{"id":"https://openalex.org/W2275339208","doi":"https://doi.org/10.1109/tcomm.2015.2502941","title":"Energy-Efficient Zero-Forcing Precoding Design for Small-Cell Networks","display_name":"Energy-Efficient Zero-Forcing Precoding Design for Small-Cell Networks","publication_year":2015,"publication_date":"2015-11-23","ids":{"openalex":"https://openalex.org/W2275339208","doi":"https://doi.org/10.1109/tcomm.2015.2502941","mag":"2275339208"},"language":"en","primary_location":{"id":"doi:10.1109/tcomm.2015.2502941","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2015.2502941","pdf_url":null,"source":{"id":"https://openalex.org/S196647941","display_name":"IEEE Transactions on Communications","issn_l":"0090-6778","issn":["0090-6778","1558-0857"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Communications","raw_type":"journal-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/A5060107722","display_name":"Quang\u2010Doanh Vu","orcid":"https://orcid.org/0000-0002-9369-4990"},"institutions":[{"id":"https://openalex.org/I35928602","display_name":"Kyung Hee University","ror":"https://ror.org/01zqcg218","country_code":"KR","type":"education","lineage":["https://openalex.org/I35928602"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Quang-Doanh Vu","raw_affiliation_strings":["School of Electronics and Information, Kyung Hee University, Seoul, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronics and Information, Kyung Hee University, Seoul, South Korea","institution_ids":["https://openalex.org/I35928602"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008843672","display_name":"Le\u2010Nam Tran","orcid":"https://orcid.org/0000-0002-9317-9980"},"institutions":[{"id":"https://openalex.org/I157286207","display_name":"National University of Ireland, Maynooth","ror":"https://ror.org/048nfjm95","country_code":"IE","type":"education","lineage":["https://openalex.org/I157286207"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"Le-Nam Tran","raw_affiliation_strings":["Department of Electronic Engineering, Maynooth University, Maynooth, Co. Kildare, Ireland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Maynooth University, Maynooth, Co. Kildare, Ireland","institution_ids":["https://openalex.org/I157286207"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041927134","display_name":"Ronan Farrell","orcid":"https://orcid.org/0000-0002-2507-794X"},"institutions":[{"id":"https://openalex.org/I157286207","display_name":"National University of Ireland, Maynooth","ror":"https://ror.org/048nfjm95","country_code":"IE","type":"education","lineage":["https://openalex.org/I157286207"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"Ronan Farrell","raw_affiliation_strings":["Department of Electronic Engineering, Maynooth University, Maynooth, Co. Kildare, Ireland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Maynooth University, Maynooth, Co. Kildare, Ireland","institution_ids":["https://openalex.org/I157286207"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075905746","display_name":"Een\u2010Kee Hong","orcid":"https://orcid.org/0000-0001-5086-4008"},"institutions":[{"id":"https://openalex.org/I35928602","display_name":"Kyung Hee University","ror":"https://ror.org/01zqcg218","country_code":"KR","type":"education","lineage":["https://openalex.org/I35928602"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Een-Kee Hong","raw_affiliation_strings":["School of Electronics and Information, Kyung Hee University, Seoul, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronics and Information, Kyung Hee University, Seoul, South Korea","institution_ids":["https://openalex.org/I35928602"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.3315,"has_fulltext":false,"cited_by_count":45,"citation_normalized_percentile":{"value":0.94684183,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"64","issue":"2","first_page":"790","last_page":"804"},"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":0.9998000264167786,"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/T11392","display_name":"Energy Harvesting in Wireless Networks","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"}}],"keywords":[{"id":"https://openalex.org/keywords/precoding","display_name":"Precoding","score":0.7395567297935486},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6593404412269592},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6098144054412842},{"id":"https://openalex.org/keywords/fractional-programming","display_name":"Fractional programming","score":0.5105401277542114},{"id":"https://openalex.org/keywords/base-station","display_name":"Base