{"id":"https://openalex.org/W3128096572","doi":"https://doi.org/10.1109/lcomm.2021.3051521","title":"Beaulieu-Xie Phase-Envelope Joint and Bivariate Distributions","display_name":"Beaulieu-Xie Phase-Envelope Joint and Bivariate Distributions","publication_year":2021,"publication_date":"2021-02-09","ids":{"openalex":"https://openalex.org/W3128096572","doi":"https://doi.org/10.1109/lcomm.2021.3051521","mag":"3128096572"},"language":"en","primary_location":{"id":"doi:10.1109/lcomm.2021.3051521","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcomm.2021.3051521","pdf_url":null,"source":{"id":"https://openalex.org/S147316732","display_name":"IEEE Communications Letters","issn_l":"1089-7798","issn":["1089-7798","1558-2558","2373-7891"],"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 Communications Letters","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/A5015159347","display_name":"Hugerles S. Silva","orcid":"https://orcid.org/0000-0003-0165-5853"},"institutions":[{"id":"https://openalex.org/I41455075","display_name":"Universidade Federal de Campina Grande","ror":"https://ror.org/00eftnx64","country_code":"BR","type":"education","lineage":["https://openalex.org/I41455075"]},{"id":"https://openalex.org/I4210120471","display_name":"Instituto de Telecomunica\u00e7\u00f5es","ror":"https://ror.org/02ht4fk33","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I4210120471"]},{"id":"https://openalex.org/I60858718","display_name":"University of Aveiro","ror":"https://ror.org/00nt41z93","country_code":"PT","type":"education","lineage":["https://openalex.org/I60858718"]}],"countries":["BR","PT"],"is_corresponding":true,"raw_author_name":"Hugerles S. Silva","raw_affiliation_strings":["Federal University of Campina Grande, Campina Grande, Brazil","Instituto de Telecomunica\u00e7\u014des, Aveiro, Portugal","Universidade de Aveiro, Campus Universit\u00e1rio de Santiago, Aveiro, Portugal"],"raw_orcid":"https://orcid.org/0000-0003-0165-5853","affiliations":[{"raw_affiliation_string":"Federal University of Campina Grande, Campina Grande, Brazil","institution_ids":["https://openalex.org/I41455075"]},{"raw_affiliation_string":"Instituto de Telecomunica\u00e7\u014des, Aveiro, Portugal","institution_ids":["https://openalex.org/I4210120471"]},{"raw_affiliation_string":"Universidade de Aveiro, Campus Universit\u00e1rio de Santiago, Aveiro, Portugal","institution_ids":["https://openalex.org/I60858718"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067345387","display_name":"Danilo B. T. Almeida","orcid":"https://orcid.org/0000-0003-1699-8883"},"institutions":[{"id":"https://openalex.org/I41455075","display_name":"Universidade Federal de Campina Grande","ror":"https://ror.org/00eftnx64","country_code":"BR","type":"education","lineage":["https://openalex.org/I41455075"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Danilo B. T. Almeida","raw_affiliation_strings":["Federal University of Campina Grande, Campina Grande, Brazil"],"raw_orcid":"https://orcid.org/0000-0003-1699-8883","affiliations":[{"raw_affiliation_string":"Federal University of Campina Grande, Campina Grande, Brazil","institution_ids":["https://openalex.org/I41455075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078015780","display_name":"Wamberto J. L. Queiroz","orcid":"https://orcid.org/0000-0002-5065-2221"},"institutions":[{"id":"https://openalex.org/I41455075","display_name":"Universidade Federal de Campina Grande","ror":"https://ror.org/00eftnx64","country_code":"BR","type":"education","lineage":["https://openalex.org/I41455075"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Wamberto J. L. Queiroz","raw_affiliation_strings":["Federal University of Campina Grande, Campina Grande, Brazil"],"raw_orcid":"https://orcid.org/0000-0002-5065-2221","affiliations":[{"raw_affiliation_string":"Federal University of Campina Grande, Campina Grande, Brazil","institution_ids":["https://openalex.org/I41455075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081252481","display_name":"Higo T. P. Silva","orcid":"https://orcid.org/0000-0002-3680-9659"},"institutions":[{"id":"https://openalex.org/I41455075","display_name":"Universidade Federal de Campina Grande","ror":"https://ror.org/00eftnx64","country_code":"BR","type":"education","lineage":["https://openalex.org/I41455075"]},{"id":"https://openalex.org/I4210120471","display_name":"Instituto de Telecomunica\u00e7\u00f5es","ror":"https://ror.org/02ht4fk33","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I4210120471"]},{"id":"https://openalex.org/I60858718","display_name":"University of