{"id":"https://openalex.org/W2093512560","doi":"https://doi.org/10.1109/pimrc.2011.6139871","title":"Sum MSE optimization for downlink multiuser MIMO systems with per antenna power constraint: Downlink-uplink duality approach","display_name":"Sum MSE optimization for downlink multiuser MIMO systems with per antenna power constraint: Downlink-uplink duality approach","publication_year":2011,"publication_date":"2011-09-01","ids":{"openalex":"https://openalex.org/W2093512560","doi":"https://doi.org/10.1109/pimrc.2011.6139871","mag":"2093512560"},"language":"en","primary_location":{"id":"doi:10.1109/pimrc.2011.6139871","is_oa":false,"landing_page_url":"https://doi.org/10.1109/pimrc.2011.6139871","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE 22nd International Symposium on Personal, Indoor and Mobile Radio Communications","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/A5033914007","display_name":"Tadilo Endeshaw Bogale","orcid":"https://orcid.org/0000-0003-1332-8542"},"institutions":[{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Tadilo Endeshaw Bogale","raw_affiliation_strings":["ICTEAM Institute, Universit\u00e9 catholique de Louvain, Louvain-la-Neuve, Belgium","ICTEAM Institute, Universite Catholique de Louvain Place du Levant 2, B-1348 Louvain la Neuve, Belgium"],"affiliations":[{"raw_affiliation_string":"ICTEAM Institute, Universit\u00e9 catholique de Louvain, Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]},{"raw_affiliation_string":"ICTEAM Institute, Universite Catholique de Louvain Place du Levant 2, B-1348 Louvain la Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000909128","display_name":"Luc Vandendorpe","orcid":"https://orcid.org/0000-0003-4958-8848"},"institutions":[{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Luc Vandendorpe","raw_affiliation_strings":["ICTEAM Institute, Universit\u00e9 catholique de Louvain, Louvain-la-Neuve, Belgium","ICTEAM Institute, Universite Catholique de Louvain Place du Levant 2, B-1348 Louvain la Neuve, Belgium"],"affiliations":[{"raw_affiliation_string":"ICTEAM Institute, Universit\u00e9 catholique de Louvain, Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]},{"raw_affiliation_string":"ICTEAM Institute, Universite Catholique de Louvain Place du Levant 2, B-1348 Louvain la Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5033914007"],"corresponding_institution_ids":["https://openalex.org/I95674353"],"apc_list":null,"apc_paid":null,"fwci":2.3847,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.89486486,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"56","issue":null,"first_page":"2035","last_page":"2039"},"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":0.9969000220298767,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9954000115394592,"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/telecommunications-link","display_name":"Telecommunications link","score":0.9260173439979553},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.7254685759544373},{"id":"https://openalex.org/keywords/complex-normal-distribution","display_name":"Complex normal distribution","score":0.6260303854942322},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6031370162963867},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.5789187550544739},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5231412649154663},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.5004127025604248},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47556203603744507},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4068838357925415},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30753713846206665},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.2893980145454407},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.2738039791584015},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.14791324734687805},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.11791488528251648},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06936225295066833}],"concepts":[{"id":"https://openalex.org/C138660444","wikidata":"https://www.wikidata.org/wiki/Q5607897","display_name":"Telecommunications link","level":2,"score":0.9260173439979553},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.7254685759544373},{"id":"https://openalex.org/C201080289","wikidata":"https://www.wikidata.org/wiki/Q5156587","display_name":"Complex normal distribution","level":3,"score":0.6260303854942322},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6031370162963867},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.5789187550544739},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5231412649154663},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.5004127025604248},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47556203603744507},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4068838357925415},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30753713846206665},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.2893980145454407},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.2738039791584015},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.14791324734687805},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.11791488528251648},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06936225295066833},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/pimrc.2011.6139871","is_oa":false,"landing_page_url":"https://doi.org/10.1109/pimrc.2011.6139871","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE 22nd International Symposium on Personal, Indoor and Mobile Radio Communications","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1538680529","https://openalex.org/W1976109068","https://openalex.org/W2075820788","https://openalex.org/W2098988750","https://openalex.org/W2101727634","https://openalex.org/W2108687047","https://openalex.org/W2111805192","https://openalex.org/W2115908423","https://openalex.org/W2117519135","https://openalex.org/W2124809476","https://openalex.org/W2132201981","https://openalex.org/W2153110099","https://openalex.org/W2166388836","https://openalex.org/W2296319761","https://openalex.org/W4250589301"],"related_works":["https://openalex.org/W2548963335","https://openalex.org/W2159941915","https://openalex.org/W1995129237","https://openalex.org/W1761601995","https://openalex.org/W4300468626","https://openalex.org/W2153110099","https://openalex.org/W2108933226","https://openalex.org/W1583389059","https://openalex.org/W2511293210","https://openalex.org/W2162252465"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"transceiver":[3],"design":[4],"problem":[5,30,74,115],"for":[6,33],"downlink":[7,118,144],"multiuser":[8],"multiple-input":[9],"multiple-output":[10],"(MIMO)":[11],"systems.":[12],"We":[13,60],"examine":[14],"minimization":[15],"of":[16,42,97,113,133,164],"sum":[17,83],"mean-square-error":[18],"(MSE)":[19],"constrained":[20],"with":[21,56],"each":[22,43,114],"base":[23],"station":[24,45],"(BS)":[25],"antenna":[26],"power":[27,110,161],"problem.":[28,72,145],"The":[29,73],"is":[31,47,75,89],"examined":[32],"the":[34,39,71,93,98,109,117,127,131,142,154],"practically":[35],"relevant":[36],"scenario":[37],"where":[38],"noise":[40,94],"vector":[41],"mobile":[44],"(MS)":[46],"a":[48,62,102,121],"zero-mean":[49],"circularly":[50],"symmetric":[51],"complex":[52],"Gaussian":[53],"random":[54],"variable":[55],"arbitrary":[57],"covariance":[58,95],"matrix.":[59],"propose":[61],"novel":[63,82],"downlink-uplink":[64,85],"duality":[65,88,128,156],"based":[66,157],"iterative":[67],"solution":[68,132,158],"to":[69,140],"solve":[70,141],"solved":[76],"as":[77,101,120],"follows.":[78],"First,":[79],"we":[80,107,135,150],"establish":[81],"MSE":[84],"duality.":[86],"Our":[87],"established":[90],"by":[91],"formulating":[92],"matrix":[96],"uplink":[99],"channel":[100,119],"fixed":[103],"point":[104],"function.":[105],"Second,":[106],"formulate":[108],"allocation":[111],"part":[112],"in":[116],"Geometric":[122],"Program":[123],"(GP).":[124],"Third,":[125],"using":[126],"result":[129],"and":[130],"GP,":[134],"utilize":[136],"alternating":[137],"optimization":[138],"technique":[139],"original":[143],"In":[146],"our":[147],"simulation":[148],"results,":[149],"have":[151],"observed":[152],"that":[153,163],"proposed":[155],"utilizes":[159],"less":[160],"than":[162],"existing":[165],"algorithm.":[166]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}