{"id":"https://openalex.org/W2901086942","doi":"https://doi.org/10.1109/tvt.2018.2882500","title":"Energy-Efficient Power Allocation for NOMA With Imperfect CSI","display_name":"Energy-Efficient Power Allocation for NOMA With Imperfect CSI","publication_year":2018,"publication_date":"2018-11-20","ids":{"openalex":"https://openalex.org/W2901086942","doi":"https://doi.org/10.1109/tvt.2018.2882500","mag":"2901086942"},"language":"en","primary_location":{"id":"doi:10.1109/tvt.2018.2882500","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2018.2882500","pdf_url":null,"source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"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 Transactions on Vehicular Technology","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/A5101611296","display_name":"Mohammad Reza Zamani","orcid":"https://orcid.org/0000-0003-0666-2710"},"institutions":[{"id":"https://openalex.org/I204490172","display_name":"Shiraz University of Technology","ror":"https://ror.org/04bxa3v83","country_code":"IR","type":"education","lineage":["https://openalex.org/I204490172"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Mohammad Reza Zamani","raw_affiliation_strings":["Department of Electrical and Electronics Engineering, Shiraz University of Technology, Shiraz, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronics Engineering, Shiraz University of Technology, Shiraz, Iran","institution_ids":["https://openalex.org/I204490172"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086858496","display_name":"Mohsen Eslami","orcid":"https://orcid.org/0000-0001-7236-6923"},"institutions":[{"id":"https://openalex.org/I204490172","display_name":"Shiraz University of Technology","ror":"https://ror.org/04bxa3v83","country_code":"IR","type":"education","lineage":["https://openalex.org/I204490172"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mohsen Eslami","raw_affiliation_strings":["Department of Electrical and Electronics Engineering, Shiraz University of Technology, Shiraz, Iran"],"raw_orcid":"https://orcid.org/0000-0001-7236-6923","affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronics Engineering, Shiraz University of Technology, Shiraz, Iran","institution_ids":["https://openalex.org/I204490172"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055249798","display_name":"Mostafa Khorramizadeh","orcid":"https://orcid.org/0000-0002-8266-2715"},"institutions":[{"id":"https://openalex.org/I204490172","display_name":"Shiraz University of Technology","ror":"https://ror.org/04bxa3v83","country_code":"IR","type":"education","lineage":["https://openalex.org/I204490172"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mostafa Khorramizadeh","raw_affiliation_strings":["Department of Mathematics, Shiraz University of Technology, Shiraz, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shiraz University of Technology, Shiraz, Iran","institution_ids":["https://openalex.org/I204490172"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002904166","display_name":"Zhiguo Ding","orcid":"https://orcid.org/0000-0001-5280-384X"},"institutions":[{"id":"https://openalex.org/I67415387","display_name":"Lancaster University","ror":"https://ror.org/04f2nsd36","country_code":"GB","type":"education","lineage":["https://openalex.org/I67415387"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Zhiguo Ding","raw_affiliation_strings":["School of Computing and Communications, Lancaster University, Lancaster, U.K"],"raw_orcid":"https://orcid.org/0000-0001-5280-384X","affiliations":[{"raw_affiliation_string":"School of Computing and Communications, Lancaster University, Lancaster, U.K","institution_ids":["https://openalex.org/I67415387"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101611296"],"corresponding_institution_ids":["https://openalex.org/I204490172"],"apc_list":null,"apc_paid":null,"fwci":5.4972,"has_fulltext":false,"cited_by_count":89,"citation_normalized_percentile":{"value":0.96373611,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"68","issue":"1","first_page":"1009","last_page":"1013"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11458","display_name":"Advanced Wireless Communication Technologies","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/T11458","display_name":"Advanced Wireless Communication Technologies","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":0.9936000108718872,"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":0.9919000267982483,"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.712947428226471},{"id":"https://openalex.org/keywords/noma","display_name":"Noma","score":0.6178162097930908},{"id":"https://openalex.org/keywords/fractional-programming","display_name":"Fractional programming","score":0.598395586013794},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5803362727165222},{"id":"https://openalex.org/keywords/channel-state-information","display_name":"Channel state information","score":0.5758062601089478},{"id":"https://openalex.org/keywords/karush\u2013kuhn\u2013tucker-conditions","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","score":0.5739673376083374},{"id":"https://openalex.org/keywords/transmitter-power-output","display_name":"Transmitter power output","score":0.562039852142334},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.5245707035064697},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5152490735054016},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.49568378925323486},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4438377022743225},{"id":"https://openalex.org/keywords/quality-of-service","display_name":"Quality of service","score":0.4228423237800598},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4170783460140228},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.39818406105041504},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.3469603657722473},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3006150424480438},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.22691777348518372},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.21255841851234436},{"id":"https://openalex.org/keywords/telecommunications-link","display_name":"Telecommunications