Design and Synthesis of Inductorless Passive Cell Operating as Stop-Band Negative Group Delay Function
This paper develops an original circuit theory of unfamiliar stop-band (SB) negative group delay (NGD) topology. The proposed NGD topology is implemented without inductor component. The developed theory is established with passive cell constituted by RC-network based high-pass (HP) and low-pass (LP)...
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description | This paper develops an original circuit theory of unfamiliar stop-band (SB) negative group delay (NGD) topology. The proposed NGD topology is implemented without inductor component. The developed theory is established with passive cell constituted by RC-network based high-pass (HP) and low-pass (LP) NGD composite circuits. The analytical investigation of the SB-NGD circuit is introduced from the elaboration of voltage transfer function (VTF). The canonical form enabling to identify SB-NGD circuit is analytically expressed. The different SB-NGD characteristics as GD value, and, center and cut-off frequencies are innovatively formulated in function of the circuit resistor and capacitor components. The existence condition of SB-NGD function is also established. The inductorless SB-NGD topology is validated by a proof-of-concept (POC) circuit implemented by surface-mounted-device (SMD) component based printed circuit board (PCB). The measured VTF magnitude and group delay (GD) are extracted from the experimented S-parameters. A good agreement between the calculated, simulated and measured results is obtained. The SB-NGD behavior has measured center frequency of about 32 MHz. The lower- and upper-NGD cut-off frequencies are about 9.15 MHz and 98.3 MHz. The optimal NGD values at low and higher frequencies are −3.25 ns and −56 ps. |
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The proposed NGD topology is implemented without inductor component. The developed theory is established with passive cell constituted by RC-network based high-pass (HP) and low-pass (LP) NGD composite circuits. The analytical investigation of the SB-NGD circuit is introduced from the elaboration of voltage transfer function (VTF). The canonical form enabling to identify SB-NGD circuit is analytically expressed. The different SB-NGD characteristics as GD value, and, center and cut-off frequencies are innovatively formulated in function of the circuit resistor and capacitor components. The existence condition of SB-NGD function is also established. The inductorless SB-NGD topology is validated by a proof-of-concept (POC) circuit implemented by surface-mounted-device (SMD) component based printed circuit board (PCB). The measured VTF magnitude and group delay (GD) are extracted from the experimented S-parameters. A good agreement between the calculated, simulated and measured results is obtained. The SB-NGD behavior has measured center frequency of about 32 MHz. The lower- and upper-NGD cut-off frequencies are about 9.15 MHz and 98.3 MHz. The optimal NGD values at low and higher frequencies are −3.25 ns and −56 ps.</description><identifier>ISSN: 2169-3536</identifier><identifier>EISSN: 2169-3536</identifier><identifier>DOI: 10.1109/ACCESS.2021.3095814</identifier><identifier>CODEN: IAECCG</identifier><language>eng</language><publisher>Piscataway: IEEE</publisher><subject>Canonical forms ; Circuit boards ; Circuit theory ; Delays ; Electronics ; Engineering Sciences ; Group delay ; inductorless topology ; Microwave filters ; negative group delay (NGD) ; Network topology ; passive cell ; Printed circuits ; Resonant frequency ; Semiconductor device measurement ; stop-band (SB) NGD function ; Topology ; Transfer functions</subject><ispartof>IEEE access, 2021, Vol.9, p.100141-100153</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2021</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c442t-f774d05e958139549139156126e7eddcb7ec26954b7a489c8031cd73878c54103</citedby><cites>FETCH-LOGICAL-c442t-f774d05e958139549139156126e7eddcb7ec26954b7a489c8031cd73878c54103</cites><orcidid>0000-0001-8576-3733 ; 0000-0003-2821-7212 ; 0000-0001-7334-5016 ; 0000-0003-1508-5927 ; 0000-0001-7517-672X ; 0000-0002-5626-6065 ; 0000-0001-9795-0667</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/9477553$$EHTML$$P50$$Gieee$$Hfree_for_read</linktohtml><link.rule.ids>230,314,776,780,860,881,2096,4010,27610,27900,27901,27902,54908</link.rule.ids><backlink>$$Uhttps://hal.univ-reunion.fr/hal-03375103$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Guerin, Mathieu</creatorcontrib><creatorcontrib>Liu, Yang</creatorcontrib><creatorcontrib>Douyere, Alexandre</creatorcontrib><creatorcontrib>Chan, George</creatorcontrib><creatorcontrib>Wan, Fayu</creatorcontrib><creatorcontrib>Lallechere, Sebastien</creatorcontrib><creatorcontrib>Rahajandraibe, Wenceslas</creatorcontrib><creatorcontrib>Ravelo, Blaise</creatorcontrib><title>Design