{"id":"https://openalex.org/W4285285290","doi":"https://doi.org/10.1109/tvt.2022.3182546","title":"On the MIMO Capacity With Joint Sum and Per-Antenna Power Constraints: A New Efficient Numerical Method","display_name":"On the MIMO Capacity With Joint Sum and Per-Antenna Power Constraints: A New Efficient Numerical Method","publication_year":2022,"publication_date":"2022-06-13","ids":{"openalex":"https://openalex.org/W4285285290","doi":"https://doi.org/10.1109/tvt.2022.3182546"},"language":"en","primary_location":{"id":"doi:10.1109/tvt.2022.3182546","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2022.3182546","pdf_url":null,"source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["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 Vehicular Technology","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/A5057214016","display_name":"Thuy M. Pham","orcid":"https://orcid.org/0000-0002-2821-7442"},"institutions":[{"id":"https://openalex.org/I4210113131","display_name":"Barkhausen Institute","ror":"https://ror.org/0260qqv98","country_code":"DE","type":"facility","lineage":["https://openalex.org/I4210113131"]},{"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":["DE","IE"],"is_corresponding":true,"raw_author_name":"Thuy M. Pham","raw_affiliation_strings":["Department of Electronic Engineering, Maynooth University, Maynooth, Ireland","Barkhausen Institut gGmbH, Dresden, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Maynooth University, Maynooth, Ireland","institution_ids":["https://openalex.org/I157286207"]},{"raw_affiliation_string":"Barkhausen Institut gGmbH, Dresden, Germany","institution_ids":["https://openalex.org/I4210113131"]}]},{"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, Ireland"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Maynooth University, Maynooth, Ireland","institution_ids":["https://openalex.org/I157286207"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042709606","display_name":"Holger Clau\u00dfen","orcid":"https://orcid.org/0000-0003-2045-2082"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Holger Claussen","raw_affiliation_strings":["Tyndall National Institute, Cork, Ireland"],"affiliations":[{"raw_affiliation_string":"Tyndall National Institute, Cork, Ireland","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014330907","display_name":"Mark F. Flanagan","orcid":"https://orcid.org/0000-0001-6552-7020"},"institutions":[{"id":"https://openalex.org/I100930933","display_name":"University College Dublin","ror":"https://ror.org/05m7pjf47","country_code":"IE","type":"education","lineage":["https://openalex.org/I100930933"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"Mark F. Flanagan","raw_affiliation_strings":["School of Electrical and Electronic Engineering, University College Dublin, Dublin, Ireland"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, University College Dublin, Dublin, Ireland","institution_ids":["https://openalex.org/I100930933"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008843672","display_name":"Le\u2010Nam Tran","orcid":"https://orcid.org/0000-0002-9317-9980"},"institutions":[{"id":"https://openalex.org/I100930933","display_name":"University College Dublin","ror":"https://ror.org/05m7pjf47","country_code":"IE","type":"education","lineage":["https://openalex.org/I100930933"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"Le-Nam Tran","raw_affiliation_strings":["School of Electrical and Electronic Engineering, University College Dublin, Dublin, Ireland"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, University College Dublin, Dublin, Ireland","institution_ids":["https://openalex.org/I100930933"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5057214016"],"corresponding_institution_ids":["https://openalex.org/I157286207","https://openalex.org/I4210113131"],"apc_list":null,"apc_paid":null,"fwci":0.183,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.46731551,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"71","issue":"9","first_page":"10179","last_page":"10184"},"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":0.9995999932289124,"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"}},{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","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"}}],"keywords":[{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.7430675029754639},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6414855122566223},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5549785494804382},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5275038480758667},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5271408557891846},{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.5113419890403748},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.4949004054069519},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.472153902053833},{"id":"https://openalex.org/keywords/transmitter-power-output","display_name":"Transmitter power