{"id":"https://openalex.org/W4388893931","doi":"https://doi.org/10.1109/vlsi-soc57769.2023.10321911","title":"A Unity Feedback Length-Extend Delta-Sigma Modulator for Fractional-N Frequency Synthesizer","display_name":"A Unity Feedback Length-Extend Delta-Sigma Modulator for Fractional-N Frequency Synthesizer","publication_year":2023,"publication_date":"2023-10-16","ids":{"openalex":"https://openalex.org/W4388893931","doi":"https://doi.org/10.1109/vlsi-soc57769.2023.10321911"},"language":"en","primary_location":{"id":"doi:10.1109/vlsi-soc57769.2023.10321911","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/vlsi-soc57769.2023.10321911","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IFIP/IEEE 31st International Conference on Very Large Scale Integration (VLSI-SoC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100367667","display_name":"Junjie Li","orcid":"https://orcid.org/0000-0003-0142-8634"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Junjie Li","raw_affiliation_strings":["Southeast University,School of Information Science and Engineering,Nanjing,China","School of Information Science and Engineering, Southeast University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"Southeast University,School of Information Science and Engineering,Nanjing,China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"School of Information Science and Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101444240","display_name":"Youming Zhang","orcid":"https://orcid.org/0000-0002-3103-097X"},"institutions":[{"id":"https://openalex.org/I4210155350","display_name":"Purple Mountain Laboratories","ror":"https://ror.org/04zcbk583","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210155350"]},{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Youming Zhang","raw_affiliation_strings":["Southeast University,School of Cyber Science and Engineering,Nanjing,China","School of Cyber Science and Engineering, Southeast University, Nanjing, China","Purple Mountain Laboratories, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"Southeast University,School of Cyber Science and Engineering,Nanjing,China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"School of Cyber Science and Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"Purple Mountain Laboratories, Nanjing, China","institution_ids":["https://openalex.org/I4210155350"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087362937","display_name":"Yunqi Cao","orcid":null},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yunqi Cao","raw_affiliation_strings":["Southeast University,School of Cyber Science and Engineering,Nanjing,China","School of Cyber Science and Engineering, Southeast University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"Southeast University,School of Cyber Science and Engineering,Nanjing,China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"School of Cyber Science and Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042047220","display_name":"Xusheng Tang","orcid":"https://orcid.org/0000-0002-6730-7029"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]},{"id":"https://openalex.org/I4210155350","display_name":"Purple Mountain Laboratories","ror":"https://ror.org/04zcbk583","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210155350"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xusheng Tang","raw_affiliation_strings":["Southeast University,School of Cyber Science and Engineering,Nanjing,China","School of Cyber Science and Engineering, Southeast University, Nanjing, China","Purple Mountain Laboratories, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"Southeast University,School of Cyber Science and Engineering,Nanjing,China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"School of Cyber Science and Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"Purple Mountain Laboratories, Nanjing, China","institution_ids":["https://openalex.org/I4210155350"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5104201283","display_name":"Fengyi Huang","orcid":null},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]},{"id":"https://openalex.org/I4210155350","display_name":"Purple Mountain Laboratories","ror":"https://ror.org/04zcbk583","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210155350"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fengyi Huang","raw_affiliation_strings":["Southeast University,School of Cyber Science and Engineering,Nanjing,China","Purple Mountain Laboratories, Nanjing, China","School of Cyber Science and Engineering, Southeast University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"Southeast University,School of Cyber Science and Engineering,Nanjing,China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"Purple Mountain Laboratories, Nanjing, China","institution_ids":["https://openalex.org/I4210155350"]},{"raw_affiliation_string":"School of Cyber Science and Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100367667"],"corresponding_institution_ids":["https://openalex.org/I76569877"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14403585,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"4"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11417","display_name":"Advancements in PLL and VCO Technologies","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11417","display_name":"Advancements in PLL and VCO Technologies","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10323","display_name":"Analog and Mixed-Signal Circuit Design","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10187","display_name":"Radio Frequency Integrated Circuit Design","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.609194278717041},{"id":"https://openalex.org/keywords/delta-sigma-modulation","display_name":"Delta-sigma