某些二维分形电路网络输入阻抗的封闭式表达式

IF 4 2区工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC

IEEE Transactions on Circuits and Systems II: Express Briefs Pub Date : 2024-09-12 DOI:10.1109/TCSII.2024.3459091

Ahmed S. Elwakil;Anis Allagui;Mohamed B. Elamien;Costas Psychalinos;Brent Maundy

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引用次数: 0

摘要

结合一维阶梯网络和一维树形网络的输入阻抗结果，导出了二维（二维）无限阶梯-树形网络和无限阶梯-树形网络输入阻抗的封闭表达式。我们表明，树形网络中分支数的影响总是可以通过阻抗缩放来吸收，从而得出一个通用公式。树状网络的有意义分支数可以表示为两个分支；即，一个二叉树，或四个分支；即四元树。研究了元件选择的特殊情况，并给出了电路仿真和实验结果来验证该理论。

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Closed-Form Expressions for the Input Impedance of Some 2-D Fractal Circuit Networks

We derive closed form expressions for the input impedance of two-dimensional (2-D) infinite ladder-tree and tree-ladder networks using the combination of results for the input impedance of an infinite 1-D ladder network and an infinite 1-D tree network. We show that the effect of the number of branches in the tree network can always be absorbed via impedance scaling resulting in a universal formula derived in this brief. The meaningful number of branches of the tree network is shown to be either two branches; i.e., a binary tree, or four branches; i.e., a quaternary tree. Special cases of component choices are investigated, and both circuit simulations and experimental results are provided to validate the theory.

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来源期刊

IEEE Transactions on Circuits and Systems II: Express Briefs 工程技术-工程：电子与电气

CiteScore

7.90

自引率

20.50%

发文量

883

审稿时长

3.0 months

期刊介绍： TCAS II publishes brief papers in the field specified by the theory, analysis, design, and practical implementations of circuits, and the application of circuit techniques to systems and to signal processing. Included is the whole spectrum from basic scientific theory to industrial applications. The field of interest covered includes: Circuits: Analog, Digital and Mixed Signal Circuits and Systems Nonlinear Circuits and Systems, Integrated Sensors, MEMS and Systems on Chip, Nanoscale Circuits and Systems, Optoelectronic Circuits and Systems, Power Electronics and Systems Software for Analog-and-Logic Circuits and Systems Control aspects of Circuits and Systems.