{"id":"https://openalex.org/W2803710370","doi":"https://doi.org/10.1109/lwc.2018.2836453","title":"On the Sum of Fisher\u2013Snedecor <inline-formula> <tex-math notation=\"LaTeX\">$\\mathcal{F}$ </tex-math> </inline-formula> Variates and Its Application to Maximal-Ratio Combining","display_name":"On the Sum of Fisher\u2013Snedecor <inline-formula> <tex-math notation=\"LaTeX\">$\\mathcal{F}$ </tex-math> </inline-formula> Variates and Its Application to Maximal-Ratio Combining","publication_year":2018,"publication_date":"2018-05-15","ids":{"openalex":"https://openalex.org/W2803710370","doi":"https://doi.org/10.1109/lwc.2018.2836453","mag":"2803710370"},"language":"en","primary_location":{"id":"doi:10.1109/lwc.2018.2836453","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lwc.2018.2836453","pdf_url":null,"source":{"id":"https://openalex.org/S2500830676","display_name":"IEEE Wireless Communications Letters","issn_l":"2162-2337","issn":["2162-2337","2162-2345"],"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 Wireless 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/A5045148834","display_name":"Osamah S. Badarneh","orcid":"https://orcid.org/0000-0002-2540-3143"},"institutions":[{"id":"https://openalex.org/I72264486","display_name":"University of Tabuk","ror":"https://ror.org/04yej8x59","country_code":"SA","type":"education","lineage":["https://openalex.org/I72264486"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Osamah S. Badarneh","raw_affiliation_strings":["Electrical Engineering Department, University of Tabuk, Tabuk, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, University of Tabuk, Tabuk, Saudi Arabia","institution_ids":["https://openalex.org/I72264486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021191255","display_name":"Daniel Benevides da Costa","orcid":"https://orcid.org/0000-0002-5439-7475"},"institutions":[{"id":"https://openalex.org/I243754102","display_name":"Universidade Federal do Cear\u00e1","ror":"https://ror.org/03srtnf24","country_code":"BR","type":"education","lineage":["https://openalex.org/I243754102"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Daniel B. da Costa","raw_affiliation_strings":["Department of Computer Engineering, Federal University of Cear\u00e1, Sobral, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, Federal University of Cear\u00e1, Sobral, Brazil","institution_ids":["https://openalex.org/I243754102"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061981044","display_name":"Paschalis C. Sofotasios","orcid":"https://orcid.org/0000-0001-8389-0966"},"institutions":[{"id":"https://openalex.org/I176601375","display_name":"Khalifa University of Science and Technology","ror":"https://ror.org/05hffr360","country_code":"AE","type":"education","lineage":["https://openalex.org/I176601375"]}],"countries":["AE"],"is_corresponding":false,"raw_author_name":"Paschalis C. Sofotasios","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Khalifa University of Science and Technology, Abu Dhabi, UAE"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Khalifa University of Science and Technology, Abu Dhabi, UAE","institution_ids":["https://openalex.org/I176601375"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004034156","display_name":"Sami Muhaidat","orcid":"https://orcid.org/0000-0003-4649-9399"},"institutions":[{"id":"https://openalex.org/I176601375","display_name":"Khalifa University of Science and Technology","ror":"https://ror.org/05hffr360","country_code":"AE","type":"education","lineage":["https://openalex.org/I176601375"]}],"countries":["AE"],"is_corresponding":false,"raw_author_name":"Sami Muhaidat","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Khalifa University of Science and Technology, Abu Dhabi, UAE"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Khalifa University of Science and Technology, Abu Dhabi, UAE","institution_ids":["https://openalex.org/I176601375"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090482024","display_name":"Simon L. Cotton","orcid":"https://orcid.org/0000-0003-2620-6501"},"institutions":[{"id":"https://openalex.org/I126231945","display_name":"Queen's University Belfast","ror":"https://ror.org/00hswnk62","country_code":"GB","type":"education","lineage":["https://openalex.org/I126231945"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Simon L. Cotton","raw_affiliation_strings":["Centre for Wireless Innovation, ECIT Institute, Queen\u2019s University Belfast, Belfast, U.K"],"affiliations":[{"raw_affiliation_string":"Centre for Wireless Innovation, ECIT Institute, Queen\u2019s University Belfast, Belfast, U.K","institution_ids":["https://openalex.org/I126231945"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5045148834"],"corresponding_institution_ids":["https://openalex.org/I72264486"],"apc_list":null,"apc_paid":null,"fwci":6.0006,"has_fulltext":false,"cited_by_count":76,"citation_normalized_percentile":{"value":0.96768774,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":100},"biblio":{"volume":"7","issue":"6","first_page":"966","last_page":"969"},"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":0.9984999895095825,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9965999722480774,"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/mathematics","display_name":"Mathematics","score":0.7641746997833252},{"id":"https://openalex.org/keywords/moment-generating-function","display_name":"Moment-generating function","score":0.6744863390922546},{"id":"https://openalex.org/keywords/cumulative-distribution-function","display_name":"Cumulative distribution function","score":0.5848717093467712},{"id":"https://openalex.org/keywords/independent-and-identically-distributed-random-variables","display_name":"Independent and identically distributed random variables","score":0.5263746380805969},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.47480952739715576},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.4670352637767792},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.46698492765426636},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.45640623569488525},{"id":"https://openalex.org/keywords/maximal-ratio-combining","display_name":"Maximal-ratio