抗间歇采样转发干扰的认知恒模波形设计方法

doi:10.12305/j.issn.1001-506X.2021.09.10

摘要/Abstract

摘要：

间歇采样转发干扰(interrupted sampling repeater jamming, ISRJ)是一种相干干扰, 对雷达信号的干扰效果表现为欺骗性。针对ISRJ匹配滤波后形成的高栅瓣问题, 研究了低集成旁瓣电平(integrated sidelobe level, ISL)的波形设计方法。考虑到雷达发射信号的恒模约束, 以最小化ISL为目标函数建立优化问题, 由于该问题包含非凸四阶目标函数和非凸约束, 难以得到闭式解, 因此设计了一种加速优化极小化(majorization-minimization, MM)方法进行求解。最后, 通过仿真实验和已有算法进行对比, 验证了所设计的波形能降低干扰栅瓣, 有效对抗ISRJ。

关键词: 间歇采样, 干扰对抗, 恒模波形设计, 加速优化极小化方法

Abstract:

Interrupted sampling repeater jamming (ISRJ) is a kind of coherent interference and its effect on radar signals is deceptive. To solve the high grating lobe problem formed by ISRJ through matched filtering, the waveform design method of low integrated sidelobe level (ISL) is studied. Considering the constant modulus constraint of the radar transmitting signal, the optimization problem is established by minimizing ISL as the objective function. Since the problem involves a nonconvex fourth-order objective and a nonconvex constraint, it is difficult to obtain a closed-form solution. Therefore, an accelerated majorization-minimization (MM) method is designed to solve the problem. Finally, compared with the existing algorithm, the simulation results show that the waveform designed can reduce the jamming's grating lobes and counter ISRJ effectively.

Key words: interrupted-sampling, jamming countermeasure, constant modulus waveform design, majorization-minimization (MM) method

中图分类号:

TN973

何金阳, 程子扬, 何子述. 抗间歇采样转发干扰的认知恒模波形设计方法[J]. 系统工程与电子技术, 2021, 43(9): 2448-2456.

Jinyang HE, Ziyang CHENG, Zishu HE. Cognitive constant modulus waveform design method against interrupted sampling repeater jamming[J]. Systems Engineering and Electronics, 2021, 43(9): 2448-2456.

