Wang algebra: from theory to practice
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Published version
Author(s)
Ling, Cong
Ross, Bob
Type
Journal Article
Abstract
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.
Date Issued
2022-11-04
Date Acceptance
2022-10-19
Citation
IEEE Open Journal of Circuits and Systems, 2022, 3, pp.274-285
ISSN
2644-1225
Publisher
Institute of Electrical and Electronics Engineers
Start Page
274
End Page
285
Journal / Book Title
IEEE Open Journal of Circuits and Systems
Volume
3
Copyright Statement
© The Author(s) 2022. This work is licensed under a Creative Commons Attribution 4.0 License. For more information, see https://creativecommons.org/licenses/by/4.0/
License URL
Identifier
https://ieeexplore.ieee.org/document/9930827
Publication Status
Published
Date Publish Online
2022-10-26