摘要
为克服经典双稳系统存在的饱和特性,增强随机共振效应,采用抛物线代替经典双稳势函数两外侧曲线,构建了焦距可调的双稳势函数,建立了势函数焦距与克莱默斯(Kramers)逃逸率和系统输出信噪比的近似解析关系。可调焦双稳势函数通过焦距的调节可以改变能量的聚集,特别是与随机共振效应相关的输出信号信噪比值的变化。理论分析与数值仿真结果表明,调节势函数的焦距大小能有效控制微弱信号和噪声的相互作用,使得输出信号能获取更多的能量,提高系统输出信噪比。将所提出的可调焦双稳系统应用于涡街信号检测,并使用遗传算法对势函数焦距等参数自适应寻优,可以获得较强的随机共振效应,准确获取涡街信号频率。
To overcome the saturation characteristics of the classic bistable system and enhance the stochastic resonance effect,a bistable potential function with adjustable focus is constructed with two outer curves of classical bistable potential function replaced by parabola.The approximate analytic relations between the focal length of the potential function and Kramers escape rate,the output singal-to-noise ratio(SNR)are established respectively.Focusing bistable potential function can change the energy accumulation by adjusting the focal length,especially change the SNR of the output signal related to the stochastic resonance effect.Theoretical analysis and numerical simulation manifest that adjusting the focal length of the potential function can effectively control the energy interaction between weak signals and noise,and the output signal can obtain more energy to improve the output SNR of the system.The system is applied to vortex signal detection with the focal length of the potential function and other parameters optimized adaptively by using genetic algorithm.The method can obtain strong stochastic resonance and the frequency of the vortex signal can be obtained accurately.
作者
黄玉杨
黄咏梅
林敏
HUANG Yuyang;HUANG Yongmei;LIN Min(College of Metrology and Measurement Engineering,China Jiliang University,Hangzhou Zhejiang 310018,China)
出处
《传感技术学报》
CAS
CSCD
北大核心
2022年第11期1463-1468,共6页
Chinese Journal of Sensors and Actuators
基金
国家自然科学基金项目(11872061)。
关键词
信号处理
随机共振
可调焦双稳系统
涡街流量计
参数寻优
signal processing
stochastic resonance
bistable system with adjustable focus
vortex flowmeter
parameter optimization
