{"id":"https://openalex.org/W3015221484","doi":"https://doi.org/10.1109/icassp40776.2020.9053471","title":"Transmit Beamforming Design with Received-Interference Power Constraints: The Zero-Forcing Relaxation","display_name":"Transmit Beamforming Design with Received-Interference Power Constraints: The Zero-Forcing Relaxation","publication_year":2020,"publication_date":"2020-04-09","ids":{"openalex":"https://openalex.org/W3015221484","doi":"https://doi.org/10.1109/icassp40776.2020.9053471","mag":"3015221484"},"language":"en","primary_location":{"id":"doi:10.1109/icassp40776.2020.9053471","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp40776.2020.9053471","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://orbilu.uni.lu/handle/10993/42718","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026746581","display_name":"Eva Lagunas","orcid":"https://orcid.org/0000-0002-9936-7245"},"institutions":[{"id":"https://openalex.org/I186903577","display_name":"University of Luxembourg","ror":"https://ror.org/036x5ad56","country_code":"LU","type":"education","lineage":["https://openalex.org/I186903577"]}],"countries":["LU"],"is_corresponding":true,"raw_author_name":"E. Lagunas","raw_affiliation_strings":["Interdisciplinary Centre for Security, Reliability and Trust (SnT), University of Luxembourg, Luxembourg"],"affiliations":[{"raw_affiliation_string":"Interdisciplinary Centre for Security, Reliability and Trust (SnT), University of Luxembourg, Luxembourg","institution_ids":["https://openalex.org/I186903577"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046234769","display_name":"Ana I. P\u00e8rez-Neira","orcid":"https://orcid.org/0000-0003-4281-3934"},"institutions":[{"id":"https://openalex.org/I4210087295","display_name":"Centre Tecnologic de Telecomunicacions de Catalunya","ror":"https://ror.org/001cwea56","country_code":"ES","type":"nonprofit","lineage":["https://openalex.org/I4210087295","https://openalex.org/I4387153040"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"A. Perez-Neira","raw_affiliation_strings":["Centre Tecnologic de les Telecomunicacions de Catalunya (CTTC/CERCA), Castelldefels, Spain"],"affiliations":[{"raw_affiliation_string":"Centre Tecnologic de les Telecomunicacions de Catalunya (CTTC/CERCA), Castelldefels, Spain","institution_ids":["https://openalex.org/I4210087295"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041796821","display_name":"M.A. Lagunas","orcid":"https://orcid.org/0000-0003-3338-244X"},"institutions":[{"id":"https://openalex.org/I4210087295","display_name":"Centre Tecnologic de Telecomunicacions de Catalunya","ror":"https://ror.org/001cwea56","country_code":"ES","type":"nonprofit","lineage":["https://openalex.org/I4210087295","https://openalex.org/I4387153040"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M.A. Lagunas","raw_affiliation_strings":["Centre Tecnologic de les Telecomunicacions de Catalunya (CTTC/CERCA), Castelldefels, Spain"],"affiliations":[{"raw_affiliation_string":"Centre Tecnologic de les Telecomunicacions de Catalunya (CTTC/CERCA), Castelldefels, Spain","institution_ids":["https://openalex.org/I4210087295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070905739","display_name":"Miguel \u00c1ngel V\u00e1zquez","orcid":"https://orcid.org/0000-0002-1659-5390"},"institutions":[{"id":"https://openalex.org/I4210087295","display_name":"Centre Tecnologic de Telecomunicacions de Catalunya","ror":"https://ror.org/001cwea56","country_code":"ES","type":"nonprofit","lineage":["https://openalex.org/I4210087295","https://openalex.org/I4387153040"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M.A. Vazquez","raw_affiliation_strings":["Centre Tecnologic de les Telecomunicacions de Catalunya (CTTC/CERCA), Castelldefels, Spain"],"affiliations":[{"raw_affiliation_string":"Centre Tecnologic de les Telecomunicacions de Catalunya (CTTC/CERCA), Castelldefels, Spain","institution_ids":["https://openalex.org/I4210087295"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5026746581"],"corresponding_institution_ids":["https://openalex.org/I186903577"],"apc_list":null,"apc_paid":null,"fwci":0.3119,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.55812858,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"4727","last_page":"4731"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems 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/T10148","display_name":"Advanced MIMO Systems 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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12791","display_name":"Full-Duplex Wireless