{"id":"https://openalex.org/W4404809596","doi":"https://doi.org/10.1109/tvt.2024.3509132","title":"On the Sum of Ratios of $\\alpha$-$\\mu$ Variates With Application to Composite Fading Channels","display_name":"On the Sum of Ratios of $\\alpha$-$\\mu$ Variates With Application to Composite Fading Channels","publication_year":2024,"publication_date":"2024-11-28","ids":{"openalex":"https://openalex.org/W4404809596","doi":"https://doi.org/10.1109/tvt.2024.3509132"},"language":"en","primary_location":{"id":"doi:10.1109/tvt.2024.3509132","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2024.3509132","pdf_url":null,"source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"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 Vehicular Technology","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/A5037427878","display_name":"Lenin Patricio Jim\u00e9nez Jim\u00e9nez","orcid":"https://orcid.org/0000-0002-0595-6509"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Lenin Patricio Jim\u00e9nez Jim\u00e9nez","raw_affiliation_strings":["Wireless Technology Laboratory, Department of Communications, School of Electrical and Computer Engineering, State University of Campinas, Campinas, SP, Brazil"],"affiliations":[{"raw_affiliation_string":"Wireless Technology Laboratory, Department of Communications, School of Electrical and Computer Engineering, State University of Campinas, Campinas, SP, Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087614736","display_name":"Fernando Dar\u00edo Almeida Garc\u00eda","orcid":"https://orcid.org/0000-0003-3747-1511"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Fernando Dar\u00edo Almeida Garc\u00eda","raw_affiliation_strings":["Wireless Technology Laboratory, Department of Communications, School of Electrical and Computer Engineering, State University of Campinas, Campinas, SP, Brazil"],"affiliations":[{"raw_affiliation_string":"Wireless Technology Laboratory, Department of Communications, School of Electrical and Computer Engineering, State University of Campinas, Campinas, SP, Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086409567","display_name":"Maria Cecilia Luna Alvarado","orcid":"https://orcid.org/0000-0001-9352-3668"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Maria Cecilia Luna Alvarado","raw_affiliation_strings":["Wireless Technology Laboratory, Department of Communications, School of Electrical and Computer Engineering, State University of Campinas, Campinas, SP, Brazil"],"affiliations":[{"raw_affiliation_string":"Wireless Technology Laboratory, Department of Communications, School of Electrical and Computer Engineering, State University of Campinas, Campinas, SP, Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040525043","display_name":"Jos\u00e9 C\u00e2ndido Silveira Santos Filho","orcid":"https://orcid.org/0000-0002-0106-1548"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Jos\u00e9 C\u00e2ndido S. Santos Filho","raw_affiliation_strings":["Wireless Technology Laboratory, Department of Communications, School of Electrical and Computer Engineering, State University of Campinas, Campinas, SP, Brazil"],"affiliations":[{"raw_affiliation_string":"Wireless Technology Laboratory, Department of Communications, School of Electrical and Computer Engineering, State University of Campinas, Campinas, SP, Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084825347","display_name":"Michel Daoud Yacoub","orcid":"https://orcid.org/0000-0002-5866-5879"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Michel Daoud Yacoub","raw_affiliation_strings":["Wireless Technology Laboratory, Department of Communications, School of Electrical and Computer Engineering, State University of Campinas, Campinas, SP, Brazil"],"affiliations":[{"raw_affiliation_string":"Wireless Technology Laboratory, Department of Communications, School of Electrical and Computer Engineering, State University of Campinas, Campinas, SP, Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068648984","display_name":"Gustavo Fraidenraich","orcid":"https://orcid.org/0000-0002-0517-1496"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Gustavo Fraidenraich","raw_affiliation_strings":["Wireless Technology Laboratory, Department of Communications, School of Electrical and Computer Engineering, State University of Campinas, Campinas, SP, Brazil"],"affiliations":[{"raw_affiliation_string":"Wireless Technology Laboratory, Department of Communications, School of Electrical and Computer Engineering, State University of Campinas, Campinas, SP, Brazil","institution_ids":["https://openalex.org/I181391015"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5037427878"],"corresponding_institution_ids":["https://openalex.org/I181391015"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19407338,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"74","issue":"4","first_page":"6638","last_page":"6643"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9749000072479248,"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":0.9749000072479248,"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":0.9078999757766724,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/fading","display_name":"Fading","score":0.7902861833572388},{"id":"https://openalex.org/keywords/alpha","display_name":"Alpha (finance)","score":0.5387279987335205},{"id":"https://openalex.org/keywords/composite-number","display_name":"Composite