{"id":"https://openalex.org/W3129683837","doi":"https://doi.org/10.1109/tsp.2021.3117513","title":"Multi-Group Multicast Beamforming by Superiorized Projections Onto Convex Sets","display_name":"Multi-Group Multicast Beamforming by Superiorized Projections Onto Convex Sets","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3129683837","doi":"https://doi.org/10.1109/tsp.2021.3117513","mag":"3129683837"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2021.3117513","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tsp.2021.3117513","pdf_url":"https://ieeexplore.ieee.org/ielx7/78/4359509/09557796.pdf","source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://ieeexplore.ieee.org/ielx7/78/4359509/09557796.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065024269","display_name":"Jochen Fink","orcid":"https://orcid.org/0000-0003-4939-6758"},"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":"Jochen Fink","raw_affiliation_strings":["Fraunhofer Institute for Telecommunications, Heinrich Hertz Institute, Berlin, Germany","Fraunhofer Institute for Telecommunications Heinrich-Hertz-Institute, Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Fraunhofer Institute for Telecommunications, Heinrich Hertz Institute, Berlin, Germany","institution_ids":["https://openalex.org/I2800274787"]},{"raw_affiliation_string":"Fraunhofer Institute for Telecommunications Heinrich-Hertz-Institute, Berlin, Germany","institution_ids":["https://openalex.org/I2800274787"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082367041","display_name":"Renato L. G. Cavalcante","orcid":"https://orcid.org/0000-0002-8826-7580"},"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":"Renato Cavalcante","raw_affiliation_strings":["Fraunhofer Institute for Telecommunications, Heinrich Hertz Institute, Berlin, Germany","Fraunhofer Institute for Telecommunications Heinrich-Hertz-Institute, Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Fraunhofer Institute for Telecommunications, Heinrich Hertz Institute, Berlin, Germany","institution_ids":["https://openalex.org/I2800274787"]},{"raw_affiliation_string":"Fraunhofer Institute for Telecommunications Heinrich-Hertz-Institute, Berlin, Germany","institution_ids":["https://openalex.org/I2800274787"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068274314","display_name":"S\u0142awomir Sta\u0144czak","orcid":"https://orcid.org/0000-0003-3829-4668"},"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"]},{"id":"https://openalex.org/I4923324","display_name":"Fraunhofer-Gesellschaft","ror":"https://ror.org/05hkkdn48","country_code":"DE","type":"government","lineage":["https://openalex.org/I4923324"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Slawomir Stanczak","raw_affiliation_strings":["Fraunhofer Institute for Telecommunications, Heinrich Hertz Institute, Berlin, Germany","Fraunhofer Society"],"affiliations":[{"raw_affiliation_string":"Fraunhofer Institute for Telecommunications, Heinrich Hertz Institute, Berlin, Germany","institution_ids":["https://openalex.org/I2800274787"]},{"raw_affiliation_string":"Fraunhofer Society","institution_ids":["https://openalex.org/I4923324"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5065024269"],"corresponding_institution_ids":["https://openalex.org/I2800274787"],"apc_list":null,"apc_paid":null,"fwci":0.1016,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.40005446,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"69","issue":null,"first_page":"5708","last_page":"5722"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9995999932289124,"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":0.9995999932289124,"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/T12791","display_name":"Full-Duplex Wireless Communications","score":0.9972000122070312,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/multicast","display_name":"Multicast","score":0.648452639579773},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6148294806480408},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.5965322852134705},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.46925780177116394},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4510308504104614},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44614025950431824},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3652609884738922}],"concepts":[{"id":"https://openalex.org/C32295351","wikidata":"https://www.wikidata.org/wiki/Q899288","display_name":"Multicast","level":2,"score":0.648452639579773},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6148294806480408},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.5965322852134705},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.46925780177116394},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4510308504104614},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44614025950431824},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3652609884738922},{"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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1109/tsp.2021.3117513","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tsp.2021.3117513","pdf_url":"https://ieeexplore.ieee.org/ielx7/78/4359509/09557796.pdf","source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2102.11947","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2102.11947","pdf_url":"https://arxiv.org/pdf/2102.11947","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:fraunhofer.de:N-647515","is_oa":true,"landing_page_url":"http://publica.fraunhofer.de/documents/N-647515.