Communications","score":0.9994000196456909,"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":0.8739662170410156},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6829620599746704},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5984953045845032},{"id":"https://openalex.org/keywords/signal-to-noise-ratio","display_name":"Signal-to-noise ratio (imaging)","score":0.5412362217903137},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.5182737708091736},{"id":"https://openalex.org/keywords/interference","display_name":"Interference (communication)","score":0.49996399879455566},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.49653297662734985},{"id":"https://openalex.org/keywords/transmitter-power-output","display_name":"Transmitter power output","score":0.49651843309402466},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.46278220415115356},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.44534367322921753},{"id":"https://openalex.org/keywords/precoding","display_name":"Precoding","score":0.4191811978816986},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4174586534500122},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30274224281311035},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.28437721729278564},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.26514995098114014},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.20331549644470215},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18548771739006042},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.16436734795570374},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1424788534641266}],"concepts":[{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.8739662170410156},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6829620599746704},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5984953045845032},{"id":"https://openalex.org/C13944312","wikidata":"https://www.wikidata.org/wiki/Q7512748","display_name":"Signal-to-noise ratio (imaging)","level":2,"score":0.5412362217903137},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.5182737708091736},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.49996399879455566},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.49653297662734985},{"id":"https://openalex.org/C65422117","wikidata":"https://www.wikidata.org/wiki/Q358527","display_name":"Transmitter power output","level":4,"score":0.49651843309402466},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.46278220415115356},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.44534367322921753},{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.4191811978816986},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4174586534500122},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30274224281311035},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.28437721729278564},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.26514995098114014},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.20331549644470215},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18548771739006042},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.16436734795570374},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1424788534641266},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/icassp40776.2020.9053471","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp40776.2020.9053471","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"},{"id":"pmh:oai:orbilu.uni.lu:10993/42718","is_oa":true,"landing_page_url":"http://orbilu.uni.lu/handle/10993/42718","pdf_url":null,"source":{"id":"https://openalex.org/S4306401815","display_name":"Open Repository and Bibliography (University of Luxembourg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I186903577","host_organization_name":"University of Luxembourg","host_organization_lineage":["https://openalex.org/I186903577"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Int. Conf. on Acoustics, Speech, and Signal Processing (ICASSP), Barcelona, Spain, May 2020 (2020-05); IEEE Int. Conf. on Acoustics, Speech, and Signal Processing (ICASSP), May 2020","raw_type":"peer reviewed"},{"id":"pmh:oai:upcommons.upc.edu:2117/336080","is_oa":true,"landing_page_url":"http://hdl.handle.net/2117/336080","pdf_url":null,"source":{"id":"https://openalex.org/S4210207057","display_name":"QRU Quaderns de Recerca en Urbanisme","issn_l":"2014-9689","issn":["2014-9689","2385-6777"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310322448","host_organization_name":"Q71272178","host_organization_lineage":["https://openalex.org/P4310322448"],"host_organization_lineage_names":["Q71272178"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Conference