and Synthesis of Inductorless Passive Cell Operating as Stop-Band Negative Group Delay Function</title><title>IEEE access</title><addtitle>Access</addtitle><description>This paper develops an original circuit theory of unfamiliar stop-band (SB) negative group delay (NGD) topology. The proposed NGD topology is implemented without inductor component. The developed theory is established with passive cell constituted by RC-network based high-pass (HP) and low-pass (LP) NGD composite circuits. The analytical investigation of the SB-NGD circuit is introduced from the elaboration of voltage transfer function (VTF). The canonical form enabling to identify SB-NGD circuit is analytically expressed. The different SB-NGD characteristics as GD value, and, center and cut-off frequencies are innovatively formulated in function of the circuit resistor and capacitor components. The existence condition of SB-NGD function is also established. The inductorless SB-NGD topology is validated by a proof-of-concept (POC) circuit implemented by surface-mounted-device (SMD) component based printed circuit board (PCB). The measured VTF magnitude and group delay (GD) are extracted from the experimented S-parameters. A good agreement between the calculated, simulated and measured results is obtained. The SB-NGD behavior has measured center frequency of about 32 MHz. The lower- and upper-NGD cut-off frequencies are about 9.15 MHz and 98.3 MHz. The optimal NGD values at low and higher frequencies are −3.25 ns and −56 ps.</description><subject>Canonical forms</subject><subject>Circuit boards</subject><subject>Circuit theory</subject><subject>Delays</subject><subject>Electronics</subject><subject>Engineering Sciences</subject><subject>Group delay</subject><subject>inductorless topology</subject><subject>Microwave filters</subject><subject>negative group delay (NGD)</subject><subject>Network topology</subject><subject>passive cell</subject><subject>Printed circuits</subject><subject>Resonant frequency</subject><subject>Semiconductor device measurement</subject><subject>stop-band (SB) NGD function</subject><subject>Topology</subject><subject>Transfer functions</subject><issn>2169-3536</issn><issn>2169-3536</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>ESBDL</sourceid><sourceid>RIE</sourceid><sourceid>DOA</sourceid><recordid>eNpVkUtLxDAUhYsoKOovcBNw5aJjnk2zHKujA4MKo-uQSW_HDrWpSSvMvze1IppFHodzvuTmJskFwTNCsLqeF8Xdej2jmJIZw0rkhB8kJ5RkKmWCZYd_9sfJeQg7HEceJSFPkuoWQr1tkWlLtN63_Vs8BuQqtGzLwfbONxACejYh1J-ACmga9NSBN33dbpEJaN27Lr0Z04-wjWo03Xs3dOgWGrNHi6G1fe3as-SoMk2A85_1NHld3L0UD-nq6X5ZzFep5Zz2aSUlL7GAsQimBFdxJiIjNAMJZWk3EiyND-cbaXiubI4ZsaVkucyt4ASz02Q5cUtndrrz9bvxe-1Mrb8F57fa-L62DWiFaZZbEhGm4oBzk5WKALUq21Ci-Mi6mlhvpvmHepiv9KhhxqSIl36S6L2cvJ13HwOEXu_c4NtYqqZCMKFE_PLoYpPLeheCh-oXS7Aee6mnXuqxl_qnlzF1MaVqAPhNKC5lJLMvDlmXRg</recordid><startdate>2021</startdate><enddate>2021</enddate><creator>Guerin, Mathieu</creator><creator>Liu, Yang</creator><creator>Douyere, Alexandre</creator><creator>Chan, George</creator><creator>Wan, Fayu</creator><creator>Lallechere, Sebastien</creator><creator>Rahajandraibe, Wenceslas</creator><creator>Ravelo, Blaise</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. (IEEE)</general><scope>97E</scope><scope>ESBDL</scope><scope>RIA</scope><scope>RIE</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>7SR</scope><scope>8BQ</scope><scope>8FD</scope><scope>JG9</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>1XC</scope><scope>VOOES</scope><scope>DOA</scope><orcidid>https://orcid.org/0000-0001-8576-3733</orcidid><orcidid>https://orcid.org/0000-0003-2821-7212</orcidid><orcidid>https://orcid.org/0000-0001-7334-5016</orcidid><orcidid>https://orcid.org/0000-0003-1508-5927</orcidid><orcidid>https://orcid.org/0000-0001-7517-672X</orcidid><orcidid>https://orcid.org/0000-0002-5626-6065</orcidid><orcidid>https://orcid.org/0000-0001-9795-0667</orcidid></search><sort><creationdate>2021</creationdate><title>Design and Synthesis of Inductorless Passive Cell Operating as Stop-Band Negative Group Delay Function</title><author>Guerin, Mathieu ; Liu, Yang ; Douyere, Alexandre ; Chan, George ; Wan, Fayu ; Lallechere, Sebastien ; Rahajandraibe, Wenceslas ; Ravelo, Blaise</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c442t-f774d05e958139549139156126e7eddcb7ec26954b7a489c8031cd73878c54103</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Canonical