波形分集阵列新体制雷达研究进展与展望

朱圣棋; 余昆; 许京伟; 兰岚; 李西敏

doi:10.12000/JR21188

波形分集阵列新体制雷达研究进展与展望

DOI: 10.12000/JR21188

西安电子科技大学雷达信号处理国家重点实验室西安 710071

基金项目: 国家自然科学基金(61931016, 62071344, 62101402, 61911530246)，陕西省杰出青年科学基金(2019JC-16)，中国博士后科学基金(2021TQ0261, 2021M702547)

详细信息

作者简介:
朱圣棋(1984–)，男，江西赣州人，博士，教授。2010年在西安电子科技大学雷达信号处理国家重点实验室获得博士学位，现为西安电子科技大学雷达信号处理国家重点实验室教授。主要研究方向为雷达运动目标检测、频率分集阵列、波形分集阵列雷达信号处理

余　昆(1995–)，男，江苏泰州人，西安电子科技大学雷达信号处理国家重点实验室在读博士研究生。主要研究方向为合成孔径雷达成像、波形分集阵列雷达抗干扰技术等

许京伟(1987–)，男，山东日照人，博士，副教授。2015年在西安电子科技大学雷达信号处理国家重点实验室获得博士学位，现为西安电子科技大学雷达信号处理国家重点实验室副教授。主要研究方向为雷达系统建模、阵列信号处理、波形分集雷达(频率分集阵列和空时编码阵列)等

兰　岚(1993–)，女，陕西西安人，博士，准聘副教授。2020年在西安电子科技大学雷达信号处理国家重点实验室获得博士学位，现为西安电子科技大学雷达信号处理国家重点实验室准聘副教授。主要研究方向为波形分集阵列、雷达抗干扰方法、MIMO雷达技术

李西敏(1983–)，男，山东聊城人，博士。现担任西安电子科技大学雷达信号处理国家重点实验室副教授。主要研究方向为目标电磁散射建模、波形分集雷达抗干扰等

通讯作者:
朱圣棋 zhushengqi8@163.com

责任主编：王文钦 Corresponding Editor: WANG Wenqin
中图分类号: TN957
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出版历程
- 收稿日期: 2021-11-24
- 修回日期: 2021-12-23
- 网络出版日期: 2021-12-28
- 刊出日期: 2021-12-28

Research Progress and Prospect for the Noval Waveform Diverse Array Radar

National Laboratory of Radar Signal Processing, Xidian University, Xi’an 710071, China

Funds: The National Natural Science Foundation of China (61931016, 62071344, 62101402, 61911530246), The Excellent Youth Foundation of Shaanxi Scientific Committee (2019JC-16), The China Postdocatoral Science Foundation (2021TQ0261, 2021M702547)

More Information

Corresponding author: ZHU Shengqi, zhushengqi8@163.com

摘要

摘要: 传统雷达存在主瓣欺骗式干扰难抑制、距离模糊杂波难分离等问题。一方面，由于增加了发射维自由度，波形分集阵列新体制的提出改变了雷达获取信息的方式。另一方面，通过灵活的系统设计和信号处理方法，增强了信息提取能力，在抗干扰、检测等方面比传统相控阵、MIMO雷达有明显的性能提升。该文总结了波形分集阵列雷达的国内外最新研究进展，分别从频率、时间和相位调制方式给出阵列分集体制的基本概念，并对波形分集阵列雷达的研究趋势进行了梳理。在现有基础理论和关键技术研究的基础上，验证波形分集阵列在提供目标新信息、增加系统额外可控自由度方面的优势，提升了新体制雷达的多维探测能力。
- 波形分集阵列 /
- 发射维自由度 /
- 频率分集阵列 /
- 时间分集阵列 /
- 阵元脉冲编码阵列 /
- 抗主瓣欺骗干扰 /
- 距离模糊杂波 /
- 高分宽幅成像
Abstract: It is difficult for the traditional radar to suppress deceptive mainlobe interference and separate the range ambiguous clutter. The proposal of a waveform diverse array changes the way of obtaining information through utilizing degrees-of-freedom in the transmit dimension. Through flexible system design and signal processing methods, this array enhances the ability of information extraction and improves the anti-jamming and detection performance, compared with the traditional phased array and Multiple-Input Multiple-Output (MIMO) radar. This paper summarizes the research progress of waveform diverse array radars in China and overseas and provides the basic concepts of the array diversity system regarding frequency, time, and phase modulation. Furthermore, the research trend of waveform diverse array radars has been discussed. Based on the existing basic theory and key technology research, the advantages of a waveform diverse array in providing new information about targets and increasing the additional controllable degrees-of-freedom of the system are verified, thereby improving the multidimensional detection capability of the new radar system.

