{"id":"https://openalex.org/W2010653173","doi":"https://doi.org/10.1109/tcsi.2013.2268196","title":"Improved Closed Form Large Injection Perturbation Analytical Model on the Output Spectrum of Unlocked Driven Oscillator\u2014Part I: Phase Perturbation","display_name":"Improved Closed Form Large Injection Perturbation Analytical Model on the Output Spectrum of Unlocked Driven Oscillator\u2014Part I: Phase Perturbation","publication_year":2013,"publication_date":"2013-07-02","ids":{"openalex":"https://openalex.org/W2010653173","doi":"https://doi.org/10.1109/tcsi.2013.2268196","mag":"2010653173"},"language":"en","primary_location":{"id":"doi:10.1109/tcsi.2013.2268196","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2013.2268196","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019323002","display_name":"Ikbal Ali","orcid":"https://orcid.org/0000-0001-9630-8007"},"institutions":[{"id":"https://openalex.org/I180765649","display_name":"Aliah University","ror":"https://ror.org/03rfycd69","country_code":"IN","type":"education","lineage":["https://openalex.org/I180765649"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Ikbal Ali","raw_affiliation_strings":["Department of Electronics and Communication Engineering, Aliah University, Kolkata, India","Dept. of Electron. & Commun. Eng., Aliah Univ., Kolkata, India"],"affiliations":[{"raw_affiliation_string":"Department of Electronics and Communication Engineering, Aliah University, Kolkata, India","institution_ids":["https://openalex.org/I180765649"]},{"raw_affiliation_string":"Dept. of Electron. & Commun. Eng., Aliah Univ., Kolkata, India","institution_ids":["https://openalex.org/I180765649"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049603491","display_name":"Baidyanath Biswas","orcid":"https://orcid.org/0000-0002-0609-3530"},"institutions":[{"id":"https://openalex.org/I76587968","display_name":"Bose (United States)","ror":"https://ror.org/0427k1a73","country_code":"US","type":"company","lineage":["https://openalex.org/I76587968"]},{"id":"https://openalex.org/I152754861","display_name":"Bose Institute","ror":"https://ror.org/01a5mqy88","country_code":"IN","type":"facility","lineage":["https://openalex.org/I152754861"]}],"countries":["IN","US"],"is_corresponding":false,"raw_author_name":"B. N. Biswas","raw_affiliation_strings":["Sir J C Bose School of Engineering, SKFG Institutions Mankundu, Hooghly, India","Sir J. C. Bose Sch. of Eng., SKFG Instn. Mankundu, Hooghly, India"],"affiliations":[{"raw_affiliation_string":"Sir J C Bose School of Engineering, SKFG Institutions Mankundu, Hooghly, India","institution_ids":["https://openalex.org/I76587968"]},{"raw_affiliation_string":"Sir J. C. Bose Sch. of Eng., SKFG Instn. Mankundu, Hooghly, India","institution_ids":["https://openalex.org/I152754861"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103647625","display_name":"Sudhabindu Ray","orcid":null},"institutions":[{"id":"https://openalex.org/I170979836","display_name":"Jadavpur University","ror":"https://ror.org/02af4h012","country_code":"IN","type":"education","lineage":["https://openalex.org/I170979836"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sudhabindu Ray","raw_affiliation_strings":["Department of Electronics and Telecommunication Engineering, Jadavpur University, Kolkata, India","Dept. of Electron. & Telecommun. Eng., Jadavpur Univ., Kolkata, , India"],"affiliations":[{"raw_affiliation_string":"Department of Electronics and Telecommunication Engineering, Jadavpur University, Kolkata, India","institution_ids":["https://openalex.org/I170979836"]},{"raw_affiliation_string":"Dept. of Electron. & Telecommun. Eng., Jadavpur Univ., Kolkata, , India","institution_ids":["https://openalex.org/I170979836"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5019323002"],"corresponding_institution_ids":["https://openalex.org/I180765649"],"apc_list":null,"apc_paid":null,"fwci":0.4729,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.68158949,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"61","issue":"1","first_page":"106","last_page":"119"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10187","display_name":"Radio Frequency Integrated Circuit Design","score":0.9998999834060669,"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":0.9998999834060669,"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/T11417","display_name":"Advancements in PLL and VCO Technologies","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":0.9983999729156494,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.6538568139076233},{"id":"https://openalex.org/keywords/injection-locking","display_name":"Injection locking","score":0.5722708702087402},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5206688642501831},{"id":"https://openalex.org/keywords/frequency-spectrum","display_name":"Frequency