基于模糊函数构型的动目标探测波形设计

doi:10.3969/j.issn.1001-506X.2020.02.02

系统工程与电子技术 ›› 2020, Vol. 42 ›› Issue (2): 263-270.doi: 10.3969/j.issn.1001-506X.2020.02.02

基于模糊函数构型的动目标探测波形设计

赵宜楠(), 宋群(), 冯翔(), 吴中杰(), 赵占锋()

哈尔滨工业大学(威海)信息科学与工程学院, 山东威海 264209

收稿日期:2019-04-04 出版日期:2020-02-01 发布日期:2020-01-23
作者简介:赵宜楠 (1977-),男,教授,博士,主要研究方向为无线定位与感知、智能感知技术。E-mail:zhaoyinan@hit.edu.cn|宋群 (1995-),男,博士研究生,主要研究方向为智能雷达信号处理。E-mail:psuvtk@126.com|冯翔 (1988-),男,讲师,博士,主要研究方向为认知雷达信号处理、智能感知技术。E-mail:fengxiang230316@163.com|吴中杰 (1990-),男,讲师,博士,主要研究方向为认知雷达信号处理、智能感知技术。E-mail:hit_wzj@163.com|赵占锋 (1980-),男,副教授,博士,主要研究方向为信号处理、信号检测理论。E-mail:56044075@qq.com
基金资助:
国家自然科学基金(61771160);国防科技创新特区项目;山东省科技重大专项(2015ZDZX08002)

Waveform design based on ambiguity function formulation for moving target detection

Yinan ZHAO(), Qun SONG(), Xiang FENG(), Zhongjie WU(), Zhanfeng ZHAO()

School of Information and Engineering, Harbin Institute of Technology, Weihai 264209, China

Received:2019-04-04 Online:2020-02-01 Published:2020-01-23
Supported by:
国家自然科学基金(61771160);国防科技创新特区项目;山东省科技重大专项(2015ZDZX08002)

摘要/Abstract

摘要：

针对工程中常规雷达波形存在距离旁瓣高、抗截获性差、多普勒容许性差等问题,本文借鉴噪声波形与线性调频(linear frequency modulation, LFM)波形联合思路来探测非合作动目标,即约束波形恒模条件下,利用相位尺度因子来考虑LFM波形与噪声波形的相位部分,构造恒模化的LFM-噪声复合波形;进而在模糊函数图及主优化算法(majorization-minimization, MM)体制下利用先验知识映射模板实现对特定距离-多普勒区间的波形优化,将该二维旁瓣抑制问题分步转化为多维求解问题,通过选取两次逼近函数来逼近原优化问题的解域,并在算法的每一次迭代中加入级联松弛-缩放步骤、相位校正步骤,使之加快算法迭代收敛效率,获得波形兼具低旁瓣、低截获及多普勒容许性。仿真表明:所提基于相位修正的松弛加权MM复合波形设计算法收敛迅速,相比常规算法具有明显的性能优势。

关键词: 模糊函数, 动目标探测, 低旁瓣, 低截获, 多普勒容许

Abstract:

Aiming at traditional waveforms with poor Doppler tolerance, a low anti-interception ability and high range sidelobes for detecting some non-cooperative moving target, the idea of noise-linear frequency modulation (LFM) combined waveform is resorted and their phase sections are connected by utilizing a phase scalar factor. Then the fuzzy function map and majorization-minimization (MM) framework are introduced, and further a two-dimensional mapping template is used to optimize some range-Doppler interval. Therefore, the range-Doppler sidelobe suppression has been a multi-dimensional mathematical problem, the two-dimensional range-Doppler sidelobe suppression problem can be transformed into a high dimensional mathematics problem, by choosing two agency functions to approximate the solution domain of the original problem. The algorithm with cascade relaxation -zoom steps and phase correction, in each iteration, could speed up the optimization convergence. Simulations show that compared with several traditional algorithms, the phase-modified relaxed-scalar-weighted MM algorithm could achieve better convergence.

Key words: ambiguity function, moving target detection, low range sidelobes, low probability of interception, Doppler tolerance

中图分类号:

TN958

赵宜楠, 宋群, 冯翔, 吴中杰, 赵占锋. 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.

Yinan ZHAO, Qun SONG, Xiang FENG, Zhongjie WU, Zhanfeng ZHAO. Waveform design based on ambiguity function formulation for moving target detection[J]. Systems Engineering and Electronics, 2020, 42(2): 263-270.