HTML全文

图 1 方向图对比

Figure 1. Comparison of transmit pattern

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图 2 TDA发射方向图

Figure 2. Transmit pattern of TDA

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图 3 EPC发射波束示意图

Figure 3. Schematic diagram of transmit pattern for EPC radar

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图 4 发射方向图随距离的变化关系

Figure 4. The relationship between transmit pattern and range

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图 5 假目标产生示意图

Figure 5. Schematic diagram of false target generation

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图 6 干扰抑制原理

Figure 6. Principle of interference suppression

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图 7 FDA雷达主瓣欺骗式干扰抑制结果

Figure 7. Suppression results of deceptive interference in the mainlobe with FDA radar

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图 8 FDA雷达距离模糊信号的空间谱

Figure 8. Spatial spectrum of range ambiguious signals for FDA radar

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图 9 EPC相位编码方案

Figure 9. Phase coding scheme for EPC

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图 10 距离模糊回波分离方法

Figure 10. Separation method for range ambiguious echo

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图 11 机载雷达距离模糊杂波区域几何示意图

Figure 11. Geometric configuration of range ambiguity clutter for airborne radar

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图 12 距离模糊杂波功率谱示意图

Figure 12. Power distribution of range ambiguity clutter

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图 13 杂波功率谱IF曲线

Figure 13. IF curve of clutter power spectrum

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图 14 原理样机组成部件

Figure 14. Components of principle prototype

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图 15 外场试验场景及要素

Figure 15. Experiment scenarios and elements

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图 16 实际外场测试场景

Figure 16. Scenario of the actual outfield experiment

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图 17 杂波抑制结果

Figure 17. Results of clutter suppression

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图 18 干扰抑制结果

Figure 18. Results of interference suppression

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表 1 FDA和PA仿真参数

Table 1. Simulation parameters of FDA and PA

参数数值参数数值

发射阵元数M 10 带宽B 20 MHz
脉宽T_p 20 μs 采样率f_s 30 MHz
载频f₀ 16 GHz 阵元间距d λ₀/2
频偏 1/T_p

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表 2 TDA仿真参数

Table 2. Simulation parameters of TDA

参数数值参数数值

发射阵元数M 10 带宽B 20 MHz
脉宽T_p 20 μs 采样率f_s 30 MHz
载频f₀ 16 GHz 阵元间距d λ₀/2
时延 1/B

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表 3 雷达系统参数

Table 3. Parameters of radar

参数数值参数数值

收发通道数 16 带宽B 50 MHz
脉宽T_p 2.5 μs 采样率f_s 200 MHz
载频f₀ 9.5 GHz 阵元间距d λ₀/2

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参考文献(85)

