Sensitivity analysis of parabolic lossy nonuniform transmission lines

The parabolic nonuniform line can be equivalent to the representation of a uniform line and a cascade connection of lumped element sections via Kuroda's identities. Based on this equivalent circuit, a method in s-domain is present to obtain the sensitivity of output with respect to nonuniform line parameters, which calculates the sensitivities to uniform line and to lumped elements respectively. Final sensitivities in time domain are obtained by applying extended numerical inversion of Laplace transform (NILT). Examples and comparisons with sensitivity calculated by perturbation are presented.