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参考文献 17

1	张锡熊. 21世纪雷达的"四抗"[J]. 雷达科学与技术, 2003, 1 (1): 1- 6. doi: 10.3969/j.issn.1672-2337.2003.01.001
	ZHANG X X . "Four countering" of radar in the early of the 21st century[J]. Radar Science and Technology, 2003, 1 (1): 1- 6. doi: 10.3969/j.issn.1672-2337.2003.01.001
2	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.
3	郝天铎, 崔琛, 龚阳, 等. 基于序列线性规划的雷达低峰均比估计波形设计[J]. 系统工程与电子技术, 2018, 40 (10): 2223- 2229. doi: 10.3969/j.issn.1001-506X.2018.10.10
	HAO T D , CUI C , GONG Y , et al. Radar estimation waveform design under low-PAR constraints based on sequence linear programming[J]. Systems Engineering and Electronics, 2018, 40 (10): 2223- 2229. doi: 10.3969/j.issn.1001-506X.2018.10.10
4	YANG J , CUI G L , YU X X , et al. Cognitive local ambiguity function shaping with spectral coexistence[J]. IEEE Access, 2018, 6, 50077- 50086. doi: 10.1109/ACCESS.2018.2868884
5	AUBRY A , DE MAIO A , JIANG B , et al. Ambiguity function shaping for cognitive radar via complex quartic optimization[J]. IEEE Trans.on Signal Processing, 2013, 61 (22): 5603- 5619. doi: 10.1109/TSP.2013.2273885
6	ARLERY F, KASSAB R, TAN U, et al, Efficient gradient method for locally optimizing the periodic/aperiodic ambiguity function[C]//Proc.of the IEEE Radar Conference, 2016: 1-6.
7	CUI G , FU Y , YU X , et al. Local ambiguity function shaping via unimodular sequence design[J]. IEEE Signal Processing Letters, 2017, 24 (7): 977- 981. doi: 10.1109/LSP.2017.2700396
8	JING Y , LIANG J , TANG B , et al. Designing unimodular sequence with low peak of sidelobe level of local ambiguity function[J]. IEEE Trans.on Aerospace and Electronic Systems, 2019, 55 (3): 1393- 1406. doi: 10.1109/TAES.2018.2870459
9	SONG J , BABU P , PALOMAR D P . Optimization methods for designing sequences with low autocorrelation sidelobes[J]. IEEE Trans.on Signal Processing, 2015, 63 (15): 3998- 4009. doi: 10.1109/TSP.2015.2425808
10	WU L , BABU P , PALOMAR D P . Cognitive radar-based sequence design via SINR maximization[J]. IEEE Trans.on Signal Processing, 2017, 65 (3): 779- 793. doi: 10.1109/TSP.2016.2621723
11	GOVONI M A , LI H , 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. doi: 10.1109/TAES.2013.6404130
12	冯翔.复杂场景下认知雷达探测技术研究[D].哈尔滨:哈尔滨工业大学, 2018.
	FENG X.Research on technologies of cognitive radar probe in complex background[D]. Harbin: Harbin Institute of Technology, 2018.
13	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.
14	FENG X , ZHAO Y N , ZHOU Z Q . Waveform design with low range sidelobe and high Doppler tolerance for cognitive radar[J]. Signal Processing, 2017, 139 (10): 143- 155.
15	SUN Y , BABU P , PALOMAR D P . Majorization-minimization algorithms in signal processing, communications and machine learning[J]. IEEE Trans.on Signal Processing, 2017, 65 (3): 794- 816. doi: 10.1109/TSP.2016.2601299
16	尚进, 赵德华, 位寅生. Pareto最优稀疏频率雷达波形设计[J]. 系统工程与电子技术, 2016, 38 (7): 1538- 1542.
	SHANG J , ZHAO D H , WEI Y S . Pareto-optimal sparse frequency radar waveform design[J]. Systems Engineering and Electronics, 2016, 38 (7): 1538- 1542.
17	邹鲲, 骆艳卜, 李伟, 等. 频谱拥挤环境中峰均功率比约束的认知雷达发射波形设计[J]. 电子与信息学报, 2018, 40 (7): 1774- 1778.
	ZOU K , LUO Y B , LI W , et al. Cognitive radar waveform design with a peak to average power ration constraint for spectrally dense environments[J]. Journal of Electronics & Information Technology, 2018, 40 (7): 1774- 1778.

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基于模糊函数构型的动目标探测波形设计

Waveform design based on ambiguity function formulation for moving target detection

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