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- W72227504 abstract "Two types of noises can exist in an electrical circuit: external noise and internal noise. The effects of both types of noises in electrical circuits are ignored when using a deterministic differential equation for their modeling. The deterministic model of the circuit is replaced by a stochastic model by adding a noise term in both the potential source (external noise) and the resistance (internal noise). Stochastic models are more appropriate to describe for instance the outcome of repeated experiments. The noise added in the potential source is assumed to be a white noise and that added in the resistance is assumtd to be a correlated process. A first-order ordinary differential equation and its stochastic analogues is used for the DC response analysis of an RC circuit. The first-order differential equation, which describes the concentration of charge in an the capacitor, is solved explicitly in both the deterministic and stochastic case. This method gives an explicit relation expressing the sensitivity of the performance with respect to input parameters and their tolerances so it can be used for design optimization. Numerical simulations in MATLAB are obtained using the Euler-Maruyama method." @default.
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- W72227504 title "Modeling of an RC Circuit Using a Stochastic Differential Equation" @default.
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