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Extremely generalized planar Smith chart based on Möbius transformations
Author(s) -
Wu Yongle,
Liu Yuanan,
Huang Haiyu
Publication year - 2009
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.24293
Subject(s) - planar , smith chart , chart , microwave , mathematics , calculus (dental) , computer science , engineering , computer graphics (images) , electrical engineering , telecommunications , statistics , electrical impedance , medicine , dentistry , impedance matching
In this article, extremely generalized planar Smith chart (EGPSC) is proposed based on Mőbius transformations (MTs). And the rigid mathematical circles equations of this proposed EGPSC are obtained. The EGPSC includes omnipotent Smith chart (OSC) and other different kinds of generalized Smith charts which have been reported recently. Finally, according to the rigid mathematical equations, the corresponding characteristics of EGPSC are comprehensively analyzed and illustrated through numerical simulations. © 2009 Wiley Periodicals, Inc. Microwave Opt Technol Lett 51: 1164–1167, 2009; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.24293