基于粒子采样投影的雷达低旁瓣复合波形设计

doi:10.12305/j.issn.1001-506X.2023.04.09

摘要/Abstract

摘要：

非合作无人机机动性强、易被建筑物遮挡, 往往具备信号截获能力, 给传统雷达探测带来严峻挑战。对此, 提出基于粒子采样投影的恒模波形设计方法来获得局部低旁瓣、低截获波形。首先, 利用混沌相位编码的随机性构造复合波形, 增强波形低截获性能; 接着, 引入低旁瓣波形设计的数学模型, 并转化为多变量交替范数迭代优化问题; 进而, 借鉴粒子滤波采样思想、交替投影框架, 构建粒子集群同步投影、采样更新机制。仿真实验表明, 所提算法运算效率高、稳定性强, 波形兼具低旁瓣、低截获与多普勒容忍性, 与当前流行算法相比具有显著优势。

关键词: 智能雷达, 粒子滤波, 局部低旁瓣, 低截获率, 相位编码波形

Abstract:

Non-cooperative unmanned aerial vehicles are often highly maneuverable and easily sheltered by buildings when probing and detecting, and they usually posses the ability of signal interception, which brings severe challenge to traditional radar. To tackle this problem, this paper proposes a method based on particles sampling projection (PSP) to design constant-modulus waveforms with local low sidelobe and low intercept probability. Firstly, the randomness of chaotic phase coding is used to construct the composite waveform to enhance the performance of low interception. Secondly, the mathematical model of low range sidelobes is introduced and transformed into a multi-variable alternating norm-optimization problem. Furthermore, the particles-set synchronous projection and sampling updating mechanism are both constructed, based on the particle filter sampling thinking and alternating projection framework. Finally, simulation results show that the proposed algorithm has higher efficiency, lower range sidelobes, low probability of interception and also with Doppler tolerance, which has significant advantages over popular ones.

Key words: intelligent radar, particle filter, local low sidelobes, low probability of interception, phase-coded waveform

中图分类号:

TN957.51

冯翔, 李风从, 范羽, 刘涛, 崔文卿, 赵宜楠. 基于粒子采样投影的雷达低旁瓣复合波形设计[J]. 系统工程与电子技术, 2023, 45(4): 1008-1015.

Xiang FENG, Fengcong LI, Yu FAN, Tao LIU, Wenqing CUI, Yinan ZHAO. Radar composite waveform design with low range sidelobes based on particles sampling projection[J]. Systems Engineering and Electronics, 2023, 45(4): 1008-1015.

