{"id":"https://openalex.org/W2167016211","doi":"https://doi.org/10.1109/wsa.2012.6181225","title":"Optimal and suboptimal beamforming for multi-operator two-way relaying with a MIMO amplify-and-forward relay","display_name":"Optimal and suboptimal beamforming for multi-operator two-way relaying with a MIMO amplify-and-forward relay","publication_year":2012,"publication_date":"2012-03-01","ids":{"openalex":"https://openalex.org/W2167016211","doi":"https://doi.org/10.1109/wsa.2012.6181225","mag":"2167016211"},"language":"en","primary_location":{"id":"doi:10.1109/wsa.2012.6181225","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wsa.2012.6181225","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 International ITG Workshop on Smart Antennas (WSA)","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/A5056583700","display_name":"Jianshu Zhang","orcid":"https://orcid.org/0000-0001-6536-2633"},"institutions":[{"id":"https://openalex.org/I119449181","display_name":"Technische Universit\u00e4t Ilmenau","ror":"https://ror.org/01weqhp73","country_code":"DE","type":"education","lineage":["https://openalex.org/I119449181"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jianshu Zhang","raw_affiliation_strings":["Communications Research Laboratory, Ilmenau University of Technology, Ilmenau, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Communications Research Laboratory, Ilmenau University of Technology, Ilmenau, Germany","institution_ids":["https://openalex.org/I119449181"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031933258","display_name":"Nils Bornhorst","orcid":null},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technische Universit\u00e4t Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Nils Bornhorst","raw_affiliation_strings":["Communication Systems Group, Technische Universit\u00e4t Darmstadt, Darmstadt, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Communication Systems Group, Technische Universit\u00e4t Darmstadt, Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032968609","display_name":"Florian Roemer","orcid":"https://orcid.org/0000-0002-6403-6489"},"institutions":[{"id":"https://openalex.org/I119449181","display_name":"Technische Universit\u00e4t Ilmenau","ror":"https://ror.org/01weqhp73","country_code":"DE","type":"education","lineage":["https://openalex.org/I119449181"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Florian Roemer","raw_affiliation_strings":["Communications Research Laboratory, Ilmenau University of Technology, Ilmenau, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Communications Research Laboratory, Ilmenau University of Technology, Ilmenau, Germany","institution_ids":["https://openalex.org/I119449181"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004533757","display_name":"Martin Haardt","orcid":"https://orcid.org/0000-0001-7810-975X"},"institutions":[{"id":"https://openalex.org/I119449181","display_name":"Technische Universit\u00e4t Ilmenau","ror":"https://ror.org/01weqhp73","country_code":"DE","type":"education","lineage":["https://openalex.org/I119449181"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Martin Haardt","raw_affiliation_strings":["Communications Research Laboratory, Ilmenau University of Technology, Ilmenau, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Communications Research Laboratory, Ilmenau University of Technology, Ilmenau, Germany","institution_ids":["https://openalex.org/I119449181"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001481378","display_name":"Marius Pesavento","orcid":"https://orcid.org/0000-0003-3395-2588"},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technische Universit\u00e4t Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Marius Pesavento","raw_affiliation_strings":["Communication Systems Group, Technische Universit\u00e4t Darmstadt, Darmstadt, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Communication Systems Group, Technische Universit\u00e4t Darmstadt, Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.8295,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.9247851,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"307","last_page":"311"},"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":0.9994999766349792,"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":0.9965999722480774,"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":0.8238774538040161},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.7946678400039673},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.7672735452651978},{"id":"https://openalex.org/keywords/transmitter-power-output","display_name":"Transmitter power output","score":0.6214350461959839},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6188366413116455},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.49705079197883606},{"id":"https://openalex.org/keywords/interference","display_name":"Interference (communication)","score":0.48278939723968506},{"id":"https://openalex.org/keywords/signal-to-noise-ratio","display_name":"Signal-to-noise ratio (imaging)","score":0.4426310956478119},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4379976987838745},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.34639209508895874},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.33895888924598694},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28417834639549255},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.27314499020576477},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.18852609395980835},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.12164139747619629}],"concepts":[{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.8238774538040161},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.7946678400039673},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.7672735452651978},{"id":"https://openalex.org/C65422117","wikidata":"https://www.wikidata.org/wiki/Q358527","display_name":"Transmitter power output","level":4,"score":0.6214350461959839},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6188366413116455},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.49705079197883606},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.48278939723968506},{"id":"https://openalex.org/C13944312","wikidata":"https://www.wikidata.org/wiki/Q7512748","display_name":"Signal-to-noise ratio (imaging)","level":2,"score":0.4426310956478119},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4379976987838745},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.34639209508895874},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.33895888924598694},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28417834639549255},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.27314499020576477},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.18852609395980835},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.12164139747619629},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/wsa.2012.6181225","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wsa.2012.6181225","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 International ITG Workshop on Smart Antennas (WSA)","raw_type":"proceedings-article"},{"id":"pmh:oai:tubiblio.ulb.tu-darmstadt.de:64796","is_oa":false,"landing_page_url":"http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6181225","pdf_url":null,"source":{"id":"https://openalex.org/S4377196390","display_name":"TUbilio (Technical University of Darmstadt)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I31512782","host_organization_name":"Technische Universit\u00e4t Darmstadt","host_organization_lineage":["https://openalex.org/I31512782"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Konferenzver\u00f6ffentlichung"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1996215314","https://openalex.org/W2088081804","https://openalex.org/W2099561974","https://openalex.org/W2107823572","https://openalex.org/W2122744491","https://openalex.org/W2145486800","https://openalex.org/W2296319761","https://openalex.org/W2494788590","https://openalex.org/W4250589301","https://openalex.org/W4285719527","https://openalex.org/W6723404136"],"related_works":["https://openalex.org/W3087844490","https://openalex.org/W3090699061","https://openalex.org/W4387546583","https://openalex.org/W2055634632","https://openalex.org/W2135767944","https://openalex.org/W2051762234","https://openalex.org/W2131408743","https://openalex.org/W1981368673","https://openalex.org/W2787827467","https://openalex.org/W4367031485"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"we":[3,85,132],"consider":[4],"optimal":[5,81,159],"and":[6,29,46,174],"suboptimal":[7],"beamforming":[8],"designs":[9],"in":[10],"a":[11,17,24,48,105,121,176],"multi-operator":[12],"two-way":[13],"relaying":[14],"network":[15,25],"with":[16,120],"multiple-input-multiple-output":[18],"(MIMO)":[19],"amplify-and-forward":[20],"(AF)":[21],"relay.":[22],"Such":[23],"is":[26,35,74,96,115],"interference":[27,32,44],"limited":[28],"thus,":[30],"an":[31],"nulling":[33,45],"strategy":[34],"reasonable.":[36],"We":[37],"first":[38,95],"derive":[39],"the":[40,53,78,92,99,116,149,152,158,162,168],"necessary":[41],"condition":[42],"for":[43,91],"introduce":[47],"closed-form":[49],"algebraic":[50],"solution,":[51],"i.e.,":[52],"projection":[54],"based":[55],"separation":[56],"of":[57,80,151,170],"multiple":[58],"operators":[59],"(ProBaSeMO).":[60],"This":[61],"solution":[62],"can":[63,137],"be":[64,138],"adjusted":[65],"to":[66,97,104,157],"satisfy":[67],"various":[68],"system":[69],"design":[70,79,89],"criteria.":[71],"However,":[72,131,161],"it":[73],"only":[75],"suboptimal.":[76],"For":[77],"relay":[82,100,122,171],"transmit":[83,101,123],"strategies,":[84],"study":[86],"two":[87,127],"QoS":[88],"criteria":[90],"network.":[93],"The":[94,113,145],"minimize":[98],"power":[102,124],"subject":[103],"signal-to-interference-plus-noise":[106],"ratio":[107],"(SINR)":[108],"constraints":[109],"at":[110],"each":[111],"user.":[112],"second":[114],"SINR":[117],"balancing":[118],"technique":[119,164],"constraint.":[125],"These":[126],"problems":[128,136],"are":[129],"non-convex.":[130],"show":[133],"that":[134],"both":[135],"efficiently":[139],"solved":[140],"using":[141],"convex":[142],"approximation":[143],"techniques.":[144],"simulation":[146],"results":[147],"verify":[148],"sub-optimality":[150],"ProBaSeMO":[153,163],"method":[154],"when":[155],"compared":[156],"designs.":[160],"approaches":[165],"optimality":[166],"as":[167],"number":[169],"antennas":[172],"increases":[173],"enjoys":[175],"significantly":[177],"reduced":[178],"computational":[179],"complexity.":[180]},"counts_by_year":[{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
