Stochastic Modeling of a High-Speed Signal Channel by Polynomial Chaos Method

A stochastic model for a simplified high-speed channel is proposed, which considers six key sources of variations. Based on the model, the polynomial chaos (PC) method is applied to quantify the uncertainties. The effectiveness of the PC method is validated by the Monte Carlo (MC) method. Through the variation analysis, the most significant factor affecting a certain output can be identified, which is useful for the optimization of the channel. Additionally, the model can statistically predict the mean and the standard deviation of the outputs when all the variations take effects