School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing 210046, People's Republic of China.
College of Software Engineering, Chengdu University of Information Technology, Chengdu 610225, People's Republic of China.
Phys Rev E. 2017 Nov;96(5-1):052203. doi: 10.1103/PhysRevE.96.052203. Epub 2017 Nov 6.
Some noisy nonlinear systems could be exploited to operate reliable logic operation in an optimal window of noise intensity, which is termed as logical stochastic resonance (LSR). We investigated the LSR phenomenon in bistable systems when internal noise and external noise are correlated. The LSR effect is evaluated by the success probability of the obtained desired output with various combinations of logic inputs. It is shown that the or-nor, and-nand, and Latch operations still can operate reliably with the correlated internal noise and external noise. A positive correlation strength tends to enhance or-nor logic and suppress and-nand logic. The negative correlation strength tends to suppress or-nor logic and enhance and-nand logic. The results provide possible corroboration for implementing reliable LSR when internal noise and external noise are correlated.
一些噪声非线性系统可以被利用在噪声强度的最优窗口中进行可靠的逻辑操作，这被称为逻辑随机共振（LSR）。我们研究了双稳系统中内部噪声和外部噪声相关时的 LSR 现象。通过各种逻辑输入组合得到的期望输出的成功概率来评估 LSR 效应。结果表明，或非、与非和锁存操作仍然可以在相关的内部噪声和外部噪声下可靠地运行。正相关强度倾向于增强或非逻辑，抑制与非逻辑。负相关强度倾向于抑制或非逻辑，增强与非逻辑。这些结果为在内部噪声和外部噪声相关时实现可靠的 LSR 提供了可能的佐证。
