Duffing振子变尺度未知多频微弱信号提取方法研究  

Study on Extraction Method of Multi-frequency Weak Signal with Unknown Variable Scale of Duffing Oscillator

作　　者：黄继尧 陈长兴[1] 凌云飞 蔺向阳 HUANG Ji-yao;CHEN Chang-xing;LING Yun-fei;LIN Xiang-yang(Basic Department,Air Force Engineering University, Xi’an 710043,China)

机构地区：[1]空军工程大学基础部

出　　处：《仪表技术与传感器》2019年第5期113-117,123,共6页Instrument Technique and Sensor

基　　金：国家自然科学基金(61701534)

摘　　要：针对检测模型只能同时检测某一频率的待测信号,研究了基于傅里叶变换的Duffing振子变尺度微弱信号检测方法,提出了一种可同时检测多个未知频率微弱信号的Duffing振子优化模型。该模型通过傅里叶与反傅里叶变换、频率截取和尺度变换后,得到相图在经过判决后输出结果。仿真结果表明,提出的方法可以实现提取未知多频微弱信号各信号分量的频率参数。该方法为微弱多频信号处理提供了一种解决方案,拓宽了Duffing振子在微弱信号检测领域的应用。Aiming that the detection model can only detect the signal to be tested at a certain frequency at the same time, the method of measuring the weak signal of the variable scale of Duffing oscillator based on Fourier transform was studied.An opti mization model of the Duffing oscillator was proposed which can simultaneously detect several faint signals of unknown frequen cies. By means of Fourier and inverse Fourier transform, frequency intercept and scale transform, the model got the output result of phase diagram after judgment. Simulation results show that the proposed method can extract the frequency parameters of each signal component of the unknown multi frequency weak signal. This method provides a solution for weak multi frequency signal processing and broadens the application of Duffing oscillator in the field of weak signal detection.

关 键 词：DUFFING 振子 变尺度微弱信号检测方法 未知频率微弱信号 优化模型 

分 类 号：TN911[电子电信—通信与信息系统]