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Inverse Nonlinear Eigenvalue Problem Framework for the Synthesis of Coupled-Resonator Filters With Nonresonant Nodes and Arbitrary Frequency-Variant Reactive Couplings
Abstract
A novel, general circuit-level description of coupledresonator microwave filters is introduced in this article. Unlike well-established coupling-matrix models based on frequency-invariant couplings or linear frequency-variant couplings (LFVCs), a model with arbitrary reactive frequencyvariant coupling (AFVC) networks is proposed. The engineered formulation is more general than prior-art ones—with the only restriction that the coupling network is a reactive-type twoport circuit—and can be treated as an extension of previous synthesis models since constant or linear couplings are special cases of arbitrary frequency dependence. The suggested model is fully general, which allows for AFVCs with highly nonlinear (even singular) characteristics, loaded or unloaded nonresonating nodes (NRNs), frequency-dependent source–load coupling, multiple frequency-variant cross couplings, and/or multiple dispersive couplings for connecting the source and load to the filter network. The model is accompanied by a powerful synthesis technique that is based on the zeros and poles of the admittance or scattering parameters and the eigenvalues of properly defined eigenproblems. In the most general case, the zeros and poles of the admittance or scattering parameters are related to solutions of nonlinear eigenvalue problems. The synthesis is defined as an inverse nonlinear eigenvalue problem (INEVP) where the matrix is constructed from three sets of eigenvalues. This is accomplished by optimization using an iterative nonlinear least-squares solver with excellent convergence property. Finally, the third- and fifth-order examples of bandpass filter topologies involving AFVCs are shown, and the experimental validation of the proposed theory is presented through the manufacturing and characterization of a microstrip filter prototype with transmission zeros (TZs).
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Authors (4)
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Roberto Gómez-García prof.
- University of Alcalá
Cite as
Full text
- Publication version
- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1109/TMTT.2021.3119288
- License
- Copyright (2021 IEEE)
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- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
-
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES
no. 69,
pages 5203 - 5216,
ISSN: 0018-9480 - Language:
- English
- Publication year:
- 2021
- Bibliographic description:
- Mul M., Lamęcki A., Gómez-García R., Mrozowski M.: Inverse Nonlinear Eigenvalue Problem Framework for the Synthesis of Coupled-Resonator Filters With Nonresonant Nodes and Arbitrary Frequency-Variant Reactive Couplings// IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES -Vol. 69,iss. 12 (2021), s.5203-5216
- DOI:
- Digital Object Identifier (open in new tab) 10.1109/tmtt.2021.3119288
- Sources of funding:
- Verified by:
- Gdańsk University of Technology
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