{"id":"https://openalex.org/W2111628920","doi":"https://doi.org/10.1109/tcom.1980.1094773","title":"Multilevel Quantized DPLL Behavior with Phase- and Frequency-Step Plus Noise Input","display_name":"Multilevel Quantized DPLL Behavior with Phase- and Frequency-Step Plus Noise Input","publication_year":1980,"publication_date":"1980-08-01","ids":{"openalex":"https://openalex.org/W2111628920","doi":"https://doi.org/10.1109/tcom.1980.1094773","mag":"2111628920"},"language":"en","primary_location":{"id":"doi:10.1109/tcom.1980.1094773","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcom.1980.1094773","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/A5037118945","display_name":"Nunzio Aldo D'Andrea","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"N. D'Andrea","raw_affiliation_strings":["Facolta di Ingegneria, Centro Studi per i Metodi ed i Dispositivi di Radiotrasmissione (CSMDR) Consiglio Nazionale delle Ricerche(CNR), Pisa, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facolta di Ingegneria, Centro Studi per i Metodi ed i Dispositivi di Radiotrasmissione (CSMDR) Consiglio Nazionale delle Ricerche(CNR), Pisa, Italy","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100661140","display_name":"Federica Russo","orcid":"https://orcid.org/0000-0002-1318-5791"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"F. Russo","raw_affiliation_strings":["Facolta di Ingegneria, Centro Studi per i Metodi ed i Dispositivi di Radiotrasmissione (CSMDR) Consiglio Nazionale delle Ricerche(CNR), Pisa, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facolta di Ingegneria, Centro Studi per i Metodi ed i Dispositivi di Radiotrasmissione (CSMDR) Consiglio Nazionale delle Ricerche(CNR), Pisa, Italy","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.2005,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.87637738,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"28","issue":"8","first_page":"1373","last_page":"1382"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11429","display_name":"Semiconductor Lasers and Optical Devices","score":0.9426000118255615,"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/T11429","display_name":"Semiconductor Lasers and Optical Devices","score":0.9426000118255615,"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/dpll-algorithm","display_name":"DPLL algorithm","score":0.8797188997268677},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6338720321655273},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5425245761871338},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.5183849930763245},{"id":"https://openalex.org/keywords/phase-locked-loop","display_name":"Phase-locked loop","score":0.4857185482978821},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.4718988835811615},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.43916451930999756},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4389953911304474},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4108033776283264},{"id":"https://openalex.org/keywords/phase-noise","display_name":"Phase noise","score":0.3874352276325226},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32046401500701904},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2754402458667755},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2150099277496338},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.20547038316726685},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20510414242744446},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.14216339588165283}],"concepts":[{"id":"https://openalex.org/C143936061","wikidata":"https://www.wikidata.org/wiki/Q2030088","display_name":"DPLL algorithm","level":4,"score":0.8797188997268677},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6338720321655273},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5425245761871338},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.5183849930763245},{"id":"https://openalex.org/C12707504","wikidata":"https://www.wikidata.org/wiki/Q52637","display_name":"Phase-locked loop","level":3,"score":0.4857185482978821},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.4718988835811615},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.43916451930999756},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4389953911304474},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4108033776283264},{"id":"https://openalex.org/C89631360","wikidata":"https://www.wikidata.org/wiki/Q1428766","display_name":"Phase noise","level":2,"score":0.3874352276325226},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32046401500701904},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2754402458667755},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2150099277496338},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.20547038316726685},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20510414242744446},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14216339588165283},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcom.1980.1094773","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcom.1980.1094773","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W748982077","https://openalex.org/W1484510336","https://openalex.org/W1572713988","https://openalex.org/W1667165204","https://openalex.org/W1998450217","https://openalex.org/W2013100579","https://openalex.org/W2013348732","https://openalex.org/W2027780595","https://openalex.org/W2049535977","https://openalex.org/W2064348260","https://openalex.org/W2089339910","https://openalex.org/W2091696547","https://openalex.org/W2093137209","https://openalex.org/W2116842743","https://openalex.org/W2119231003","https://openalex.org/W2121047245","https://openalex.org/W2128978199","https://openalex.org/W2136507114","https://openalex.org/W2753933954","https://openalex.org/W4298703881","https://openalex.org/W6622128852","https://openalex.org/W6628945969"],"related_works":["https://openalex.org/W2380467267","https://openalex.org/W1980525453","https://openalex.org/W2325206724","https://openalex.org/W2059960378","https://openalex.org/W2043945969","https://openalex.org/W2103754166","https://openalex.org/W2058003010","https://openalex.org/W1994059163","https://openalex.org/W2110868325","https://openalex.org/W3113661469"],"abstract_inverted_index":{"A":[0],"first-order":[1],"nonuniform":[2],"multilevel":[3],"quantized":[4],"DPLL":[5],"is":[6,22],"analyzed":[7],"in":[8],"the":[9,38,41,47,51],"presence":[10],"of":[11,46,54],"a":[12,25,58],"phase-":[13],"and":[14,43,50],"frequency-step":[15],"signal":[16],"plus":[17],"Gaussian":[18],"noise.":[19],"The":[20],"system":[21],"modeled":[23],"as":[24],"homogeneous":[26],"finite":[27],"Markov":[28],"chain.":[29],"In":[30],"this":[31],"way,":[32],"closed-form":[33],"expressions":[34],"are":[35,66],"obtained":[36],"for":[37],"steady-state":[39],"probabilities,":[40],"mean":[42,52],"rms":[44],"values":[45],"phase":[48],"error,":[49],"number":[53],"samplings":[55],"to":[56,61],"slip":[57],"cycle":[59],"or":[60],"reach":[62],"acquisition.":[63],"Numerical":[64],"results":[65],"also":[67],"presented.":[68]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}