The Deterministic Circuit Model for Noise Influenceon the Averaged Transient Responses of Large-scaleNonlinear ICs Analyzed with It?'s StochasticDifferential Equations

摘要

The second-order nonrandom ordinary differential equation (ODE) system derived asthe noise-source-aware model for expectations of solutions of It?'s stochasticdifferential equation (ISDE) system is discussed in connection with large-scaleintegrated circuits (ICs). The work explains the reason why the new model consistentlyallows for the noise-induced phenomena in the expectations, namely, stochasticresonance, stochastic linearization, stochastic self-oscillations and stochastic chaos. Thecase of stochastic resonance is considered as an example. In spite of the fact that theabove second-order model is more complex than the nonrandom first-order IC ODEsystem for the expectations commonly used in engineering, an efficient practicaltechnique for its implementation is proposed. The corresponding predicted computingtime is only in 2.5 times greater than in the case of the first-order model which does notinclude any noise-source influence upon the expectations of the modelled IC responses.