Derivation of voltage and current transfer functions for multiconductor transmission lines

A set of compact equations is derived for a system of multiconductor transmission lines with arbitrary source and load termination networks. The derivations are based on defining the reflection coefficient matrix for multiconductor transmission lines. Expressions for the voltage and current transfer functions are derived. For the two-conductor case, the equations reduce to well known results. The expressions are very suitable for straightforward coding on a computer. The validity of the derived equations is checked with published experimental and computer models for three- and four-conductor transmission line systems