{"id":"https://openalex.org/W2088747441","doi":"https://doi.org/10.1109/wsa.2011.5741942","title":"Gradient-based rate balancing for MIMO broadcast channels with linear precoding","display_name":"Gradient-based rate balancing for MIMO broadcast channels with linear precoding","publication_year":2011,"publication_date":"2011-02-01","ids":{"openalex":"https://openalex.org/W2088747441","doi":"https://doi.org/10.1109/wsa.2011.5741942","mag":"2088747441"},"language":"en","primary_location":{"id":"doi:10.1109/wsa.2011.5741942","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wsa.2011.5741942","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 International ITG Workshop on Smart Antennas","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/A5046690505","display_name":"Christoph Hellings","orcid":"https://orcid.org/0000-0002-9929-9684"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Christoph Hellings","raw_affiliation_strings":["Associate Institute for Signal Processing, Technische Universit\u00e4t M\u00fcnchen, Munich, Germany","Associate Institute for Signal Processing, Technische Universit\u00e4t M\u00fcnchen, 80290 Munich, Germany"],"affiliations":[{"raw_affiliation_string":"Associate Institute for Signal Processing, Technische Universit\u00e4t M\u00fcnchen, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"Associate Institute for Signal Processing, Technische Universit\u00e4t M\u00fcnchen, 80290 Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064978816","display_name":"Michael Joham","orcid":"https://orcid.org/0000-0003-2689-4121"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Michael Joham","raw_affiliation_strings":["Associate Institute for Signal Processing, Technische Universit\u00e4t M\u00fcnchen, Munich, Germany","Associate Institute for Signal Processing, Technische Universit\u00e4t M\u00fcnchen, 80290 Munich, Germany"],"affiliations":[{"raw_affiliation_string":"Associate Institute for Signal Processing, Technische Universit\u00e4t M\u00fcnchen, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"Associate Institute for Signal Processing, Technische Universit\u00e4t M\u00fcnchen, 80290 Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004140094","display_name":"Wolfgang Utschick","orcid":"https://orcid.org/0000-0002-2871-4246"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Wolfgang Utschick","raw_affiliation_strings":["Associate Institute for Signal Processing, Technische Universit\u00e4t M\u00fcnchen, Munich, Germany","Associate Institute for Signal Processing, Technische Universit\u00e4t M\u00fcnchen, 80290 Munich, Germany"],"affiliations":[{"raw_affiliation_string":"Associate Institute for Signal Processing, Technische Universit\u00e4t M\u00fcnchen, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"Associate Institute for Signal Processing, Technische Universit\u00e4t M\u00fcnchen, 80290 Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5046690505"],"corresponding_institution_ids":["https://openalex.org/I62916508"],"apc_list":null,"apc_paid":null,"fwci":1.5898,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.8495375,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"3","issue":null,"first_page":"1","last_page":"8"},"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/T11392","display_name":"Energy Harvesting in Wireless Networks","score":0.9990000128746033,"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/T11409","display_name":"Advanced Wireless Network Optimization","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"}}],"keywords":[{"id":"https://openalex.org/keywords/precoding","display_name":"Precoding","score":0.7876976728439331},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.7679502964019775},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5851120352745056},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5066516995429993},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48815351724624634},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.47678613662719727},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.45158228278160095},{"id":"https://openalex.org/keywords/minimum-mean-square-error","display_name":"Minimum mean square error","score":0.4510957896709442},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.42550918459892273},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3797896206378937},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.32787632942199707},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.29009783267974854},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.20127668976783752},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10197687149047852}],"concepts":[{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.7876976728439331},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.7679502964019775},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5851120352745056},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5066516995429993},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48815351724624634},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.47678613662719727},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.45158228278160095},{"id":"https://openalex.org/C90652560","wikidata":"https://www.wikidata.org/wiki/Q11091747","display_name":"Minimum mean square error","level":3,"score":0.4510957896709442},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.42550918459892273},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3797896206378937},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.32787632942199707},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.29009783267974854},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.20127668976783752},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10197687149047852},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/wsa.2011.5741942","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wsa.2011.5741942","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 International ITG Workshop on Smart Antennas","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.41999998688697815,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1542938076","https://openalex.org/W1919846929","https://openalex.org/W1935748667","https://openalex.org/W1974598848","https://openalex.org/W2049569101","https://openalex.org/W2094438648","https://openalex.org/W2102920145","https://openalex.org/W2103749601","https://openalex.org/W2105857076","https://openalex.org/W2122991517","https://openalex.org/W2123495260","https://openalex.org/W2124918853","https://openalex.org/W2132201981","https://openalex.org/W2136717506","https://openalex.org/W2138452163","https://openalex.org/W2142058474","https://openalex.org/W2143927285","https://openalex.org/W2161473225","https://openalex.org/W2188847119","https://openalex.org/W2313299119","https://openalex.org/W2540169163","https://openalex.org/W2801179766","https://openalex.org/W3100696645","https://openalex.org/W4300223101","https://openalex.org/W6662969904"],"related_works":["https://openalex.org/W2489379490","https://openalex.org/W2141031289","https://openalex.org/W1997240170","https://openalex.org/W2756132392","https://openalex.org/W4285101096","https://openalex.org/W4382725876","https://openalex.org/W2084892497","https://openalex.org/W2115614142","https://openalex.org/W4320477335","https://openalex.org/W1561889708"],"abstract_inverted_index":{"The":[0],"rate":[1,20],"balancing":[2],"problem":[3],"is":[4,27],"considered":[5,64],"in":[6,51],"the":[7,25,36,44,55,63],"multiple-input":[8],"single-output":[9],"(MIMO)":[10],"broadcast":[11],"channel":[12],"with":[13],"linear":[14],"transceivers.":[15],"After":[16],"introducing":[17],"relative":[18],"per-stream":[19],"targets":[21],"as":[22],"auxiliary":[23],"variables,":[24],"optimization":[26,66],"performed":[28],"by":[29],"a":[30,79,83],"gradient":[31],"projection":[32],"algorithm.":[33,86],"In":[34],"addition,":[35],"transmit":[37],"and":[38,43],"receive":[39],"filters":[40],"are":[41,49],"updated":[42],"mean":[45],"square":[46],"error":[47],"matrices":[48],"diagonalized":[50],"each":[52],"iteration.":[53],"Although":[54],"algorithm":[56],"can":[57],"only":[58],"find":[59],"local":[60],"optima":[61],"of":[62],"non-convex":[65],"problem,":[67],"numerical":[68],"simulations":[69],"show":[70],"that":[71],"it":[72,77],"achieves":[73],"good":[74],"performance":[75],"while":[76],"has":[78],"lower":[80],"complexity":[81],"than":[82],"comparable":[84],"existing":[85]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
