级联双稳Duffing系统的随机共振研究

摘要

The stochastic resonance of cascaded bistable Duffing system (CBDS) has been studied in this paper. We have shown that with the appropriate adjustment of the parameters of the CBDS, such as the scale transformation coefficient, the damping ratio and the number of cascaded systems, the CBDS can not only achieve large or small parameter stochastic resonance, but also optimize the stochastic resonance result of a single bistable Duffing system (SBDS). That is, with the parameter adjustment, the stochastic resonance effect of the CBDS is much better than that of the SBDS. Furthermore, the CBDS has excellent filtering and smoothing characters for a square wave signal, which can be applied to the recovery of the square wave signal masked by heavy noise.%　　研究了级联双稳Duffing系统的随机共振特性，证明级联双稳Duffing系统变尺度系数、阻尼比和级数等参数的适当调节，不仅可实现大参数信号的级联随机共振，而且可优化单级双稳Duffing系统的随机共振特征，即参数调节的级联双稳Duffing系统能实现比单级双稳Duffing系统更好的随机共振输出。此外，级联双稳Duffing系统对方波信号具有良好的滤波整形作用，可用于实现含噪方波信号的波形恢复。