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General expression for tunable matching network efficiency in the case of complex impedances
Author(s) -
Freitas Vitor,
Arnould JeanDaniel,
Ferrari Philippe
Publication year - 2015
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.29039
Subject(s) - smith chart , impedance matching , electrical impedance , lossless compression , matching (statistics) , computer science , topology (electrical circuits) , network topology , rendering (computer graphics) , electronic engineering , algorithm , engineering , electrical engineering , mathematics , artificial intelligence , computer network , statistics , data compression
The design of matching networks is generally based on lossless devices, hence rendering difficult to anticipate their performance when both impedances are complex. To be more predictive in terms of insertion loss and matching impedance coverage, a rigorous method is proposed for the first time to calculate the efficiency of a tunable matching network based on the quality factor of its components, with source and load complex impedances. The method allows optimizing the topology of the matching network, depending on the location of the source and loading impedances in the Smith chart. It is the first time to our knowledge that a complete analytical formulas is given to predict the matching network's efficiency in function of available components quality factors in the case of source and load complex impedance. © 2015 Wiley Periodicals, Inc. Microwave Opt Technol Lett 57:1160–1166, 2014

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