{"id":"https://openalex.org/W2044860406","doi":"https://doi.org/10.1109/vtcspring.2013.6692623","title":"Lower Bound on Averages of the Product of L Gaussian Q-Functions over Nakagami-m Fading","display_name":"Lower Bound on Averages of the Product of L Gaussian Q-Functions over Nakagami-m Fading","publication_year":2013,"publication_date":"2013-06-01","ids":{"openalex":"https://openalex.org/W2044860406","doi":"https://doi.org/10.1109/vtcspring.2013.6692623","mag":"2044860406"},"language":"en","primary_location":{"id":"doi:10.1109/vtcspring.2013.6692623","is_oa":false,"landing_page_url":"https://doi.org/10.1109/vtcspring.2013.6692623","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE 77th Vehicular Technology Conference (VTC Spring)","raw_type":"proceedings-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/A5101906340","display_name":"Hua Fu","orcid":"https://orcid.org/0000-0001-7863-2989"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Hua Fu","raw_affiliation_strings":["Department of Electrical and Computer Engineering, National University of Singapore, Singapore","[Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore, Singapore, Singapore]"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"[Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore, Singapore, Singapore]","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046640235","display_name":"Ming\u2010Wei Wu","orcid":"https://orcid.org/0000-0002-9321-1418"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Ming-Wei Wu","raw_affiliation_strings":["Department of Electrical and Computer Engineering, National University of Singapore, Singapore","[Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore, Singapore, Singapore]"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"[Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore, Singapore, Singapore]","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083124337","display_name":"Pooi\u2010Yuen Kam","orcid":"https://orcid.org/0000-0001-5543-5034"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Pooi-Yuen Kam","raw_affiliation_strings":["Department of Electrical and Computer Engineering, National University of Singapore, Singapore","[Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore, Singapore, Singapore]"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"[Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore, Singapore, Singapore]","institution_ids":["https://openalex.org/I165932596"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101906340"],"corresponding_institution_ids":["https://openalex.org/I165932596"],"apc_list":null,"apc_paid":null,"fwci":0.4729,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.69156952,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"15","issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","score":1.0,"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":1.0,"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":0.9995999932289124,"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9983000159263611,"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/nakagami-distribution","display_name":"Nakagami distribution","score":0.8246211409568787},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.7288023829460144},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.678204357624054},{"id":"https://openalex.org/keywords/fading","display_name":"Fading","score":0.598410964012146},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5826536417007446},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5541175007820129},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5290638208389282},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5033027529716492},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.48304611444473267},{"id":"https://openalex.org/keywords/q-function","display_name":"Q-function","score":0.4295191168785095},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.41942501068115234},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3767406940460205},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.37335824966430664},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.2987954020500183},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.28469154238700867},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.23094093799591064},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2199603021144867},{"id":"https://openalex.org/keywords/cumulative-distribution-function","display_name":"Cumulative distribution function","score":0.13867387175559998},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12439289689064026},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07581698894500732},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.07100504636764526}],"concepts":[{"id":"https://openalex.org/C115098869","wikidata":"https://www.wikidata.org/wiki/Q3258347","display_name":"Nakagami distribution","level":4,"score":0.8246211409568787},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.7288023829460144},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.678204357624054},{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.598410964012146},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5826536417007446},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5541175007820129},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5290638208389282},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5033027529716492},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.48304611444473267},{"id":"https://openalex.org/C55842286","wikidata":"https://www.wikidata.org/wiki/Q533036","display_name":"Q-function","level":4,"score":0.4295191168785095},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.41942501068115234},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3767406940460205},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.37335824966430664},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.2987954020500183},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28469154238700867},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.23094093799591064},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2199603021144867},{"id":"https://openalex.org/C103784038","wikidata":"https://www.wikidata.org/wiki/Q386228","display_name":"Cumulative distribution function","level":3,"score":0.13867387175559998},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12439289689064026},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07581698894500732},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.07100504636764526},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/vtcspring.2013.6692623","is_oa":false,"landing_page_url":"https://doi.org/10.1109/vtcspring.2013.6692623","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE 77th Vehicular Technology Conference (VTC Spring)","raw_type":"proceedings-article"},{"id":"pmh:oai:scholarbank.nus.edu.sg:10635/83911","is_oa":false,"landing_page_url":"http://scholarbank.nus.edu.sg/handle/10635/83911","pdf_url":null,"source":{"id":"https://openalex.org/S7407052290","display_name":"National University of Singapore","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus","raw_type":"Conference Paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1577906631","https://openalex.org/W1967080344","https://openalex.org/W2019029889","https://openalex.org/W2053166411","https://openalex.org/W2095817904","https://openalex.org/W2097898868","https://openalex.org/W2101015150","https://openalex.org/W2101791813","https://openalex.org/W2109191808","https://openalex.org/W2115419387","https://openalex.org/W2130575347","https://openalex.org/W2131741127","https://openalex.org/W2133177257","https://openalex.org/W2138194516","https://openalex.org/W2139794367","https://openalex.org/W2145417574","https://openalex.org/W2150573941","https://openalex.org/W2152670498","https://openalex.org/W2154562606","https://openalex.org/W2158113591","https://openalex.org/W2159188385","https://openalex.org/W2168204340","https://openalex.org/W2171221472","https://openalex.org/W2493309683","https://openalex.org/W2798333393","https://openalex.org/W2942706550","https://openalex.org/W3010745330"],"related_works":["https://openalex.org/W2121824117","https://openalex.org/W2128350152","https://openalex.org/W2088183555","https://openalex.org/W2118931651","https://openalex.org/W2164974156","https://openalex.org/W2115794616","https://openalex.org/W2049075887","https://openalex.org/W2103831785","https://openalex.org/W3000477998","https://openalex.org/W2374445688"],"abstract_inverted_index":{"This":[0,39],"paper":[1],"is":[2,40,57,72],"concerned":[3],"with":[4],"performance":[5],"analysis":[6],"(in":[7],"terms":[8,88],"of":[9,20,25,47,62,64,86,106,114],"bounds":[10,51,77],"and":[11,23,68,90],"approximations":[12],"to":[13,95,103],"the":[14,53,84,97,104,107,115,123],"average":[15],"symbol":[16],"error":[17],"probability":[18],"(ASEP))":[19],"a":[21,45,60,73],"product":[22],"power":[24],"Gaussian":[26,54,98],"Q-functions":[27],"over":[28,119],"Nakagami-m":[29],"fading.":[30],"The":[31],"results":[32,116],"are":[33,109,125],"valid":[34],"for":[35],"arbitrary":[36],"product/power":[37],"order.":[38],"done":[41],"by":[42],"first":[43],"deriving":[44],"family":[46],"new,":[48],"simple":[49],"lower":[50,76],"on":[52],"Q-function,":[55],"which":[56],"obtained":[58],"as":[59,83],"sum":[61],"products":[63],"an":[65],"exponential":[66],"function":[67],"cx":[69],"where":[70],"c":[71],"constant.":[74],"These":[75],"can":[78,92],"be":[79,93],"made":[80],"arbitrarily":[81],"tight":[82],"number":[85],"summation":[87],"increases,":[89],"thus,":[91],"used":[94],"approximate":[96],"Q-function":[99],"accurately.":[100],"Their":[101],"applications":[102],"evaluation":[105],"ASEP":[108],"then":[110],"presented.":[111],"Some":[112],"advantages":[113],"derived":[117],"here":[118],"those":[120],"given":[121],"in":[122],"literature":[124],"briefly":[126],"discussed.":[127]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
