超低信噪比调频连续波引信信号小周期态 Duffing振子检测

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。 

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

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.