Realizability Theorem for Mid-series of Mid-shunt Low-pass Ladders Without Mutual Induction
Realizability Theorem for Mid-series of Mid-shunt Low-pass Ladders Without Mutual Induction
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DOI：
10.1109/tct.1955.1085261
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发表时间：
1955-12
影响因子：
5.1
通讯作者：
T. Fujisawa
中科院分区：
文献类型：
--
作者：
T. Fujisawa
本文研究了无互感应的非耗散低通阶梯的合成。给出了无互感的中串或中并联无耗散低通梯物理可实现的充分必要条件，并给出了完整的证明。施加于以纯电阻为终端的网络输入阻抗的条件的本质是损耗为无穷大的有限频率与出现在输入阻抗的有理分数表示中的多项式的根之间的关系。所采用的方法是网络合成中最基本的双端阻抗的阶梯展开法。此外，还给出了一般无互感应低通梯物理可实现的一个充分条件，该条件比上述条件更宽。本文研究了在纯电阻端端无互感的非耗散双端对网络中实现耗散双端阻抗的问题。上述条件也是必要的和充分的，以便通过中串联或中并联的非耗散低通梯形来实现耗散双端阻抗，而无需以纯电阻终止互感。
This paper treats the synthesis of nondissipative low-pass ladders without mutual induction. Necessary and sufficient conditions for physical realizability of mid-series or mid-shunt nondissipative low-pass ladders without mutual induction are presented here and the complete proof is given. The essence of the conditions imposed upon the input impedance of the network terminated in a pure resistance is a relation between the finite frequencies at which the loss is infinite and the roots of a polynomial which appears in the rational fractional representation of the input impedance. The method used is the ladder development of a two-terminal impedance which is elementary in network synthesis. Furthermore, a sufficient condition for physical realizability of general low-pass ladders without mutual induction, which is wider than the above conditions, is also given. This paper is concerned with the realization problem of a dissipative two-terminal impedance by means of a nondissipative two-terminal-pair network without mutual induction terminated in a pure resistance. The above-mentioned conditions are also necessary and sufficient in order that a dissipative two-terminal impedance can be realized by means of a mid-series or mid-shunt nondissipative low-pass ladder without mutual induction terminated in a pure resistance.