Aveiro","ror":"https://ror.org/00nt41z93","country_code":"PT","type":"education","lineage":["https://openalex.org/I60858718"]}],"countries":["BR","PT"],"is_corresponding":false,"raw_author_name":"Higo T. P. Silva","raw_affiliation_strings":["Federal University of Campina Grande, Campina Grande, Brazil","Instituto de Telecomunica\u00e7\u014des, Aveiro, Portugal","Universidade de Aveiro, Campus Universit\u00e1rio de Santiago, Aveiro, Portugal"],"raw_orcid":"https://orcid.org/0000-0002-3680-9659","affiliations":[{"raw_affiliation_string":"Federal University of Campina Grande, Campina Grande, Brazil","institution_ids":["https://openalex.org/I41455075"]},{"raw_affiliation_string":"Instituto de Telecomunica\u00e7\u014des, Aveiro, Portugal","institution_ids":["https://openalex.org/I4210120471"]},{"raw_affiliation_string":"Universidade de Aveiro, Campus Universit\u00e1rio de Santiago, Aveiro, Portugal","institution_ids":["https://openalex.org/I60858718"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087676170","display_name":"Arnaldo S. R. Oliveira","orcid":"https://orcid.org/0000-0002-8759-3456"},"institutions":[{"id":"https://openalex.org/I4210120471","display_name":"Instituto de Telecomunica\u00e7\u00f5es","ror":"https://ror.org/02ht4fk33","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I4210120471"]},{"id":"https://openalex.org/I60858718","display_name":"University of Aveiro","ror":"https://ror.org/00nt41z93","country_code":"PT","type":"education","lineage":["https://openalex.org/I60858718"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Arnaldo S. R. Oliveira","raw_affiliation_strings":["Instituto de Telecomunica\u00e7\u014des, Aveiro, Portugal","Universidade de Aveiro, Campus Universit\u00e1rio de Santiago, Aveiro, Portugal"],"raw_orcid":"https://orcid.org/0000-0002-8759-3456","affiliations":[{"raw_affiliation_string":"Instituto de Telecomunica\u00e7\u014des, Aveiro, Portugal","institution_ids":["https://openalex.org/I4210120471"]},{"raw_affiliation_string":"Universidade de Aveiro, Campus Universit\u00e1rio de Santiago, Aveiro, Portugal","institution_ids":["https://openalex.org/I60858718"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082295021","display_name":"Francisco Madeiro","orcid":"https://orcid.org/0000-0002-6123-0390"},"institutions":[{"id":"https://openalex.org/I71437568","display_name":"Universidade de Pernambuco","ror":"https://ror.org/00gtcbp88","country_code":"BR","type":"education","lineage":["https://openalex.org/I71437568"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Francisco Madeiro","raw_affiliation_strings":["Polytechnic School of Pernambuco, University of Pernambuco, Recife, Brazil"],"raw_orcid":"https://orcid.org/0000-0002-6123-0390","affiliations":[{"raw_affiliation_string":"Polytechnic School of Pernambuco, University of Pernambuco, Recife, Brazil","institution_ids":["https://openalex.org/I71437568"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5015159347"],"corresponding_institution_ids":["https://openalex.org/I41455075","https://openalex.org/I4210120471","https://openalex.org/I60858718"],"apc_list":null,"apc_paid":null,"fwci":0.61,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.66048507,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"25","issue":"5","first_page":"1453","last_page":"1457"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","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/T10125","display_name":"Advanced Wireless Communication Techniques","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/T10575","display_name":"Wireless Communication Networks Research","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T12146","display_name":"Power Line Communications and Noise","score":0.9994999766349792,"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/joint-probability-distribution","display_name":"Joint probability distribution","score":0.8377922773361206},{"id":"https://openalex.org/keywords/bivariate-analysis","display_name":"Bivariate analysis","score":0.8057066798210144},{"id":"https://openalex.org/keywords/envelope","display_name":"Envelope (radar)","score":0.7204362154006958},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.6724163293838501},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6199886202812195},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.5207548141479492},{"id":"https://openalex.org/keywords/joint","display_name":"Joint (building)","score":0.4622352719306946},{"id":"https://openalex.org/keywords/bivariate-data","display_name":"Bivariate