A Robust Algorithm for the Design of Wideband Positive-Slope Linear Group Delay Filters
This article proposes a robust method for the synthesis and design of optimal linear group delay filters with prescribed bandwidth and dispersion properties. The proposed filters are based on a cascade of second-order all-pass filter cells, for which all the parameters are optimized in order to reac...
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| Veröffentlicht in: | IEEE transactions on circuits and systems. I, Regular papers Regular papers, 2022-10, Vol.69 (10), p.4258-4271 |
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| container_title | IEEE transactions on circuits and systems. I, Regular papers |
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| creator | Milic, Dejan N. Avignon-Meseldzija, Emilie Anastasov, Jelena A. Meliani, Hanane Benlarbi-Delai, Aziz |
| description | This article proposes a robust method for the synthesis and design of optimal linear group delay filters with prescribed bandwidth and dispersion properties. The proposed filters are based on a cascade of second-order all-pass filter cells, for which all the parameters are optimized in order to reach the desired wideband linear group delay characteristic with positive slope. Compared to the previously published synthesis method, the proposed approach offers appropriate initialization enabling convergence and aiming for the optimal solution. The method's convergence and robustness are proved through a 21-cells synthesis, which is the highest number of cascaded cells reported to date, due to the usual convergence problem. Then the electronic feasibility is illustrated through the measurement results of a lumped-elements linear group-delay filter prototype dimensioned with this method. The measured group delay presents a positive slope of 8 ns GHz −1 in the frequency range [100-725] MHz. It is, to the best of our knowledge, the highest positive slope reported to date with an electronic implementation (i.e except SAW and waveguide devices). |
| doi_str_mv | 10.1109/TCSI.2022.3183787 |
| format | Article |
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The proposed filters are based on a cascade of second-order all-pass filter cells, for which all the parameters are optimized in order to reach the desired wideband linear group delay characteristic with positive slope. Compared to the previously published synthesis method, the proposed approach offers appropriate initialization enabling convergence and aiming for the optimal solution. The method's convergence and robustness are proved through a 21-cells synthesis, which is the highest number of cascaded cells reported to date, due to the usual convergence problem. Then the electronic feasibility is illustrated through the measurement results of a lumped-elements linear group-delay filter prototype dimensioned with this method. The measured group delay presents a positive slope of 8 ns GHz −1 in the frequency range [100-725] MHz. 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(IEEE) 2022</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c257t-81bbb27d2a0ee9258aa40d0dbc77bcad5d9da643e7d3c2f913fd052feeb67c7c3</citedby><cites>FETCH-LOGICAL-c257t-81bbb27d2a0ee9258aa40d0dbc77bcad5d9da643e7d3c2f913fd052feeb67c7c3</cites><orcidid>0000-0003-4654-4735 ; 0000-0001-6472-2027 ; 0000-0001-5268-9223 ; 0009-0006-2118-3880</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/9803870$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>230,314,776,780,792,881,27901,27902,54733</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/9803870$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc><backlink>$$Uhttps://hal.science/hal-03712091$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Milic, Dejan N.</creatorcontrib><creatorcontrib>Avignon-Meseldzija, Emilie</creatorcontrib><creatorcontrib>Anastasov, Jelena A.</creatorcontrib><creatorcontrib>Meliani, Hanane</creatorcontrib><creatorcontrib>Benlarbi-Delai, Aziz</creatorcontrib><title>A Robust Algorithm for the Design of Wideband Positive-Slope Linear Group Delay Filters</title><title>IEEE transactions on circuits and systems. I, Regular papers</title><addtitle>TCSI</addtitle><description>This article proposes a robust method for the synthesis and design of optimal linear group delay filters with prescribed bandwidth and dispersion properties. The proposed filters are based on a cascade of second-order all-pass filter cells, for which all the parameters are optimized in order to reach the desired wideband linear group delay characteristic with positive slope. Compared to the previously published synthesis method, the proposed approach offers appropriate initialization enabling convergence and aiming for the optimal solution. The method's convergence and robustness are proved through a 21-cells synthesis, which is the highest number of cascaded cells reported to date, due to the usual convergence problem. Then the electronic feasibility is illustrated through the measurement results of a lumped-elements linear group-delay filter prototype dimensioned with this method. The measured group delay presents a positive slope of 8 ns GHz −1 in the frequency range [100-725] MHz. 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(IEEE)</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>8FD</scope><scope>L7M</scope><scope>1XC</scope><orcidid>https://orcid.org/0000-0003-4654-4735</orcidid><orcidid>https://orcid.org/0000-0001-6472-2027</orcidid><orcidid>https://orcid.org/0000-0001-5268-9223</orcidid><orcidid>https://orcid.org/0009-0006-2118-3880</orcidid></search><sort><creationdate>20221001</creationdate><title>A Robust Algorithm for the Design of Wideband Positive-Slope Linear Group Delay Filters</title><author>Milic, Dejan N. ; Avignon-Meseldzija, Emilie ; Anastasov, Jelena A. ; Meliani, Hanane ; Benlarbi-Delai, Aziz</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c257t-81bbb27d2a0ee9258aa40d0dbc77bcad5d9da643e7d3c2f913fd052feeb67c7c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Algorithms</topic><topic>analog signal processing</topic><topic>Broadband</topic><topic>Convergence</topic><topic>Delays</topic><topic>Dispersion</topic><topic>Dispersive filter</topic><topic>Engineering Sciences</topic><topic>Frequency ranges</topic><topic>Group delay</topic><topic>linear group delay</topic><topic>Linearity</topic><topic>mean-squared error</topic><topic>Micro and nanotechnologies</topic><topic>Microelectronics</topic><topic>Optimization</topic><topic>phaser</topic><topic>Surface acoustic waves</topic><topic>Synthesis</topic><topic>Waveguides</topic><topic>Wideband</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Milic, Dejan N.</creatorcontrib><creatorcontrib>Avignon-Meseldzija, Emilie</creatorcontrib><creatorcontrib>Anastasov, Jelena A.</creatorcontrib><creatorcontrib>Meliani, Hanane</creatorcontrib><creatorcontrib>Benlarbi-Delai, Aziz</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005-present</collection><collection>IEEE All-Society Periodicals Package (ASPP) 1998-Present</collection><collection>IEEE Electronic Library (IEL)</collection><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Hyper Article en Ligne (HAL)</collection><jtitle>IEEE transactions on circuits and systems. I, Regular papers</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Milic, Dejan N.</au><au>Avignon-Meseldzija, Emilie</au><au>Anastasov, Jelena A.</au><au>Meliani, Hanane</au><au>Benlarbi-Delai, Aziz</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A Robust Algorithm for the Design of Wideband Positive-Slope Linear Group Delay Filters</atitle><jtitle>IEEE transactions on circuits and systems. I, Regular papers</jtitle><stitle>TCSI</stitle><date>2022-10-01</date><risdate>2022</risdate><volume>69</volume><issue>10</issue><spage>4258</spage><epage>4271</epage><pages>4258-4271</pages><issn>1549-8328</issn><eissn>1558-0806</eissn><coden>ITCSCH</coden><abstract>This article proposes a robust method for the synthesis and design of optimal linear group delay filters with prescribed bandwidth and dispersion properties. 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| subjects | Algorithms analog signal processing Broadband Convergence Delays Dispersion Dispersive filter Engineering Sciences Frequency ranges Group delay linear group delay Linearity mean-squared error Micro and nanotechnologies Microelectronics Optimization phaser Surface acoustic waves Synthesis Waveguides Wideband |
| title | A Robust Algorithm for the Design of Wideband Positive-Slope Linear Group Delay Filters |
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