spectrum","score":0.4715331196784973},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4468643069267273},{"id":"https://openalex.org/keywords/spectrum","display_name":"Spectrum (functional analysis)","score":0.43513721227645874},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.41539114713668823},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.41104254126548767},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.329781174659729},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23265200853347778},{"id":"https://openalex.org/keywords/spectral-density","display_name":"Spectral density","score":0.21889284253120422},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.12870469689369202},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.11552149057388306},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06723865866661072}],"concepts":[{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.6538568139076233},{"id":"https://openalex.org/C101476363","wikidata":"https://www.wikidata.org/wiki/Q3798800","display_name":"Injection locking","level":3,"score":0.5722708702087402},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5206688642501831},{"id":"https://openalex.org/C122381330","wikidata":"https://www.wikidata.org/wiki/Q1331626","display_name":"Frequency spectrum","level":3,"score":0.4715331196784973},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4468643069267273},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.43513721227645874},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.41539114713668823},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.41104254126548767},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.329781174659729},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23265200853347778},{"id":"https://openalex.org/C168110828","wikidata":"https://www.wikidata.org/wiki/Q1331626","display_name":"Spectral density","level":2,"score":0.21889284253120422},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.12870469689369202},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11552149057388306},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06723865866661072},{"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/C520434653","wikidata":"https://www.wikidata.org/wiki/Q38867","display_name":"Laser","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsi.2013.2268196","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2013.2268196","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1967685903","https://openalex.org/W1991510929","https://openalex.org/W1993064979","https://openalex.org/W2010792690","https://openalex.org/W2016167819","https://openalex.org/W2021065448","https://openalex.org/W2026601787","https://openalex.org/W2048057206","https://openalex.org/W2066778149","https://openalex.org/W2069493112","https://openalex.org/W2093455320","https://openalex.org/W2096615643","https://openalex.org/W2097072141","https://openalex.org/W2103745509","https://openalex.org/W2108469355","https://openalex.org/W2117874625","https://openalex.org/W2125911467","https://openalex.org/W2126777739","https://openalex.org/W2127933572","https://openalex.org/W2132112678","https://openalex.org/W2134730059","https://openalex.org/W2137800538","https://openalex.org/W2140305168","https://openalex.org/W2148135124","https://openalex.org/W2169208698","https://openalex.org/W2983479669"],"related_works":["https://openalex.org/W2119556180","https://openalex.org/W2389102677","https://openalex.org/W2381817933","https://openalex.org/W2367436654","https://openalex.org/W2375035276","https://openalex.org/W2168258490","https://openalex.org/W2161497134","https://openalex.org/W2131276158","https://openalex.org/W2154168811","https://openalex.org/W4300183508"],"abstract_inverted_index":{"This":[0],"paper":[1],"provides":[2],"an":[3],"original":[4],"closed-form":[5],"analytical":[6,53],"model":[7,54],"of":[8,29,32,50,59],"frequency-pulling":[9],"phenomenon":[10],"in":[11,22,55,61],"unlocked-driven":[12],"nonlinear":[13],"oscillators.":[14],"The":[15,46],"formulas":[16],"are":[17],"more":[18],"general":[19],"and":[20,27,48,73],"accurate":[21],"estimating":[23],"the":[24,33,51],"spectral":[25],"components":[26],"degree":[28],"phase":[30],"perturbation":[31],"unlocked":[34],"driven":[35],"oscillator":[36],"under":[37],"weak":[38],"as":[39,41],"well":[40],"strong":[42,62],"injection":[43,57,63],"signal":[44,64],"level.":[45],"accuracy":[47],"superiority":[49],"proposed":[52],"predicting":[56],"locking":[58],"oscillators":[60],"level":[65],"over":[66],"prior":[67],"literature":[68],"have":[69],"been":[70],"established":[71],"analytically":[72],"experimentally.":[74]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}