{"id":"https://openalex.org/W2170273514","doi":"https://doi.org/10.1109/wsa.2008.4475564","title":"Multiuser OFDMA optimization: Algorithms and duality gap analysis","display_name":"Multiuser OFDMA optimization: Algorithms and duality gap analysis","publication_year":2008,"publication_date":"2008-02-01","ids":{"openalex":"https://openalex.org/W2170273514","doi":"https://doi.org/10.1109/wsa.2008.4475564","mag":"2170273514"},"language":"en","primary_location":{"id":"doi:10.1109/wsa.2008.4475564","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wsa.2008.4475564","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 International ITG Workshop on Smart Antennas","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/A5044286247","display_name":"Gerhard Wunder","orcid":"https://orcid.org/0009-0001-0850-8816"},"institutions":[{"id":"https://openalex.org/I2800274787","display_name":"Fraunhofer Institute for Telecommunications, Heinrich Hertz Institute","ror":"https://ror.org/02tbr6331","country_code":"DE","type":"facility","lineage":["https://openalex.org/I2800274787","https://openalex.org/I4923324"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Gerhard Wunder","raw_affiliation_strings":["Fraunhofer German-Sino Mobile Communications Laboratory, Heinrich-Hertz-Institut, Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Fraunhofer German-Sino Mobile Communications Laboratory, Heinrich-Hertz-Institut, Berlin, Germany","institution_ids":["https://openalex.org/I2800274787"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072516470","display_name":"Thomas Michel","orcid":"https://orcid.org/0000-0002-2420-9875"},"institutions":[{"id":"https://openalex.org/I2800274787","display_name":"Fraunhofer Institute for Telecommunications, Heinrich Hertz Institute","ror":"https://ror.org/02tbr6331","country_code":"DE","type":"facility","lineage":["https://openalex.org/I2800274787","https://openalex.org/I4923324"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Thomas Michel","raw_affiliation_strings":["Fraunhofer German-Sino Mobile Communications Laboratory, Heinrich-Hertz-Institut, Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Fraunhofer German-Sino Mobile Communications Laboratory, Heinrich-Hertz-Institut, Berlin, Germany","institution_ids":["https://openalex.org/I2800274787"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5044286247"],"corresponding_institution_ids":["https://openalex.org/I2800274787"],"apc_list":null,"apc_paid":null,"fwci":0.9988,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.7958515,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"233","last_page":"240"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11409","display_name":"Advanced Wireless Network Optimization","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/T11409","display_name":"Advanced Wireless Network Optimization","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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9991999864578247,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9987000226974487,"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/subcarrier","display_name":"Subcarrier","score":0.8242229223251343},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.6528239250183105},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6356543302536011},{"id":"https://openalex.org/keywords/duality-gap","display_name":"Duality gap","score":0.6003888249397278},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5980165004730225},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5479289889335632},{"id":"https://openalex.org/keywords/resource-allocation","display_name":"Resource allocation","score":0.5027318000793457},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.489300936460495},{"id":"https://openalex.org/keywords/strong-duality","display_name":"Strong duality","score":0.48915866017341614},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4570190906524658},{"id":"https://openalex.org/keywords/orthogonal-frequency-division-multiplexing","display_name":"Orthogonal frequency-division multiplexing","score":0.44835880398750305},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.44826990365982056},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.43005430698394775},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.41975829005241394},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40968361496925354},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.33246660232543945},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2596798539161682},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.11995059251785278},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.11517423391342163}],"concepts":[{"id":"https://openalex.org/C198329298","wikidata":"https://www.wikidata.org/wiki/Q586358","display_name":"Subcarrier","level":4,"score":0.8242229223251343},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.6528239250183105},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6356543302536011},{"id":"https://openalex.org/C5274546","wikidata":"https://www.wikidata.org/wiki/Q5310264","display_name":"Duality