Sensitivity analysis of crosstalk in transmission lines to geometric uncertainties

This paper explores the impact of geometric parameter uncertainties on transmission line crosstalk, crucial to electromagnetic compatibility for modern electronic systems. It reviews existing EMC research and methods for quantifying uncertainty, focusing on a two-conductor transmission line affected by uncertainties in height (h), conductor radius (rw), and spacing (d). Sensitivity analysis employs the Monte Carlo Method, Unscented Transform Method, and Stochastic Collocation Method, coupled with Finite Difference Time Domain simulations. Results show that the Unscented Transform Method is more suitable for this problem due to nonlinearity. In general, the radius (rw) has less impact, and the height (h) has more impact than the spacing (d), but for fast transitions, d has more impact than h. Additionally, a similarity exists between the standard deviation of crosstalk (NEXT and FEXT) and the time derivatives of the crosstalk means and the source signal. These findings highlight the implications for signal integrity in high-speed systems.