The Stochastic Analysis of OTA-C Filter

In this research, the stochastic analysis of the OTA-C filter has been performed by using a stochastic differential equation based approach where the input voltage noise has been considered as white noise which is a Brownian motion process or Wiener process. The resulting stochastic differential equation has been both analytically and numerically solved in the Ito sense where the Euler-Maruyama scheme has been adopted for determining the numerical solutions. Compared to the conventional sensitivity based approach which is static by nature and the Monte-Carlo simulation which is naturally slow, our stochastic differential equation based approach has been found to be justified due to its dynamicity and speed.