双稳态施密特触发电路在OU噪声驱动下的逻辑随机共振

Logical stochastic resonance in quasi-static Schmitt trigger circuits driven by the Ornstein-Uhlenbeck process

噪声能够帮助非线性系统产生反常的有序行为的现象吸引了人们的广泛关注.我们以一个双稳态的施密特触发电路作为模型系统,用OU(Ornstein-Uhlenbeck)噪声驱动,利用噪声进行逻辑计算,实现了逻辑门的模拟运算.同时研究了噪声强度、噪声相关时间下的逻辑随机共振,并且探讨了系统的弛豫性质对逻辑随机共振的影响.结果表明,色噪声驱动下的双稳态系统中的逻辑随机共振现象同样存在.

It has become increasingly clear that noise can play a constructive role in helping nonlinear dynamical systems to produce counterintuitive ordered behavior. We used the noise to drive computing, in which the realization of the logic gate was demonstrated in a quasi-static Schmitt trigger circuit by cycling various combinations of two logic inputs driven by Ornstein-Uhlenbeck noise. Two major kinds of logical stochastic resonance effects were presented by changing the noise intensity, as well as by changing the correlation time respectively, and the effect of the electronics relaxation rate on the LSR was also discussed. The study provides an example that LER can exist robustly in the quasl-static system in the presence of colored noise.