A new method to evaluate the impulse responses of lossy multiconductor transmission lines

This paper deals with the evaluation of the time-domain describing input and transfer impulse responses of linear lossy multiconductor transmission lines with frequency dependent parameters. These responses cannot be evaluated analytically and, due to the presence of "irregular" terms such as Dirac pulses, a brute numerical evaluation is not possible. In this paper an analytical method based on the perturbation theory of the spectrum of symmetric matrices is applied to evaluate exactly all the irregular terms. Once the irregular parts of the impulse responses are known, it is possible to evaluate accurately the regular ones through simple numerical methods, as shown through some examples.