output","score":0.4669203758239746},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4548812508583069},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4436197280883789},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3374408185482025},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32602977752685547},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32459890842437744},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.12418603897094727},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.0735662579536438}],"concepts":[{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.7430675029754639},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6414855122566223},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5549785494804382},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5275038480758667},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5271408557891846},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.5113419890403748},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.4949004054069519},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.472153902053833},{"id":"https://openalex.org/C65422117","wikidata":"https://www.wikidata.org/wiki/Q358527","display_name":"Transmitter power output","level":4,"score":0.4669203758239746},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4548812508583069},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4436197280883789},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3374408185482025},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32602977752685547},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32459890842437744},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.12418603897094727},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.0735662579536438},{"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},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tvt.2022.3182546","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2022.3182546","pdf_url":null,"source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["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 Vehicular Technology","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.6299999952316284,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G2675540402","display_name":null,"funder_award_id":"17/CDA/4786","funder_id":"https://openalex.org/F4320320847","funder_display_name":"Science Foundation Ireland"},{"id":"https://openalex.org/G5520905213","display_name":null,"funder_award_id":"17/US/3445","funder_id":"https://openalex.org/F4320320847","funder_display_name":"Science Foundation Ireland"}],"funders":[{"id":"https://openalex.org/F4320320847","display_name":"Science Foundation Ireland","ror":"https://ror.org/0271asj38"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1667950888","https://openalex.org/W1967073510","https://openalex.org/W1970400141","https://openalex.org/W1999913571","https://openalex.org/W2019562862","https://openalex.org/W2101727634","https://openalex.org/W2129562390","https://openalex.org/W2130509920","https://openalex.org/W2131333812","https://openalex.org/W2187352479","https://openalex.org/W2346131320","https://openalex.org/W2595209175","https://openalex.org/W2664838204","https://openalex.org/W2768125496","https://openalex.org/W2885007883","https://openalex.org/W2887405666","https://openalex.org/W2889492357","https://openalex.org/W2900619600","https://openalex.org/W2940980277","https://openalex.org/W2963908397","https://openalex.org/W3111166378","https://openalex.org/W4250589301"],"related_works":["https://openalex.org/W2074145420","https://openalex.org/W2915576678","https://openalex.org/W2756132392","https://openalex.org/W2773948804","https://openalex.org/W3035814349","https://openalex.org/W4285101096","https://openalex.org/W4320477335","https://openalex.org/W2518949622","https://openalex.org/W4382725876","https://openalex.org/W2084892497"],"abstract_inverted_index":{"We":[0,111],"propose":[1],"a":[2,16,21,123,128],"semi-closed-form":[3],"solution":[4,125],"to":[5,35,42,75,121],"the":[6,10,66,77,87,90,94,101,114,118,142],"problem":[7,38,79,103,120],"of":[8,89,117,147],"computing":[9],"capacity":[11],"and":[12,27,149],"optimal":[13,63],"signaling":[14],"for":[15],"Gaussian":[17],"MIMO":[18,54],"channel":[19,91],"under":[20],"joint":[22],"sum":[23],"power":[24,29],"constraint":[25,30],"(SPC)":[26],"per-antenna":[28],"(PAPC).":[31],"Existing":[32],"efficient":[33,72],"solutions":[34,144],"this":[36],"fundamental":[37],"are":[39],"only":[40],"applicable":[41],"some":[43],"special":[44,115],"cases:":[45],"multiple-input":[46],"single-output":[47],"(MISO)":[48],"systems,":[49],"or":[50,61,93],"full":[51],"column":[52],"rank":[53,88],"channels":[55],"with":[56],"sufficiently":[57],"high":[58],"transmit":[59,96],"power,":[60],"full-rank":[62],"signaling.":[64],"For":[65],"general":[67],"case,":[68],"we":[69],"present":[70],"an":[71,107],"numerical":[73],"method":[74],"solve":[76],"considered":[78,102],"which":[80],"does":[81],"not":[82],"make":[83],"any":[84],"assumptions":[85],"on":[86,127],"matrix":[92],"maximum":[95],"power.":[97],"To":[98],"achieve":[99],"this,":[100],"is":[104],"transformed":[105],"into":[106],"equivalent":[108],"minimax":[109,119],"problem.":[110],"then":[112],"exploit":[113],"structure":[116],"derive":[122],"closed-form":[124],"based":[126],"concave-convex":[129],"procedure":[130],"(CCP)-like":[131],"algorithm.":[132],"Extensive":[133],"simulation":[134],"results":[135],"show":[136],"that":[137],"our":[138],"proposed":[139],"algorithm":[140],"outperforms":[141],"existing":[143],"in":[145],"terms":[146],"complexity":[148],"generality.":[150]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