link","score":0.17631745338439941},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.16740521788597107}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.712947428226471},{"id":"https://openalex.org/C2775918612","wikidata":"https://www.wikidata.org/wiki/Q994794","display_name":"Noma","level":3,"score":0.6178162097930908},{"id":"https://openalex.org/C169069869","wikidata":"https://www.wikidata.org/wiki/Q5477546","display_name":"Fractional programming","level":4,"score":0.598395586013794},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5803362727165222},{"id":"https://openalex.org/C148063708","wikidata":"https://www.wikidata.org/wiki/Q5072511","display_name":"Channel state information","level":3,"score":0.5758062601089478},{"id":"https://openalex.org/C50454189","wikidata":"https://www.wikidata.org/wiki/Q2075125","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","level":2,"score":0.5739673376083374},{"id":"https://openalex.org/C65422117","wikidata":"https://www.wikidata.org/wiki/Q358527","display_name":"Transmitter power output","level":4,"score":0.562039852142334},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.5245707035064697},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5152490735054016},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.49568378925323486},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4438377022743225},{"id":"https://openalex.org/C5119721","wikidata":"https://www.wikidata.org/wiki/Q220501","display_name":"Quality of service","level":2,"score":0.4228423237800598},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4170783460140228},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.39818406105041504},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.3469603657722473},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3006150424480438},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.22691777348518372},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.21255841851234436},{"id":"https://openalex.org/C138660444","wikidata":"https://www.wikidata.org/wiki/Q5607897","display_name":"Telecommunications link","level":2,"score":0.17631745338439941},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.16740521788597107},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tvt.2018.2882500","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2018.2882500","pdf_url":null,"source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"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 Transactions on Vehicular Technology","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.9100000262260437,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G2098185546","display_name":null,"funder_award_id":"EP/N005597/2","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1500900870","https://openalex.org/W1690504809","https://openalex.org/W2163754837","https://openalex.org/W2211148590","https://openalex.org/W2287831847","https://openalex.org/W2310071424","https://openalex.org/W2496222037","https://openalex.org/W2507748565","https://openalex.org/W2522847968","https://openalex.org/W2593489945","https://openalex.org/W2740350092","https://openalex.org/W2951205086","https://openalex.org/W2962986212","https://openalex.org/W2963241516","https://openalex.org/W2963336322","https://openalex.org/W2963361188","https://openalex.org/W2963666254","https://openalex.org/W2963869708","https://openalex.org/W2963892071","https://openalex.org/W3101450547","https://openalex.org/W3103720573","https://openalex.org/W3103828530","https://openalex.org/W4293229790","https://openalex.org/W4361867455"],"related_works":["https://openalex.org/W2015244536","https://openalex.org/W1988754299","https://openalex.org/W2034024079","https://openalex.org/W2594574147","https://openalex.org/W834972196","https://openalex.org/W4230146972","https://openalex.org/W4387967834","https://openalex.org/W4205616904","https://openalex.org/W2074375256","https://openalex.org/W2477209608"],"abstract_inverted_index":{"An":[0],"optimum":[1],"user":[2,28,80],"power":[3,76,102],"allocation":[4],"solution":[5,73],"to":[6,46,78,98,109],"maximize":[7],"the":[8,63,75,84,113],"energy":[9],"efficiency":[10],"(EE)":[11],"in":[12,121],"a":[13,40,47,66,137],"non-orthogonal":[14],"multiple":[15,144],"access":[16,145],"(NOMA)":[17],"system":[18],"with":[19,53,127,132,141],"imperfect":[20],"channel":[21],"state":[22],"information":[23],"at":[24],"transmitter":[25],"(CSIT)":[26],"and":[27,93,131],"quality":[29],"of":[30,89,105,123],"service":[31],"constraint":[32],"is":[33,39,59,81],"proposed.":[34],"The":[35],"EE":[36],"objective":[37],"function":[38,43],"non-convex":[41],"nonlinear":[42],"that":[44,120],"leads":[45],"fractional":[48],"programming":[49],"problem.":[50],"To":[51],"deal":[52],"this":[54],"problem,":[55],"an":[56],"auxiliary":[57],"variable":[58],"defined,":[60],"which":[61],"converts":[62],"problem":[64],"into":[65],"convex":[67],"one.":[68],"A":[69],"closed":[70],"form":[71],"optimal":[72],"for":[74,112,125],"allocated":[77,108],"each":[79],"found":[82],"using":[83],"Karush-Kuhn-Tucker":[85],"conditions.":[86],"Furthermore,":[87],"difference":[88],"two":[90],"concave":[91],"functions-DC-programming":[92],"Dinkelbach":[94],"structure":[95],"are":[96],"used":[97],"find":[99],"close-to-optimal":[100],"total":[101],"value":[103],"(sum":[104],"powers":[106],"being":[107],"all":[110],"users)":[111],"multiuser":[114],"NOMA":[115,135],"system.":[116],"Simulation":[117],"results":[118],"show":[119],"terms":[122],"EE,":[124],"users":[126],"low":[128],"rate":[129],"requirement":[130],"CSIT":[133],"error,":[134],"has":[136],"better":[138],"performance":[139],"compared":[140],"conventional":[142],"orthogonal":[143],"(OMA).":[146]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":22},{"year":2021,"cited_by_count":19},{"year":2020,"cited_by_count":15},{"year":2019,"cited_by_count":8}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}