动小目标参数估计算法[J]. 系统工程与电子技术, 2025, 47(9): 2797-2807.
[2]	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.
[3]	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.
[4]	张游, 黄永辉, 李志豪, 崔天舒, 王竹刚. 基于Savitzky-Golay滤波和互模糊函数的时频差参数估计算法[J]. 系统工程与电子技术, 2025, 47(5): 1395-1403.
[5]	张军, 许京伟, 王柯祎, 廖桂生, 李军, 蔡兴雨. 相干FDA雷达收发联合多波束方法[J]. 系统工程与电子技术, 2025, 47(5): 1487-1494.
[6]	赵忠凯, 关泽越, 李虎. 基于样条插值的非线性自干扰对消技术[J]. 系统工程与电子技术, 2024, 46(9): 2916-2925.
[7]	刘振钰, 刘晓斌, 赵锋, 徐志明, 谢艾伦, 肖顺平. 基于ACM的LFM信号抗瞄准式干扰方法[J]. 系统工程与电子技术, 2024, 46(8): 2546-2553.
[8]	张明兴, 时巧, 余涛, 周正春, 崔国龙. 抗速度欺骗干扰的雷达发射波形与接收滤波器联合设计方法[J]. 系统工程与电子技术, 2024, 46(8): 2581-2591.
[9]	付卫红, 周雨菲, 张鑫钰, 刘乃安. 基于参数估计和Kalman滤波的单通道盲源分离算法[J]. 系统工程与电子技术, 2024, 46(8): 2850-2856.
[10]	孟硕, 孟晨, 王成. 基于Z变换和改进FRI的LFM信号参数估计方法研究[J]. 系统工程与电子技术, 2024, 46(7): 2228-2236.
[11]	谢前朋, 杜奕航, 孙兵, 闫华, 潘小义, 赵锋. 基于降维变换的低复杂度双基地EMVS-MIMO雷达高分辨多维参数估计[J]. 系统工程与电子技术, 2024, 46(6): 1899-1907.
[12]	王海英, 张群英, 成文海, 董家铭, 刘小军. LPI雷达信号调制识别及参数估计研究进展[J]. 系统工程与电子技术, 2024, 46(6): 1908-1924.
[13]	陈汪翔, 田鹤, 王吉儿, 田单. 基于散射模型的球头锥目标几何结构参数估计[J]. 系统工程与电子技术, 2024, 46(3): 892-897.
[14]	王栗沅, 何华锋, 韩晓斐, 何耀民, 李震. 宽带相干信号DOA和极化参数联合估计方法[J]. 系统工程与电子技术, 2024, 46(3): 805-813.
[15]	朱虹宇, 黄敬健, 王超, 王延祺, 袁乃昌. 全双工干扰机的自干扰对消和目标回波削弱方法研究[J]. 系统工程与电子技术, 2024, 46(12): 3939-3947.