{"id":"https://openalex.org/W2067089354","doi":"https://doi.org/10.1109/acc.2015.7170912","title":"A short survey on nonlinear models of the classic Costas loop: Rigorous derivation and limitations of the classic analysis","display_name":"A short survey on nonlinear models of the classic Costas loop: Rigorous derivation and limitations of the classic analysis","publication_year":2015,"publication_date":"2015-07-01","ids":{"openalex":"https://openalex.org/W2067089354","doi":"https://doi.org/10.1109/acc.2015.7170912","mag":"2067089354"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2015.7170912","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2015.7170912","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 American Control Conference (ACC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1505.04288","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"R. E. Best","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"R. E. Best","raw_affiliation_strings":["Best Engineering company, Switzerland"],"affiliations":[{"raw_affiliation_string":"Best Engineering company, Switzerland","institution_ids":[]}]},{"author_position":"middle","author":{"id":null,"display_name":"N. V. Kuznetsov","orcid":null},"institutions":[{"id":"https://openalex.org/I94722563","display_name":"University of Jyv\u00e4skyl\u00e4","ror":"https://ror.org/05n3dz165","country_code":"FI","type":"education","lineage":["https://openalex.org/I94722563"]},{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["FI","RU"],"is_corresponding":false,"raw_author_name":"N. V. Kuznetsov","raw_affiliation_strings":["Faculty of Mathematics and Mechanics, Saint-Petersburg State University, Jyvaskyla, FI"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Mechanics, Saint-Petersburg State University, Jyvaskyla, FI","institution_ids":["https://openalex.org/I94722563","https://openalex.org/I172901346"]}]},{"author_position":"middle","author":{"id":null,"display_name":"O. A. Kuznetsova","orcid":null},"institutions":[{"id":"https://openalex.org/I201646274","display_name":"Saint Peter's University","ror":"https://ror.org/00cv1e222","country_code":"US","type":"education","lineage":["https://openalex.org/I201646274"]},{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["RU","US"],"is_corresponding":false,"raw_author_name":"O. A. Kuznetsova","raw_affiliation_strings":["Faculty of Mathematics and Mechanics, Saint-Petersburg State University, Sankt-Peterburg, Sankt-Peterburg, RU"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Mechanics, Saint-Petersburg State University, Sankt-Peterburg, Sankt-Peterburg, RU","institution_ids":["https://openalex.org/I201646274","https://openalex.org/I172901346"]}]},{"author_position":"middle","author":{"id":null,"display_name":"G. A. Leonov","orcid":null},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]},{"id":"https://openalex.org/I201646274","display_name":"Saint Peter's University","ror":"https://ror.org/00cv1e222","country_code":"US","type":"education","lineage":["https://openalex.org/I201646274"]}],"countries":["RU","US"],"is_corresponding":false,"raw_author_name":"G. A. Leonov","raw_affiliation_strings":["Faculty of Mathematics and Mechanics, Saint-Petersburg State University, Sankt-Peterburg, Sankt-Peterburg, RU"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Mechanics, Saint-Petersburg State University, Sankt-Peterburg, Sankt-Peterburg, RU","institution_ids":["https://openalex.org/I201646274","https://openalex.org/I172901346"]}]},{"author_position":"middle","author":{"id":null,"display_name":"M. V. Yuldashev","orcid":null},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"M. V. Yuldashev","raw_affiliation_strings":["Faculty of Mathematics and Mechanics, Saint-Petersburg State University, Russia"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Mechanics, Saint-Petersburg State University, Russia","institution_ids":["https://openalex.org/I172901346"]}]},{"author_position":"last","author":{"id":null,"display_name":"R. V. Yuldashev","orcid":null},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"R. V. Yuldashev","raw_affiliation_strings":["Faculty of Mathematics and Mechanics, Saint-Petersburg State University, Russia"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Mechanics, Saint-Petersburg State University, Russia","institution_ids":["https://openalex.org/I172901346"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.1999,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.88856552,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1296","last_page":"1302"},"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":0.9969000220298767,"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/T12146","display_name":"Power Line Communications and Noise","score":0.9969000220298767,"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/nonlinear-system","display_name":"Nonlinear