[1]	WICKS M C. A brief history of waveform diversity[C]. 2009 IEEE Radar Conference, Pasadena, USA, 2009: 328–333. doi: 10.1109/RADAR.2009.4977142.
[2]	CAPRARO G T, BRADARIC I, and WICKS M C. Waveform diversity and electromagnetic compatibility[C]. 2007 IEEE International Symposium on Electromagnetic Compatibility, Honolulu, USA, 2007: 1–7. doi: 10.1109/ISEMC.2007.40.
[3]	GARNHAM J W and ROMAN J R. Why and what is waveform diversity, and how does it affect electromagnetics?[C]. 2007 IEEE International Symposium on Electromagnetic Compatibility, Honolulu, USA, 2007: 1–5. doi: 10.1109/ISEMC.2007.41.
[4]	GARNHAM J W and ROMAN J R. How will waveform diversity affect electromagnetic compatibility?[C]. 2007 International Waveform Diversity and Design Conference, Pisa, Italy, 2007: 98–101. doi: 10.1109/WDDC.2007.4339388.
[5]	NEHORAI A, GINI F, GRECO M S, et al. Introduction to the issue on adaptive waveform design for agile sensing and communication[J]. IEEE Journal of Selected Topics in Signal Processing, 2007, 1(1): 2–5. doi: 10.1109/jstsp.2007.897065
[6]	PAPANDREOU-SUPPAPPOLA A, NEHORAI A, and CALDERBANK R. Waveform-agile sensing and processing [From the Guest Editors][J]. IEEE Signal Processing Magazine, 2009, 26(1): 10–11. doi: 10.1109/msp.2008.930413
[7]	兰岚, 许京伟, 朱圣棋, 等. 波形分集阵列雷达抗干扰进展[J]. 系统工程与电子技术, 2021, 43(6): 1437–1451. doi: 10.12305/j.issn.1001-506X.2021.06.01 LAN Lan, XU Jingwei, ZHU Shengqi, et al. Advances in anti-jamming using waveform diverse array radar[J]. Systems Engineering and Electronics, 2021, 43(6): 1437–1451. doi: 10.12305/j.issn.1001-506X.2021.06.01
[8]	ANTONIK P, WICKS M C, GRIFFITHS H D, et al. Multi-mission multi-mode waveform diversity[C]. 2006 IEEE Conference on Radar, Verona, USA, 2006: 580–582. doi: 10.1109/RADAR.2006.1631858.
[9]	许京伟, 朱圣棋, 廖桂生, 等. 频率分集阵雷达技术探讨[J]. 雷达学报, 2018, 7(2): 167–182. doi: 10.12000/JR18023 XU Jingwei, ZHU Shengqi, LIAO Guisheng, et al. An overview of frequency diverse array radar technology[J]. Journal of Radars, 2018, 7(2): 167–182. doi: 10.12000/JR18023
[10]	WANG Wenqin. Overview of frequency diverse array in radar and navigation applications[J]. IET Radar, Sonar & Navigation, 2016, 10(6): 1001–1012. doi: 10.1049/iet-rsn.2015.0464
[11]	王文钦, 邵怀宗, 陈慧. 频控阵雷达: 概念、原理与应用[J]. 电子与信息学报, 2016, 38(4): 1000–1011. doi: 10.11999/JEIT151235 WANG Wenqin, SHAO Huaizong, and CHEN Hui. Frequency diverse array radar: Concept, principle and application[J]. Journal of Electronics &Information Technology, 2016, 38(4): 1000–1011. doi: 10.11999/JEIT151235
[12]	王文钦, 陈慧, 郑植, 等. 频控阵雷达技术及其应用研究进展[J]. 雷达学报, 2018, 7(2): 153–166. doi: 10.12000/JR18029 WANG Wenqin, CHEN Hui, ZHENG Zhi, et al. Advances on frequency diverse array radar and its applications[J]. Journal of Radars, 2018, 7(2): 153–166. doi: 10.12000/JR18029
[13]	SECMEN M, DEMIR S, HIZAL A, et al. Frequency diverse array antenna with periodic time modulated pattern in range and angle[C]. 2007 IEEE Radar Conference, Waltham, USA, 2007: 427–430. doi: 10.1109/RADAR.2007.374254.
[14]	XU Yanhong, SHI Xiaowei, XU Jingwei, et al. Beampattern analysis of planar frequency diverse array[J]. International Journal of RF and Microwave Computer-Aided Engineering, 2015, 25(5): 436–444. doi: 10.1002/mmce.20881
