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超低信噪比调频连续波引信信号小周期态Duffing振子检测

朱志强 侯健 闫晓鹏 栗苹 郝新红

朱志强, 侯健, 闫晓鹏, 等 . 超低信噪比调频连续波引信信号小周期态Duffing振子检测[J]. 北京航空航天大学学报, 2019, 45(10): 2069-2078. doi: 10.13700/j.bh.1001-5965.2019.0032
引用本文: 朱志强, 侯健, 闫晓鹏, 等 . 超低信噪比调频连续波引信信号小周期态Duffing振子检测[J]. 北京航空航天大学学报, 2019, 45(10): 2069-2078. doi: 10.13700/j.bh.1001-5965.2019.0032
ZHU Zhiqiang, HOU Jian, YAN Xiaopeng, et al. Small-scale periodic state Duffing oscillator FMCW fuze signal detection at ultra-low SNR[J]. Journal of Beijing University of Aeronautics and Astronautics, 2019, 45(10): 2069-2078. doi: 10.13700/j.bh.1001-5965.2019.0032(in Chinese)
Citation: ZHU Zhiqiang, HOU Jian, YAN Xiaopeng, et al. Small-scale periodic state Duffing oscillator FMCW fuze signal detection at ultra-low SNR[J]. Journal of Beijing University of Aeronautics and Astronautics, 2019, 45(10): 2069-2078. doi: 10.13700/j.bh.1001-5965.2019.0032(in Chinese)

超低信噪比调频连续波引信信号小周期态Duffing振子检测

doi: 10.13700/j.bh.1001-5965.2019.0032
基金项目: 

国家自然科学基金 61673066

详细信息
    作者简介:

    朱志强  男, 硕士研究生。主要研究方向:无线电引信对抗技术

    侯健  女, 博士。主要研究方向:引信信息对抗技术、微弱信号检测技术

    闫晓鹏  男, 博士, 教授, 博士生导师。主要研究方向:引信信息对抗技术、引信电磁环境与效应、引信信号处理技术

    通讯作者:

    闫晓鹏, E-mail:yanxiaopeng@bit.edu.cn

  • 中图分类号: TJ43+4.1

Small-scale periodic state Duffing oscillator FMCW fuze signal detection at ultra-low SNR

Funds: 

National Natural Science Foundation of China 61673066

More Information
  • 摘要:

    针对超低信噪比(SNR)下调频连续波(FWCW)引信信号难以检测的问题,结合Duffing振子特性和可停振动系统理论,建立了小周期态Duffing振子检测系统。该系统能够克服传统Duffing振子强参考信号检测的固有缺陷,扩展单个Duffing振子的信号频率检测范围,并降低算法复杂度。在此基础上,分析Duffing振子相轨迹特性,提出了基于小周期态Duffing振子的调频连续波引信信号检测方法。实验结果表明,小周期态Duffing振子检测方法在-30 dB的超低信噪比下对真实调频引信辐射信号的平均检测误差小于1%,验证了本文方法的有效性。

     

  • 图 1  三角波调频信号时频特性

    Figure 1.  Time-frequency characteristics of triangular wave frequency-modulated signal

    图 2  Duffing振子系统相轨迹周期性的状态转换

    Figure 2.  Periodic state transitions of phase trajectory of Duffing oscillator system

    图 3  不同输入信号策动下小周期态Duffing振子系统的相轨迹图

    Figure 3.  Phase trajectories of small-scale periodic state Duffing oscillator system driven by different input signals

    图 4  待测信号时域波形和相空间角正余弦波形

    Figure 4.  Time domain waveform of to-be-detected signal and sine cosine waveform in phase spale

    图 5  频率差较大时小周期态Duffing振子系统输出的时域波形

    Figure 5.  Time domain waveform of outputs of small-scale periodic state Duffing oscillator system when frequency difference is large

    图 6  线性调频信号的频率平均检测精度与信噪比和频率变化率的关系

    Figure 6.  Relationship among average frequency detection accuracy, SNR and frequency slope of chirp signals

    图 7  -20 dB信噪比下三角波调频信号时域波形和频谱图

    Figure 7.  Time domain waveform and spectrogram of triangular wave frequency-modulated signal while SNR is -20 dB

    图 8  -20 dB信噪比下三角波调频信号时频特性

    Figure 8.  Time-frequency characteristics of triangular wave frequency-modulated signal while SNR is -20 dB

    图 9  -35 dB信噪比下3种调频引信信号的时频特性和测量误差

    Figure 9.  Time-frequency characteristics and measurement error of three types of frequency-modulated fuze signals while SNR is -35 dB

    图 10  -20 dB信噪比下某调频引信信号时频特性

    Figure 10.  Time-frequency characteristics of signal of a FMCW fuze while SNR is -20 dB

    表  1  单个Duffing振子的频率检测范围

    Table  1.   Frequency detection range with single Duffing oscillator

    b/(Hz·s-1) f/MHz SNR/dB [fL, fH]/MHz
    小周期态检测模型 强参考信号检测模型
    0 50 -20 [0.17, 254] [47.7, 52.1]
    1012 50 -20 [0.21, 212] [48.2, 51.4]
    下载: 导出CSV

    表  2  不同信噪比条件下三角波调频信号频率测量误差

    Table  2.   Frequency measurement errors of triangular wave frequency-modulated signal at different SNRs

    SNR/dB 强参考信号阵列检测方法测量误差/% 小周期态检测方法测量误差/%
    -10 0.286 5 0.280 1
    -20 1.243 0 0.288 0
    -30 3.145 5 0.307 4
    -35 9.010 4 0.464 4
    下载: 导出CSV

    表  3  不同信噪比条件下某调频引信真实信号频率测量误差

    Table  3.   Frequency measurement errors of signal of a FMCW fuze at different SNRs

    SNR/dB 测量误差/%
    -10 0.282 4
    -20 0.494 5
    -30 0.652 8
    -35 1.113 6
    下载: 导出CSV
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出版历程
  • 收稿日期:  2019-01-22
  • 录用日期:  2019-04-26
  • 刊出日期:  2019-10-20

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