{"id":"https://openalex.org/W3044771131","doi":"https://doi.org/10.23919/wiopt47501.2019.9144099","title":"Fractional Programming for Robust TX BF Design in Multi-User/Single-Carrier PD-NOMA","display_name":"Fractional Programming for Robust TX BF Design in Multi-User/Single-Carrier PD-NOMA","publication_year":2019,"publication_date":"2019-06-01","ids":{"openalex":"https://openalex.org/W3044771131","doi":"https://doi.org/10.23919/wiopt47501.2019.9144099","mag":"3044771131"},"language":"en","primary_location":{"id":"doi:10.23919/wiopt47501.2019.9144099","is_oa":false,"landing_page_url":"https://doi.org/10.23919/wiopt47501.2019.9144099","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOPT)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5035223809","display_name":"Hiroki Iimori","orcid":"https://orcid.org/0000-0003-3417-1513"},"institutions":[{"id":"https://openalex.org/I193619901","display_name":"Constructor University","ror":"https://ror.org/02yrs2n53","country_code":"DE","type":"education","lineage":["https://openalex.org/I193619901"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Hiroki Iimori","raw_affiliation_strings":["Department of Computer Science and Electrical Engineering, Jacobs University, Bremen Campus Ring 1, Bremen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Electrical Engineering, Jacobs University, Bremen Campus Ring 1, Bremen, Germany","institution_ids":["https://openalex.org/I193619901"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042210188","display_name":"Giuseppe Thadeu Freitas de Abreu","orcid":"https://orcid.org/0000-0002-5018-8174"},"institutions":[{"id":"https://openalex.org/I193619901","display_name":"Constructor University","ror":"https://ror.org/02yrs2n53","country_code":"DE","type":"education","lineage":["https://openalex.org/I193619901"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Giuseppe Abreu","raw_affiliation_strings":["Department of Computer Science and Electrical Engineering, Jacobs University, Bremen Campus Ring 1, Bremen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Electrical Engineering, Jacobs University, Bremen Campus Ring 1, Bremen, Germany","institution_ids":["https://openalex.org/I193619901"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059209567","display_name":"Koji Ishibashi","orcid":"https://orcid.org/0000-0002-7145-5622"},"institutions":[{"id":"https://openalex.org/I20529979","display_name":"University of Electro-Communications","ror":"https://ror.org/02x73b849","country_code":"JP","type":"education","lineage":["https://openalex.org/I20529979"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Koji Ishibashi","raw_affiliation_strings":["Advanced Wireless & Communication Research Center (AWCC), The University of Electro-Communications, 1-5-1 Chofugaoka, Chofu-shi, Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Advanced Wireless & Communication Research Center (AWCC), The University of Electro-Communications, 1-5-1 Chofugaoka, Chofu-shi, Tokyo, Japan","institution_ids":["https://openalex.org/I20529979"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"7"},"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/T11873","display_name":"PAPR reduction in OFDM","score":0.9958000183105469,"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/T12042","display_name":"Satellite Communication Systems","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/robustness","display_name":"Robustness (evolution)","score":0.7136793732643127},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5937972068786621},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.5868098139762878},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.5711196660995483},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5484734773635864},{"id":"https://openalex.org/keywords/channel-state-information","display_name":"Channel state information","score":0.5109630823135376},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.4923349618911743},{"id":"https://openalex.org/keywords/quadratically-constrained-quadratic-program","display_name":"Quadratically constrained quadratic program","score":0.4903833866119385},{"id":"https://openalex.org/keywords/transmitter-power-output","display_name":"Transmitter power output","score":0.48475930094718933},{"id":"https://openalex.org/keywords/signal-to-interference-plus-noise-ratio","display_name":"Signal-to-interference-plus-noise ratio","score":0.4760042130947113},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.44362562894821167},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.4415876567363739},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4049440026283264},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.40138280391693115},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3803223669528961},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37009376287460327},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.31563669443130493},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.24593156576156616},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.192513108253479},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.17424556612968445}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7136793732643127},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5937972068786621},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.5868098139762878},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.5711196660995483},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5484734773635864},{"id":"https://openalex.org/C148063708","wikidata":"https://www.wikidata.org/wiki/Q5072511","display_name":"Channel