Macromodeling High-Speed Circuit Data Using Rational Krylov Fitting Method
This paper presents the modeling of high speed distributed networks characterized by S-parameters frequency data using the rational Krylov fitting (RKFIT) algorithm. Numerical examples illustrate the effectiveness of the method to compute stable rational approximation that fit given S-parameters dat...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-11-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/14/21/7318 |
| _version_ | 1827600537796739072 |
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| author | Mohamed Sahouli Anestis Dounavis |
| author_facet | Mohamed Sahouli Anestis Dounavis |
| author_sort | Mohamed Sahouli |
| collection | DOAJ |
| description | This paper presents the modeling of high speed distributed networks characterized by S-parameters frequency data using the rational Krylov fitting (RKFIT) algorithm. Numerical examples illustrate the effectiveness of the method to compute stable rational approximation that fit given S-parameters data. In addition, it is shown that RKFIT has some advantages when compared to the well-established Vector Fitting (VF) method, such as more accurate fitting, less dependence on the choice of the initial poles of the algorithm, and faster convergence. Numerical examples are implemented using RKFIT and the results are compared with VF and the Loewner Matrix (LM) algorithm. |
| first_indexed | 2024-03-09T04:37:34Z |
| format | Article |
| id | doaj.art-f84bf4e4ca334491b67ef29e73c0fbd4 |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-09T04:37:34Z |
| publishDate | 2021-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-f84bf4e4ca334491b67ef29e73c0fbd42023-12-03T13:26:17ZengMDPI AGEnergies1996-10732021-11-011421731810.3390/en14217318Macromodeling High-Speed Circuit Data Using Rational Krylov Fitting MethodMohamed Sahouli0Anestis Dounavis1Department of Electrical and Computer, Western University, London, ON N6A 3K7, CanadaDepartment of Electrical and Computer, Western University, London, ON N6A 3K7, CanadaThis paper presents the modeling of high speed distributed networks characterized by S-parameters frequency data using the rational Krylov fitting (RKFIT) algorithm. Numerical examples illustrate the effectiveness of the method to compute stable rational approximation that fit given S-parameters data. In addition, it is shown that RKFIT has some advantages when compared to the well-established Vector Fitting (VF) method, such as more accurate fitting, less dependence on the choice of the initial poles of the algorithm, and faster convergence. Numerical examples are implemented using RKFIT and the results are compared with VF and the Loewner Matrix (LM) algorithm.https://www.mdpi.com/1996-1073/14/21/7318distributed networksmacromodelingrational approximations-parametersvector fitting |
| spellingShingle | Mohamed Sahouli Anestis Dounavis Macromodeling High-Speed Circuit Data Using Rational Krylov Fitting Method Energies distributed networks macromodeling rational approximation s-parameters vector fitting |
| title | Macromodeling High-Speed Circuit Data Using Rational Krylov Fitting Method |
| title_full | Macromodeling High-Speed Circuit Data Using Rational Krylov Fitting Method |
| title_fullStr | Macromodeling High-Speed Circuit Data Using Rational Krylov Fitting Method |
| title_full_unstemmed | Macromodeling High-Speed Circuit Data Using Rational Krylov Fitting Method |
| title_short | Macromodeling High-Speed Circuit Data Using Rational Krylov Fitting Method |
| title_sort | macromodeling high speed circuit data using rational krylov fitting method |
| topic | distributed networks macromodeling rational approximation s-parameters vector fitting |
| url | https://www.mdpi.com/1996-1073/14/21/7318 |
| work_keys_str_mv | AT mohamedsahouli macromodelinghighspeedcircuitdatausingrationalkrylovfittingmethod AT anestisdounavis macromodelinghighspeedcircuitdatausingrationalkrylovfittingmethod |