Analysis of a kind of Duffing oscillator system used to detect weak signals
Analysis of a kind of Duffing oscillator system used to detect weak signals
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DOI：
10.1088/1009-1963/16/4/035
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发表时间：
2007-04
期刊：
影响因子：
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通讯作者：
Li Yue;Bao-jun Yang;Yuan Ye;Xiao-Hua Liu
中科院分区：
文献类型：
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作者：
Li Yue;Bao-jun Yang;Yuan Ye;Xiao-Hua Liu
利用Yoshizaw定理证明了杜芬振子系统周期解在周期相位状态下的稳定性，为利用此类混沌振子系统检测微弱信号奠定了理论基础。系统的恢复力项直接影响系统的微弱信号检测能力，通过大量仿真实验得到了杜芬振子系统恢复力的线性项和非线性项的系数与微弱信号检测中的信噪比之间的定量关系，进而建立了新的检测效果更好的恢复力函数。
The stability of the periodic solution of the Duffing oscillator system in the periodic phase state is proved by using the Yoshizaw theorem, which establishes a theoretical basis for using this kind of chaotic oscillator system to detect weak signals. The restoring force term of the system affects the weak-signal detection ability of the system directly, the quantitative relationship between the coefficients of the linear and nonlinear items of the restoring force of the Duffing oscillator system and the SNR in the detection of weak signals is obtained through a large number of simulation experiments, then a new restoring force function with better detection results is established.