{"id":"https://openalex.org/W3048584388","doi":"https://doi.org/10.1109/access.2020.3015344","title":"New Tight Bounds for the Gaussian Q-Function and Applications","display_name":"New Tight Bounds for the Gaussian Q-Function and Applications","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3048584388","doi":"https://doi.org/10.1109/access.2020.3015344","mag":"3048584388"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3015344","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09163100.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":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":"cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09163100.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075380587","display_name":"Fa\u00efssal El Bouanani","orcid":"https://orcid.org/0000-0001-8141-6793"},"institutions":[{"id":"https://openalex.org/I126477371","display_name":"Mohammed V University","ror":"https://ror.org/00r8w8f84","country_code":"MA","type":"education","lineage":["https://openalex.org/I126477371"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Faissal El Bouanani","raw_affiliation_string":"ENSIAS College of Engineering, Mohammed V University, Rabat, Morocco","raw_affiliation_strings":["ENSIAS College of Engineering, Mohammed V University, Rabat, Morocco"]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027360297","display_name":"Yassine Mouchtak","orcid":"https://orcid.org/0000-0001-8967-6039"},"institutions":[{"id":"https://openalex.org/I126477371","display_name":"Mohammed V University","ror":"https://ror.org/00r8w8f84","country_code":"MA","type":"education","lineage":["https://openalex.org/I126477371"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Yassine Mouchtak","raw_affiliation_string":"ENSIAS College of Engineering, Mohammed V University, Rabat, Morocco","raw_affiliation_strings":["ENSIAS College of Engineering, Mohammed V University, Rabat, Morocco"]},{"author_position":"last","author":{"id":"https://openalex.org/A5061744244","display_name":"George K. Karagiannidis","orcid":"https://orcid.org/0000-0001-8810-0345"},"institutions":[{"id":"https://openalex.org/I21370196","display_name":"Aristotle University of Thessaloniki","ror":"https://ror.org/02j61yw88","country_code":"GR","type":"education","lineage":["https://openalex.org/I21370196"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"George K. Karagiannidis","raw_affiliation_string":"Department of Electrical and Computer Engineering, Aristotle University of Thessaloniki, Thessaloniki, Greece","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Aristotle University of Thessaloniki, Thessaloniki, Greece"]}],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850,"provenance":"doaj"},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850,"provenance":"doaj"},"has_fulltext":false,"cited_by_count":14,"cited_by_percentile_year":{"min":92,"max":93},"biblio":{"volume":"8","issue":null,"first_page":"145037","last_page":"145055"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10125","display_name":"Multiple-Input Multiple-Output Orthogonal Frequency Division Multiplexing","score":0.9995,"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":"Multiple-Input Multiple-Output Orthogonal Frequency Division Multiplexing","score":0.9995,"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/T10964","display_name":"Physical Layer Security in Wireless Communications","score":0.998,"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/T10968","display_name":"Skew Distributions and Applications in Statistics","score":0.9973,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"keyword":"new tight bounds","score":0.5044},{"keyword":"gaussian","score":0.4839}],"concepts":[{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.8041369},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.59924996},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5688619},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5332372},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5012815},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49258143},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.48451132},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.44046432},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3766256},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33329466},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3209076},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.19396701},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18380582},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13011366},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3015344","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09163100.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":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":"cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":false,"landing_page_url":"https://doaj.org/article/8f201597ee804098a8c98d3387bea1f3","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3015344","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09163100.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":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":"cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"referenced_works_count":23,"referenced_works":["https://openalex.org/W595252221","https://openalex.org/W1523281138","https://openalex.org/W1973738368","https://openalex.org/W2000999466","https://openalex.org/W2002927159","https://openalex.org/W2019029889","https://openalex.org/W2074476216","https://openalex.org/W2074832308","https://openalex.org/W2096835347","https://openalex.org/W2097398761","https://openalex.org/W2101015150","https://openalex.org/W2108947505","https://openalex.org/W2109191808","https://openalex.org/W2158113591","https://openalex.org/W2168204340","https://openalex.org/W2354560848","https://openalex.org/W2521331594","https://openalex.org/W2717652590","https://openalex.org/W2778149930","https://openalex.org/W2917432077","https://openalex.org/W2922666816","https://openalex.org/W2962993622","https://openalex.org/W4241055678"],"related_works":["https://openalex.org/W2356834760","https://openalex.org/W1964600846","https://openalex.org/W2127563499","https://openalex.org/W2030191005","https://openalex.org/W2027568561","https://openalex.org/W2790025453","https://openalex.org/W2097996710","https://openalex.org/W1521521035","https://openalex.org/W1872459703","https://openalex.org/W2327053383"],"ngrams_url":"https://api.openalex.org/works/W3048584388/ngrams","abstract_inverted_index":{"The":[0],"Gaussian":[1],"Q-function":[2],"(GQF)":[3],"and":[4,43,46,110,146,159],"its":[5],"integer":[6],"powers":[7],"are":[8,41,48,143,155],"quite":[9],"versatile":[10],"in":[11,22,65,79],"various":[12,76],"fields":[13],"of":[14,82,97,120,164],"science.":[15],"In":[16,32],"most":[17],"applications,":[18],"it":[19],"is":[20],"involved":[21],"intractable":[23],"integrals":[24],"for":[25,38,69,75,134],"which":[26],"closed-form":[27,66,132],"expressions":[28,133],"cannot":[29],"be":[30,60,92],"evaluated.":[31],"this":[33],"paper,":[34],"six":[35],"new":[36],"bounds":[37,58,68,167],"the":[39,70,80,128,135,139,150,162,165,176],"GQF":[40],"presented":[42],"their":[44],"tightness":[45,163],"simplicity":[47],"discussed":[49],"compared":[50,168],"to":[51,63,169],"existing":[52],"ones.":[53],"As":[54],"an":[55],"application,":[56],"these":[57],"can":[59,91],"efficiently":[61],"used":[62],"evaluate":[64],"upper":[67],"average":[71],"symbol":[72],"error":[73],"rate":[74],"modulation":[77],"schemes,":[78],"presence":[81],"a":[83,95,98],"generalized":[84],"fading":[85,141,152],"channel":[86],"whose":[87],"probability":[88],"density":[89],"function":[90],"written":[93],"as":[94,117],"summation":[96],"particular":[99,118],"Bivariate":[100],"Fox's":[101],"H-functions.":[102],"\u03b1":[103],"-":[104,107],"\u03bc,":[105],"\u03ba":[106],"\u03bc":[108],"shadowed,":[109],"M\u00e1laga":[111],"distribution":[112],"models":[113,142],"have":[114],"been":[115],"considered":[116],"cases":[119],"such":[121],"distribution.":[122],"To":[123],"gain":[124],"more":[125],"insight":[126],"into":[127],"system":[129],"reliability,":[130],"asymptotic":[131],"system's":[136],"ASER":[137],"over":[138],"above":[140],"further":[144],"derived":[145],"interesting":[147],"discussions":[148],"on":[149],"key":[151],"parameters'":[153],"impact":[154],"made.":[156],"Numerical":[157],"results":[158],"simulations":[160],"reveal":[161],"proposed":[166],"previous":[170],"ones,":[171],"while":[172],"they":[173],"keep":[174],"almost":[175],"same":[177],"complexity.":[178]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W3048584388","counts_by_year":[{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":1}],"updated_date":"2024-03-01T08:09:42.977679","created_date":"2020-08-18"}