A Modified Vector Fitting Technique to Extract Coupling Matrix from S-parameters

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Date
2023-09
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Mark
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Společnost pro radioelektronické inženýrství
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Abstract
In this paper, a modified vector fitting technique to extract coupling matrix from S-parameters is introduced. This work allows designers to extract the coupling matrix of different or any pre-defined topologies from the simulated or measured S-parameter data. A study on vector fitting (VF) equations that can extract the rational polynomial of bandpass filter responses is carried out. The rational polynomials are formed by applying the VF process to S-parameter responses without having to remove the phase offset and de-embedding the transmission lines. The desired coupling matrix configuration is generated directly from the extracted polynomials using unconstrained and finitely bounded non-linear polynomials (NLP) optimization. Without the need for matrix transformation, the matrix elements are still able to show a one-to-one relationship in coupling values of resonators. Two bandpass filters are shown as examples to illustrate the performance of the new variation of VF.
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Citation
Radioengineering. 2023 vol. 32, č. 3, s. 325-331. ISSN 1210-2512
https://www.radioeng.cz/fulltexts/2023/23_03_0325_0331.pdf
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Peer-reviewed
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en
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Creative Commons Attribution 4.0 International license
http://creativecommons.org/licenses/by/4.0/
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