吉林大学学报(工学版) ›› 2025, Vol. 55 ›› Issue (7): 2434-2443.doi: 10.13229/j.cnki.jdxbgxb.20231089

• 通信与控制工程 • 上一篇    

基于互补相位与离散混沌频率联合编码的低截获概率雷达波形设计

张顺生1(),杜龙1,王文钦2   

  1. 1.电子科技大学 电子科学技术研究院，成都 611731
    2.电子科技大学 信息与通信工程学院，成都 611731
  • 收稿日期:2023-10-11 出版日期:2025-07-01 发布日期:2025-09-12
  • 作者简介:张顺生（1980-），男，研究员，博士. 研究方向：雷达信号处理.E-mail： zhangss@uestc.edu.cn
  • 基金资助:
    国家部委基金项目

Low probability of interception radar waveform design based on joint coding of complementary phase and discrete chaotic frequency

Shun-sheng ZHANG1(),Long DU1,Wen-qin WANG2   

  1. 1.Research Institute of Electronic Science and Technology，University of Electronic Science and Technology of China，Chengdu 611731，China
    2.School of Information and Communication Engineering，University of Electronic Science and Technology of China，Chengdu 611731，China
  • Received:2023-10-11 Online:2025-07-01 Published:2025-09-12

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摘要：

为了降低雷达辐射的信号被敌方无源探测系统侦测的概率，本文提出了一种相位与频率联合编码的低截获雷达波形设计方法。该方法在线性调频信号的基础上，利用互补二相码以及混沌序列分别对脉内调制进行相位编码和频率编码。数值仿真实验结果表明：本文所设计波形在时频域上呈现出伪随机性的特点，低识别性能得到提高；该信号在匹配滤波后具有极低的峰值旁瓣电平，表现出优良的低截获性能；其三维模糊函数图呈现出理想的“图钉型”，具有良好的距离、速度分辨力及抗干扰特性。

关键词: 信号与信息处理, 低截获雷达, 射频隐身, 互补码, 混沌序列, 联合编码

Abstract:

To reduce the probability of radar radiation signals being detected by enemy passive detection systems， this paper proposes a low-intercept radar waveform design method that employs phase and frequency joint coding. The method utilizes complementary two-phase codes and chaotic sequences to encode the phase and frequency within the pulse based on linear frequency modulation signals. Numerical simulation results show that the designed waveform exhibits pseudo-randomness in the time-frequency domain and improves the low-identification performance. The signal has a very low peak side lobe level after pulse compression， which demonstrates excellent low intercept performance. Its three-dimensional ambiguity function graph shows an ideal "peg shape" with good distance and speed resolution and anti-interference characteristics.

Key words: signal and information processing, low-intercept radar, radio-frequency stealth, complementary codes, chaotic sequence, joint coding

中图分类号: 

  • TN974

图1

互补码的自相关函数"

图2

脉冲交替发射模式"

图3

Bernoulli映射"

图4

LFM-CPC-DCFC信号生成流程图"

表1

信号仿真参数"

参数参数值
脉冲重复频率/Hz2 500
子脉冲宽度/μs10
带宽/MHz10
频率间隔/MHz1
脉冲个数/个32
子脉冲个数/个32
采样率/MHz84
混沌映射类型Bernoulli映射
混沌映射初值-0.096
混沌映射参数2
混沌序列长度1 024

图5

不同信号的频谱特性"

图6

LFM-CPC-DCFC信号三维时频域分布图"

图7

LFM-CPC-DCFC信号单个脉冲中的时频域分布图"

图8

LFM-CPC-DCFC信号的匹配滤波结果"

图9

LFM-CPC-DCFC信号的模糊函数分析"

表2

截获因子比较"

LPI信号时宽带宽积/（s·Hz）截获因子
LFM-CPC-DCFC8 3300.82
LFM2 9481.06
NLFM1 7661.21
LFM-CPC2 9571.06
LFM-DCFC7 8600.83
文献［1］所设计波形2 9441.06
文献［3］所设计波形4 6180.95

表3

匹配滤波结果比较"

LPI信号PSLL/dB积分旁瓣电平/dB
LFM-CPC-DCFC-40.75-49.85
LFM-13.29-33.28
NLFM-26.90-43.22
LFM-CPC-13.41-41.40
LFM-DCFC-26.40-34.43
文献［1］所设计波形-23.06-35.18
文献［3］所设计波形-28.32-38.96

图10

截获概率随发射功率的变化"

