{"id":"https://openalex.org/W2095399737","doi":"https://doi.org/10.1109/glocom.2011.6134324","title":"Optimized Solutions for Beamforming Problems in Amplify-Forward Wireless Relay Networks","display_name":"Optimized Solutions for Beamforming Problems in Amplify-Forward Wireless Relay Networks","publication_year":2011,"publication_date":"2011-12-01","ids":{"openalex":"https://openalex.org/W2095399737","doi":"https://doi.org/10.1109/glocom.2011.6134324","mag":"2095399737"},"language":"en","primary_location":{"id":"doi:10.1109/glocom.2011.6134324","is_oa":false,"landing_page_url":"https://doi.org/10.1109/glocom.2011.6134324","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE Global Telecommunications Conference - GLOBECOM 2011","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/A5052051065","display_name":"Anh Huy Phan","orcid":"https://orcid.org/0000-0002-5509-7773"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"A. H. Phan","raw_affiliation_strings":["[School of EET, University of New South Wales, Sydney, NSW, Australia]"],"affiliations":[{"raw_affiliation_string":"[School of EET, University of New South Wales, Sydney, NSW, Australia]","institution_ids":["https://openalex.org/I31746571"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046645515","display_name":"Hoang Duong Tuan","orcid":"https://orcid.org/0000-0003-0292-6061"},"institutions":[{"id":"https://openalex.org/I114017466","display_name":"University of Technology Sydney","ror":"https://ror.org/03f0f6041","country_code":"AU","type":"education","lineage":["https://openalex.org/I114017466"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"H. D. Tuan","raw_affiliation_strings":["Sch. of Eng. & Inf. Technol., Univ. of Technol., Sydney, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"Sch. of Eng. & Inf. Technol., Univ. of Technol., Sydney, NSW, Australia","institution_ids":["https://openalex.org/I114017466"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011525161","display_name":"Ha Hoang Kha","orcid":"https://orcid.org/0000-0003-2569-4152"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"H. H. Kha","raw_affiliation_strings":["[School of EET, University of New South Wales, Sydney, NSW, Australia]"],"affiliations":[{"raw_affiliation_string":"[School of EET, University of New South Wales, Sydney, NSW, Australia]","institution_ids":["https://openalex.org/I31746571"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5052051065"],"corresponding_institution_ids":["https://openalex.org/I31746571"],"apc_list":null,"apc_paid":null,"fwci":1.4574,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.83479836,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9998000264167786,"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":0.9988999962806702,"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":0.9980999827384949,"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/relay","display_name":"Relay","score":0.7524247765541077},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.7155288457870483},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6975098848342896},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6648869514465332},{"id":"https://openalex.org/keywords/quadratic-growth","display_name":"Quadratic growth","score":0.6235181093215942},{"id":"https://openalex.org/keywords/quadratically-constrained-quadratic-program","display_name":"Quadratically constrained quadratic program","score":0.6163449287414551},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.6142493486404419},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5968540906906128},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.5357040762901306},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.5155887007713318},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5055367946624756},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4864042103290558},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4513484835624695},{"id":"https://openalex.org/keywords/second-order-cone-programming","display_name":"Second-order cone programming","score":0.44486716389656067},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.33009275794029236},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3203223943710327},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28819844126701355},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23900920152664185},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.11945739388465881}],"concepts":[{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.7524247765541077},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.7155288457870483},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6975098848342896},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6648869514465332},{"id":"https://openalex.org/C195956108","wikidata":"https://www.wikidata.org/wiki/Q7268362","display_name":"Quadratic growth","level":2,"score":0.6235181093215942},{"id":"https://openalex.org/C65148998","wikidata":"https://www.wikidata.org/wiki/Q7268373","display_name":"Quadratically constrained quadratic program","level":3,"score":0.6163449287414551},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.6142493486404419},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5968540906906128},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.5357040762901306},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.5155887007713318},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5055367946624756},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4864042103290558},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4513484835624695},{"id":"https://openalex.org/C111397411","wikidata":"https://www.wikidata.org/wiki/Q7442977","display_name":"Second-order cone programming","level":4,"score":0.44486716389656067},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.33009275794029236},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3203223943710327},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28819844126701355},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23900920152664185},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.11945739388465881},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/glocom.2011.6134324","is_oa":false,"landing_page_url":"https://doi.org/10.1109/glocom.2011.6134324","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE Global Telecommunications Conference - GLOBECOM 2011","raw_type":"proceedings-article"},{"id":"pmh:oai:opus.lib.uts.edu.au:10453/120230","is_oa":false,"landing_page_url":"http://hdl.handle.net/10453/120230","pdf_url":null,"source":{"id":"https://openalex.org/S4306401357","display_name":"UTS ePRESS (University of Technology Sydney)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I114017466","host_organization_name":"University of Technology Sydney","host_organization_lineage":["https://openalex.org/I114017466"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Proceeding"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1967073510","https://openalex.org/W1987794367","https://openalex.org/W2103366363","https://openalex.org/W2105580290","https://openalex.org/W2117362537","https://openalex.org/W2129477191","https://openalex.org/W2160209016","https://openalex.org/W2166469289","https://openalex.org/W2296319761","https://openalex.org/W4250589301"],"related_works":["https://openalex.org/W2233303476","https://openalex.org/W1878408459","https://openalex.org/W4297407962","https://openalex.org/W1653317167","https://openalex.org/W2352839224","https://openalex.org/W2808715032","https://openalex.org/W2371590971","https://openalex.org/W1496670269","https://openalex.org/W2022619808","https://openalex.org/W2112847829"],"abstract_inverted_index":{"Beamforming":[0],"problems":[1,18,55],"in":[2,66],"amlify-forward":[3],"(AF)":[4],"wireless":[5],"relay":[6],"network":[7],"can":[8,44,62,108],"be":[9,45,63,109],"formulated":[10],"as":[11,70],"nonconvex":[12],"quadratically":[13],"constrained":[14],"quadratic":[15],"programming":[16],"(QCQP)":[17],"which":[19],"is":[20,98],"very":[21],"difficult":[22],"to":[23,100],"solve":[24,101],"directly.":[25],"Generally,":[26],"by":[27,38],"transforming":[28],"a":[29,33,92],"QCQP":[30],"problem":[31,43,103],"into":[32],"semi-definite":[34],"program":[35],"(SDP)":[36],"and":[37],"relaxing":[39],"rank-one":[40,58,80,106],"constraints,":[41],"the":[42,60,79,102],"tackled":[46],"essentially.":[47],"If":[48],"resulting":[49],"matrices":[50],"found":[51],"after":[52],"solving":[53],"SDP":[54,82],"are":[56],"of":[57,78],"then":[59,105],"task":[61],"terminated.":[64],"However,":[65],"some":[67],"scenarios":[68],"such":[69],"minimizing":[71],"individual":[72],"power":[73],"constraints":[74],"on":[75],"relays,":[76],"most":[77],"dropped":[81],"solutions":[83,107],"have":[84],"rank":[85],"higher":[86],"than":[87],"one.":[88],"In":[89],"this":[90],"case,":[91],"nonsmooth":[93],"reverse":[94],"convex":[95],"optimization":[96],"technique":[97],"employed":[99],"iteratively":[104],"optimized":[110],"numerically.":[111],"\u00a9":[112],"2011":[113],"IEEE.":[114]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}