{"id":"https://openalex.org/W2323950311","doi":"https://doi.org/10.1109/tcsi.2016.2525078","title":"Reducing Phase Noise in Multi-Phase Oscillators","display_name":"Reducing Phase Noise in Multi-Phase Oscillators","publication_year":2016,"publication_date":"2016-02-26","ids":{"openalex":"https://openalex.org/W2323950311","doi":"https://doi.org/10.1109/tcsi.2016.2525078","mag":"2323950311"},"language":"en","primary_location":{"id":"doi:10.1109/tcsi.2016.2525078","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2016.2525078","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems I: Regular Papers","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/11311/1005997","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027561141","display_name":"Paolo Maffezzoni","orcid":"https://orcid.org/0000-0001-9778-0039"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Paolo Maffezzoni","raw_affiliation_strings":["Politecnico di Milano, Milan, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Politecnico di Milano, Milan, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051868217","display_name":"Bichoy Bahr","orcid":null},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bichoy Bahr","raw_affiliation_strings":["Massachusetts Institute of Technology (MIT), Cambridge, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology (MIT), Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100459107","display_name":"Zheng Zhang","orcid":"https://orcid.org/0000-0002-2292-0030"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zheng Zhang","raw_affiliation_strings":["Massachusetts Institute of Technology (MIT), Cambridge, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology (MIT), Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021651870","display_name":"Luca Daniel","orcid":"https://orcid.org/0000-0002-5880-3151"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Luca Daniel","raw_affiliation_strings":["Massachusetts Institute of Technology (MIT), Cambridge, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology (MIT), Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7002,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.70939353,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"63","issue":"3","first_page":"379","last_page":"388"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11160","display_name":"Acoustic Wave Resonator Technologies","score":0.9975000023841858,"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"}},"topics":[{"id":"https://openalex.org/T11160","display_name":"Acoustic Wave Resonator Technologies","score":0.9975000023841858,"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/T10369","display_name":"Advanced MEMS and NEMS Technologies","score":0.9865000247955322,"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/T11429","display_name":"Semiconductor Lasers and Optical Devices","score":0.9840999841690063,"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/phase-noise","display_name":"Phase noise","score":0.862908124923706},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.6959578990936279},{"id":"https://openalex.org/keywords/oscillator-phase-noise","display_name":"Oscillator phase noise","score":0.6581703424453735},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.562355101108551},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.5492498874664307},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5481985211372375},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.5249407291412354},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.5219758749008179},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.4989466667175293},{"id":"https://openalex.org/keywords/degradation","display_name":"Degradation (telecommunications)","score":0.45379436016082764},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.41535454988479614},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3285565972328186},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2456582486629486},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.2304742932319641},{"id":"https://openalex.org/keywords/noise-figure","display_name":"Noise figure","score":0.1771080195903778},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.15759047865867615},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0703718364238739}],"concepts":[{"id":"https://openalex.org/C89631360","wikidata":"https://www.wikidata.org/wiki/Q1428766","display_name":"Phase noise","level":2,"score":0.862908124923706},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.6959578990936279},{"id":"https://openalex.org/C26571440","wikidata":"https://www.wikidata.org/wiki/Q7106415","display_name":"Oscillator phase