Statistical Method for Eye Diagram Simulation in a High-Speed Link Nonlinear System

In this work, an accurate method for the statistical analysis of eye diagrams of nonlinear systems is proposed. The probability density function of a nonlinear input is known and the static memory-less nonlinearity is characterized by a polynomial function. The probability density function of the nonlinear output can thus be estimated through the nonlinear transformation to calculate the final statistical eye diagram.