低多普勒敏感的抗间歇采样转发干扰波形设计方法

doi:10.12305/j.issn.1001-506X.2023.05.09

摘要/Abstract

摘要：

针对间歇采样转发干扰, 研究了脉内正交的工作波形和保护波形设计方法抑制干扰, 考虑到设计波形的多普勒敏感性, 以低多普勒敏感约束和互相关函数加权和最小为目标函数、波形恒模为约束条件建立优化问题。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, 因此设计了一种基于循环算法的方法进行求解。最后, 通过仿真实验和已有波形进行对比, 验证了所设计波形具有较低多普勒敏感性, 同时能够有效对抗间歇采样转发干扰。

关键词: 低多普勒敏感, 间歇采样, 干扰对抗, 波形设计, 循环算法

Abstract:

For interrupted sampling repeater jamming (ISRJ), this paper investigates the intra-pulse orthogonal working and protection waveform design method to suppress ISRJ. Considering the low Doppler sensitivity, the optimization problem is formulated by minimizing the weighted sum of the low Doppler sensitive and correlation function under the constraint of constant modulus. Since the problem involves a nonconvex fourth-order objective and a nonconvex constraint, it is difficult to obtain a closed-form solution. Therefore, a method based on cyclic algorithm is devised to solve the problem. Finally, compared with the existing waveform, the simulation results show that the designed waveform has low Doppler sensitivity and can counter ISRJ effectively.

Key words: low Doppler sensitivity, interrupted sampling, jamming countermeasure, waveform design, cyclic algorithm

中图分类号:

TN973

何金阳, 程子扬, 李绽蕾, 何子述, 沙明辉. 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.

Jinyang HE, Ziyang CHENG, Zhanlei LI, Zishu HE, Minghui SHA. Low Doppler sensitive waveform design method against interrupted sampling repeater jamming[J]. Systems Engineering and Electronics, 2023, 45(5): 1333-1341.

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参考文献 33

1	BANDIERA F , FARINA A , ORLANDO D , et al. Detection algorithms to discriminate between radar targets and ECM signals[J]. IEEE Trans. on Signal Processing, 2010, 58 (12): 5984- 5993. doi: 10.1109/TSP.2010.2077283
2	ZHANG J D , ZHU D Y , ZHANG G . New antivelocity deception jamming technique using pulses with adaptive initial phases[J]. IEEE Trans. on Aerospace and Electronic Systems, 2013, 49 (2): 1290- 1300. doi: 10.1109/TAES.2013.6494414
3	ZHAO Y J , TIAN B , WANG C Y , et al. Research on main-lobe deceptive jamming against FDA-MIMO radar[J]. IET Radar, Sonar & Navigation, 2021, 15 (6): 641- 654.
4	SOUMEKH M . SAR-ECCM using phase-perturbed LFM chirp signals and DRFM repeat jammer penalization[J]. IEEE Trans. on Aerospace and Electronic Systems, 2006, 42 (1): 191- 205. doi: 10.1109/TAES.2006.1603414
5	FENG D J , TAO H M , YANG Y , et al. Jamming de-chirping radar using interrupted-sampling repeater[J]. Science China Information Sciences, 2011, 54 (10): 2138- 2146. doi: 10.1007/s11432-011-4431-4
6	LI C Z, SU W M, GU H, et al. Improved interrupted sampling repeater jamming based on DRFM[C]//Proc. of the IEEE International Conference on Signal Processing, Communications and Computing, 2014: 254-257.
7	ALMSLMANY A, WANG C Y, CAO Q S. Advanced deceptive jamming model based on DRFM Sub-Nyquist sampling[C]//Proc. of the 13th International Bhurban Conference on Applied Sciences and Technology, 2016: 727-730.
8	İSPIR M, ORDUYıLMAZ A, SERIN M, et al. Real-time multiple velocity false target generation in digital radio frequency memory[C]//Proc. of the IEEE Radar Conference, 2016.
9	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.
	LI Y Z , HUANG D T , XING S Q , et al. A review of synthetic aperture radar jamming technique[J]. Journal of Radars, 2020, 9 (5): 753- 764.
10	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
11	FENG D J , XU L T , WANG W , et al. Radar target echo cancellation using interrupted-sampling repeater[J]. IEICE Electronics Express, 2014, 11 (8): 20130997. doi: 10.1587/elex.11.20130997
12	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, 53 (3): 1341- 1354. doi: 10.1109/TAES.2017.2670958
13	周阳, 毕大平, 沈爱国, 等. 基于运动调制的SAR-GMTI间歇采样遮蔽干扰方法[J]. 雷达学报, 2017, 6 (04): 359- 367.
	ZHOU Y , BI D P , SHEN A G , et al. Intermittent sampling repeater shading jamming method based on motion modulation for SAR-GMTI[J]. Journal of Radars, 2017, 6 (4): 359- 367.
14	WU Q H , ZHAO F , WANG J J , et al. Improved ISRJ-based radar target echo cancellation using frequency shifting modulation[J]. Electronics, 2019, 8 (1): 46. doi: 10.3390/electronics8010046
15	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.
16	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
17	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
18	ZHOU C, TANG Z Y, DAI Y, et al. Anti-intermittent sampling repeater jamming method based on convex optimization techniques[C]//Proc. of the CIE International Conference on Radar, 2016.
19	WEI X , 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, 2017, 9. doi: 10.1186/s13634-017-0446-3
20	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]. International Journal of Antennas and Propagation, 2017, 2017, 6759169.
21	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.
22	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.
23	ZHONG S Z, HUANG X, WANG H J, et al. Anti-intermittent sampling repeater jamming waveform design based on immune genetics[C]//Proc. of the IEEE International Conference on Power, Intelligent Computing and Systems, 2019: 553-559.
24	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.
25	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.
26	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 interrupted-sampling repeater jamming method based on stepped LFM waveform[J]. Systems Engineering and Electronics, 2019, 41 (5): 1013- 1020.
27	ZHOU K , LI D X , SU Y , et al. 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
28	HE H. Waveform design for active sensing systems-a computational approach[D]. Gainesville: University of Florida, 2011.
29	李秀友, 关键, 薛永华, 等. 模糊函数约束下的高多普勒容忍性波形设计方法[J]. 信号处理, 2015, 31 (12): 1612- 1618.
	LI X Y , GUAN J , XUE Y H , et al. High Doppler tolerance waveform design method constrained by ambiguity function[J]. Journal of Signal Processing, 2015, 31 (12): 1612- 1618.
30	LI J , STOICA P , ZHENG X Y . Signal synthesis and receiver design for MIMO radar imaging[J]. IEEE Trans. on Signal Processing, 2008, 56 (8): 3959- 3968.
31	HE H , STOICA P , LI J . Designing unimodular sequence sets with good correlations-including an application to MIMO radar[J]. IEEE Trans. on Signal Processing, 2009, 57 (15): 4391- 4405.
32	SONG J X , BABU P , PALOMAR D P . Optimization methods for designing sequences with low autocorrelation sidelobes[J]. IEEE Trans. on Signal Processing, 2015, 63 (11): 4391- 4405.
33	SHI S N , WANG Z Y , HE Z S , et al. Constant modulus waveform design for high frequency radar using optimal filter[J]. Digital Signal Processing, 2019, 89, 82- 90.

参数	实验值
信号脉宽/μs	100
信号带宽B/MHz	1
采样频率f_s/MHz	2
采样点数N	200
干扰信号比JSR/dB	5
干扰采样脉宽/μs	5
干扰采样点数N_s	10
干扰转发次数M	1
感兴趣距离范围K	40
约束多普勒频点数P	10

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