Algebraic lattice realization of passive transmission line systems

Abstract

In this paper, firstly, the Schur-Cohn test known as an algebraic stability test of discrete-time linear systems is presented as a "lossless bounded realness test by lossless bounded real lattice realization" of a given real rational transfer function on the unit disk. Then, by characterizing a discrete model of piecewise constant passive transmission line in terms of a set of physical system parmeters, it is extended to an algebraic algorithm for "bounded realness test by bounded real realization" of a certain class of rational transfer functions, which are general enough to cover almost actual passive transmission lines.