Fastest: a tool for a complete and efficient statistical evaluation of analog circuits

Stochastic Analysis of Deep-Submicrometer CMOS Process for Reliable Circuits Designs

“…The MNA formulation of the stochastic process that describes random influences which fluctuate rapidly and irregularly (i.e., white noise ) can be written as (13) where is the vector of stochastic processes which represents the state variables (e.g., node voltages) of the circuit, is a vector of white Gaussian processes, and is a state-and time-dependent modulation of the vector of noise sources. Since the magnitude of the noise content in a signal is much smaller in comparison to the magnitude of the signal itself in any functional circuit, a system of nonlinear stochastic differential equations described in (13) can be piecewise-linearized under similar assumptions as noted in the previous section.…”

“…Several models have been suggested for device variability [6]- [8] and for noise [9]- [12], and correspondingly, a number of computer-aided design (CAD) tools for statistical circuit simulation [13]- [18] and noise analysis [9], [19], [20]. Monte Carlo analysis is a widespread approach for statistical analysis of circuits affected by technological variations and/or noise simulation in time domain.…”