{"id":"https://openalex.org/W2019339451","doi":"https://doi.org/10.1109/tcom.1985.1096401","title":"New Results on Mean Time-to-First-Slip for a First-Order Loop","display_name":"New Results on Mean Time-to-First-Slip for a First-Order Loop","publication_year":1985,"publication_date":"1985-01-01","ids":{"openalex":"https://openalex.org/W2019339451","doi":"https://doi.org/10.1109/tcom.1985.1096401","mag":"2019339451"},"language":"en","primary_location":{"id":"doi:10.1109/tcom.1985.1096401","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcom.1985.1096401","pdf_url":null,"source":{"id":"https://openalex.org/S196647941","display_name":"IEEE Transactions on Communications","issn_l":"0090-6778","issn":["0090-6778","1558-0857"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications","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/A5060331673","display_name":"C. M. Chie","orcid":null},"institutions":[{"id":"https://openalex.org/I111878022","display_name":"Linde (United States)","ror":"https://ror.org/05er00a75","country_code":"US","type":"company","lineage":["https://openalex.org/I111878022","https://openalex.org/I4210142819"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Chak Chie","raw_affiliation_strings":["Lincom Corporation, Los Angeles, CA, USA","LinCom Corp., Pasadena, CA"],"affiliations":[{"raw_affiliation_string":"Lincom Corporation, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I111878022"]},{"raw_affiliation_string":"LinCom Corp., Pasadena, CA","institution_ids":["https://openalex.org/I111878022"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5060331673"],"corresponding_institution_ids":["https://openalex.org/I111878022"],"apc_list":null,"apc_paid":null,"fwci":1.7183,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.82142857,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"33","issue":"9","first_page":"897","last_page":"903"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9674999713897705,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9674999713897705,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9557999968528748,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13126","display_name":"Scientific Research and Discoveries","score":0.9527000188827515,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/detector","display_name":"Detector","score":0.6225417852401733},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.5853294134140015},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.5405409336090088},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5293893218040466},{"id":"https://openalex.org/keywords/loop","display_name":"Loop (graph theory)","score":0.47646427154541016},{"id":"https://openalex.org/keywords/slip","display_name":"Slip (aerodynamics)","score":0.43996328115463257},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.43745291233062744},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.41606128215789795},{"id":"https://openalex.org/keywords/phase-detector","display_name":"Phase detector","score":0.4132433533668518},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3662903904914856},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.18180915713310242},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.16443884372711182},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.15312460064888},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.14065346121788025},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13855770230293274},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11436319351196289}],"concepts":[{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.6225417852401733},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.5853294134140015},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.5405409336090088},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5293893218040466},{"id":"https://openalex.org/C184670325","wikidata":"https://www.wikidata.org/wiki/Q512604","display_name":"Loop (graph theory)","level":2,"score":0.47646427154541016},{"id":"https://openalex.org/C195268267","wikidata":"https://www.wikidata.org/wiki/Q1928883","display_name":"Slip (aerodynamics)","level":2,"score":0.43996328115463257},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.43745291233062744},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.41606128215789795},{"id":"https://openalex.org/C110086884","wikidata":"https://www.wikidata.org/wiki/Q2085341","display_name":"Phase detector","level":3,"score":0.4132433533668518},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3662903904914856},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18180915713310242},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.16443884372711182},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.15312460064888},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.14065346121788025},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13855770230293274},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11436319351196289},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcom.1985.1096401","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcom.1985.1096401","pdf_url":null,"source":{"id":"https://openalex.org/S196647941","display_name":"IEEE Transactions on Communications","issn_l":"0090-6778","issn":["0090-6778","1558-0857"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1572713988","https://openalex.org/W1983617554","https://openalex.org/W1998450217","https://openalex.org/W2027780595","https://openalex.org/W2108901234","https://openalex.org/W2110819882","https://openalex.org/W2136871968","https://openalex.org/W2166800934","https://openalex.org/W2405183076","https://openalex.org/W6713538382"],"related_works":["https://openalex.org/W2117548279","https://openalex.org/W2070252991","https://openalex.org/W2807449856","https://openalex.org/W2941201715","https://openalex.org/W2025727968","https://openalex.org/W238211858","https://openalex.org/W2803761277","https://openalex.org/W4297742300","https://openalex.org/W2195798288","https://openalex.org/W4291557013"],"abstract_inverted_index":{"Approximate":[0],"results":[1],"are":[2,30,139],"derived":[3],"from":[4],"a":[5,13],"new":[6,78],"expression":[7,79],"for":[8,12,32],"the":[9,24,53,60,63,69,93,106,116,119,124,129],"mean":[10,54,107],"time-to-first-slip":[11],"first-order":[14],"loop":[15,33,75],"with":[16],"arbitrary":[17],"periodic":[18],"equivalent":[19,64,135],"phase":[20,65,95,136],"detector":[21,66,137],"characteristic":[22,67],"in":[23,103],"presence":[25],"of":[26,62,83,105],"frequency":[27,70],"detuning.":[28],"They":[29],"accurate":[31],"signal-to-noise":[34],"ratios":[35],"greater":[36],"than":[37,42],"3":[38],"dB":[39],"or":[40],"less":[41],"0":[43],"dB.":[44],"The":[45,77],"approximations":[46],"found":[47],"serve":[48],"to":[49,90,128,133],"provide":[50],"insight":[51],"into":[52],"first":[55,108],"slip":[56,109],"time":[57],"dependence":[58,73],"on":[59,74,115],"shape":[61],"and":[68,72,100,123],"detuning,":[71],"parameters.":[76],"itself":[80],"is":[81],"also":[82,140],"theoretical":[84],"interest,":[85],"since":[86],"it":[87],"allows":[88],"one":[89],"explicitly":[91],"express":[92],"stationary":[94],"error":[96],"probability":[97,101],"density":[98],"function":[99],"current":[102],"terms":[104],"time.":[110],"This":[111],"sheds":[112],"further":[113],"light":[114],"interconnections":[117],"between":[118],"conventional":[120],"modulo-2\u03c0":[121],"approach":[122,127],"renewal":[125],"theory":[126],"Fokker-Planck":[130],"method.":[131],"Extensions":[132],"nonperidic":[134],"characteristics":[138],"considered.":[141]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}