forms</topic><topic>Circuit boards</topic><topic>Circuit theory</topic><topic>Delays</topic><topic>Electronics</topic><topic>Engineering Sciences</topic><topic>Group delay</topic><topic>inductorless topology</topic><topic>Microwave filters</topic><topic>negative group delay (NGD)</topic><topic>Network topology</topic><topic>passive cell</topic><topic>Printed circuits</topic><topic>Resonant frequency</topic><topic>Semiconductor device measurement</topic><topic>stop-band (SB) NGD function</topic><topic>Topology</topic><topic>Transfer functions</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Guerin, Mathieu</creatorcontrib><creatorcontrib>Liu, Yang</creatorcontrib><creatorcontrib>Douyere, Alexandre</creatorcontrib><creatorcontrib>Chan, George</creatorcontrib><creatorcontrib>Wan, Fayu</creatorcontrib><creatorcontrib>Lallechere, Sebastien</creatorcontrib><creatorcontrib>Rahajandraibe, Wenceslas</creatorcontrib><creatorcontrib>Ravelo, Blaise</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005-present</collection><collection>IEEE Open Access Journals</collection><collection>IEEE All-Society Periodicals Package (ASPP) 1998-Present</collection><collection>IEEE Electronic Library (IEL)</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Engineered Materials Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Materials Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>Hyper Article en Ligne (HAL)</collection><collection>Hyper Article en Ligne (HAL) (Open Access)</collection><collection>DOAJ Directory of Open Access Journals</collection><jtitle>IEEE access</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Guerin, Mathieu</au><au>Liu, Yang</au><au>Douyere, Alexandre</au><au>Chan, George</au><au>Wan, Fayu</au><au>Lallechere, Sebastien</au><au>Rahajandraibe, Wenceslas</au><au>Ravelo, Blaise</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Design and Synthesis of Inductorless Passive Cell Operating as Stop-Band Negative Group Delay Function</atitle><jtitle>IEEE access</jtitle><stitle>Access</stitle><date>2021</date><risdate>2021</risdate><volume>9</volume><spage>100141</spage><epage>100153</epage><pages>100141-100153</pages><issn>2169-3536</issn><eissn>2169-3536</eissn><coden>IAECCG</coden><abstract>This paper develops an original circuit theory of unfamiliar stop-band (SB) negative group delay (NGD) topology. The proposed NGD topology is implemented without inductor component. The developed theory is established with passive cell constituted by RC-network based high-pass (HP) and low-pass (LP) NGD composite circuits. The analytical investigation of the SB-NGD circuit is introduced from the elaboration of voltage transfer function (VTF). The canonical form enabling to identify SB-NGD circuit is analytically expressed. The different SB-NGD characteristics as GD value, and, center and cut-off frequencies are innovatively formulated in function of the circuit resistor and capacitor components. The existence condition of SB-NGD function is also established. The inductorless SB-NGD topology is validated by a proof-of-concept (POC) circuit implemented by surface-mounted-device (SMD) component based printed circuit board (PCB). The measured VTF magnitude and group delay (GD) are extracted from the experimented S-parameters. A good agreement between the calculated, simulated and measured results is obtained. The SB-NGD behavior has measured center frequency of about 32 MHz. The lower- and upper-NGD cut-off frequencies are about 9.15 MHz and 98.3 MHz. The optimal NGD values at low and higher frequencies are −3.25 ns and −56 ps.</abstract><cop>Piscataway</cop><pub>IEEE</pub><doi>10.1109/ACCESS.2021.3095814</doi><tpages>13</tpages><orcidid>https://orcid.org/0000-0001-8576-3733</orcidid><orcidid>https://orcid.org/0000-0003-2821-7212</orcidid><orcidid>https://orcid.org/0000-0001-7334-5016</orcidid><orcidid>https://orcid.org/0000-0003-1508-5927</orcidid><orcidid>https://orcid.org/0000-0001-7517-672X</orcidid><orcidid>https://orcid.org/0000-0002-5626-6065</orcidid><orcidid>https://orcid.org/0000-0001-9795-0667</orcidid><oa>free_for_read</oa></addata></record> |
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subjects | Canonical forms Circuit boards Circuit theory Delays Electronics Engineering Sciences Group delay inductorless topology Microwave filters negative group delay (NGD) Network topology passive cell Printed circuits Resonant frequency Semiconductor device measurement stop-band (SB) NGD function Topology Transfer functions |
title | Design and Synthesis of Inductorless Passive Cell Operating as Stop-Band Negative Group Delay Function |
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