station","score":0.4606274664402008},{"id":"https://openalex.org/keywords/greedy-algorithm","display_name":"Greedy algorithm","score":0.45622119307518005},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.45337599515914917},{"id":"https://openalex.org/keywords/zero-forcing-precoding","display_name":"Zero-forcing precoding","score":0.4392542541027069},{"id":"https://openalex.org/keywords/quality-of-service","display_name":"Quality of service","score":0.43904590606689453},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.41343462467193604},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.3332563042640686},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33250361680984497},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.27178800106048584},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.2605450451374054},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25903502106666565},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.13486257195472717}],"concepts":[{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.7395567297935486},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6593404412269592},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6098144054412842},{"id":"https://openalex.org/C169069869","wikidata":"https://www.wikidata.org/wiki/Q5477546","display_name":"Fractional programming","level":4,"score":0.5105401277542114},{"id":"https://openalex.org/C68649174","wikidata":"https://www.wikidata.org/wiki/Q1379116","display_name":"Base station","level":2,"score":0.4606274664402008},{"id":"https://openalex.org/C51823790","wikidata":"https://www.wikidata.org/wiki/Q504353","display_name":"Greedy algorithm","level":2,"score":0.45622119307518005},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.45337599515914917},{"id":"https://openalex.org/C155437304","wikidata":"https://www.wikidata.org/wiki/Q8069444","display_name":"Zero-forcing precoding","level":5,"score":0.4392542541027069},{"id":"https://openalex.org/C5119721","wikidata":"https://www.wikidata.org/wiki/Q220501","display_name":"Quality of service","level":2,"score":0.43904590606689453},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.41343462467193604},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.3332563042640686},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33250361680984497},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.27178800106048584},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2605450451374054},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25903502106666565},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.13486257195472717},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tcomm.2015.2502941","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2015.2502941","pdf_url":null,"source":{"id":"https://openalex.org/S196647941","display_name":"IEEE Transactions on Communications","issn_l":"0090-6778","issn":["0090-6778","1558-0857"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Communications","raw_type":"journal-article"},{"id":"pmh:oai:eprints.maynoothuniversity.ie:9573","is_oa":false,"landing_page_url":"http://eprints.maynoothuniversity.ie/9573/1/RF-Energy-efficient-2016.pdf","pdf_url":"http://eprints.maynoothuniversity.ie/9573/1/RF-Energy-efficient-2016.pdf","source":{"id":"https://openalex.org/S4306401432","display_name":"Maynooth University ePrints and eTheses Archive (Maynooth University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I157286207","host_organization_name":"National University of Ireland, Maynooth","host_organization_lineage":["https://openalex.org/I157286207"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:mural.maynoothuniversity.ie:9573","is_oa":false,"landing_page_url":"https://mural.maynoothuniversity.ie/id/eprint/9573/1/RF-Energy-efficient-2016.pdf","pdf_url":"https://mural.maynoothuniversity.ie/id/eprint/9573/1/RF-Energy-efficient-2016.pdf","source":{"id":"https://openalex.org/S4306401432","display_name":"Maynooth University ePrints and eTheses Archive (Maynooth University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I157286207","host_organization_name":"National University of Ireland, Maynooth","host_organization_lineage":["https://openalex.org/I157286207"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8999999761581421,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G6303967570","display_name":null,"funder_award_id":"NRF-2012K1A3A1A26034927","funder_id":"https://openalex.org/F4320322030","funder_display_name":"Ministry of Science, ICT and Future Planning"}],"funders":[{"id":"https://openalex.org/F4320320847","display_name":"Science Foundation