{"id":"https://openalex.org/W3150951043","doi":"https://doi.org/10.1109/iccad.2008.4681669","title":"Smoothed form of nonlinear phase macromodel for oscillators","display_name":"Smoothed form of nonlinear phase macromodel for oscillators","publication_year":2008,"publication_date":"2008-11-01","ids":{"openalex":"https://openalex.org/W3150951043","doi":"https://doi.org/10.1109/iccad.2008.4681669","mag":"3150951043"},"language":"en","primary_location":{"id":"doi:10.1109/iccad.2008.4681669","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccad.2008.4681669","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE/ACM International Conference on Computer-Aided Design","raw_type":"proceedings-article"},"type":"conference-paper","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/A5090162376","display_name":"M.M. Gourary","orcid":null},"institutions":[{"id":"https://openalex.org/I4210096404","display_name":"Institute for Design Problems in Microelectronics","ror":"https://ror.org/00t7t9a43","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210096404"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"M.M. Gourary","raw_affiliation_strings":["IPPM, Russian Academy of Science, Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IPPM, Russian Academy of Science, Moscow, Russia","institution_ids":["https://openalex.org/I4210096404"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079348082","display_name":"\u0421.\u0413. \u0420\u0443\u0441\u0430\u043a\u043e\u0432","orcid":"https://orcid.org/0000-0001-6107-2866"},"institutions":[{"id":"https://openalex.org/I4210096404","display_name":"Institute for Design Problems in Microelectronics","ror":"https://ror.org/00t7t9a43","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210096404"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"S.G. Rusakov","raw_affiliation_strings":["IPPM, Russian Academy of Science, Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IPPM, Russian Academy of Science, Moscow, Russia","institution_ids":["https://openalex.org/I4210096404"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075934580","display_name":"S.L. Ulyanov","orcid":"https://orcid.org/0000-0002-9182-1247"},"institutions":[{"id":"https://openalex.org/I4210096404","display_name":"Institute for Design Problems in Microelectronics","ror":"https://ror.org/00t7t9a43","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210096404"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"S.L. Ulyanov","raw_affiliation_strings":["IPPM, Russian Academy of Science, Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IPPM, Russian Academy of Science, Moscow, Russia","institution_ids":["https://openalex.org/I4210096404"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062186595","display_name":"M.M. Zharov","orcid":null},"institutions":[{"id":"https://openalex.org/I4210096404","display_name":"Institute for Design Problems in Microelectronics","ror":"https://ror.org/00t7t9a43","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210096404"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"M.M. Zharov","raw_affiliation_strings":["IPPM, Russian Academy of Science, Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IPPM, Russian Academy of Science, Moscow, Russia","institution_ids":["https://openalex.org/I4210096404"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006749091","display_name":"B.J. Mulvaney","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"B.J. Mulvaney","raw_affiliation_strings":["Freescale Semiconductor, Inc., Austin, TX, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Freescale Semiconductor, Inc., Austin, TX, USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038430619","display_name":"K.K. Gullapalli","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"K.K. Gullapalli","raw_affiliation_strings":["Freescale Semiconductor, Inc., Austin, TX, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Freescale Semiconductor, Inc., Austin, TX, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"807","last_page":"814"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10187","display_name":"Radio Frequency Integrated Circuit Design","score":0.9995999932289124,"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/T10187","display_name":"Radio Frequency Integrated Circuit Design","score":0.9995999932289124,"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/T11160","display_name":"Acoustic Wave Resonator Technologies","score":0.9987999796867371,"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/T11417","display_name":"Advancements in PLL and VCO Technologies","score":0.998199999332428,"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/floquet-theory","display_name":"Floquet theory","score":0.7310469150543213},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6811895370483398},{"id":"https://openalex.org/keywords/phase-noise","display_name":"Phase noise","score":0.6383646726608276},{"id":"https://openalex.org/keywords/transient","display_name":"Transient (computer programming)","score":0.6286935210227966},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5753501057624817},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.5220872759819031},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4772213101387024},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46050095558166504},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.39789819717407227},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.34110134840011597},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3209838271141052},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.22233453392982483},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10075116157531738},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.10064134001731873}],"concepts":[{"id":"https://openalex.org/C55649039","wikidata":"https://www.wikidata.org/wiki/Q902618","display_name":"Floquet theory","level":3,"score":0.7310469150543213},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6811895370483398},{"id":"https://openalex.org/C89631360","wikidata":"https://www.wikidata.org/wiki/Q1428766","display_name":"Phase noise","level":2,"score":0.6383646726608276},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.6286935210227966},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5753501057624817},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.5220872759819031},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4772213101387024},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46050095558166504},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.39789819717407227},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.34110134840011597},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3209838271141052},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.22233453392982483},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10075116157531738},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.10064134001731873},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iccad.2008.4681669","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccad.2008.4681669","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE/ACM International Conference on Computer-Aided Design","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":17,"referenced_works":["https://openalex.org/W2021023433","https://openalex.org/W2073293474","https://openalex.org/W2074677942","https://openalex.org/W2104340505","https://openalex.org/W2106687953","https://openalex.org/W2108923641","https://openalex.org/W2111079473","https://openalex.org/W2117874625","https://openalex.org/W2118226430","https://openalex.org/W2119440008","https://openalex.org/W2125582658","https://openalex.org/W2142015661","https://openalex.org/W2144072454","https://openalex.org/W2164353442","https://openalex.org/W2164809511","https://openalex.org/W2167168835","https://openalex.org/W6681325175"],"related_works":["https://openalex.org/W1488175704","https://openalex.org/W4286849939","https://openalex.org/W2990905476","https://openalex.org/W3217258686","https://openalex.org/W4383815106","https://openalex.org/W4386135338","https://openalex.org/W2911825792","https://openalex.org/W3158508387","https://openalex.org/W4366605282","https://openalex.org/W2131815370"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"an":[3,43],"improvement":[4],"to":[5,54,77],"the":[6,20,32,49,55,72],"well-known":[7],"oscillator":[8,45],"nonlinear":[9,21],"phase":[10,22,79],"macromodel":[11,23,51,74],"based":[12],"on":[13],"Floquet":[14],"theory.":[15],"A":[16],"smoothed":[17],"form":[18],"of":[19,64,82],"is":[24,52,68],"derived":[25],"by":[26],"eliminating":[27],"highly":[28],"oscillatory":[29],"terms":[30],"in":[31,35,39],"macromodel,":[33],"resulting":[34],"a":[36,61],"significant":[37],"speed-up":[38],"transient":[40],"simulation.":[41],"For":[42],"LC":[44],"under":[46,85],"sinusoidal":[47],"excitation":[48],"new":[50,73],"equivalent":[53],"Adler":[56],"model.":[57],"Numerical":[58],"experiments":[59],"confirm":[60],"considerable":[62],"decrease":[63],"computational":[65],"efforts.":[66],"It":[67],"further":[69],"shown":[70],"that":[71],"allows":[75],"one":[76],"perform":[78],"noise":[80],"analysis":[81],"locked":[83],"oscillators":[84],"arbitrary":[86],"periodic":[87],"injection.":[88]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}