Additional findings on S-parameter bounds valid for unconditionally stable N-ports

IF 1.6 4区工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC

International Journal of Numerical Modelling-Electronic Networks Devices and Fields Pub Date : 2024-01-21 DOI:10.1002/jnm.3211

Sergio Colangeli, Antonio Serino, Walter Ciccognani, Patrick E. Longhi, Ernesto Limiti

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引用次数: 0

Abstract

In a recent paper, it has been shown that, if an N-port network fulfills the condition of (geometrical) unconditional stability at a given frequency, then its scattering parameters will also necessarily satisfy N easily computable bounds, one per port. In order to complete that picture, this contribution investigates whether a tighter bound can be obtained by combining the $N$ bounds into just one. The answer is in general negative, except that the 3-port case does indeed exhibit a peculiar behavior: this can be exploited to reduce the upper bound when the diagonal elements of the scattering matrix are limited in magnitude up to some $α$ , and in particular for $α = 0$ (simultaneous conjugate match).

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对无条件稳定 N 端口有效的 S 参数边界的其他发现

最近的一篇论文表明，如果一个 N 端口网络满足给定频率下的（几何）无条件稳定性条件，那么它的散射参数也必然满足 N 个易于计算的边界，每个端口一个。为了使这幅图更完整，本文研究了是否可以通过将 N$$ N$ 个约束合并为一个约束来获得更严格的约束。答案一般是否定的，但 3 端口情况确实表现出一种奇特的行为：当散射矩阵对角元素的大小限制在某个 α$$ \alpha $$ 时，尤其是 α=0$$ \alpha =0 $$ 时（同时共轭匹配），可以利用这一点来减小上界。

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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来源期刊

International Journal of Numerical Modelling-Electronic Networks Devices and Fields 工程技术-工程：电子与电气

CiteScore

4.60

自引率

6.20%

发文量

101

审稿时长

>12 weeks

期刊介绍： Prediction through modelling forms the basis of engineering design. The computational power at the fingertips of the professional engineer is increasing enormously and techniques for computer simulation are changing rapidly. Engineers need models which relate to their design area and which are adaptable to new design concepts. They also need efficient and friendly ways of presenting, viewing and transmitting the data associated with their models. The International Journal of Numerical Modelling: Electronic Networks, Devices and Fields provides a communication vehicle for numerical modelling methods and data preparation methods associated with electrical and electronic circuits and fields. It concentrates on numerical modelling rather than abstract numerical mathematics. Contributions on numerical modelling will cover the entire subject of electrical and electronic engineering. They will range from electrical distribution networks to integrated circuits on VLSI design, and from static electric and magnetic fields through microwaves to optical design. They will also include the use of electrical networks as a modelling medium.