Synthesis of immittance functions with interlacing pairs of real or complex poles and zeros

Abstract

Two new classes of rational functions are presented which are realizable as impedance functions of Foster-type RLC networks. In one class, pairs of poles and zeros interlace on the negative real axis and in the second class, complex poles and zeros interlace on certain <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">s</tex> -plane paths.