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首页> 外文期刊>Electrical Engineers - Part III: Radio and Communication Engineering, Journal of the Institution of >Circle diagrams of impedance or admittance for four-terminal networks
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Circle diagrams of impedance or admittance for four-terminal networks

机译：四端网络阻抗或导纳的圆图

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摘要

The paper offers a theory of circle diagrams of impedance or admittance representing the relations between terminal impedances and input impedances for the general passive four-terminal network, including the cases of asymmetry and dissipation, so formulated that common transmission-line diagrams become special cases. After a review of earlier work on the subject, the relations between terminal and input impedances are expressed in terms of the iterative quantities of the network in a circle diagram. It is shown that this diagram is actually a graphical representation of the complex hyperbolic tangent function. Special circle diagrams are discussed corresponding to a non-dissipative network in the stop-band or pass-band, or at the cut-off frequency. These diagrams are studied by the application of projective geometry. An inversion of the ordinary circle diagram leads to the Smith diagram, which is described for both real and complex iterative impedances. It is pointed out that for a transmission line of less than ???????????????? the error resulting from considering Z a pure resistance is of the same order of magnitude as that which would result from neglecting the damping.
机译：本文提供了一种阻抗或导纳圆图的理论，代表了一般无源四端子网络的端子阻抗与输入阻抗之间的关系，包括不对称和耗散的情况，因此，公式化了常见的传输线图成为特殊情况。在回顾了有关该主题的早期工作之后，终端阻抗和输入阻抗之间的关系以圆形图中网络的迭代量表示。结果表明，该图实际上是复双曲正切函数的图形表示。讨论了对应于阻带或通带中或截止频率处的非耗散网络的特殊圆形图。这些图是通过射影几何学来研究的。普通圆图的反转导致史密斯圆图，该图针对实数和复数迭代阻抗进行了描述。要指出的是，对于传输线小于????????????????将Z视为纯电阻所导致的误差与忽略阻尼所导致的误差在相同数量级。

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