A sensitivity approach to determine the response bounds of transmission lines with random parameters

The paper deals with the problem of the analysis of transmission lines characterized by random parameters. The scope of the work is to determine lower and upper bounds to the direct and crosstalk response of a transmission line when the per unit length or the geometrical parameters are characterized by random variations. A sensitivity analysis is performed first, and then a very simple estimate of the lower and upper bounds of the voltage response is given. The accuracy of the determined bounds is shown by performing a Monte Carlo procedure over two different transmission lines.