system","score":0.7301999926567078},{"id":"https://openalex.org/keywords/mathematical-model","display_name":"Mathematical model","score":0.5097000002861023},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.36959999799728394},{"id":"https://openalex.org/keywords/loop","display_name":"Loop (graph theory)","score":0.3659000098705292},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.349700003862381},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.33149999380111694}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7301999926567078},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5288000106811523},{"id":"https://openalex.org/C76969082","wikidata":"https://www.wikidata.org/wiki/Q486902","display_name":"Mathematical model","level":2,"score":0.5097000002861023},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4309000074863434},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.36959999799728394},{"id":"https://openalex.org/C184670325","wikidata":"https://www.wikidata.org/wiki/Q512604","display_name":"Loop (graph theory)","level":2,"score":0.3659000098705292},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.349700003862381},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.33149999380111694},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3296999931335449},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.3138999938964844},{"id":"https://openalex.org/C32946077","wikidata":"https://www.wikidata.org/wiki/Q618079","display_name":"Network analysis","level":2,"score":0.30079999566078186},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.30000001192092896},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2985999882221222},{"id":"https://openalex.org/C116672817","wikidata":"https://www.wikidata.org/wiki/Q1454986","display_name":"Physical system","level":2,"score":0.2904999852180481},{"id":"https://openalex.org/C2986605239","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Numerical models","level":3,"score":0.2687000036239624},{"id":"https://openalex.org/C67186912","wikidata":"https://www.wikidata.org/wiki/Q367664","display_name":"Data modeling","level":2,"score":0.25099998712539673}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/acc.2015.7170912","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2015.7170912","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 American Control Conference (ACC)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1505.04288","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1505.04288","pdf_url":"https://arxiv.org/pdf/1505.04288","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1505.04288","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1505.04288","pdf_url":"https://arxiv.org/pdf/1505.04288","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W637874180","https://openalex.org/W641233361","https://openalex.org/W1548118198","https://openalex.org/W1890716699","https://openalex.org/W1963794340","https://openalex.org/W1988007449","https://openalex.org/W1998630995","https://openalex.org/W2021542038","https://openalex.org/W2033955780","https://openalex.org/W2066098780","https://openalex.org/W2083750059","https://openalex.org/W2093044056","https://openalex.org/W2115486616","https://openalex.org/W2158069201","https://openalex.org/W2162680749","https://openalex.org/W2493967096","https://openalex.org/W4230832673","https://openalex.org/W4232925152","https://openalex.org/W4248407215","https://openalex.org/W4293244302","https://openalex.org/W4299414416","https://openalex.org/W4313343578","https://openalex.org/W6653471669"],"related_works":[],"abstract_inverted_index":{"Rigorous":[0],"nonlinear":[1,43],"analysis":[2,65,86],"of":[3,7,45,63,74,81,85,99],"the":[4,46,72,79,97,100],"physical":[5,103],"model":[6],"Costas":[8,48,101],"loop-a":[9],"classic":[10,64],"phase-locked":[11],"loop":[12,102],"(PLL)":[13],"based":[14],"circuit":[15],"for":[16,24,51],"carrier":[17],"recovery,":[18],"is":[19,56,69],"a":[20,39],"challenging":[21],"task.":[22],"Thus":[23],"its":[25],"analysis,":[26,55],"simplified":[27,75],"mathematical":[28,76],"models":[29,44],"and":[30,53,61,78,89],"numerical":[31],"simulation":[32,88],"are":[33,66],"widely":[34],"used.":[35],"In":[36],"this":[37],"work":[38],"short":[40],"survey":[41],"on":[42],"BPSK":[47],"loop,":[49],"used":[50],"pre-design":[52],"post-design":[54],"presented.":[57],"Their":[58],"rigorous":[59,83],"derivation":[60],"limitations":[62],"discussed.":[67],"It":[68],"shown":[70],"that":[71],"use":[73],"models,":[77],"application":[80],"non":[82],"methods":[84],"(e.g.,":[87],"linearization)":[90],"may":[91],"lead":[92],"to":[93],"wrong":[94],"conclusions":[95],"concerning":[96],"performance":[98],"model.":[104]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4}],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2016-06-24T00:00:00"}
