8ab6813e9e5899b1b3f555c1ca3cbe52 electronics_a2021v10n24p3058.pdf ada1f52e8632b3859a05c64454abb8ae1dc7d4c5 electronics_a2021v10n24p3058.pdf d72b85caacaa52952c9685a8435a66df079a13ec9a30cf533e3485181fe84a54 electronics_a2021v10n24p3058.pdf Title: Phase Role in the Non-Uniformity of Main-Line Couplings in Asymmetric Extracted-Pole Inline Filters Subject: The use of classical symmetrical polynomial definition to synthesize fully canonical inline filters with an asymmetrical distribution of the transmission zeros along the topology leads to the occurrence of uneven admittance inverter in the main-line. This form introduces some limitations to transform such topology into a ladder network. Despite circuital transformation can be used to accommodate both technology and topology, it is usual that extra reactive elements are necessary to implement phase shifts required to achieve the complete synthesis. This article introduces a novel method able to determine the required phase correction that has to be applied to the characteristic polynomials in order to equalize all the admittance inverters in the main path to the same value. It has been demonstrated that a suitable pair of phase values can be accurately estimated using a developed hyperbolic model which can be obtained from the transmission and reflection scattering parameters. To experimentally validate the proposed method, a Ladder-type filter with asymmetrical polynomial definition has been synthesized, fabricated, and measured, demonstrating the effectiveness of the developed solution. Keywords: asymmetrical polynomials synthesis; ladder network; main-line phase shift Author: Ángel Triano , Patricia Silveira, Jordi Verdú, Eloi Guerrero and Pedro de Paco Creator: LaTeX with hyperref Producer: pdfTeX-1.40.21 CreationDate: Thu Dec 9 11:59:47 2021 CET ModDate: Thu Dec 9 12:05:21 2021 CET Tagged: no UserProperties: no Suspects: no Form: none JavaScript: no Pages: 21 Encrypted: no Page size: 595.276 x 841.89 pts (A4) Page rot: 0 File size: 3795119 bytes Optimized: no PDF version: 1.7 name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- NLZRRI+URWPalladioL-Ital Type 1 Custom yes yes no 10 0 CVOMWJ+URWPalladioL-Bold Type 1 Custom yes yes no 15 0 NYSZKC+URWPalladioL-Roma Type 1 Custom yes yes no 19 0 SOSTRQ+CMR10 Type 1 Builtin yes yes no 23 0 GKSXYT+TimesNewRomanPS-BoldItalicMT Type 1C WinAnsi yes yes no 31 0 MCBCCI+SourceSansRoman-Regular Type 1C Custom yes yes no 53 0 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FreeObjects: 1 IncrementalUpdates: 0 DocumentCatalog: PageLayout: SinglePage PageMode: UseNone Outlines: Item: Title: Introduction Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@12f41634 Item: Title: Uneven Admittance Inverters in Inline Fully Canonical Filters with Dangling Resonators Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@13c27452 Item: Title: Asymmetrical Polynomial Definition Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@262b2c86 Item: Title: Phase Determination Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@371a67ec Children: Item: Title: Odd-Order Ladder Filters Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@5ed828d Item: Title: Relationship between the Phase Map and the Admittance Redistribution Method Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@50d0686 Item: Title: Even-Order Ladder Filters Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@7a3d45bd Item: Title: Fast Estimation of the Phase Maps Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@1e7c7811 Children: Item: Title: Hyperbolic Model Estimation Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@77ec78b9 Item: Title: Illustrative Synthesis Example Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@1a3869f4 Item: Title: Ellipsoidal Model Estimation Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@a38d7a3 Item: Title: Experimental Validation Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@77f99a05 Item: Title: Conclusions Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@63440df3 Item: Title: References Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@3aeaafa6 Info: Title: Phase Role in the Non-Uniformity of Main-Line Couplings in Asymmetric Extracted-Pole Inline Filters Author: Ángel Triano , Patricia Silveira, Jordi Verdú, Eloi Guerrero and Pedro de Paco Subject: The use of classical symmetrical polynomial definition to synthesize fully canonical inline filters with an asymmetrical distribution of the transmission zeros along the topology leads to the occurrence of uneven admittance inverter in the main-line. This form introduces some limitations to transform such topology into a ladder network. Despite circuital transformation can be used to accommodate both technology and topology, it is usual that extra reactive elements are necessary to implement phase shifts required to achieve the complete synthesis. This article introduces a novel method able to determine the required phase correction that has to be applied to the characteristic polynomials in order to equalize all the admittance inverters in the main path to the same value. It has been demonstrated that a suitable pair of phase values can be accurately estimated using a developed hyperbolic model which can be obtained from the transmission and reflection scattering parameters. To experimentally validate the proposed method, a Ladder-type filter with asymmetrical polynomial definition has been synthesized, fabricated, and measured, demonstrating the effectiveness of the developed solution. 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