[15]	WANG Wenqin and SO H C. Transmit subaperturing for range and angle estimation in frequency diverse array radar[J]. IEEE Transactions on Signal Processing, 2014, 62(8): 2000–2011. doi: 10.1109/TSP.2014.2305638
[16]	KHAN W, QURESHI I M, and SAEED S. Frequency diverse array radar with logarithmically increasing frequency offset[J]. IEEE Antennas and Wireless Propagation Letters, 2014, 14: 499–502. doi: 10.1109/LAWP.2014.2368977
[17]	SHAO Huaizong, DAI Jun, XIONG Jie, et al. Dot-shaped range-angle beampattern synthesis for frequency diverse array[J]. IEEE Antennas and Wireless Propagation Letters, 2016, 15: 1703–1706. doi: 10.1109/LAWP.2016.2527818
[18]	LIU Yimin, RUAN Hang, WANG Lei, et al. The random frequency diverse array: A new antenna structure for uncoupled direction-range indication in active sensing[J]. IEEE Journal of Selected Topics in Signal Processing, 2017, 11(2): 295–308. doi: 10.1109/JSTSP.2016.2627183
[19]	BASIT A, QURESHI I M, KHAN W, et al. Beam pattern synthesis for an FDA radar with hamming window-based nonuniform frequency offset[J]. IEEE Antennas and Wireless Propagation Letters, 2017, 16: 2283–2286. doi: 10.1109/LAWP.2017.2714761
[20]	XIONG Jie, WANG Wenqin, SHAO Huaizong, et al. Frequency diverse array transmit beampattern optimization with genetic algorithm[J]. IEEE Antennas and Wireless Propagation Letters, 2016, 16: 469–472. doi: 10.1109/LAWP.2016.2584078
[21]	LAN Lan, LIAO Guisheng, XU Jingwei, et al. Range-angle pencil-beamforming for non-uniformly distributed array radar[J]. Multidimensional Systems and Signal Processing, 2018, 29(3): 867–886. doi: 10.1007/s11045-017-0477-9
[22]	WANG Wenqin, DAI Miaomiao, and ZHENG Zhi. FDA Radar ambiguity function characteristics analysis and optimization[J]. IEEE Transactions on Aerospace and Electronic Systems, 2018, 54(3): 1368–1380. doi: 10.1109/TAES.2017.2785598
[23]	XU Yanhong, SHI Xiaowei, XU Jingwei, et al. Range-angle-dependent beamforming of pulsed frequency diverse array[J]. IEEE Transactions on Antennas and Propagation, 2015, 63(7): 3262–3267. doi: 10.1109/TAP.2015.2423698
[24]	SHAO Huaizong, LI Xiong, WANG Wenqin, et al. Time-invariant transmit beampattern synthesis via weight design for FDA radar[C]. 2016 IEEE Radar Conference, Philadelphia, USA, 2016: 1–4. doi: 10.1109/RADAR.2016.7485212.
[25]	WANG Yuxi, LI Wei, HUANG Guoce, et al. Time-invariant range-angle-dependent beampattern synthesis for FDA radar targets tracking[J]. IEEE Antennas and Wireless Propagation Letters, 2017, 16: 2375–2379. doi: 10.1109/LAWP.2017.2718580
[26]	CHEN Baoxin, CHEN Xiaolong, HUANG Yong, et al. Transmit beampattern synthesis for the FDA radar[J]. IEEE Antennas and Wireless Propagation Letters, 2018, 17(1): 98–101. doi: 10.1109/LAWP.2017.2776957
[27]	XU Jingwei, LIAO Guisheng, ZHU Shengqi, et al. Joint range and angle estimation using MIMO radar with frequency diverse array[J]. IEEE Transactions on Signal Processing, 2015, 63(13): 3396–3410. doi: 10.1109/TSP.2015.2422680
[28]	XIONG Jie, WANG Wenqin, and GAO Kuandong. FDA-MIMO radar range-angle estimation: CRLB, MSE, and resolution analysis[J]. IEEE Transactions on Aerospace and Electronic Systems, 2018, 54(1): 284–294. doi: 10.1109/TAES.2017.2756498
[29]	卢刚. 雷达有源假目标抑制方法研究[D]. [博士论文], 电子科技大学, 2008. LU Gang. Study of algorithms on suppression of radar active false targets[D]. [Ph. D. dissertation], University of Electronic Science and Technology of China, 2008.