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参考文献 31

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 (1): 113- 123. doi: 10.1007/s11432-007-2017-y
2	黄成家, 刘晓东. 基于DRFM间歇采样转发的相干假目标串干扰仿真分析[J]. 舰船电子对抗, 2011, 34 (4): 77- 80. doi: 10.3969/j.issn.1673-9167.2011.04.019
	HUANG C J , LIU X D . Simulation analysis of coherent false target string by interrupted sampling repeater jamming based on DRFM[J]. Shipboard Electronic Counter Measure, 2011, 34 (4): 77- 80. doi: 10.3969/j.issn.1673-9167.2011.04.019
3	韩文彬, 李晓燕, 郭金良, 等. 间歇采样转发干扰压制效果分析[J]. 电子信息对抗技术, 2014, 29 (2): 47- 50, 69. doi: 10.3969/j.issn.1674-2230.2014.02.012
	HAN W B , LI X Y , GUO J L , et al. Analysis of jamming effect of interrupted-sampling repeater[J]. Electronic Information Warfare Technology, 2014, 29 (2): 47- 50, 69. doi: 10.3969/j.issn.1674-2230.2014.02.012
4	施富强, 周超, 刘泉华. 间歇采样重复转发式干扰特性分析[J]. 信号处理, 2017, 33 (12): 1616- 1624.
	SHI F Q , ZHOU C , LIU Q H . Characteristics analysis of interrupted-sampling repeater jamming[J]. Journal of Signal Processing, 2017, 33 (12): 1616- 1624.
5	ZHOU C , LIU F F , LIU Q H . An adaptive transmitting scheme for interrupted sampling repeater jamming suppression[J]. Sensors, 2017, 17 (11): 2480. doi: 10.3390/s17112480
6	周畅, 汤子跃, 余方利, 等. 基于脉内正交的抗间歇采样转发干扰方法[J]. 系统工程与电子技术, 2017, 39 (2): 269- 276.
	ZHOU C , TANG Z Y , YU F L , et al. Anti-intermittent sampling repeater jamming method based on intrapulse orthogonality[J]. Systems Engineering and Electronics, 2017, 39 (2): 269- 276.
7	WEI Z H , LIU Z , PENG B , et al. ECCM scheme against interrupted sampling repeater jammer based on parameter-adjusted waveform design[J]. Sensors, 2018, 18 (4): 1141. doi: 10.3390/s18041141
8	吴少鹏, 袁越, 涂刚毅. 间歇采样干扰识别的抗欺骗干扰波形设计[J]. 现代防御技术, 2018, 46 (2): 1- 5, 81. doi: 10.3969/j.issn.1009-086x.2018.02.001
	WU S P , YUAN Y , TU G Y . Design of anti deception jamming waveform for intermittent sampling interference identification[J]. Modern Defence Technology, 2018, 46 (2): 1- 5, 81. doi: 10.3969/j.issn.1009-086x.2018.02.001
9	周畅, 汤子跃, 朱振波, 等. 抗间歇采样转发干扰的波形设计方法[J]. 电子与信息学报, 2018, 40 (9): 2198- 2205.
	ZHOU C , TANG Z Y , ZHU Z B , et al. Anti-interrupted sampling repeater jamming waveform design method[J]. Journal of Electronics & Information Technology, 2018, 40 (9): 2198- 2205.
10	HUAN S , DAI G , LUO G Y , et al. Bayesian compress sensing based countermeasure scheme against the interrupted sampling repeater jamming[J]. Sensors, 2019, 19 (15): 3279. doi: 10.3390/s19153279
11	李骥, 段杏燕, 王威, 等. 载波编码多载波相位编码雷达信号抗间歇采样干扰研究[J]. 信号处理, 2020, 36 (7): 1166- 1174.
	LI J , DUAN X Y , WANG W , et al. Research on anti-interrupted sampling repeater jamming based on CC-MCPC radar signal[J]. Journal of Signal Processing, 2020, 36 (7): 1166- 1174.
12	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
13	YUAN H , WANG C Y , LI X , et al. A method against interrupted-sampling repeater jamming based on energy function detection and band-pass filtering[J]. Internation Journal of Antennas and Propagation, 2017, 675916.
14	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 and Navigation, 2019, 13 (10): 1646- 1654. doi: 10.1049/iet-rsn.2018.5658
15	周超, 刘泉华, 胡程. 间歇采样转发式干扰的时频域辨识与抑制[J]. 雷达学报, 2019, 8 (1): 100- 106.
	ZHOU C , LIU Q H , HU C . Time-frequency analysis techniques for recognition and suppression of interrupted sampling repeater jamming[J]. Journal of Radars, 2019, 8 (1): 100- 106.
16	张建中, 穆贺强, 文树梁, 等. 基于脉内步进LFM波形的抗间歇采样转发干扰方法[J]. 系统工程与电子技术, 2019, 41 (5): 1013- 1020.
	ZHANG J Z , MU H Q , WEN S L , et al. Anti-intermittent sampling repeater jamming method based on stepped LFM waveform[J]. Systems Engineering and Electronics, 2019, 41 (5): 1013- 1020.
17	ZHOU C, SHI F Q, LIU Q H. Research on parameters estimation and suppression for C&I jamming[C]//Proc. of the CIE International Conference on Radar, 2016.
18	SHEN R, LIU Z, SUI J P, et al. Study on interrupted-sampling repeater jamming performance based on intra-pulse frequency coded signal[C]//Proc. of the 9th International Conference on Digital Image Processing, 2017.
19	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. doi: 10.3390/s19010136
20	LI Y Z , VOROBYOV S A . Fast algorithms for designing unimodular waveform(s) with good correlation properties[J]. IEEE Trans.on Signal Process, 2018, 66 (5): 1197- 1212. doi: 10.1109/TSP.2017.2787104
21	SHI S N , WANG Z Y , HE Z S , et al. Spectrally compatible waveform design for MIMO radar with ISL and PAPR constraints[J]. IEEE Sensors Journal, 2020, 20 (5): 2368- 2377. doi: 10.1109/JSEN.2019.2951740
22	CHENG Z Y , LIAO B , HE Z S , et al. A nonlinear-ADMM method for designing MIMO radar constant modulus waveform with low correlation sidelobes[J]. Signal Processing, 2019, 159, 93- 103. doi: 10.1016/j.sigpro.2019.02.005
23	NESTEROV Y . Efficiency of coordinate descent methods on huge-scale optimization problems[J]. SIAM Journal on Optimization, 2012, 22 (2): 341- 362. doi: 10.1137/100802001
24	CHEN B L , HE S M , LI Z N , et al. Maximum block improvement and polynomial optimization[J]. SIAM Journal on Optimization, 2012, 22 (1): 87- 107. doi: 10.1137/110834524
25	HONG M Y , RAZAVIYAYN M , LUO Z Q , et al. A unified algorithmic framework for block structured optimization involving big data[J]. IEEE Signal Processing Magazine, 2016, 33 (1): 57- 77. doi: 10.1109/MSP.2015.2481563
26	HUNTER D R , LANGE K . A tutorial on MM algorithms[J]. The American Statistician, 2004, 58 (1): 30- 37. doi: 10.1198/0003130042836
27	STOICA P , SELEN Y . Cyclic minimizers, majorization techniques, and the expectation-maximization algorithm: a refresher[J]. IEEE Signal Processing Magazine, 2004, 21 (1): 112- 114. doi: 10.1109/MSP.2004.1267055
28	SCUTARI G , FACCHINEI F , SONG P , et al. Decomposition by partial linearization: Parallel optimization of multi-agent systems[J]. IEEE Trans.on Signal Process, 2014, 62 (3): 641- 656. doi: 10.1109/TSP.2013.2293126
29	SONG J X , BABU P , PALOMAR D P . Sequence design to minimize the weighted integrated and peak sidelobe levels[J]. IEEE Trans.on Signal Process., 2016, 64 (8): 2051- 2064. doi: 10.1109/TSP.2015.2510982
30	SHI S N , WANG Z Y , HE Z S , et al. Constant modulus waveform design for high frequency radar using optimal filter[J]. Digitital Signal Processings, 2019, 89, 82- 90. doi: 10.1016/j.dsp.2019.03.009
31	SONG J X , BABU P , PALOMAR D P . Optimization methods for designing sequences with low autocorrelation sidelobes[J]. IEEE Trans.on Signal Process., 2015, 63 (15): 3998- 4009. doi: 10.1109/TSP.2015.2425808

算法	ISL值/dB	计算复杂度	迭代次数	总计算时间/s
MM	105.796	O(N³)	127	140
加速MM	104.814	O(N³)	53	111
BCD	100.279	O(N⁵)	94	15 554

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