论文标题

王代数:从理论到实践

Wang Algebra: From Theory to Practice

论文作者

Ross, Bob, Ling, Cong

论文摘要

Wang代数是由Ki-tung Wang启动的,是一种用于分析电网的短曲线方法。后来,它被达芬(Duffin)普及,此后发现了电气工程和图理论中的许多应用。这是关于王代数,其历史和现代应用的半教程论文。我们在王代数上扩展了达芬的历史性笔记,以全面说明王王的生活。提出了王代数的简短证明。我们说明了王代数在T型线圈设计中的实用性。桥接的T型线圈在带宽方面具有显着优势,并在Tektronix示波器中广泛采用,但设计细节被视为商业秘密。基于王代数的本文中提出的派生比文献中报道的更一般,更简单。这种小说的推导以前尚未与公众共享。

Wang algebra was initiated by Ki-Tung Wang as a short-cut method for the analysis of electrical networks. It was later popularized by Duffin and has since found numerous applications in electrical engineering and graph theory. This is a semi-tutorial paper on Wang algebra, its history, and modern applications. We expand Duffin's historic notes on Wang algebra to give a full account of Ki-Tung Wang's life. A short proof of Wang algebra using group theory is presented. We exemplify the usefulness of Wang algebra in the design of T-coils. Bridged T-coils give a significant advantage in bandwidth, and were widely adopted in Tektronix oscilloscopes, but design details were guarded as a trade secret. The derivation presented in this paper, based on Wang algebra, is more general and simpler than those reported in literature. This novel derivation has not been shared with the public before.

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