[30]	XU Jingwei, LIAO Guisheng, ZHU Shengqi, et al. Deceptive jamming suppression with frequency diverse MIMO radar[J]. Signal Processing, 2015, 113: 9–17. doi: 10.1016/j.sigpro.2015.01.014
[31]	LAN Lan, LIAO Guisheng, XU Jingwei, et al. Suppression approach to main-beam deceptive jamming in FDA-MIMO radar using nonhomogeneous sample detection[J]. IEEE Access, 2018, 6(1): 34582–34597. doi: 10.1109/ACCESS.2018.2850816
[32]	LAN Lan, LIAO Guisheng, and XU Jingwei. A method to suppress the main-beam deceptive jamming in FDA-MIMO radar with random polyphase codes[C]. The 10th Sensor Array and Multichannel Signal Processing Workshop, Sheffield, UK, 2018: 509–513. doi: 10.1109/SAM.2018.8448892.
[33]	谭清莉, 张艺乐, 张伟, 等. FDA-MIMO雷达主瓣欺骗干扰对抗方法[J]. 雷达科学与技术, 2017, 15(6): 671–676. doi: 10.3969/j.issn.1672-2337.2017.06.017 TAN Qingli, ZHANG Yile, ZHANG Wei, et al. A method of mainlobe deception jamming countermeasure in FDA-MIMO radar[J]. Radar Science and Technology, 2017, 15(6): 671–676. doi: 10.3969/j.issn.1672-2337.2017.06.017
[34]	张昭建, 谢军伟, 李欣, 等. 基于FDA-MIMO的距离欺骗干扰鉴别方法[J]. 北京航空航天大学学报, 2017, 43(4): 738–746. doi: 10.13700/j.bh.1001-5965.2016.0257 ZHANG Zhaojian, XIE Junwei, LI Xin, et al. Discrimination method of range deception jamming based on FDA-MIMO[J]. Journal of Beijing University of Aeronautics and Astronautics, 2017, 43(4): 738–746. doi: 10.13700/j.bh.1001-5965.2016.0257
[35]	张劲东, 李彧晟, 朱晓华. 基于波形分集的雷达抗欺骗干扰[J]. 数据采集与处理, 2010, 25(2): 138–142. doi: 10.3969/j.issn.1004-9037.2010.02.002 ZHANG Jindong, LI Yusheng, and ZHU Xiaohua. Approach of radar against deception jamming based on waveform diversity[J]. Journal of Data Acquisition &Processing, 2010, 25(2): 138–142. doi: 10.3969/j.issn.1004-9037.2010.02.002
[36]	LI Zhihui, ZHANG Yongshun, GE Qichao, et al. A robust deceptive jamming suppression method based on covariance matrix reconstruction with frequency diverse array MIMO radar[C]. 2017 IEEE International Conference on Signal Processing, Communications and Computing (ICSPCC), Xiamen, China, 2017: 1–5. doi: 10.1109/ICSPCC.2017.8242590.
[37]	WANG Yuzhuo and ZHU Shengqi. Range Ambiguous clutter suppression for FDA-MIMO forward looking airborne radar based on main lobe correction[J]. IEEE Transactions on Vehicular Technology, 2021, 70(3): 2032–2046. doi: 10.1109/TVT.2021.3057436
[38]	WANG Yuzhuo and ZHU Shengqi. Main-beam range deceptive jamming suppression with simulated annealing FDA-MIMO radar[J]. IEEE Sensors Journal, 2020, 20(16): 9056–9070. doi: 10.1109/JSEN.2020.2982194
[39]	XU Jingwei, ZHU Shengqi, and LIAO Guisheng. Range ambiguous clutter suppression for airborne FDA-STAP radar[J]. IEEE Journal of Selected Topics in Signal Processing, 2015, 9(8): 1620–1631. doi: 10.1109/JSTSP.2015.2465353
[40]	XU Jingwei, LIAO Guisheng, and SO H C. Space-time adaptive processing with vertical frequency diverse array for range-ambiguous clutter suppression[J]. IEEE Transactions on Geoscience and Remote Sensing, 2016, 54(9): 5352–5364. doi: 10.1109/TGRS.2016.2561308
[41]	XU Jingwei, LIAO Guisheng, ZHANG Yuhong, et al. An adaptive range-angle-Doppler processing approach for FDA-MIMO radar using three-dimensional localization[J]. IEEE Journal of Selected Topics in Signal Processing, 2017, 11(2): 309–320. doi: 10.1109/JSTSP.2016.2615269