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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fraunhofer HHI","raw_type":"Journal Article"},{"id":"pmh:oai:publica.fraunhofer.de:publica/416026","is_oa":false,"landing_page_url":"https://publica.fraunhofer.de/handle/publica/416026","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":"journal article"},{"id":"doi:10.48550/arxiv.2102.11947","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2102.11947","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"},{"id":"mag:3129683837","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"doi:10.1109/tsp.2021.3117513","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tsp.2021.3117513","pdf_url":"https://ieeexplore.ieee.org/ielx7/78/4359509/09557796.pdf","source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321114","display_name":"Bundesministerium f\u00fcr Bildung und Forschung","ror":"https://ror.org/04pz7b180"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3129683837.pdf","grobid_xml":"https://content.openalex.org/works/W3129683837.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W205960364","https://openalex.org/W1550107969","https://openalex.org/W1637411323","https://openalex.org/W1967236223","https://openalex.org/W1981044874","https://openalex.org/W1991264581","https://openalex.org/W1996215314","https://openalex.org/W1999539896","https://openalex.org/W1999913571","https://openalex.org/W2005778669","https://openalex.org/W2006593332","https://openalex.org/W2011347843","https://openalex.org/W2021350473","https://openalex.org/W2061626026","https://openalex.org/W2066333552","https://openalex.org/W2089470280","https://openalex.org/W2095887113","https://openalex.org/W2103972604","https://openalex.org/W2108078415","https://openalex.org/W2145486464","https://openalex.org/W2151268585","https://openalex.org/W2169363112","https://openalex.org/W2246091536","https://openalex.org/W2559328514","https://openalex.org/W2592837850","https://openalex.org/W2763679620","https://openalex.org/W2798909945","https://openalex.org/W2892068433","https://openalex.org/W2901838001","https://openalex.org/W2963341355","https://openalex.org/W3007105177","https://openalex.org/W3082804505","https://openalex.org/W3098387023","https://openalex.org/W3100992968","https://openalex.org/W4229650096","https://openalex.org/W6755257423","https://openalex.org/W6783197482"],"related_works":["https://openalex.org/W3204792658","https://openalex.org/W2327959774","https://openalex.org/W2962818859","https://openalex.org/W2770728682","https://openalex.org/W1955471624","https://openalex.org/W2999732672","https://openalex.org/W2912585321","https://openalex.org/W2952900249","https://openalex.org/W819956234","https://openalex.org/W2197814125","https://openalex.org/W2002745466","https://openalex.org/W3036065625","https://openalex.org/W3095525892","https://openalex.org/W3120001325","https://openalex.org/W2734460560","https://openalex.org/W2520332013","https://openalex.org/W2038350598","https://openalex.org/W2998247079","https://openalex.org/W2103325283","https://openalex.org/W2770089586"],"abstract_inverted_index":{"In":[0],"this":[1,67],"paper,":[2],"we":[3,65,74],"propose":[4],"an":[5],"iterative":[6],"algorithm":[7,108],"to":[8,43,85,93,111,113],"address":[9],"the":[10,29,48,62,83,87,91,100,107,118,125],"nonconvex":[11,94],"multi-group":[12],"multicast":[13],"beamforming":[14],"problem":[15,30],"with":[16,82],"quality-of-service":[17],"constraints":[18],"and":[19,73,90,137],"per-antenna":[20],"power":[21],"constraints.":[22],"We":[23,97],"formulate":[24],"a":[25,32,36,45,54,70,79,114],"convex":[26],"relaxation":[27],"of":[28,102,117,133],"as":[31,69],"semidefinite":[33,120],"program":[34],"in":[35,47,76,131,140],"real":[37],"Hilbert":[38],"space,":[39],"which":[40],"allows":[41],"us":[42],"approximate":[44],"point":[46,116],"feasible":[49,115],"set":[50],"by":[51,61],"iteratively":[52],"applying":[53],"bounded":[55],"perturbation":[56,81],"resilient":[57],"fixed-point":[58],"mapping.":[59],"Inspired":[60],"superiorization":[63],"methodology,":[64],"use":[66],"mapping":[68],"basic":[71],"algorithm,":[72],"add":[75],"each":[77],"iteration":[78],"small":[80],"intent":[84],"reduce":[86],"objective":[88],"value":[89],"distance":[92],"rank-constraint":[95],"sets.":[96],"prove":[98],"that":[99,124],"sequence":[101],"perturbations":[103],"is":[104,109],"bounded,":[105],"so":[106],"guaranteed":[110],"converge":[112],"relaxed":[119],"program.":[121],"Simulations":[122],"show":[123],"proposed":[126],"approach":[127],"outperforms":[128],"existing":[129],"algorithms":[130],"terms":[132],"both":[134],"computation":[135],"time":[136],"approximation":[138],"gap":[139],"many":[141],"cases.":[142]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}