A Synthesis Method for <italic>N</italic>-Section Unequal Ultra-Wideband Wilkinson Power Divider With Controllable Equal-Ripple Performance
In this paper, a novel synthesis method is presented to design of a class of multi-section ultra-wideband (UWB) Wilkinson power dividers (WPDs) with an arbitrary power ratio. The proposed UWB-WPD topology consists of <inline-formula> <tex-math notation="LaTeX">$N$ </tex-math...
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| Format: | Article |
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IEEE
2023-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/10144294/ |
| _version_ | 1827920807152582656 |
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| author | Zizhuo Sun Xiaolong Wang Lei Zhu Geyu Lu |
| author_facet | Zizhuo Sun Xiaolong Wang Lei Zhu Geyu Lu |
| author_sort | Zizhuo Sun |
| collection | DOAJ |
| description | In this paper, a novel synthesis method is presented to design of a class of multi-section ultra-wideband (UWB) Wilkinson power dividers (WPDs) with an arbitrary power ratio. The proposed UWB-WPD topology consists of <inline-formula> <tex-math notation="LaTeX">$N$ </tex-math></inline-formula> cascaded asymmetric coupled line sections (ACLSs) and <inline-formula> <tex-math notation="LaTeX">$N$ </tex-math></inline-formula> isolation resistors. Through even- and odd-mode analysis, the proposed synthesis method is demonstrated with a few unique novelties as summarized: (1) It is for the first time proved that the first kind Chebyshev equal-ripple performance can be exactly realized by the cascaded transmission-line transformer without Hansen’s approximation; (2) It is also for the first time revealed that all the <inline-formula> <tex-math notation="LaTeX">$S$ </tex-math></inline-formula>-parameters (<inline-formula> <tex-math notation="LaTeX">$S_{11}$ </tex-math></inline-formula>, <inline-formula> <tex-math notation="LaTeX">$S_{21}$ </tex-math></inline-formula>, <inline-formula> <tex-math notation="LaTeX">$S_{31}$ </tex-math></inline-formula>, <inline-formula> <tex-math notation="LaTeX">$S_{22}$ </tex-math></inline-formula>, <inline-formula> <tex-math notation="LaTeX">$S_{33}$ </tex-math></inline-formula> and <inline-formula> <tex-math notation="LaTeX">$S_{32}$ </tex-math></inline-formula>) of proposed WPD can achieve controllable in-band equal-ripple performance. To verify the effectiveness of proposed synthesis method, several design examples are presented and designed for demonstration of varied equal-ripple responses. Finally, two WPD circuits with <inline-formula> <tex-math notation="LaTeX">$N = 3$ </tex-math></inline-formula> are fabricated, and the measured results well validate the predicted ones from proposed method. |
| first_indexed | 2024-03-13T04:18:04Z |
| format | Article |
| id | doaj.art-bb1152d93b3e4122aa577008764a53ec |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-03-13T04:18:04Z |
| publishDate | 2023-01-01 |
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| spelling | doaj.art-bb1152d93b3e4122aa577008764a53ec2023-06-20T23:00:22ZengIEEEIEEE Access2169-35362023-01-0111592505926210.1109/ACCESS.2023.328299410144294A Synthesis Method for <italic>N</italic>-Section Unequal Ultra-Wideband Wilkinson Power Divider With Controllable Equal-Ripple PerformanceZizhuo Sun0Xiaolong Wang1https://orcid.org/0000-0001-6258-9947Lei Zhu2https://orcid.org/0000-0002-5348-7532Geyu Lu3State Key Laboratory of Integrated Optoelectronics, College of Electronic Science and Engineering, Jilin University, Changchun, ChinaState Key Laboratory of Integrated Optoelectronics, College of Electronic Science and Engineering, Jilin University, Changchun, ChinaDepartment of Electrical and Computer Engineering, University of Macau, Macau, ChinaState Key Laboratory of Integrated Optoelectronics, College of Electronic Science and Engineering, Jilin University, Changchun, ChinaIn this paper, a novel synthesis method is presented to design of a class of multi-section ultra-wideband (UWB) Wilkinson power dividers (WPDs) with an arbitrary power ratio. The proposed UWB-WPD topology consists of <inline-formula> <tex-math notation="LaTeX">$N$ </tex-math></inline-formula> cascaded asymmetric coupled line sections (ACLSs) and <inline-formula> <tex-math notation="LaTeX">$N$ </tex-math></inline-formula> isolation resistors. Through even- and odd-mode analysis, the proposed synthesis method is demonstrated with a few unique novelties as summarized: (1) It is for the first time proved that the first kind Chebyshev equal-ripple performance can be exactly realized by the cascaded transmission-line transformer without Hansen’s approximation; (2) It is also for the first time revealed that all the <inline-formula> <tex-math notation="LaTeX">$S$ </tex-math></inline-formula>-parameters (<inline-formula> <tex-math notation="LaTeX">$S_{11}$ </tex-math></inline-formula>, <inline-formula> <tex-math notation="LaTeX">$S_{21}$ </tex-math></inline-formula>, <inline-formula> <tex-math notation="LaTeX">$S_{31}$ </tex-math></inline-formula>, <inline-formula> <tex-math notation="LaTeX">$S_{22}$ </tex-math></inline-formula>, <inline-formula> <tex-math notation="LaTeX">$S_{33}$ </tex-math></inline-formula> and <inline-formula> <tex-math notation="LaTeX">$S_{32}$ </tex-math></inline-formula>) of proposed WPD can achieve controllable in-band equal-ripple performance. To verify the effectiveness of proposed synthesis method, several design examples are presented and designed for demonstration of varied equal-ripple responses. Finally, two WPD circuits with <inline-formula> <tex-math notation="LaTeX">$N = 3$ </tex-math></inline-formula> are fabricated, and the measured results well validate the predicted ones from proposed method.https://ieeexplore.ieee.org/document/10144294/Asymmetric coupled line section (ACLS)first-kind Chebyshev frequency responseultra-wideband (UWB)Wilkinson power divider (WPD) |
| spellingShingle | Zizhuo Sun Xiaolong Wang Lei Zhu Geyu Lu A Synthesis Method for <italic>N</italic>-Section Unequal Ultra-Wideband Wilkinson Power Divider With Controllable Equal-Ripple Performance IEEE Access Asymmetric coupled line section (ACLS) first-kind Chebyshev frequency response ultra-wideband (UWB) Wilkinson power divider (WPD) |
| title | A Synthesis Method for <italic>N</italic>-Section Unequal Ultra-Wideband Wilkinson Power Divider With Controllable Equal-Ripple Performance |
| title_full | A Synthesis Method for <italic>N</italic>-Section Unequal Ultra-Wideband Wilkinson Power Divider With Controllable Equal-Ripple Performance |
| title_fullStr | A Synthesis Method for <italic>N</italic>-Section Unequal Ultra-Wideband Wilkinson Power Divider With Controllable Equal-Ripple Performance |
| title_full_unstemmed | A Synthesis Method for <italic>N</italic>-Section Unequal Ultra-Wideband Wilkinson Power Divider With Controllable Equal-Ripple Performance |
| title_short | A Synthesis Method for <italic>N</italic>-Section Unequal Ultra-Wideband Wilkinson Power Divider With Controllable Equal-Ripple Performance |
| title_sort | synthesis method for italic n italic section unequal ultra wideband wilkinson power divider with controllable equal ripple performance |
| topic | Asymmetric coupled line section (ACLS) first-kind Chebyshev frequency response ultra-wideband (UWB) Wilkinson power divider (WPD) |
| url | https://ieeexplore.ieee.org/document/10144294/ |
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