A general coupling matrix synthesis method for all-resonator diplexers and multiplexers

Yang Yu, Bo Liu, Yi Wang, Michael J. Lancaster, Qingsha S. Cheng

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2 Citations (Scopus)
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Coupling matrix (CM) synthesis methods for all-resonator diplexers and multiplexers are far from mature. For complex coupling topologies, the existing methods are often not able to find the appropriate CMs that satisfy the S-parameter specifications. To address this challenge, a new synthesis method, which hybridizes analytical and optimization techniques, called general all-resonator diplexer/multiplexer CM synthesis (GACMS) method, is proposed in this article. The two main innovations of GACMS are: 1) an optimization framework incorporating filter design knowledge, which effectively reduces the search space for CM synthesis and 2) a new memetic algorithm-based optimizer, which tackles the challenges from the complex landscape (function characteristics) of CM synthesis problems. GACMS is tested by six complex practical problems and CMs are successfully obtained for all of them. Comparisons with the existing methods demonstrate the advantages of GACMS in terms of solution quality and robustness.
Original languageEnglish
Pages (from-to)987-999
Number of pages13
JournalIEEE Transactions on Microwave Theory and Techniques
Issue number3
Publication statusPublished - 20 Feb 2020

Bibliographical note

Funding Information:
Manuscript received July 20, 2019; revised October 20, 2019; accepted November 10, 2019. Date of publication February 20, 2020; date of current version March 4, 2020. This work was supported in part by the National Natural Science Foundation of China under Grant 61471258, in part by the Science and Technology Innovation Committee of Shenzhen Municipality under Grant KQJSCX20170328153625183, and in part by the U.K. Engineering and Physical Science Research Council under Grant EP/S013113/1 and Grant EP/M013529/1. (Corresponding authors: Bo Liu; Qingsha S. Cheng.) Y. Yu is with the Department of Electrical and Electronic Engineering, Southern University of Science and Technology, Shenzhen 518055, China, and also with the School of Electrical, Electronic and System Engineering, University of Birmingham, Birmingham B15 2TT, U.K. (e-mail: issacyu@live.cn).

Publisher Copyright:
© 2019 IEEE.

Copyright 2020 Elsevier B.V., All rights reserved.


  • multiplexing
  • optimisation
  • couplings
  • topology
  • sociology
  • statistics
  • scattering parameters
  • coupling matrix (CM)
  • differential evolution (DE)
  • diplexers
  • memetic algorithm
  • mulitplexers


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