The Z-Matrix Parameters of Tapered Transmission Lines

This paper presents an improved method of computing the
Z
-matrix parameters of 2-port tapered transmission lines. Linear second-order differential equations, in which the tapering information is contained in one variable coefficient, are derived for the transfer immittances; from the solutions of these the driving point impedances are found by differentiation and algebraic substitution techniques. As an example, the
Z
-matrix parameters for Jacobs' "generalized exponential" line are found.