[1] 路晴辉. 机载认知雷达射频隐身波形设计及处理方法[D]. 成都: 电子科技大学信息与通信工程学院,2022.
Lu Qing-hui. Radio frequency stealth waveform design and processing method for airborne cognitive radar[D]. Chengdu: School of Information and Communication Engineering, University of Electronic Science and Technology of China,2022.
[2] 贾金伟, 刘利民, 韩壮志, 等. 射频隐身雷达波形设计技术研究综述[J]. 电光与控制,2022, 29(8): 57-64, 78.
Jia Jin-wei, Liu Li-min, Han Zhuang-zhi, et al.A survey on waveform design technology of RF stealth radar[J]. Electronics Optics & Control, 2022, 29(8): 57-64, 78.
[3] 付银娟, 李勇, 徐丽琴, 等. NLFM-Costas射频隐身雷达信号设计及分析[J]. 吉林大学学报: 工学版, 2019, 49(3): 994-999.
Fu Yin-juan, Li Yong, Xu Li-qin, et al. Design and analysis of NLFM⁃Costas RF stealth radar signal[J]. Journal of Jilin University(Engineering and Technology Edition), 2019, 49(3): 994-999.
[4] 潘玮. LPI雷达信号波形设计与分析[D]. 郑州: 解放军信息工程大学信息工程学院, 2012.
Pan Wei. Design and analysis on signal waveform for LPI radar[D]. Zhengzhou: School of Information Engineering, PLA Information Engineering University, 2012.
[5] Savci K, Galati G, Pavan G. Low-PAPR waveforms with shaped spectrum for enhanced low probability of intercept noise radars[J]. Remote Sensing, 2021, 13(12): No. 2372.
[6] Liu X Y, Zhang T X, Yu X X, et al. LPI waveform design for radar system against cyclostationary analysis intercept processing[J]. Signal Processing, 2022, 201: No.108681.
[7] Gong P C, Zhang Z Y, Wu Y T, et al. Joint design of transmit waveform and receive beamforming for LPI FDA-MIMO radar[J]. IEEE Signal Processing Letters, 2022, 29: 1938-1942.
[8] Golay M. Complementary series[J]. IEEE Transactions on Information Theory, 1961, 7(2): 82-87.
[9] Sivaswamy R. Multiphase complementary codes[J]. IEEE Transactions on Information Theory, 1978, 24(5): 546-552.
[10] Song Y X, Wang Y, Xie J Y, et al. Ultra-low sidelobe waveforms design for LPI radar based on joint complementary phase-coding and optimized discrete frequency-coding[J]. Remote Sensing, 2022, 14(11): No.2592.
[11] Wang Z, Ahmadi A, Tian H G, et al. Lower-dimensional simple chaotic systems with spectacular features[J]. Chaos, Solitons & Fractals, 2023, 169: No.113299.
[12] 杨启伦. 混沌噪声雷达信号模型及其应用研究[D]. 北京: 中国科学院研究生院(空间科学与应用研究中心), 2015.
Yang Qi-lun. Study on signal model for chaotic noise radar and its application[D]. Beijing: University of Chinese Academy of Sciences(Center for Space Science and Applied Research), 2015.
[13] 丁鹭飞, 耿富录, 陈建春. 雷达原理[M].4版. 北京: 电子工业出版社, 2009: 478,497-498.
[14] Jia J W, Liu L M, Liang Y Y, et al. Chaotic mapping-based anti-sorting radio frequency stealth signals and compressed sensing-based echo signal processing technology[J]. Entropy, 2022, 24(11): No.1559.
[15] 吴华, 史忠亚, 沈文迪, 等. 基于混沌理论的低截获概率雷达波形设计[J]. 计算机工程与应用, 2017, 53(11): 241-244.
Wu Hua, Shi Zhong-ya, Shen Wen-di, et al. Design of LPI radar waveform based on chaos theory[J]. Computer Engineering and Applications, 2017, 53(11): 241-244.
[16] Faundez-Zanuy M. On the vulnerability of biometric security systems[J]. IEEE Aerospace and Electronic Systems Magazine, 2004, 19(6): 3-8.
[17] Schleher D C. Low probability of intercept radar[C]∥ IEEE International Radar Conference,New York, USA, 1985: 346-349.
[18] 张文恒. 低截获概率雷达技术研究[D]. 成都: 电子科技大学信息与通信工程学院, 2013: 10.
Zhang Wen-heng. Researcch on the low probability of intercept radar technology[D]. Chengdu: School of Information and Communication Engineering, University of Electronic Science and Technology of China, 2013: 10.
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