combining","score":0.4440121650695801},{"id":"https://openalex.org/keywords/fading","display_name":"Fading","score":0.4283597469329834},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.41055434942245483},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3883260190486908},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3824191391468048},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3762056231498718},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33215999603271484},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.1277434229850769},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0958925187587738},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07556343078613281}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7641746997833252},{"id":"https://openalex.org/C101796028","wikidata":"https://www.wikidata.org/wiki/Q535587","display_name":"Moment-generating function","level":3,"score":0.6744863390922546},{"id":"https://openalex.org/C103784038","wikidata":"https://www.wikidata.org/wiki/Q386228","display_name":"Cumulative distribution function","level":3,"score":0.5848717093467712},{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.5263746380805969},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.47480952739715576},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.4670352637767792},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.46698492765426636},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.45640623569488525},{"id":"https://openalex.org/C86024645","wikidata":"https://www.wikidata.org/wiki/Q6795632","display_name":"Maximal-ratio combining","level":4,"score":0.4440121650695801},{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.4283597469329834},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.41055434942245483},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3883260190486908},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3824191391468048},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3762056231498718},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33215999603271484},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1277434229850769},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0958925187587738},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07556343078613281},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/lwc.2018.2836453","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lwc.2018.2836453","pdf_url":null,"source":{"id":"https://openalex.org/S2500830676","display_name":"IEEE Wireless Communications Letters","issn_l":"2162-2337","issn":["2162-2337","2162-2345"],"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 Wireless Communications Letters","raw_type":"journal-article"},{"id":"pmh:oai:pure.qub.ac.uk/portal:publications/bb1c6026-fc32-4c19-aec2-f79325e5a928","is_oa":false,"landing_page_url":"http://www.scopus.com/inward/record.url?scp=85047016535&partnerID=8YFLogxK","pdf_url":null,"source":{"id":"https://openalex.org/S4306402319","display_name":"Research Portal (Queen's University Belfast)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I126231945","host_organization_name":"Queen's University Belfast","host_organization_lineage":["https://openalex.org/I126231945"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Badarneh, O S, Da Costa, D B, Sofotasios, P C, Muhaidat, S & Cotton, S L 2018, 'On the sum of fisher-snedecor F variates and its application to maximal-ratio combining', IEEE Wireless Communications Letters, vol. 7, no. 6, 8359199, pp. 966-969. https://doi.org/10.1109/LWC.2018.2836453","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4427664884","display_name":null,"funder_award_id":"EP/L026074/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W659391916","https://openalex.org/W1533556785","https://openalex.org/W1555197957","https://openalex.org/W1972485395","https://openalex.org/W2096290492","https://openalex.org/W2125445053","https://openalex.org/W2339891994","https://openalex.org/W2581603425","https://openalex.org/W2601909147","https://openalex.org/W4241055678","https://openalex.org/W4300033818"],"related_works":["https://openalex.org/W2168519368","https://openalex.org/W2068480774","https://openalex.org/W3033233802","https://openalex.org/W1489065153","https://openalex.org/W2163979113","https://openalex.org/W2052261350","https://openalex.org/W1980528650","https://openalex.org/W3102213005","https://openalex.org/W192702211","https://openalex.org/W3167005578"],"abstract_inverted_index":{"In":[0,90],"this":[1],"letter,":[2],"we":[3,70,92],"investigate":[4,71],"the":[5,25,30,37,47,61,72,80,98,118,121,125],"sum":[6,48],"of":[7,29,46,49,63,74,86,103,120],"independent":[8],"but":[9],"not":[10],"identically":[11],"distributed":[12],"(i.n.i.d.)":[13],"Fisher-Snedecor":[14,51],"F":[15,52],"variates.":[16],"First,":[17],"a":[18],"novel":[19],"closed-form":[20,95],"expression":[21],"is":[22],"derived":[23],"for":[24,97],"moment":[26],"generating":[27],"function":[28,41,45],"instantaneous":[31],"signal-to-noise":[32],"ratio.":[33],"Based":[34],"on":[35,79,124],"this,":[36],"corresponding":[38],"probability":[39,82],"density":[40],"and":[42,76,83],"cumulative":[43],"distribution":[44],"i.n.i.d.":[50],"variates":[53],"are":[54,57],"derived,":[55],"which":[56,113],"subsequently":[58],"employed":[59],"in":[60],"analysis":[62,112],"multiple":[64],"branch":[65],"maximal-ratio":[66],"combining":[67],"(MRC).":[68],"Specifically,":[69],"impact":[73],"multipath":[75],"shadowed":[77],"fading":[78],"outage":[81,84],"capacity":[85],"MRC":[87],"based":[88],"receivers.":[89],"addition,":[91],"derive":[93],"exact":[94],"expressions":[96],"average":[99],"bit":[100],"error":[101],"rate":[102],"coherent":[104],"binary":[105],"modulation":[106],"schemes":[107],"followed":[108],"by":[109],"an":[110],"asymptotic":[111],"provides":[114],"further":[115],"insights":[116],"into":[117],"effect":[119],"system":[122],"parameters":[123],"overall":[126],"performance.":[127]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":14},{"year":2020,"cited_by_count":15},{"year":2019,"cited_by_count":14},{"year":2018,"cited_by_count":3}],"updated_date":"2026-03-31T07:56:22.981413","created_date":"2025-10-10T00:00:00"}