{"id":"https://openalex.org/W2581726222","doi":"https://doi.org/10.1109/iccs.2016.7833634","title":"Max-min fair robust beamforming design for multi-user MISO SWIPT systems","display_name":"Max-min fair robust beamforming design for multi-user MISO SWIPT systems","publication_year":2016,"publication_date":"2016-12-01","ids":{"openalex":"https://openalex.org/W2581726222","doi":"https://doi.org/10.1109/iccs.2016.7833634","mag":"2581726222"},"language":"en","primary_location":{"id":"doi:10.1109/iccs.2016.7833634","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccs.2016.7833634","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Conference on Communication Systems (ICCS)","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/A5100325412","display_name":"Shan Zhang","orcid":"https://orcid.org/0000-0002-0978-3414"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shan Zhang","raw_affiliation_strings":["School of Information Science and Engineering, Southeast University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100325587","display_name":"Haiyang Zhang","orcid":"https://orcid.org/0000-0002-9136-0735"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haiyang Zhang","raw_affiliation_strings":["School of Information Science and Engineering, Southeast University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111277180","display_name":"Luxi Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Luxi Yang","raw_affiliation_strings":["School of Information Science and Engineering, Southeast University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100325412"],"corresponding_institution_ids":["https://openalex.org/I76569877"],"apc_list":null,"apc_paid":null,"fwci":0.7351,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.76260846,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"62","issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11392","display_name":"Energy Harvesting in Wireless Networks","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/T11392","display_name":"Energy Harvesting in Wireless Networks","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/T10069","display_name":"Antenna Design and Analysis","score":0.9983999729156494,"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"}},{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9983999729156494,"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/beamforming","display_name":"Beamforming","score":0.8587225079536438},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.7846016883850098},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.7622466087341309},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6690390706062317},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6462007761001587},{"id":"https://openalex.org/keywords/transmitter-power-output","display_name":"Transmitter power output","score":0.5961220860481262},{"id":"https://openalex.org/keywords/maximum-power-transfer-theorem","display_name":"Maximum power transfer theorem","score":0.5952839255332947},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.5853759050369263},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5426486134529114},{"id":"https://openalex.org/keywords/channel-state-information","display_name":"Channel state information","score":0.5107731819152832},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.4929647445678711},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.48513326048851013},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.46469753980636597},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.43501976132392883},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.4345329999923706},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.32407283782958984},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.28633666038513184},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.25029146671295166},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24579858779907227},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20127272605895996},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.18442818522453308}],"concepts":[{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.8587225079536438},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7846016883850098},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.7622466087341309},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6690390706062317},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6462007761001587},{"id":"https://openalex.org/C65422117","wikidata":"https://www.wikidata.org/wiki/Q358527","display_name":"Transmitter power output","level":4,"score":0.5961220860481262},{"id":"https://openalex.org/C67186554","wikidata":"https://www.wikidata.org/wiki/Q17103352","display_name":"Maximum power transfer theorem","level":3,"score":0.5952839255332947},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.5853759050369263},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5426486134529114},{"id":"https://openalex.org/C148063708","wikidata":"https://www.wikidata.org/wiki/Q5072511","display_name":"Channel state information","level":3,"score":0.5107731819152832},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.4929647445678711},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.48513326048851013},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.46469753980636597},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.43501976132392883},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.4345329999923706},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.32407283782958984},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.28633666038513184},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.25029146671295166},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24579858779907227},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20127272605895996},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.18442818522453308},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iccs.2016.7833634","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccs.2016.7833634","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Conference on Communication Systems (ICCS)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.8799999952316284,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1498216833","https://openalex.org/W1514591263","https://openalex.org/W1522604863","https://openalex.org/W1538032071","https://openalex.org/W1547222365","https://openalex.org/W1561336436","https://openalex.org/W1986713630","https://openalex.org/W1996215314","https://openalex.org/W2002932684","https://openalex.org/W2012031054","https://openalex.org/W2032372805","https://openalex.org/W2042738017","https://openalex.org/W2061801782","https://openalex.org/W2081035264","https://openalex.org/W2085001422","https://openalex.org/W2106616990","https://openalex.org/W2144676920","https://openalex.org/W2147942702","https://openalex.org/W2170263567","https://openalex.org/W2240422584","https://openalex.org/W2246629406","https://openalex.org/W2368975782","https://openalex.org/W2470466527","https://openalex.org/W3101176927","https://openalex.org/W3105289681","https://openalex.org/W4250589301","https://openalex.org/W6632249842"],"related_works":["https://openalex.org/W2036562274","https://openalex.org/W2269291726","https://openalex.org/W2121045497","https://openalex.org/W2128202699","https://openalex.org/W2239063252","https://openalex.org/W2165349700","https://openalex.org/W2461836650","https://openalex.org/W2386411162","https://openalex.org/W1997197201","https://openalex.org/W2014318473"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3,16,128],"robust":[4],"transmission":[5],"design":[6,36],"for":[7],"simultaneous":[8],"wireless":[9],"information":[10,30],"and":[11,56,67,87,137,157],"power":[12,58,70],"transfer":[13],"(SWIPT)":[14],"in":[15],"multiuser":[17],"multiple-input":[18],"single-output":[19],"(MISO)":[20],"broadcast":[21],"system,":[22],"under":[23],"the":[24,33,41,47,52,57,63,80,117,120,155,160],"assumption":[25],"of":[26,45,82,85,119,159],"imperfect":[27],"channel":[28],"state":[29],"(CSI)":[31],"at":[32],"transmitter.":[34],"Our":[35],"objective":[37],"is":[38,76,90,135],"to":[39,79,92,153],"maximize":[40],"minimum":[42],"harvested":[43],"energy":[44],"all":[46],"receivers":[48],"by":[49,109,143],"jointly":[50],"optimizing":[51],"transmit":[53,69],"beamforming":[54],"vectors":[55],"splitting":[59],"ratios":[60],"while":[61],"guaranteeing":[62],"signal-to-interference-and-noise":[64],"ratio":[65],"(SINR)":[66],"total":[68],"constraints.":[71],"The":[72],"aforementioned":[73],"max-min":[74],"problem":[75,105],"non-convex":[77,104],"due":[78],"existing":[81],"infinite":[83],"number":[84],"constraints,":[86],"thus":[88,138],"it":[89,100],"difficult":[91],"solve.":[93],"To":[94],"tackle":[95],"it,":[96],"we":[97,125],"first":[98],"convert":[99],"into":[101],"an":[102],"easier":[103],"with":[106,116],"finite":[107],"constraints":[108],"using":[110,144],"some":[111],"certain":[112],"transformation":[113],"techniques.":[114],"Then,":[115],"aid":[118],"semidefinite":[121,130],"relaxation":[122],"(SDR)":[123],"technique,":[124],"further":[126],"obtain":[127],"relaxed":[129],"programming":[131],"(SDP)":[132],"problem,":[133],"which":[134],"convex":[136],"can":[139],"be":[140],"solved":[141],"efficiently":[142],"interior":[145],"point":[146],"methods.":[147],"Finally,":[148],"simulation":[149],"results":[150],"are":[151],"provided":[152],"validate":[154],"robustness":[156],"effectiveness":[158],"proposed":[161],"scheme.":[162]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}