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参考文献 30

1	BLUNT S D , MOKOLE E L . Overview of radar waveform diversity[J]. IEEE Aerospace and Electronic Systems Magazine, 2016, 31 (11): 2- 42. doi: 10.1109/MAES.2016.160071
2	李伟, 王泓霖, 郑家毅, 等. 博弈条件下雷达波形设计策略研究[J]. 电子与信息学报, 2019, 41 (11): 2654- 2660. doi: 10.11999/JEIT190114
	LI W , WANG H L , ZHENG J Y , et al. Research on radar waveform design strategy under game condition[J]. Journal of Electronics & Information Technology, 2019, 41 (11): 2654- 2660. doi: 10.11999/JEIT190114
3	CUI G L , LI H B , RANGASWAMY M . MIMO radar waveform design with constant modulus and similarity constraints[J]. IEEE Trans. on Signal Processing, 2013, 62 (2): 343- 353.
4	郝志梅, 孙进平, 罗美方. 基于复合频率编码的低截获概率波形簇设计[J]. 系统工程与电子技术, 2021, 43 (11): 3137- 3143. doi: 10.12305/j.issn.1001-506X.2021.11.12
	HAO Z M , SUN J P , LUO M F . Waveform cluster design of low probability of intercept based on compound frequency coding[J]. Systems Engineering and Electronics, 2021, 43 (11): 3137- 3143. doi: 10.12305/j.issn.1001-506X.2021.11.12
5	许京伟, 廖桂生, 张玉洪, 等. 波形分集阵雷达抗欺骗式干扰技术[J]. 电子学报, 2019, 47 (3): 545- 551.
	XU J W , LIAO G S , ZHANG Y H , et al. On anti-jamming technique with waveform diverse array radar[J]. Acta Electonica Sinica, 2019, 47 (3): 545- 551.
6	KULPA J S , KRAWCZYK G , KUROWSKA A . Pseudo noise waveform design for spectrum sharing systems[J]. IEEE Aerospace and Electronic Systems Magazine, 2020, 35 (10): 30- 39. doi: 10.1109/MAES.2020.3022485
7	肖宇, 邓正宏. 信杂噪比约束下基于互信息的雷达波形设计[J]. 系统工程与电子技术, 2021, 43 (7): 1775- 1780.
	XIAO Y , DENG Z H . MI-based radar waveform design under SINR constraint[J]. Systems Engineering and Electronics, 2021, 43 (7): 1775- 1780.
8	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.
	HE J Y , CHENG Z Y , HE Z S . Cognitive constant modulus waveform design method against interrupted sampling repeater jamming[J]. Systems Engineering and Electronics, 2021, 43 (9): 2448- 2456.
9	崔国龙, 余显祥, 杨婧, 等. 认知雷达波形优化设计方法综述[J]. 雷达学报, 2019, 8 (5): 537- 557.
	CUI G L , YU X X , YANG J , et al. An overview of waveform optimization methods for cognitive radar[J]. Journal of Radars, 2019, 8 (5): 537- 557.
10	STOICA P , HE H , LI J . New algorithms for designing unimodular sequences with good correlation properties[J]. IEEE Trans. on Signal Processing, 2009, 57 (4): 1415- 1425. doi: 10.1109/TSP.2009.2012562
11	STOICA P , HE H , LI J . On designing sequences with impulse-like periodic correlation[J]. IEEE Signal Processing Letters, 2009, 16 (8): 703- 706. doi: 10.1109/LSP.2009.2021378
12	周凯, 李德鑫, 粟毅, 等. 雷达脉冲压缩低旁瓣发射波形和非匹配滤波联合设计方法[J]. 电子学报, 2021, 49 (9): 1701- 1707.
	ZHOU K , LI D X , SU Y , et al. Joint design of transmitted waveform and mismatched filter suppressing radar pulse compression sidelobe level[J]. Acta Electonica Sinica, 2021, 49 (9): 1701- 1707.
13	LI F C , ZHAO Y N , QIAO X L . A waveform design method for suppressing range sidelobes in desired intervals[J]. Signal Processing, 2014, 96, 203- 211. doi: 10.1016/j.sigpro.2013.09.023
14	FENG X , ZHAO Y N , ZHOU Z Q , et al. Waveform design with low range sidelobe and high Doppler tolerance for cognitive radar[J]. Signal Processing, 2017, 139, 143- 155. doi: 10.1016/j.sigpro.2017.04.014
15	赵宜楠, 宋群, 冯翔, 等. 基于模糊函数构型的动目标探测波形设计[J]. 系统工程与电子技术, 2020, 42 (2): 263- 270.
