Perturbation theory for inhomogeneous transmission lines

被引：11

作者：

Wenger, F ^{[1
]}

Gustafsson, T ^{[1
]}

Svensson, LJ ^{[1
]}

机构：

[1] SwitchCore AB, SE-22369 Lund, Sweden

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS | 2002年 / 49卷 / 03期

关键词：

capacity; echo; inhomogeneous; lossy; perturbation theory; transmission line;

D O I：

10.1109/81.989162

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

We present a novel technique to calculate the transmission and reflection properties of inhomogeneous lossy transmission lines. It is based on a perturbation expansion of the relevant telegrapher's equation around the homogeneous solution. The method reveals that the transmission properties are unaffected to first order in the impedance and admittance, while reflection properties are modified by first-order terms. Extending the analysis to second order we find correction terms both for transmission and reflection. These allow us to understand the statistical properties of the information bearing capacity and the echo of the inhomogeneous transmission line. The correction to the transmission properties are fully reciprocal, despite the absence of any symmetry properties. We compute scaling laws for echo and capacity.

引用

页码：289 / 297

页数：9

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