Tapered Distributed RC Networks with Similar Immittances

In this paper the poles and zeros of the two-port short-circuit admittance parameters of a class of tapered distributed RC networks are discussed. They are shown to be the zeros of an orthogonal set of solutions of the network differential equation. When the differential equation is written in Normal Form, it is possible to define a class of tapered networks which have closed form solutions and similar pole-zero patterns. This class is shown to include the uniform, exponentially-tapered, hyperbolic, square and trigonometric-tapered distributed RC networks.