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Extended Capabilities of the 3-D Smith Chart with Group Delay and Resonator Quality Factor

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Title: Extended Capabilities of the 3-D Smith Chart with Group Delay and Resonator Quality Factor
Authors: Muller, AA
Sanabria-Codesal, E
Moldoveanu, A
Asavei, V
Lucyszyn, S
Item Type: Journal Article
Abstract: This paper extends the capabilities of the 3D Smith chart for representing positive and negative differential-phase group delay and the associated loaded resonator quality factor, displayed simultaneously with scattering (S)-parameters. Here, mathematical concepts, inspired from elementary differential geometry and topology, are used to implement 3D projections. It is shown that a condition for a circuit to exploit negative differential-phase group delay is that its S-parameter winding number should be ≥ 0 (relative to its origin). Finally, exemplar network responses that exhibit both positive and negative differential-phase group delay and loaded resonator quality factor are shown with the 3D Smith chart. The convenience of being able to simultaneously display a wider range of parameters on one visualization platform, with the 3D Smith chart, may help to speed-up the design and analysis of microwave circuits by the user.
Issue Date: 26-Jan-2017
Date of Acceptance: 23-Sep-2016
URI: http://hdl.handle.net/10044/1/40806
DOI: https://dx.doi.org/10.1109/TMTT.2016.2614931
ISSN: 0018-9480
Publisher: IEEE Microwave Theory and Techniques Society
Start Page: 10
End Page: 19
Journal / Book Title: IEEE Transactions on Microwave Theory and Techniques
Volume: 65
Issue: 1
Copyright Statement: © 2016 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Keywords: Networking & Telecommunications
0906 Electrical And Electronic Engineering
1005 Communications Technologies
Publication Status: Published
Appears in Collections:Electrical and Electronic Engineering
Faculty of Engineering