number","score":0.49256521463394165},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.36757153272628784},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.3620728850364685},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.35297638177871704},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3459073007106781},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32624295353889465},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.32108837366104126},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3031921982765198},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.2746826410293579},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.24984636902809143}],"concepts":[{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.7902861833572388},{"id":"https://openalex.org/C64943373","wikidata":"https://www.wikidata.org/wiki/Q2651003","display_name":"Alpha (finance)","level":4,"score":0.5387279987335205},{"id":"https://openalex.org/C104779481","wikidata":"https://www.wikidata.org/wiki/Q50707","display_name":"Composite number","level":2,"score":0.49256521463394165},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.36757153272628784},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.3620728850364685},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.35297638177871704},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3459073007106781},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32624295353889465},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.32108837366104126},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3031921982765198},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2746826410293579},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.24984636902809143},{"id":"https://openalex.org/C49453240","wikidata":"https://www.wikidata.org/wiki/Q1592163","display_name":"Construct validity","level":3,"score":0.0},{"id":"https://openalex.org/C171606756","wikidata":"https://www.wikidata.org/wiki/Q506132","display_name":"Psychometrics","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tvt.2024.3509132","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2024.3509132","pdf_url":null,"source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"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 Vehicular Technology","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":17,"referenced_works":["https://openalex.org/W2024267771","https://openalex.org/W2043882421","https://openalex.org/W2097398761","https://openalex.org/W2601909147","https://openalex.org/W2774020526","https://openalex.org/W2803710370","https://openalex.org/W2808771579","https://openalex.org/W2942773272","https://openalex.org/W3006564460","https://openalex.org/W3013990707","https://openalex.org/W3027661471","https://openalex.org/W3137786661","https://openalex.org/W4226479829","https://openalex.org/W4281569581","https://openalex.org/W4295886116","https://openalex.org/W4313291187","https://openalex.org/W4400187925"],"related_works":["https://openalex.org/W2327053383","https://openalex.org/W2356834760","https://openalex.org/W1964600846","https://openalex.org/W2127563499","https://openalex.org/W2120897947","https://openalex.org/W2030191005","https://openalex.org/W1865172210","https://openalex.org/W2027568561","https://openalex.org/W2790025453","https://openalex.org/W1521521035"],"abstract_inverted_index":{"Sums":[0],"of":[1,12,33,36,38,58,65,82,84,101,118,170,203,205,211],"random":[2],"variables":[3],"play":[4],"a":[5],"fundamental":[6],"role":[7],"in":[8,56,115],"assessing":[9],"the":[10,24,29,34,63,66,71,79,99,116,126,166,171,174,178,183,189,196,201,206],"performance":[11,100,168,185],"wireless":[13],"communication":[14],"systems.":[15],"This":[16],"work":[17],"introduces":[18],"novel":[19],"and":[20,28,104,121,160,177,200],"exact":[21],"formulations":[22,53],"for":[23,78,165],"probability":[25,176],"density":[26],"function":[27,32],"cumulative":[30],"distribution":[31,198],"sum":[35,80],"ratios":[37,83],"<inline-formula":[39,44,85,135,151],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[40,45,48,75,86,89,136,139,152,155],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[41,46,49,87,90,137,140,153,156],"notation=\"LaTeX\">$L$</tex-math></inline-formula>":[42],"independent":[43],"notation=\"LaTeX\">$\\alpha$</tex-math></inline-formula>-<inline-formula":[47,88,138,154],"notation=\"LaTeX\">$\\mu$</tex-math></inline-formula>":[50,91,141,157],"variates.":[51,92],"These":[52],"are":[54,70,163],"presented":[55],"terms":[57],"tractable":[59],"fast-converging":[60],"series.":[61],"To":[62],"best":[64],"author's":[67],"knowledge,":[68],"these":[69,95],"first":[72],"reported":[73],"<italic":[74],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">exact</i>":[76],"solutions":[77],"statistics":[81],"Based":[93],"upon":[94],"expressions,":[96],"we":[97,128],"analyze":[98],"equal-gain":[102],"combining":[103,106,207],"maximal-ratio":[105],"diversity":[107,191],"receivers":[108],"operating":[109],"over":[110],"composite":[111],"fading":[112,123,132,145],"channels,":[113],"i.e.,":[114],"presence":[117],"both":[119],"multipath":[120,197],"shadowing":[122,144],"effects.":[124],"For":[125],"analysis,":[127],"consider":[129],"that":[130,188],"multiphath":[131],"follows":[133],"an":[134,149],"distribution,":[142],"whereas":[143],"is":[146,215],"governed":[147],"by":[148],"inverse":[150],"distribution.":[158],"Exact":[159],"asymptotic":[161],"expressions":[162],"obtained":[164],"key":[167],"metrics":[169,186],"system,":[172],"specifically":[173],"outage":[175],"average-symbol":[179],"error":[180],"rate.":[181],"Interestingly,":[182],"derived":[184],"demonstrated":[187],"system's":[190],"gain":[192],"solely":[193],"depends":[194],"on":[195],"parameters":[199],"number":[202],"branches":[204],"receivers.":[208],"The":[209],"validity":[210],"all":[212],"our":[213],"findings":[214],"confirmed":[216],"via":[217],"Monte":[218],"Carlo":[219],"simulations.":[220]},"counts_by_year":[],"updated_date":"2025-12-27T23:08:20.325037","created_date":"2025-10-10T00:00:00"}