gap","level":3,"score":0.6003888249397278},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5980165004730225},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5479289889335632},{"id":"https://openalex.org/C29202148","wikidata":"https://www.wikidata.org/wiki/Q287260","display_name":"Resource allocation","level":2,"score":0.5027318000793457},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.489300936460495},{"id":"https://openalex.org/C163863214","wikidata":"https://www.wikidata.org/wiki/Q7624553","display_name":"Strong duality","level":3,"score":0.48915866017341614},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4570190906524658},{"id":"https://openalex.org/C40409654","wikidata":"https://www.wikidata.org/wiki/Q375889","display_name":"Orthogonal frequency-division multiplexing","level":3,"score":0.44835880398750305},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.44826990365982056},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.43005430698394775},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.41975829005241394},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40968361496925354},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.33246660232543945},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2596798539161682},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.11995059251785278},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.11517423391342163},{"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/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/wsa.2008.4475564","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wsa.2008.4475564","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 International ITG Workshop on Smart Antennas","raw_type":"proceedings-article"},{"id":"pmh:oai:fraunhofer.de:N-74684","is_oa":false,"landing_page_url":"http://publica.fraunhofer.de/documents/N-74684.html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400801","display_name":"Publikationsdatenbank der Fraunhofer-Gesellschaft (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fraunhofer HHI","raw_type":"Conference Paper"},{"id":"pmh:oai:publica.fraunhofer.de:publica/358057","is_oa":false,"landing_page_url":"https://publica.fraunhofer.de/handle/publica/358057","pdf_url":null,"source":{"id":"https://openalex.org/S4306400318","display_name":"Fraunhofer-Publica (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"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":11,"referenced_works":["https://openalex.org/W182881619","https://openalex.org/W2040082383","https://openalex.org/W2096092982","https://openalex.org/W2112424831","https://openalex.org/W2117768889","https://openalex.org/W2156441612","https://openalex.org/W2161272050","https://openalex.org/W2389313528","https://openalex.org/W2798766386","https://openalex.org/W4254090244","https://openalex.org/W4302155765"],"related_works":["https://openalex.org/W4220928172","https://openalex.org/W2725387418","https://openalex.org/W2201555914","https://openalex.org/W2593555778","https://openalex.org/W2614523486","https://openalex.org/W2080941243","https://openalex.org/W2136200239","https://openalex.org/W2056178476","https://openalex.org/W3213165575","https://openalex.org/W2000285254"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"address":[4],"the":[5,49,52,62,77,81,93,94,109],"problem":[6],"of":[7,30],"power":[8,71],"allocation":[9,107],"in":[10],"OFDM":[11],"multi-user":[12],"systems,":[13],"if":[14],"each":[15],"subcarrier":[16],"has":[17],"to":[18,22,48,76],"be":[19,85],"allocated":[20],"exclusively":[21],"a":[23,66,100],"single":[24],"user.":[25],"Such":[26],"transmit":[27],"strategies":[28],"are":[29,38,55,73],"particular":[31],"interest":[32],"for":[33],"practical":[34],"systems":[35],"because":[36],"users":[37],"orthogonalized":[39],"and":[40],"thus":[41],"signal":[42],"processing":[43],"is":[44],"extremely":[45],"simple.":[46],"Due":[47],"combinatorial":[50,67],"structure":[51],"considered":[53],"problems":[54],"non-convex.":[56],"We":[57],"propose":[58],"algorithms":[59],"based":[60,91],"on":[61,92],"Lagrangian":[63,95],"dual":[64],"avoiding":[65],"optimization.":[68],"The":[69],"resulting":[70],"allocations":[72],"surprisingly":[74],"close":[75],"information-theoretic":[78],"optimum.":[79],"Moreover,":[80],"performance":[82],"loss":[83],"can":[84],"upper":[86],"bounded":[87],"by":[88],"an":[89],"expression":[90],"duality":[96],"gap,":[97],"which":[98],"yields":[99],"valuable":[101],"statement":[102],"about":[103],"any":[104],"arbitrary":[105],"resource":[106],"fulfilling":[108],"constraints.":[110]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}