[42]	WEN Cai, PENG Jinye, ZHOU Yan, et al. Enhanced three-dimensional joint domain localized STAP for airborne FDA-MIMO radar under dense false-target jamming scenario[J]. IEEE Sensors Journal, 2018, 8(10): 4154–4166. doi: 10.1109/JSEN.2018.2820905
[43]	WANG Wenqin, SO H C, and SHAO Huaizong. Nonuniform frequency diverse array for range-angle imaging of targets[J]. IEEE Sensors Journal, 2014, 14(8): 2469–2476. doi: 10.1109/JSEN.2014.2304720
[44]	王成浩, 廖桂生, 许京伟. FDA-SAR 高分辨宽测绘带成像距离解模糊方法[J]. 电子学报, 2017, 45(9): 2085–2091. doi: 10.3969/j.issn.0372-2112.2017.09.005 WANG Chenghao, LIAO Guisheng, and XU Jingwei. Range ambiguity resolving method for high-resolution and wide-swath imaging with FDA-SAR[J]. Acta Electronica Sinica, 2017, 45(9): 2085–2091. doi: 10.3969/j.issn.0372-2112.2017.09.005
[45]	XU Luzhou, LI Jian, and STOICA P. Radar imaging via adaptive MIMO techniques[C]. The 14th European Signal Processing Conference, Florence, Italy, 2006.
[46]	LI Jian and STOICA P. MIMO radar with colocated antennas[J]. IEEE Signal Processing Magazine, 2007, 24(5): 106–114. doi: 10.1109/MSP.2007.904812
[47]	TABRIKIAN J. Bounds for target localization by MIMO radars[C]. The Fourth IEEE Workshop on Sensor Array and Multichannel Processing, 2006, Waltham, USA, 2006: 278–281. doi: 10.1109/SAM.2006.1706137.
[48]	HUA Guang and ABEYSEKERA S S. MIMO radar transmit beampattern design with ripple and transition band control[J]. IEEE Transactions on Signal Processing, 2013, 61(11): 2963–2974. doi: 10.1109/TSP.2013.2252173
[49]	BABUR G, AUBRY P, and CHEVALIER F L. Space-time radar waveforms: Circulating codes[J]. Journal of Electrical and Computer Engineering, 2013, 2013: 809691. doi: 10.1155/2013/809691
[50]	CHEVALIER F L. Space-time transmission and coding for airborne radars[J]. Radar Science and Technology, 2008, 6(6): 411–421.
[51]	MELVIN W L and SCHEER J A. Principles of Modern Radar: Advanced Techniques[M]. Edison: SciTech, 2013.
[52]	BABUR G, AUBRY P, and CHEVALIER F L. Space-time codes for active antenna systems: Comparative performance analysis[C]. The IET International Radar Conference 2013, Xi’an, China, 2013: 1–6. doi: 10.1049/cp.2013.0240.
[53]	FAUCON T, PINAUD G, and CHEVALIER F L. Mismatched filtering for circulating space-time codes[C]. The IET International Radar Conference 2015, Hangzhou, China, 2015. doi: 10.1049/cp.2015.1185.
[54]	BABUR G, AUBRY P, and CHEVALIER F L. Simple transmit diversity technique for phased array radar[J]. IET Radar, Sonar & Navigation, 2016, 10(6): 1046–1056. doi: 10.1049/iet-rsn.2015.0311
[55]	ROUSSEL K, BABUR G, and CHEVALIER F L. Optimization of low sidelobes radar waveforms: Circulating codes[C]. 2014 International Radar Conference, Lille, France, 2014: 1–6. doi: 10.1109/RADAR.2014.7060290.
[56]	BABUR G, AUBRY P J, and CHEVALIER F L. Antenna coupling effects for space-time radar waveforms: Analysis and calibration[J]. IEEE Transactions on Antennas and Propagation, 2014, 62(5): 2572–2586. doi: 10.1109/TAP.2014.2309111
[57]	BABUR G, MANOKHIN G O, GELTSER A A, et al. Low-cost digital beamforming on receive in phased array radar[J]. IEEE Transactions on Aerospace and Electronic Systems, 2017, 53(3): 1355–1364. doi: 10.1109/TAES.2017.2671078
