杜芬振子检测弱信号的时频积数值分析

Numerical Analysis of Weak Signal Detection'TF Based on Duffing Oscillator

杜芬振子能有效检测出淹没在噪声中的周期信号,并且对噪声具有免疫力,驱动信号数据长度对于提高振子检测性能具有重要意义。现有文献使用较长的待测信号驱动杜芬振子,需要进行大量的运算。针对此问题,研究了杜芬振子能检测的最短信号以及不降低检测性能同时计算量小最佳信号长度。研究发现,杜芬振子能检测的最短信号及最佳信号长度与待测信号的时频积有关,本方法采用待测信号时域长度与角频率的乘积即时频积(TF)为衡量指标,并以此鉴定杜芬振子的检测性能:最短信号在37 rad<TF<38 rad时取得,最佳信号长度在260 rad<TF<280 rad时取得。

Duffing oscillator can effectively detect the periodic signal submerged in noise and it’s immunity to noise. The length of the driving signal is very important for improving the performance of the detection. The existing literature uses the longer signal to drive Duffing Oscillator,which needs a large number of operations. In order to solve this problem,this paper studied the shortest signal Duffing Oscillator can detect and the best signal length which has the best detection performance and the smaller computation.The research finds that the shortest signal and the best signal length are related to the TF. This paper used TF（ the product of the signal length and the angular frequency） to measure the performance. The shortest signal length was obtained when 37 rad 〈 TF 〈 38 rad and the optimal signal length was obtained when260 rad 〈 TF 〈 280 rad.