	ZHAO Y N , SONG Q , FENG X , et al. Waveform design based on ambiguity function formulation for moving target detection[J]. Systems Engineering and Electronics, 2020, 42 (2): 263- 270.
16	SONG J X , BABU P , PALOMAR D P . Sequence design to minimize the weighted integrated and peak sidelobe levels[J]. IEEE Trans. on Signal Processing, 2016, 64 (8): 2051- 2064. doi: 10.1109/TSP.2015.2510982
17	ZHAO L C , SONG J X , BABU P , et al. A unified framework for low autocorrelation sequence design via majorization-minimization[J]. IEEE Trans. on Signal Processing, 2016, 65 (2): 438- 453.
18	WU Z J , ZHOU Z Q , WANG C X , et al. Doppler resilient complementary waveform design for active sensing[J]. IEEE Sensors Journal, 2020, 20 (17): 9963- 9976.
19	ZHOU S Z , LIU H W , ZANG H K . Doppler sensitivity of MIMO radar waveforms[J]. IEEE Trans. on Aerospace and Electronic Systems, 2016, 52 (5): 2091- 2110.
20	GOVONI M A , LI H B , KOSINSKI J A . Range-Doppler resolution of the linear-FM noise radar waveform[J]. IEEE Trans. on Aerospace and Electronic Systems, 2013, 49 (1): 658- 664.
21	李秀友, 董云龙, 张林, 等. 一种新的低旁瓣LFM噪声雷达波形设计方法[J]. 电子与信息学报, 2016, 38 (6): 1452- 1459.
	LI X Y , DONG Y L , ZHANG L , et al. A new design method of low sidelobe level LFM noise radar waveform[J]. Journal of Electronics & Information Technology, 2016, 38 (6): 1452- 1459.
22	赵俊龙, 李伟, 王泓霖, 等. 基于长短时记忆网络的雷达波形设计[J]. 系统工程与电子技术, 2021, 43 (2): 376- 382.
	ZHAO J L , LI W , WANG H L , et al. Waveform design of radar based on long short-term memory network[J]. Systems Engineering and Electronics, 2021, 43 (2): 376- 382.
23	LIANG J , SO H C , LEUNG C S , et al. Waveform design with unit modulus and spectral shape constraints via Lagrange programming neural network[J]. IEEE Journal of Selected Topics in Signal Processing, 2015, 9 (8): 1377- 1386.
24	FAN W , LIANG J L , LI J . Constant modulus MIMO radar waveform design with minimum peak sidelobe transmit beampattern[J]. IEEE Trans. on Signal Processing, 2018, 66 (16): 4207- 4222.
25	YU X X , ALHUJAILI K , CUI G L , et al. MIMO radar waveform design in the presence of multiple targets and practical constraints[J]. IEEE Trans. on Signal Processing, 2020, 68, 1974- 1989.
26	JIN G D , DENG Y K , WANG R , et al. An advanced nonlinear frequency modulation waveform for radar imaging with low sidelobe[J]. IEEE Trans. on Geoscience and Remote Sensing, 2019, 57 (8): 6155- 6168.
27	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.
28	李风从, 赵宜楠, 乔晓林. 抑制特定区间距离旁瓣的恒模波形设计方法[J]. 电子与信息学报, 2013, 35 (3): 532- 536.
	LI F C , ZHAO Y N , QIAO X L . Constant modular waveform design method for suppressing range sidelobes in specified intervals[J]. Journal of Electronics & Information Technology, 2013, 35 (3): 532- 536.
29	杜思予, 全英汇, 沙明辉, 等. 基于进化PSO算法的稀疏捷变频雷达波形优化[J]. 系统工程与电子技术, 2022, 44 (3): 834- 840.
	DU S Y , QUAN Y H , SHA M H . Waveform optimization for SFA radar based on evolutionary PSO[J]. Systems Engineering and Electronics, 2022, 44 (3): 834- 840.
30	ZHANG W J , JIN F H , WEI Z Y , et al. Constant modulus waveform design for MIMO radar transmit beampattern with residual network[J]. Signal Processing, 2020, 177, 107735.

不同算法	单旁瓣抑制区间
不同算法	aver_sideval/dB	耗时/s
ISAA	-131.564 1	0.391 1
WeCAN	-46.273 1	5.920 3
PGD	-147.809 3	0.660 7
PSP	-328.949 2	0.214 0

不同算法	多旁瓣抑制区间
不同算法	aver_sideval/dB	耗时/s
ISAA	-126.206 0	0.322 6
WeCAN	-46.028 1	5.610 1
PGD	-139.667 2	0.508 3
PSP	-329.583 1	0.201 7

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