复杂噪声背景下的随机共振逻辑门电路的机理分析与实验验证

Stochastic resonance is a physical phenonmenon which occurs in various nonlinear systems. Under certain condition, the addition of an appropriate amount of noise can enhance input signal through a delicate interplay of nonlinearity,input signal and noise. Output signal quality firstly increases and then decreases non-monotonically as noise increases, which indicates that noise can be a helpful signal energy. The research on applying stochastic resonance theory to design logic gate circuit is beginning to become an new research highlight.According to stochastic resonance theory, exploting an appropriate amount of noise to enhance logic computation may propose some original ideas of designing logic circuit immune to noise with the development of large scale integration circuit technology. The thesis studies the logical stochastic resonance under complex electronic device noise.The success probability of logic output is evaluated by quantitative standard.The Lagevin equation of logical stochastic resonance is computed by numerical simulation. Bistable logic gate circuit based on stochastic resonance is constructed. Cross validation method is used.Under various electronic device noise,the relationship between the interior character of noise and the success probability of logic output is discussed.The underling mechanism of logical stochastic resonance circuit is explored.At no expense of energy、speed and chip size,the main advantage of logical stochastic resonance circuit at anti-noise capacity is evaluated by quantitantive analysis.Some original experiment results may be obtained in logical stochastic resonance theory.

随机共振是一种广泛存在于非线性系统中的物理现象。一定条件下，非线性系统、信号和噪声互相协作，噪声能够对信号起到增强作用。随着噪声强度增大，输出信号质量先增后减非单调地变化，说明噪声能够成为有用的能量。根据随机共振理论，利用噪声增强逻辑信号，可能为目前大规模集成电路条件下，噪声免疫的逻辑门设计提出新的思路。将随机共振应用于逻辑门器件设计的研究刚刚开始，但很快会成为新的研究热点。本课题研究了电子器件噪声模型下的逻辑随机共振理论。建立了逻辑计算可靠性的量化评价函数，采用数值计算分析逻辑随机共振的朗之万动力学方程，搭建双稳态逻辑随机共振电路，采取交叉验证的实验手段，在各类电子器件噪声模型下，探讨噪声性质对逻辑计算可靠性的影响。揭示逻辑随机共振电路的潜在运行机理。在不损失能耗、速度和尺寸等方面性能的前提下，定量分析随机共振逻辑门电路在抗噪容限方面的优势。以期在逻辑随机共振研究领域中获得创新性的成果。

随机共振是一种广泛存在于非线性系统中的物理现象。一定条件下，非线性系统、信号和噪声互相协作，噪声能够对信号起到增强作用。随着噪声强度增大，输出信号质量先增后减非单调地变化，说明噪声能够成为有用的能量。将随机共振应用于逻辑门器件设计成为新的研究热点。本课题研究了电子器件噪声模型下的双稳态逻辑随机共振理论。建立了双稳态逻辑随机共振计算可靠性的量化评价函数，采用数值计算分析双稳态逻辑随机共振的朗之万动力学方程，搭建双稳态逻辑随机共振电路，采取交叉验证的实验手段，在各类电子器件噪声模型下，证实了噪声性质对双稳态随机共振逻辑计算可靠性的影响。逻辑计算正确率随噪声强度和噪声相关性都能出现先增后减的非单调变化趋势。研究结果完备了逻辑随机共振理论。