data","score":0.4175516366958618},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3831717073917389},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32238805294036865},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1709882915019989},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16805365681648254},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.14687737822532654}],"concepts":[{"id":"https://openalex.org/C18653775","wikidata":"https://www.wikidata.org/wiki/Q1333358","display_name":"Joint probability distribution","level":2,"score":0.8377922773361206},{"id":"https://openalex.org/C64341305","wikidata":"https://www.wikidata.org/wiki/Q4919225","display_name":"Bivariate analysis","level":2,"score":0.8057066798210144},{"id":"https://openalex.org/C65155139","wikidata":"https://www.wikidata.org/wiki/Q5380912","display_name":"Envelope (radar)","level":3,"score":0.7204362154006958},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.6724163293838501},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6199886202812195},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5207548141479492},{"id":"https://openalex.org/C18555067","wikidata":"https://www.wikidata.org/wiki/Q8375051","display_name":"Joint (building)","level":2,"score":0.4622352719306946},{"id":"https://openalex.org/C148264743","wikidata":"https://www.wikidata.org/wiki/Q4919224","display_name":"Bivariate data","level":3,"score":0.4175516366958618},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3831717073917389},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32238805294036865},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1709882915019989},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16805365681648254},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.14687737822532654},{"id":"https://openalex.org/C170154142","wikidata":"https://www.wikidata.org/wiki/Q150737","display_name":"Architectural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcomm.2021.3051521","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcomm.2021.3051521","pdf_url":null,"source":{"id":"https://openalex.org/S147316732","display_name":"IEEE Communications Letters","issn_l":"1089-7798","issn":["1089-7798","1558-2558","2373-7891"],"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 Communications Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7354297853","display_name":null,"funder_award_id":"Project 5G with Nr. 024539 (POCI-01-0247-FEDER-024","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"}],"funders":[{"id":"https://openalex.org/F4320321091","display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","ror":"https://ror.org/00x0ma614"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"},{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1973692140","https://openalex.org/W1976288759","https://openalex.org/W1976678860","https://openalex.org/W1987910435","https://openalex.org/W2085950659","https://openalex.org/W2146041324","https://openalex.org/W2156618758","https://openalex.org/W2330278483","https://openalex.org/W2598568590","https://openalex.org/W2976532373","https://openalex.org/W2980411273","https://openalex.org/W3024562595","https://openalex.org/W3037941808","https://openalex.org/W3048761832","https://openalex.org/W3088767128"],"related_works":["https://openalex.org/W2117322591","https://openalex.org/W2769554013","https://openalex.org/W4247082354","https://openalex.org/W3003594144","https://openalex.org/W1978117141","https://openalex.org/W2152457604","https://openalex.org/W2981669125","https://openalex.org/W2383655479","https://openalex.org/W4235062529","https://openalex.org/W2073622612"],"abstract_inverted_index":{"A":[0],"new,":[1],"exact":[2],"and":[3,46,55,61],"closed-form":[4],"expression":[5],"is":[6],"presented":[7],"for":[8,22,68],"the":[9,23,26,33,35,39,47,52,59,74],"Beaulieu-Xie":[10],"(BX)":[11],"phase-envelope":[12],"joint":[13,49],"distribution.":[14],"In":[15],"addition,":[16],"bivariate":[17,27,36],"statistics":[18],"are":[19,66],"also":[20],"determined":[21],"BX":[24],"distribution:":[25],"probability":[28],"density":[29],"function":[30],"(PDF)":[31],"of":[32,38,51],"envelope,":[34,53],"PDF":[37],"instantaneous":[40],"signal":[41],"to":[42],"noise":[43],"ratio":[44],"(SNR)":[45],"generalized":[48],"moment":[50],"with":[54],"without":[56],"correlation":[57],"between":[58],"in-phase":[60],"quadrature":[62],"components.":[63],"Theoretical":[64],"curves":[65],"plotted":[67],"different":[69],"parameter":[70],"values":[71],"that":[72],"characterize":[73],"fading.":[75]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}