[58]	BABUR G, MANOKHIN G O, MONASTYREV E A, et al. Simple calibration technique for phased array radar systems[J]. Progress in Electromagnetics Research M, 2017, 55: 109–119. doi: 10.2528/PIERM16101203
[59]	LI Shengyuan, LIU Nan, ZHANG Linrang, et al. Transmit beampattern synthesis for MIMO radar using extended circulating code[J]. IET Radar, Sonar & Navigation, 2018, 12(6): 610–616. doi: 10.1049/iet-rsn.2017.0386
[60]	WANG Huake, LIAO Guisheng, ZHANG Yuhong, et al. Transmit beampattern synthesis for chirp space-time coding array by time delay design[J]. Digital Signal Processing, 2021, 110: 102901. doi: 10.1016/j.dsp.2020.102901
[61]	WANG Huake, LIAO Guisheng, XU Jingwei, et al. Direction-of-Arrival estimation for circulating space-time coding arrays: From beamspace MUSIC to spatial smoothing in the transform domain[J]. Sensors, 2018, 18(11): 3689. doi: 10.3390/s18113689
[62]	LI Shengyuan, ZHANG Linrang, LIU Nan, et al. Transmit diversity technique based on joint slow-time coding with circulating code[J]. IET Radar, Sonar & Navigation, 2017, 11(8): 1243–1250. doi: 10.1049/iet-rsn.2016.0595
[63]	王华柯, 廖桂生, 许京伟, 等. 空时编码阵波束域超分辨角度估计方法[J]. 系统工程与电子技术, 2019, 41(7): 1433–1440. doi: 10.3969/j.issn.1001-506X.2019.07.01 WANG Huake, LIAO Guisheng, XU Jingwei, et al. Beam-space MUSIC spectral estimation method based on the Space-time coding array[J]. Systems Engineering and Electronics, 2019, 41(7): 1433–1440. doi: 10.3969/j.issn.1001-506X.2019.07.01
[64]	NUNN C J and COXSON G E. Best-known autocorrelation peak sidelobe levels for binary codes of length 71 to 105[J]. IEEE Transactions on Aerospace and Electronic Systems, 2008, 44(1): 392–395. doi: 10.1109/TAES.2008.4517015
[65]	NUNN C J and COXSON G E. Polyphase pulse compression codes with optimal peak and integrated sidelobes[J]. IEEE Transactions on Aerospace and Electronic Systems, 2009, 45(2): 775–781. doi: 10.1109/TAES.2009.5089560
[66]	BORDONI F, YOUNIS M, and KRIEGER G. Ambiguity suppression by azimuth phase coding in multichannel SAR systems[J]. IEEE Transactions on Geoscience and Remote Sensing, 2012, 50(2): 617–629. doi: 10.1109/TGRS.2011.2161672
[67]	WANG Hanbing, ZHANG Yuhong, XU Jingwei, et al. Range ambiguity suppression in a synthetic aperture radar using pulse phase coding and two-pulse cancellation[J]. International Journal of Remote Sensing, 2018, 39(20): 6525–6539. doi: 10.1080/01431161.2018.1460509
[68]	DALL J and KUSK A. Azimuth phase coding for range ambiguity suppression in SAR[C]. 2004 IEEE International Geoscience and Remote Sensing Symposium, Anchorage, USA, 2004: 1734–1737. doi: 10.1109/IGARSS.2004.1370667.
[69]	KRIEGER G, GEBERT N, and MOREIRA A. Multidimensional waveform encoding: A new digital beamforming technique for synthetic aperture radar remote sensing[J]. IEEE Transactions on Geoscience and Remote Sensing, 2008, 46(1): 31–46. doi: 10.1109/TGRS.2007.905974
[70]	LOMBARDO P, PASTINA D, and TURIN F. Ground moving target detection based on MIMO SAR systems[J]. IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2015, 8(11): 5081–5095. doi: 10.1109/JSTARS.2015.2461594
[71]	KIM J H, YOUNIS M, MOREIRA A, et al. Spaceborne MIMO synthetic aperture radar for multimodal operation[J]. IEEE Transactions on Geoscience and Remote Sensing, 2015, 53(5): 2453–2466. doi: 10.1109/TGRS.2014.2360148