modulation","score":0.5430138111114502},{"id":"https://openalex.org/keywords/modulation","display_name":"Modulation (music)","score":0.5405714511871338},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.5117723345756531},{"id":"https://openalex.org/keywords/sigma","display_name":"Sigma","score":0.49452897906303406},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4722261428833008},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4650465250015259},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.42731037735939026},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3919804096221924},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3827604055404663},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3601455092430115},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3346656858921051},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30797821283340454},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.28504514694213867},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22210723161697388},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14368343353271484},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.12981048226356506},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.07890474796295166}],"concepts":[{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.609194278717041},{"id":"https://openalex.org/C68754193","wikidata":"https://www.wikidata.org/wiki/Q1184820","display_name":"Delta-sigma modulation","level":3,"score":0.5430138111114502},{"id":"https://openalex.org/C123079801","wikidata":"https://www.wikidata.org/wiki/Q750240","display_name":"Modulation (music)","level":2,"score":0.5405714511871338},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5117723345756531},{"id":"https://openalex.org/C2778049214","wikidata":"https://www.wikidata.org/wiki/Q7512234","display_name":"Sigma","level":2,"score":0.49452897906303406},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4722261428833008},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4650465250015259},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.42731037735939026},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3919804096221924},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3827604055404663},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3601455092430115},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3346656858921051},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30797821283340454},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.28504514694213867},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22210723161697388},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14368343353271484},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.12981048226356506},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.07890474796295166},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/vlsi-soc57769.2023.10321911","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/vlsi-soc57769.2023.10321911","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IFIP/IEEE 31st International Conference on Very Large Scale Integration (VLSI-SoC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W2014334586","https://openalex.org/W2018704819","https://openalex.org/W2030258400","https://openalex.org/W2114287751","https://openalex.org/W2134962970","https://openalex.org/W2160017795","https://openalex.org/W2164045198","https://openalex.org/W2171035445","https://openalex.org/W2800553444","https://openalex.org/W3033995135"],"related_works":["https://openalex.org/W2495953643","https://openalex.org/W2538983634","https://openalex.org/W1987658008","https://openalex.org/W2800677388","https://openalex.org/W2099210776","https://openalex.org/W2154555498","https://openalex.org/W3010725604","https://openalex.org/W2040229502","https://openalex.org/W2087338710","https://openalex.org/W4233608695"],"abstract_inverted_index":{"A":[0],"unity":[1],"feedback":[2,22,29],"length-extend":[3],"multistage":[4],"noise-shaping":[5],"(MASH)":[6],"delta-sigma":[7],"modulator":[8],"(DSM)":[9],"is":[10,40,66,88,105,120],"presented":[11],"in":[12],"this":[13,34,71],"paper.":[14],"The":[15],"proposed":[16,133],"length":[17,57,80,119],"extension":[18],"technique":[19],"adds":[20],"a":[21,138],"path,":[23],"like":[24],"HK-MASH,":[25],"and":[26,47,53,95],"fixes":[27],"the":[28,44,48,89,92,96,106,116,125,132,142],"factor":[30],"to":[31,82,99],"unity.":[32],"In":[33],"way,":[35],"only":[36],"one":[37],"additional":[38],"register":[39],"needed,":[41],"which":[42],"decreases":[43],"operating":[45],"time":[46],"hardware":[49,146],"cost":[50],"of":[51,58,91,110,124,144],"DSM,":[52],"achieves":[54],"maximum":[55,78],"sequence":[56,79,118],"M-1":[59],"($M":[60],"=":[61],"{2^{{n_0}}}$,":[62],"n<inf":[63],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[64,84,101],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">0</inf>":[65],"input":[67,126],"word":[68],"length).":[69],"Using":[70],"structure,":[72,131],"MASH":[73,93,134],"DSMs":[74],"are":[75],"optimized":[76],"with":[77,129],"extending":[81,98],"(M-1)<sup":[83],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">l</sup>":[85],"(":[86,103],"l":[87],"order":[90],"DSM)":[94],"minimum":[97],"N(M-1)<sup":[100],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">l-1</sup>":[102],"N":[104],"smallest":[107],"prime":[108],"number":[109],"M-1).":[111],"This":[112],"paper":[113],"proves":[114],"that":[115],"output":[117],"exponentially":[121],"increased,":[122],"regardless":[123],"value.":[127],"Compared":[128],"classical":[130],"1-1-1":[135],"structure":[136],"shows":[137],"spur-free":[139],"performance":[140],"at":[141],"expense":[143],"limited":[145],"cost.":[147]},"counts_by_year":[],"updated_date":"2025-12-21T23:12:01.093139","created_date":"2025-10-10T00:00:00"}