Global convergence of a blind iterative algorithm for simultaneous conjugate match of N-ports
Abstract In a recent paper, it has been shown that, if an N-port network fulfills the condition of (geometrical) unconditional stability at a given frequency, then it can be conjugately matched simultaneous at all ports through lossless matching 2-ports. The proof was based on the construction of a...
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Nature Portfolio
2025-05-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-025-00770-4 |
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| author | Sergio Colangeli Antonio Serino Walter Ciccognani Patrick E. Longhi Ernesto Limiti |
| author_facet | Sergio Colangeli Antonio Serino Walter Ciccognani Patrick E. Longhi Ernesto Limiti |
| author_sort | Sergio Colangeli |
| collection | DOAJ |
| description | Abstract In a recent paper, it has been shown that, if an N-port network fulfills the condition of (geometrical) unconditional stability at a given frequency, then it can be conjugately matched simultaneous at all ports through lossless matching 2-ports. The proof was based on the construction of a guided iterative algorithm (AlgG) which was shown to converge to the desired result. Two other iterative algorithms were presented (AlgS and AlgA), which are simpler to implement but whose global convergence had not been proven. The present contribution aims at proving the global convergence of the AlgA algorithm, which is notable for being totally independent of the user (unlike AlgG) and of the port numbering (unlike AlgS). As such, this algorithm captures the inherent characteristics only of the network to which it is applied. Several examples of using AlgA to achieve the Simultaneous Conjugate Match (SCM) condition are presented and validated on fabricated circuits. More interestingly, AlgA has a useful role in the framework of stability analysis, i.e., in determining upper and lower bounds on the stability radius of N-port networks. This latter application will be further delved into in a future publication. |
| format | Article |
| id | doaj-art-1ad3aee6e893422aa7b333de58b70ee0 |
| institution | DOAJ |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | Nature Portfolio |
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| series | Scientific Reports |
| spelling | doaj-art-1ad3aee6e893422aa7b333de58b70ee02025-08-20T03:08:40ZengNature PortfolioScientific Reports2045-23222025-05-0115111510.1038/s41598-025-00770-4Global convergence of a blind iterative algorithm for simultaneous conjugate match of N-portsSergio Colangeli0Antonio Serino1Walter Ciccognani2Patrick E. Longhi3Ernesto Limiti4Department of Electronics Engineering, University of Rome Tor VergataDepartment of Electronics Engineering, University of Rome Tor VergataDepartment of Electronics Engineering, University of Rome Tor VergataDepartment of Electronics Engineering, University of Rome Tor VergataDepartment of Electronics Engineering, University of Rome Tor VergataAbstract In a recent paper, it has been shown that, if an N-port network fulfills the condition of (geometrical) unconditional stability at a given frequency, then it can be conjugately matched simultaneous at all ports through lossless matching 2-ports. The proof was based on the construction of a guided iterative algorithm (AlgG) which was shown to converge to the desired result. Two other iterative algorithms were presented (AlgS and AlgA), which are simpler to implement but whose global convergence had not been proven. The present contribution aims at proving the global convergence of the AlgA algorithm, which is notable for being totally independent of the user (unlike AlgG) and of the port numbering (unlike AlgS). As such, this algorithm captures the inherent characteristics only of the network to which it is applied. Several examples of using AlgA to achieve the Simultaneous Conjugate Match (SCM) condition are presented and validated on fabricated circuits. More interestingly, AlgA has a useful role in the framework of stability analysis, i.e., in determining upper and lower bounds on the stability radius of N-port networks. This latter application will be further delved into in a future publication.https://doi.org/10.1038/s41598-025-00770-4Linear networksSimultaneous conjugate matchUnconditional stability |
| spellingShingle | Sergio Colangeli Antonio Serino Walter Ciccognani Patrick E. Longhi Ernesto Limiti Global convergence of a blind iterative algorithm for simultaneous conjugate match of N-ports Scientific Reports Linear networks Simultaneous conjugate match Unconditional stability |
| title | Global convergence of a blind iterative algorithm for simultaneous conjugate match of N-ports |
| title_full | Global convergence of a blind iterative algorithm for simultaneous conjugate match of N-ports |
| title_fullStr | Global convergence of a blind iterative algorithm for simultaneous conjugate match of N-ports |
| title_full_unstemmed | Global convergence of a blind iterative algorithm for simultaneous conjugate match of N-ports |
| title_short | Global convergence of a blind iterative algorithm for simultaneous conjugate match of N-ports |
| title_sort | global convergence of a blind iterative algorithm for simultaneous conjugate match of n ports |
| topic | Linear networks Simultaneous conjugate match Unconditional stability |
| url | https://doi.org/10.1038/s41598-025-00770-4 |
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