report"},{"id":"pmh:oai:zenodo.org:3983070","is_oa":true,"landing_page_url":"https://zenodo.org/record/3983070","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferencePaper"}],"best_oa_location":{"id":"pmh:oai:orbilu.uni.lu:10993/42718","is_oa":true,"landing_page_url":"http://orbilu.uni.lu/handle/10993/42718","pdf_url":null,"source":{"id":"https://openalex.org/S4306401815","display_name":"Open Repository and Bibliography (University of Luxembourg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I186903577","host_organization_name":"University of Luxembourg","host_organization_lineage":["https://openalex.org/I186903577"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Int. Conf. on Acoustics, Speech, and Signal Processing (ICASSP), Barcelona, Spain, May 2020 (2020-05); IEEE Int. Conf. on Acoustics, Speech, and Signal Processing (ICASSP), May 2020","raw_type":"peer reviewed"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.5199999809265137}],"awards":[{"id":"https://openalex.org/G1008005187","display_name":null,"funder_award_id":"AEI/FEDER, UE","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G1643641974","display_name":null,"funder_award_id":"AEI/FEDER","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G2311694283","display_name":null,"funder_award_id":"AEI/FEDER","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G4816244515","display_name":null,"funder_award_id":"FEDER","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G6063137639","display_name":null,"funder_award_id":"FEDER","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G7115649624","display_name":null,"funder_award_id":"FEDER, UE","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320315062","display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades","ror":null},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1563919256","https://openalex.org/W1969089650","https://openalex.org/W1978796573","https://openalex.org/W2030546921","https://openalex.org/W2063773941","https://openalex.org/W2072599023","https://openalex.org/W2103749601","https://openalex.org/W2105147296","https://openalex.org/W2105147943","https://openalex.org/W2109005286","https://openalex.org/W2112300062","https://openalex.org/W2143927285","https://openalex.org/W2146761479","https://openalex.org/W2159599061","https://openalex.org/W2163762663","https://openalex.org/W2296319761","https://openalex.org/W2892667086","https://openalex.org/W4250589301","https://openalex.org/W6634018624"],"related_works":["https://openalex.org/W3087844490","https://openalex.org/W3090699061","https://openalex.org/W4387546583","https://openalex.org/W2051762234","https://openalex.org/W2131408743","https://openalex.org/W2055634632","https://openalex.org/W4396680560","https://openalex.org/W2787827467","https://openalex.org/W4367031485","https://openalex.org/W3114941719"],"abstract_inverted_index":{"The":[0],"use":[1,113],"of":[2,11,39,95,114],"multi-antenna":[3],"transmitters":[4],"is":[5,138],"emerging":[6],"as":[7],"an":[8,81],"essential":[9],"technology":[10],"the":[12,23,37,43,47,56,67,71,112,134,144],"future":[13],"wireless":[14],"communication":[15],"systems.":[16,125],"While":[17],"Zero-Forcing":[18],"Beamforming":[19],"(ZFB)":[20],"has":[21,31],"become":[22],"most":[24],"popular":[25],"low-complexity":[26],"transmit":[27,72,83,136],"beamforming":[28,84,137],"design,":[29],"it":[30,99],"some":[32,90],"drawbacks":[33],"basically":[34],"related":[35],"to":[36,41,97,140,143],"effort":[38],"\"trying\"":[40],"invert":[42],"channel":[44],"coefficients":[45],"towards":[46],"interfered":[48,68],"users.":[49],"In":[50,74],"particular,":[51],"ZFB":[52],"performs":[53],"poorly":[54],"in":[55,79],"low":[57],"Signal-to-Noise":[58],"Ratio":[59],"(SNR)":[60],"regime":[61],"and":[62],"does":[63],"not":[64],"work":[65],"when":[66],"users":[69],"outnumber":[70],"antennas.":[73],"this":[75],"paper,":[76],"we":[77,88,103],"study":[78],"detail":[80],"alternative":[82],"design":[85],"framework,":[86],"where":[87],"allow":[89],"residual":[91],"received-interference":[92],"power":[93],"instead":[94],"trying":[96],"null":[98],"completely":[100],"out.":[101],"Subsequently,":[102],"provide":[104],"a":[105],"close-form":[106],"non-iterative":[107],"optimal":[108,145],"solution":[109],"that":[110,119,133],"avoids":[111],"sophisticated":[115],"convex":[116],"optimization":[117],"techniques":[118],"compromise":[120],"its":[121],"applicability":[122],"onto":[123],"practical":[124],"Supporting":[126],"results":[127],"based":[128],"on":[129],"numerical":[130],"simulations":[131],"show":[132],"proposed":[135],"able":[139],"perform":[141],"close":[142],"with":[146],"much":[147],"lower":[148],"computational":[149],"complexity.":[150]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}