Ireland","ror":"https://ror.org/0271asj38"},{"id":"https://openalex.org/F4320322030","display_name":"Ministry of Science, ICT and Future Planning","ror":"https://ror.org/032e49973"},{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W603729728","https://openalex.org/W1568307856","https://openalex.org/W1583497301","https://openalex.org/W1964730816","https://openalex.org/W1967956032","https://openalex.org/W1982497740","https://openalex.org/W1982777608","https://openalex.org/W1990322756","https://openalex.org/W1999913571","https://openalex.org/W2015482593","https://openalex.org/W2021544398","https://openalex.org/W2024318675","https://openalex.org/W2030546921","https://openalex.org/W2031007827","https://openalex.org/W2047181446","https://openalex.org/W2053596819","https://openalex.org/W2062519854","https://openalex.org/W2074796812","https://openalex.org/W2079587612","https://openalex.org/W2086476536","https://openalex.org/W2093631020","https://openalex.org/W2096380022","https://openalex.org/W2098126478","https://openalex.org/W2105235982","https://openalex.org/W2112225694","https://openalex.org/W2124568462","https://openalex.org/W2126087318","https://openalex.org/W2130891087","https://openalex.org/W2137365207","https://openalex.org/W2143021984","https://openalex.org/W2147056723","https://openalex.org/W2152481521","https://openalex.org/W2156577211","https://openalex.org/W2162986857","https://openalex.org/W2163762663","https://openalex.org/W2164278908","https://openalex.org/W3098923864","https://openalex.org/W3103450255","https://openalex.org/W4231664753","https://openalex.org/W4250589301","https://openalex.org/W4292363360"],"related_works":["https://openalex.org/W2111825998","https://openalex.org/W2326544815","https://openalex.org/W1973158664","https://openalex.org/W1731022149","https://openalex.org/W1996933839","https://openalex.org/W2000226056","https://openalex.org/W4386858283","https://openalex.org/W3190864439","https://openalex.org/W1993945082","https://openalex.org/W3192916075"],"abstract_inverted_index":{"We":[0],"consider":[1],"small-cell":[2],"networks":[3],"with":[4],"multiple-antenna":[5],"transceivers":[6],"and":[7,28,148,158],"base":[8],"stations":[9],"(BSs)":[10],"cooperating":[11],"to":[12,17,24,58,110,188],"jointly":[13],"design":[14,79,147],"linear":[15],"precoders":[16],"maximize":[18],"the":[19,49,68,78,92,134,142,166,190,193],"network":[20],"energy":[21],"efficiency,":[22],"subject":[23],"a":[25,54,62,103,153,174],"sum":[26],"power":[27,30],"per-antenna":[29],"constraints":[31],"at":[32],"individual":[33],"BSs,":[34],"as":[35,37,53],"well":[36],"user-specific":[38],"quality":[39],"of":[40,51,94,98,144,192],"service":[41],"(QoS)":[42],"requirements.":[43],"Assuming":[44],"zero-forcing":[45],"precoding,":[46],"we":[47,60,76,101,140,172],"formulate":[48],"problem":[50,80,143],"interest":[52],"concave-convex":[55],"fractional":[56],"program":[57,85],"which":[59,106,151,177],"proposed":[61,194],"centralized":[63],"optimal":[64,162],"solution":[65,163],"based":[66,90],"on":[67,91],"prevailing":[69],"Dinkelbach":[70],"algorithm.":[71],"To":[72],"facilitate":[73],"distributed":[74],"implementations,":[75],"transform":[77],"into":[81],"an":[82,161],"equivalent":[83],"convex":[84],"using":[86],"Charnes-Cooper's":[87],"transformation.":[88],"Then,":[89],"framework":[93],"alternative":[95],"direction":[96],"method":[97],"multipliers":[99],"(ADMM),":[100],"develop":[102],"decentralized":[104],"algorithm,":[105],"is":[107,152],"numerically":[108],"shown":[109],"achieve":[111],"fast":[112],"convergence.":[113],"Since":[114],"BSs":[115,126],"are":[116,186],"generally":[117],"power-hungry,":[118],"it":[119],"may":[120],"be":[121,128],"more":[122],"energy-efficient":[123],"if":[124],"some":[125],"can":[127],"shut":[129],"down,":[130],"while":[131],"still":[132],"satisfying":[133],"QoS":[135],"constraints.":[136],"Toward":[137],"this":[138],"end,":[139],"investigate":[141],"joint":[145],"precoder":[146],"BS":[149],"selection,":[150],"mixed":[154],"Boolean":[155],"nonlinear":[156],"program,":[157],"then":[159],"provide":[160],"by":[164],"customizing":[165],"branch-and-bound":[167],"method.":[168],"For":[169],"real-time":[170],"applications,":[171],"propose":[173],"greedy":[175],"algorithm":[176],"achieves":[178],"near-optimal":[179],"performance":[180],"in":[181],"polynomial":[182],"time.":[183],"Numerical":[184],"results":[185],"provided":[187],"demonstrate":[189],"effectiveness":[191],"algorithms.":[195]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":12},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":7}],"updated_date":"2026-08-11T07:18:39.950985","created_date":"2025-10-10T00:00:00"}