noise","level":5,"score":0.6581703424453735},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.562355101108551},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.5492498874664307},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5481985211372375},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.5249407291412354},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.5219758749008179},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.4989466667175293},{"id":"https://openalex.org/C2779679103","wikidata":"https://www.wikidata.org/wiki/Q5251805","display_name":"Degradation (telecommunications)","level":2,"score":0.45379436016082764},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.41535454988479614},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3285565972328186},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2456582486629486},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2304742932319641},{"id":"https://openalex.org/C112806910","wikidata":"https://www.wikidata.org/wiki/Q746825","display_name":"Noise figure","level":4,"score":0.1771080195903778},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.15759047865867615},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0703718364238739},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C46362747","wikidata":"https://www.wikidata.org/wiki/Q173431","display_name":"CMOS","level":2,"score":0.0},{"id":"https://openalex.org/C194257627","wikidata":"https://www.wikidata.org/wiki/Q211554","display_name":"Amplifier","level":3,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcsi.2016.2525078","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2016.2525078","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems I: Regular Papers","raw_type":"journal-article"},{"id":"pmh:oai:re.public.polimi.it:11311/1005997","is_oa":true,"landing_page_url":"http://hdl.handle.net/11311/1005997","pdf_url":null,"source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:re.public.polimi.it:11311/1005997","is_oa":true,"landing_page_url":"http://hdl.handle.net/11311/1005997","pdf_url":null,"source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure","score":0.4399999976158142}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W950991549","https://openalex.org/W1544430784","https://openalex.org/W1980007064","https://openalex.org/W1987712409","https://openalex.org/W1990602655","https://openalex.org/W2001188743","https://openalex.org/W2009363313","https://openalex.org/W2023453077","https://openalex.org/W2032150662","https://openalex.org/W2046326589","https://openalex.org/W2051049739","https://openalex.org/W2071861249","https://openalex.org/W2098317737","https://openalex.org/W2111079473","https://openalex.org/W2115732882","https://openalex.org/W2115807376","https://openalex.org/W2142015661","https://openalex.org/W2143674393","https://openalex.org/W2156253373","https://openalex.org/W2170601652","https://openalex.org/W2336877729","https://openalex.org/W3150951043","https://openalex.org/W4239859941","https://openalex.org/W4241638632","https://openalex.org/W6682957154"],"related_works":["https://openalex.org/W1596740232","https://openalex.org/W3217096146","https://openalex.org/W2156253373","https://openalex.org/W2043715255","https://openalex.org/W2168434283","https://openalex.org/W2105611532","https://openalex.org/W2143434922","https://openalex.org/W2087811809","https://openalex.org/W2154014340","https://openalex.org/W2225810880"],"abstract_inverted_index":{"This":[0],"paper":[1,35],"investigates":[2],"phase":[3,98,147,153],"noise":[4,49,61,72,84],"mechanism":[5],"in":[6,26,33,63,76],"arrays":[7,13,65],"of":[8,22,48,97,127],"resonant":[9],"LC":[10],"oscillators.":[11],"Such":[12],"represent":[14],"today":[15],"a":[16,89,119,128],"promising":[17],"solution":[18],"for":[19,94],"the":[20,45,110,125,139,145],"generation":[21,62],"multi-phase":[23],"signals":[24],"needed":[25],"several":[27],"advanced":[28],"applications.":[29],"The":[30,54],"analysis":[31,56],"presented":[32],"this":[34,105,133],"relies":[36],"on":[37,44,60],"consolidated":[38],"phase-domain":[39],"macromodels":[40],"as":[41,43],"well":[42],"original":[46],"concept":[47,87],"transfer":[50,85],"function":[51,86],"illustrated":[52],"herein.":[53],"proposed":[55],"sheds":[57],"new":[58],"light":[59],"oscillator":[64],"and":[66,100,108],"is":[67,136],"able":[68,116],"to":[69,104,109,117],"explain":[70],"certain":[71],"degradation":[73],"effects":[74],"observed":[75],"nonreciprocal":[77],"coupling":[78],"networks.":[79],"Phase-domain":[80],"simulation":[81],"together":[82],"with":[83],"provide":[88,144],"very":[90],"efficient":[91,106],"computational":[92],"tool":[93,107],"rapid":[95],"calculations":[96],"response":[99],"output":[101,152],"noise.":[102,154],"Thanks":[103],"gained":[111],"qualitative":[112],"understanding,":[113],"we":[114],"are":[115],"propose":[118],"chain":[120,141],"array":[121,142],"configuration":[122],"enhanced":[123],"by":[124],"injection":[126],"clean,":[129],"low-noise":[130],"signal.":[131],"In":[132],"paper,":[134],"it":[135],"shown":[137],"how":[138],"injected":[140],"can":[143],"prescribed":[146],"separation":[148],"while":[149],"significantly":[150],"reducing":[151]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