[72]	DENG Hai and HIMED B. Interference mitigation processing for spectrum-sharing between radar and wireless communications systems[J]. IEEE Transactions on Aerospace and Electronic Systems, 2013, 49(3): 1911–1919. doi: 10.1109/TAES.2013.6558027
[73]	弗朗索瓦·勒舍瓦利耶. 机载雷达的空时发射与编码[J]. 雷达科学与技术, 2008, 6(6): 411–421. doi: 10.3969/j.issn.1672-2337.2008.06.003 CHEVALIER F L. Space-time transmission and coding for airborne radars[J]. Radar Science and Technology, 2008, 6(6): 411–421. doi: 10.3969/j.issn.1672-2337.2008.06.003
[74]	JAJAMOVICH G H, LOPS M, and WANG Xiaodong. Space-time coding for MIMO radar detection and ranging[J]. IEEE Transactions on Signal Processing, 2010, 58(12): 6195–6206. doi: 10.1109/TSP.2010.2072923
[75]	WANG Huake, QUAN Yinghui, LIAO Guisheng, et al. Space-time coding technique for coherent frequency diverse array[J]. IEEE Transactions on Signal Processing, 2021, 69: 5994–6008. doi: 10.1109/TSP.2021.3114998
[76]	CALVARY P and JANER D. Spatio-temporal coding for radar array processing[C]. The 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, Seattle, USA, 1998: 2509–2512. doi: 10.1109/ICASSP.1998.681661.
[77]	SONG Xiufeng, ZHOU Shengli, and WILLETT P. Reducing the waveform cross correlation of MIMO radar with space-time coding[J]. IEEE Transactions on Signal Processing, 2010, 58(8): 4213–4224. doi: 10.1109/TSP.2010.2048207
[78]	XU Jingwei, ZHANG Yuhong, LIAO Guisheng, et al. Resolving range ambiguity via multiple-input multiple-output radar with element-pulse coding[J]. IEEE Transactions on Signal Processing, 2020, 68: 2770–2783. doi: 10.1109/TSP.2020.2988371
[79]	XU Jingwei and SO H C. Study on coding scheme with EPC-MIMO radar in clutter-free scenario[C]. 2020 IEEE 11th Sensor Array and Multichannel Signal Processing Workshop (SAM), Hangzhou, China, 2020. doi: 10.1109/SAM48682.2020.9104270.
[80]	LAN Lan, LIAO Guisheng, XU Jingwei, et al. Mainlobe deceptive jammer suppression using element-pulse coding with MIMO radar[J]. Signal Processing, 2021, 182: 107955. doi: 10.1016/j.sigpro.2020.107955
[81]	WANG Hanbing, ZHANG Yuhong, XU Jingwei, et al. Study on coding scheme for space-pulse-phase-coding-based high-resolution and wide-swath SAR imaging[J]. International Journal of Remote Sensing, 2020, 41(18): 7202–7216. doi: 10.1080/01431161.2020.1754498
[82]	WANG Hanbing, ZHANG Yuhong, XU Jingwei, et al. A novel range ambiguity resolving approach for high-resolution and wide-swath SAR imaging utilizing space-pulse phase coding[J]. Signal Processing, 2020, 168: 107323. doi: 10.1016/j.sigpro.2019.107323
[83]	许京伟, 兰岚, 朱圣棋, 等. 相干频率分集阵雷达匹配滤波器设计[J]. 系统工程与电子技术, 2018, 40(8): 1720–1728. doi: 10.3969/j.issn.1001-506X.2018.08.08 XU Jingwei, LAN Lan, ZHU Shengqi, et al. Design of matched filter for coherent FDA radar[J]. Systems Engineering and Electronics, 2018, 40(8): 1720–1728. doi: 10.3969/j.issn.1001-506X.2018.08.08
[84]	LAN Lan, LIAO Guisheng, XU Jingwei, et al. Transceive beamforming with accurate nulling in FDA-MIMO radar for imaging[J]. IEEE Transactions on Geoscience and Remote Sensing, 2020, 58(6): 4145–4159. doi: 10.1109/TGRS.2019.2961324
[85]	WANG Chenghao, XU Jingwei, LIAO Guisheng, et al. A range ambiguity resolution approach for high-resolution and wide-swath SAR imaging using frequency diverse array[J]. IEEE Journal of Selected Topics in Signal Processing, 2017, 11(2): 336–346. doi: 10.1109/JSTSP.2016.2605064