state information","level":3,"score":0.5109630823135376},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.4923349618911743},{"id":"https://openalex.org/C65148998","wikidata":"https://www.wikidata.org/wiki/Q7268373","display_name":"Quadratically constrained quadratic program","level":3,"score":0.4903833866119385},{"id":"https://openalex.org/C65422117","wikidata":"https://www.wikidata.org/wiki/Q358527","display_name":"Transmitter power output","level":4,"score":0.48475930094718933},{"id":"https://openalex.org/C98824394","wikidata":"https://www.wikidata.org/wiki/Q4035626","display_name":"Signal-to-interference-plus-noise ratio","level":3,"score":0.4760042130947113},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.44362562894821167},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.4415876567363739},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4049440026283264},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.40138280391693115},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3803223669528961},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37009376287460327},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.31563669443130493},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.24593156576156616},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.192513108253479},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.17424556612968445},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/wiopt47501.2019.9144099","is_oa":false,"landing_page_url":"https://doi.org/10.23919/wiopt47501.2019.9144099","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOPT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.8600000143051147,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1502109331","https://openalex.org/W1525552993","https://openalex.org/W1690504809","https://openalex.org/W1996215314","https://openalex.org/W2027563534","https://openalex.org/W2067314231","https://openalex.org/W2070240105","https://openalex.org/W2145486800","https://openalex.org/W2159284803","https://openalex.org/W2169363112","https://openalex.org/W2342651886","https://openalex.org/W2343463506","https://openalex.org/W2484659212","https://openalex.org/W2557151866","https://openalex.org/W2612184630","https://openalex.org/W2719623715","https://openalex.org/W2769456309","https://openalex.org/W2788350651","https://openalex.org/W2858664339","https://openalex.org/W2951205086","https://openalex.org/W2963336322","https://openalex.org/W4298272929"],"related_works":["https://openalex.org/W2348903644","https://openalex.org/W1989828432","https://openalex.org/W2975050997","https://openalex.org/W2233303476","https://openalex.org/W2352839224","https://openalex.org/W2371590971","https://openalex.org/W1653317167","https://openalex.org/W2203098598","https://openalex.org/W2024017812","https://openalex.org/W2952690984"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,77,91,109,126],"new":[3],"Beamforming-based":[4],"(BB)":[5],"Multiple-Input":[6],"Single-Output":[7],"(MISO)-":[8],"Non":[9],"-orthogonal":[10],"Multiple":[11],"Access":[12],"(NOMA)":[13],"scheme":[14],"for":[15,36,104,112,184],"Power":[16],"Domain":[17],"NOMA":[18],"(PD-NOMA),":[19],"in":[20,182,187],"which":[21,81,147,163,171],"the":[22,41,53,58,68,73,86,96,99,105,116,123,133,140,155,165,168],"total":[23],"transmit":[24,180],"power":[25,181],"consumption":[26],"is":[27,50,64,120,145,148,172],"minimized":[28],"subjected":[29],"to":[30,66,150,174],"prescribed":[31],"signal-to-interference-plus-noise":[32],"ratio":[33],"(SINR)":[34],"requirements":[35],"each":[37],"user,":[38],"and":[39,139],"under":[40],"assumption":[42],"that":[43,98],"only":[44,176],"imperfect":[45],"channel":[46],"state":[47],"information":[48],"(CSI)":[49],"available":[51],"at":[52],"transmitter.":[54],"To":[55],"this":[56],"end,":[57],"fractional":[59],"programming":[60],"(FP)-based":[61],"quadratic":[62,79,107],"transform":[63],"employed":[65],"reformulate":[67],"non-convex":[69,106],"SINR":[70],"constraint":[71],"of":[72,85,95,115,152,167,179],"original":[74],"problem":[75],"into":[76],"tractable":[78],"form,":[80],"contains":[82],"an":[83,113],"estimate":[84,114],"CSI":[87,117,136,190],"error":[88,118,137],"vector":[89,119,138],"as":[90],"parameter.":[92],"Taking":[93],"advantage":[94],"fact":[97],"zero":[100],"duality":[101],"gap":[102],"holds":[103],"problems,":[108],"closed-form":[110],"expression":[111],"derived,":[121],"completing":[122],"formulation.":[124],"Finally,":[125],"novel":[127],"iterative":[128],"algorithm":[129],"based":[130],"on":[131],"both":[132],"herein":[134],"derived":[135],"semidefinite":[141],"relaxation":[142],"(SDR)":[143],"technique":[144],"contributed,":[146],"shown":[149],"capable":[151],"efficiently":[153],"solving":[154],"constrained":[156],"min-power":[157],"problem.":[158],"Simulation":[159],"results":[160],"are":[161],"given":[162],"illustrate":[164],"effectiveness":[166],"proposed":[169],"algorithm,":[170],"found":[173],"sacrifice":[175],"small":[177],"quantities":[178],"return":[183],"substantial":[185],"increase":[186],"robustness":[188],"against":[189],"imperfection.":[191]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
