Rigorous Approach to Coupling Matrix Synthesis Problem With Arbitrary Topology

Seungjun Lee, Jongheun Lee, Juseop Lee

Research output: Contribution to journalArticlepeer-review

Abstract

This work presents a mathematical procedure for solving coupling matrix synthesis problems with arbitrary topologies. A discussion on the properties of arbitrary response-preserving similarity transformations is provided. Based on this property, the proposed method rigorously addresses every possible coupling matrix complying with a desired target topology. This method applies to arbitrary target topologies, both redundant and non-redundant. In cases where there are an infinite number of solutions, this procedure yields a parameterized equation representing all such solutions.

Original languageEnglish
Pages (from-to)335-351
Number of pages17
JournalIEEE Transactions on Microwave Theory and Techniques
Volume73
Issue number1
DOIs
Publication statusPublished - 2025

Bibliographical note

Publisher Copyright:
© 1963-2012 IEEE.

Keywords

  • Coupling matrix
  • filter synthesis
  • multiple solutions
  • similarity transformation
  • topology reconfiguration

ASJC Scopus subject areas

  • Radiation
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

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