{"id":"https://openalex.org/W2163276523","doi":"https://doi.org/10.1109/ecctd.2007.4529768","title":"A numerical technique for time domain noise analysis of oscillators","display_name":"A numerical technique for time domain noise analysis of oscillators","publication_year":2007,"publication_date":"2007-08-01","ids":{"openalex":"https://openalex.org/W2163276523","doi":"https://doi.org/10.1109/ecctd.2007.4529768","mag":"2163276523"},"language":"en","primary_location":{"id":"doi:10.1109/ecctd.2007.4529768","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecctd.2007.4529768","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 18th European Conference on Circuit Theory and 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/A5085445165","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/A5084866297","display_name":"\u041c.\u041c. \u0416\u0430\u0440\u043e\u0432","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/A5071858689","display_name":"K.K. Gullapalli","orcid":"https://orcid.org/0000-0002-1967-4879"},"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":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017634640","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":[]}]}],"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":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1002","last_page":"1005"},"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":0.9998000264167786,"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":0.9998000264167786,"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/T10187","display_name":"Radio Frequency Integrated Circuit Design","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/T11444","display_name":"Electromagnetic Compatibility and Noise Suppression","score":0.9994000196456909,"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/offset","display_name":"Offset (computer science)","score":0.7108480930328369},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.6290004849433899},{"id":"https://openalex.org/keywords/time-domain","display_name":"Time domain","score":0.5767431259155273},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.5544219017028809},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5466062426567078},{"id":"https://openalex.org/keywords/transformation-matrix","display_name":"Transformation matrix","score":0.5295328497886658},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5086825489997864},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5084132552146912},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.47807979583740234},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4698060154914856},{"id":"https://openalex.org/keywords/phase-noise","display_name":"Phase noise","score":0.46607494354248047},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.394442617893219},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3318592309951782},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24606046080589294},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.22330492734909058},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16297757625579834},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1276240050792694}],"concepts":[{"id":"https://openalex.org/C175291020","wikidata":"https://www.wikidata.org/wiki/Q1156822","display_name":"Offset (computer science)","level":2,"score":0.7108480930328369},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.6290004849433899},{"id":"https://openalex.org/C103824480","wikidata":"https://www.wikidata.org/wiki/Q185889","display_name":"Time domain","level":2,"score":0.5767431259155273},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.5544219017028809},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5466062426567078},{"id":"https://openalex.org/C165443888","wikidata":"https://www.wikidata.org/wiki/Q1482183","display_name":"Transformation matrix","level":3,"score":0.5295328497886658},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5086825489997864},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5084132552146912},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.47807979583740234},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4698060154914856},{"id":"https://openalex.org/C89631360","wikidata":"https://www.wikidata.org/wiki/Q1428766","display_name":"Phase noise","level":2,"score":0.46607494354248047},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.394442617893219},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3318592309951782},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24606046080589294},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.22330492734909058},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16297757625579834},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1276240050792694},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"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/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ecctd.2007.4529768","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecctd.2007.4529768","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 18th European Conference on Circuit Theory and Design","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W625980519","https://openalex.org/W1933027148","https://openalex.org/W2071861249","https://openalex.org/W2082211203","https://openalex.org/W2104340505","https://openalex.org/W2110970403","https://openalex.org/W2111079473","https://openalex.org/W2112955232","https://openalex.org/W2113173839","https://openalex.org/W2115477597","https://openalex.org/W2143826743","https://openalex.org/W2144232723","https://openalex.org/W2566206439","https://openalex.org/W6677292718"],"related_works":["https://openalex.org/W4251428025","https://openalex.org/W4289867043","https://openalex.org/W2784467519","https://openalex.org/W2366459771","https://openalex.org/W1973736094","https://openalex.org/W2350707375","https://openalex.org/W2377881809","https://openalex.org/W2355516922","https://openalex.org/W1959408986","https://openalex.org/W2387658382"],"abstract_inverted_index":{"A":[0],"new":[1,61],"numerical":[2,46],"technique":[3,14],"for":[4],"time":[5,21],"domain":[6],"noise":[7],"analysis":[8],"of":[9,28,59],"oscillators":[10],"is":[11,15,42],"proposed.":[12],"This":[13,32],"based":[16],"on":[17],"the":[18,29,39,57,60],"linear":[19,30],"periodically":[20],"varying":[22],"model,":[23],"with":[24],"an":[25],"equivalent":[26],"transformation":[27,33],"system.":[31],"produces":[34],"a":[35],"nonsingular":[36],"matrix":[37],"when":[38],"frequency":[40],"offset":[41,50],"zero,":[43],"which":[44],"avoids":[45],"errors":[47],"at":[48],"small":[49],"frequencies.":[51],"Examples":[52],"are":[53],"given":[54],"to":[55],"demonstrate":[56],"efficiency":[58],"approach.":[62]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}