一阶线性系统的调参随机共振研究  

Parameter-adjusted stochastic resonance of first-order linear system

作　　者：田祥友[1] 冷永刚[1] 范胜波[1] 

机构地区：[1]天津大学机械工程学院,天津300072

出　　处：《物理学报》2013年第2期95-102,共8页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:51275336)资助的课题~~

摘　　要：分析了一阶线性系统在正弦和白噪声信号作用下的输出功率谱和信噪比.研究表明,加性噪声作用下的线性系统不存在传统意义上的随机共振,但却存在输出信噪比随系统参数非单调变化的调参广义随机共振现象.针对任意频率信号,分析了不同采样频率下的调参共振谱特性,得出适当增大采样频率有利于特征信号识别的结论.The output power spectrum and signal-to-noise ratio （SNR） of the first order linear system driven by sinusoidal and white noise signal are analyzed. The result shows that the linear system under additive noise does not perform traditional stochastic resonance （SR）, but it reveals the parameter-adjusted SR in a broad sense, which means that a resonance peak appears in the curve of SNR versus system parameter. The output spectrum properties under different sampling frequencies are analyzed for a signal with an arbitrary frequency, leading to a conclusion that increasing sampling frequency properly can be beneficial to the detection of the character signal.

关 键 词：线性系统 随机共振 微弱信号 系统参数调节 

分 类 号：TN911.6[电子电信—通信与信息系统]