{"id":"https://openalex.org/W2119783911","doi":"https://doi.org/10.1186/1687-6180-2014-121","title":"Closed-form approximations of the peak-to-average power ratio distribution for multi-carrier modulation and their applications","display_name":"Closed-form approximations of the peak-to-average power ratio distribution for multi-carrier modulation and their applications","publication_year":2014,"publication_date":"2014-07-30","ids":{"openalex":"https://openalex.org/W2119783911","doi":"https://doi.org/10.1186/1687-6180-2014-121","mag":"2119783911"},"language":"en","primary_location":{"id":"doi:10.1186/1687-6180-2014-121","is_oa":true,"landing_page_url":"https://doi.org/10.1186/1687-6180-2014-121","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1186/1687-6180-2014-121","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1687-6172","issn":["1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1186/1687-6180-2014-121","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026039370","display_name":"Marwa Chafii","orcid":"https://orcid.org/0000-0003-0314-6585"},"institutions":[{"id":"https://openalex.org/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]},{"id":"https://openalex.org/I4210100151","display_name":"Institut d'\u00c9lectronique et des Technologies du num\u00e9Rique","ror":"https://ror.org/013q33h79","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I28221208","https://openalex.org/I4210095849","https://openalex.org/I4210100151","https://openalex.org/I56067802","https://openalex.org/I97188460"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Marwa Chafii","raw_affiliation_strings":["SUPELEC/IETR, Cesson-Svign Cedex 35576, France","Supelec IETR, Cesson-S\u00e9vign\u00e9 cedex, France"],"affiliations":[{"raw_affiliation_string":"SUPELEC/IETR, Cesson-Svign Cedex 35576, France","institution_ids":[]},{"raw_affiliation_string":"Supelec IETR, Cesson-S\u00e9vign\u00e9 cedex, France","institution_ids":["https://openalex.org/I102475099","https://openalex.org/I4210100151"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113695978","display_name":"Jacques Palicot","orcid":null},"institutions":[{"id":"https://openalex.org/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]},{"id":"https://openalex.org/I4210100151","display_name":"Institut d'\u00c9lectronique et des Technologies du num\u00e9Rique","ror":"https://ror.org/013q33h79","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I28221208","https://openalex.org/I4210095849","https://openalex.org/I4210100151","https://openalex.org/I56067802","https://openalex.org/I97188460"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jacques Palicot","raw_affiliation_strings":["SUPELEC/IETR, Cesson-Svign Cedex 35576, France","Supelec IETR, Cesson-S\u00e9vign\u00e9 cedex, France"],"affiliations":[{"raw_affiliation_string":"SUPELEC/IETR, Cesson-Svign Cedex 35576, France","institution_ids":[]},{"raw_affiliation_string":"Supelec IETR, Cesson-S\u00e9vign\u00e9 cedex, France","institution_ids":["https://openalex.org/I102475099","https://openalex.org/I4210100151"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110806421","display_name":"R\u00e9mi Gribonval","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"R\u00e9mi Gribonval","raw_affiliation_strings":["Inria, Bretagne Atlantique, Campus de Beaulieu, Rennes Cedex 35042, France","INRIA \u2013 Bretagne Atlantique, Campus de Beaulieu, Rennes Cedex, France"],"affiliations":[{"raw_affiliation_string":"Inria, Bretagne Atlantique, Campus de Beaulieu, Rennes Cedex 35042, France","institution_ids":[]},{"raw_affiliation_string":"INRIA \u2013 Bretagne Atlantique, Campus de Beaulieu, Rennes Cedex, France","institution_ids":["https://openalex.org/I1326498283"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5026039370"],"corresponding_institution_ids":["https://openalex.org/I102475099","https://openalex.org/I4210100151"],"apc_list":{"value":1140,"currency":"GBP","value_usd":1398},"apc_paid":{"value":1140,"currency":"GBP","value_usd":1398},"fwci":1.0641,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.81262579,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"2014","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11873","display_name":"PAPR reduction in OFDM","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/T11873","display_name":"PAPR reduction in OFDM","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/T10232","display_name":"Optical Network Technologies","score":0.930400013923645,"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/T10851","display_name":"Optical Wireless Communication Technologies","score":0.9244999885559082,"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/modulation","display_name":"Modulation (music)","score":0.7452493906021118},{"id":"https://openalex.org/keywords/waveform","display_name":"Waveform","score":0.7298181056976318},{"id":"https://openalex.org/keywords/orthogonal-frequency-division-multiplexing","display_name":"Orthogonal frequency-division multiplexing","score":0.7095496654510498},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.5969851016998291},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5571157336235046},{"id":"https://openalex.org/keywords/cumulative-distribution-function","display_name":"Cumulative distribution function","score":0.5484451055526733},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.5260743498802185},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5207769274711609},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.5107674598693848},{"id":"https://openalex.org/keywords/expression","display_name":"Expression (computer science)","score":0.5006568431854248},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.42816102504730225},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.36585068702697754},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3574150800704956},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34870296716690063},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29738563299179077},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2970260977745056},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.2608729600906372},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.20055663585662842},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1570385992527008},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15188181400299072},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10102540254592896},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.09466195106506348}],"concepts":[{"id":"https://openalex.org/C123079801","wikidata":"https://www.wikidata.org/wiki/Q750240","display_name":"Modulation (music)","level":2,"score":0.7452493906021118},{"id":"https://openalex.org/C197424946","wikidata":"https://www.wikidata.org/wiki/Q1165717","display_name":"Waveform","level":3,"score":0.7298181056976318},{"id":"https://openalex.org/C40409654","wikidata":"https://www.wikidata.org/wiki/Q375889","display_name":"Orthogonal frequency-division multiplexing","level":3,"score":0.7095496654510498},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.5969851016998291},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5571157336235046},{"id":"https://openalex.org/C103784038","wikidata":"https://www.wikidata.org/wiki/Q386228","display_name":"Cumulative distribution function","level":3,"score":0.5484451055526733},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.5260743498802185},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5207769274711609},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.5107674598693848},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.5006568431854248},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.42816102504730225},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.36585068702697754},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3574150800704956},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34870296716690063},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29738563299179077},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2970260977745056},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.2608729600906372},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.20055663585662842},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1570385992527008},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15188181400299072},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10102540254592896},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.09466195106506348},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1186/1687-6180-2014-121","is_oa":true,"landing_page_url":"https://doi.org/10.1186/1687-6180-2014-121","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1186/1687-6180-2014-121","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1687-6172","issn":["1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01056153v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01056153","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"EURASIP Journal on Advances in Signal Processing, 2014, 2014 (1), pp.121. ⟨10.1186/1687-6180-2014-121⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"doi:10.1186/1687-6180-2014-121","is_oa":true,"landing_page_url":"https://doi.org/10.1186/1687-6180-2014-121","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1186/1687-6180-2014-121","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1687-6172","issn":["1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.4699999988079071,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G3014825233","display_name":null,"funder_award_id":"ANR-10-LABX-07-01","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G3343749973","display_name":null,"funder_award_id":"-10-LABX-07-01","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G5549440890","display_name":null,"funder_award_id":"ANR-10-LAB","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G7141889694","display_name":null,"funder_award_id":"ANR-10-LABX-07-0","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G7240651115","display_name":null,"funder_award_id":"ANR-10","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320327215","display_name":"R\u00e9gion Bretagne","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2119783911.pdf","grobid_xml":"https://content.openalex.org/works/W2119783911.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W8862985","https://openalex.org/W126575046","https://openalex.org/W141785777","https://openalex.org/W1551517259","https://openalex.org/W1965192395","https://openalex.org/W1997609556","https://openalex.org/W2061998039","https://openalex.org/W2069791605","https://openalex.org/W2095922553","https://openalex.org/W2101308095","https://openalex.org/W2105176601","https://openalex.org/W2106841106","https://openalex.org/W2109217807","https://openalex.org/W2128896612","https://openalex.org/W2139399084","https://openalex.org/W2139940560","https://openalex.org/W2142946738","https://openalex.org/W2147389341","https://openalex.org/W2220356555","https://openalex.org/W2275303958","https://openalex.org/W2338751820","https://openalex.org/W2394514069","https://openalex.org/W2764947692","https://openalex.org/W2953981234","https://openalex.org/W2993874078","https://openalex.org/W4210357744"],"related_works":["https://openalex.org/W1974895211","https://openalex.org/W2792339401","https://openalex.org/W2176409448","https://openalex.org/W2129841057","https://openalex.org/W2530747331","https://openalex.org/W3040712279","https://openalex.org/W2125564215","https://openalex.org/W2364769705","https://openalex.org/W3097525855","https://openalex.org/W2056136368"],"abstract_inverted_index":{"The":[0],"theoretical":[1],"analysis":[2,34],"of":[3,49,65,84,96],"the":[4,20,25,37,60,82,85,94,97,116],"peak-to-average":[5],"power":[6],"ratio":[7],"(PAPR)":[8],"distribution":[9,62,87,99],"for":[10,40,59,68,88],"an":[11,121],"orthogonal":[12],"frequency":[13],"division":[14],"multiplexing":[15],"(OFDM)":[16],"system,":[17],"depends":[18],"on":[19,46],"particular":[21,90],"waveform":[22],"considered":[23],"in":[24,126],"modulation":[26,43,50],"system.":[27],"In":[28,107],"this":[29,33,127],"paper,":[30],"we":[31,53],"generalize":[32],"by":[35],"considering":[36],"generalized":[38],"waveforms":[39],"multi-carrier":[41],"(GWMC)":[42],"system":[44],"based":[45],"any":[47,89],"family":[48],"functions,":[51],"and":[52,71,92,104],"derive":[54],"a":[55,111],"general":[56],"approximate":[57],"expression":[58],"cumulative":[61],"function":[63],"(CDF)":[64],"its":[66],"PAPR,":[67],"both":[69],"finite":[70],"infinite":[72],"integration":[73],"time.":[74],"These":[75],"equations":[76],"allow":[77],"us":[78],"to":[79,109,114],"directly":[80],"find":[81],"expressions":[83],"PAPR":[86,98,117],"functions":[91],"characterize":[93],"behaviour":[95],"associated":[100],"with":[101],"different":[102],"transmission":[103],"observation":[105],"scenarios.":[106],"addition":[108],"that,":[110],"new":[112],"approach":[113],"formulating":[115],"reduction":[118],"problem":[119],"as":[120],"optimization":[122],"problem,":[123],"is":[124],"presented":[125],"study.":[128]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}