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

doi:10.13700/j.bh.1001-5965.2019.0032

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

1.
北京理工大学机电动态控制重点实验室, 北京 100081
2.
北京京航计算通讯研究所, 北京 100074

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
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出版历程
- 收稿日期: 2019-01-22
- 录用日期: 2019-04-26
- 网络出版日期: 2019-10-20

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

1.
Science and Technology on Electromechanical Dynamic Control Laboratory, Beijing Institute of Technology, Beijing 100081, China
2.
Beijing Jinghang Research Institute of Computing and Communication, Beijing 100074, China

Funds:

National Natural Science Foundation of China 61673066

More Information

Corresponding author: YAN Xiaopeng, E-mail:yanxiaopeng@bit.edu.cn

摘要

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。
- 调频连续波(FMCW)引信 /
- Duffing振子 /
- 小周期态 /
- 可停振动系统 /
- 信噪比(SNR)
Abstract:
Aimed at the problem that the signal of frequency-modulated continuous wave (FMCW) fuze is very difficult to detect at ultra-low signal to noise ratio (SNR), a detection system based on small-scale periodic state Duffing oscillator is established. This system combines Duffing oscillator characteristics with stopping oscillation system theory, eliminating the inherent deficiencies of the traditional transformation-dependent Duffing oscillator detection methods, extending the frequency detection range through a single Duffing oscillator, and reducing the computing cost. On this basis, the phase trajectory characteristics of the small-scale periodic state are analyzed, and then a FMCW fuze signal detection method based on small-scale periodic state Duffing oscillator is proposed. The experimental results show that the small-scale periodic state Duffing oscillator detection method has an average detection error of less than 1% for the real FMCW fuze radiation signal at -30 dB ultra-low SNR, which verifies the effectiveness of the proposed method.
- frequency-modulated continuous wave (FMCW) fuze /
- Duffing oscillator /
- small-scale periodic state /
- stopping oscillation system /
- signal to noise ratio (SNR)

HTML全文

图 1 三角波调频信号时频特性

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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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	[f_L, f_H]/MHz
b/(Hz·s^-1)	f/MHz	SNR/dB	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]

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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

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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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