Algebraic lattice realization of passive transmission line systems

Y. Monden, M. Nagamatsu, S. Okamoto
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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.
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无源输电系统的代数点阵实现
本文首先将离散时间线性系统的代数稳定性检验Schur-Cohn检验提出为单位圆盘上给定实数有理传递函数的“无损有界实格实现的无损有界实性检验”。然后,将分段常数无源传输线的离散模型用一组物理系统参数来表征,将其推广为一类有理传递函数的“有界实数实现有界实数检验”的代数算法,该算法的通用性足以覆盖几乎实际的无源传输线。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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