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All‐pass dispersion synthesis using microwave C‐sections
Author(s) -
Gupta Shulabh,
Sounas Dimitrios,
Zhang Qingfeng,
Caloz Christophe
Publication year - 2014
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.1916
Subject(s) - microwave , transfer function , transmission (telecommunications) , function (biology) , dispersion (optics) , section (typography) , polynomial , pole–zero plot , mathematical analysis , topology (electrical circuits) , phase (matter) , mathematics , algorithm , physics , electronic engineering , optics , computer science , engineering , telecommunications , electrical engineering , combinatorics , biology , operating system , quantum mechanics , evolutionary biology
A closed‐form iterative procedure for synthesizing quasi‐arbitrary phase responses with cascaded microwave C‐section all‐pass phasers is presented. The synthesis consists in mapping the transmission poles of the cascaded C‐section structure onto the transmission poles of the specified transfer function, where the latter poles are computed using a closed‐form polynomial generation method. The real and complex transmission poles of the specified transfer function are realized using C‐sections of different lengths and different couplings coefficients. The proposved synthesis is validated by both full‐wave analysis and measured multilayer prototypes. Copyright © 2013 John Wiley & Sons, Ltd.