{"id":"https://openalex.org/W2400075630","doi":"https://doi.org/10.1109/tcomm.2016.2569085","title":"On the Capacity of Multiple-Antenna Systems and Parallel Gaussian Channels With Amplitude-Limited Inputs","display_name":"On the Capacity of Multiple-Antenna Systems and Parallel Gaussian Channels With Amplitude-Limited Inputs","publication_year":2016,"publication_date":"2016-05-16","ids":{"openalex":"https://openalex.org/W2400075630","doi":"https://doi.org/10.1109/tcomm.2016.2569085","mag":"2400075630"},"language":"en","primary_location":{"id":"doi:10.1109/tcomm.2016.2569085","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2016.2569085","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":true,"oa_status":"green","oa_url":"https://repository.bilkent.edu.tr/bitstreams/58810cab-23f3-449b-8808-06424514d7cb/download","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048855344","display_name":"Ahmad ElMoslimany","orcid":"https://orcid.org/0000-0002-6762-0023"},"institutions":[{"id":"https://openalex.org/I4210095672","display_name":"Polaris (United States)","ror":"https://ror.org/00tct5242","country_code":"US","type":"company","lineage":["https://openalex.org/I4210095672"]},{"id":"https://openalex.org/I55732556","display_name":"Arizona State University","ror":"https://ror.org/03efmqc40","country_code":"US","type":"education","lineage":["https://openalex.org/I55732556"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ahmad ElMoslimany","raw_affiliation_strings":["Polaris Wireless, Mountain View, CA, USA","School of Electrical, Computer and Energy Engineering, Arizona State University, Tempe, AZ, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Polaris Wireless, Mountain View, CA, USA","institution_ids":["https://openalex.org/I4210095672"]},{"raw_affiliation_string":"School of Electrical, Computer and Energy Engineering, Arizona State University, Tempe, AZ, USA","institution_ids":["https://openalex.org/I55732556"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048023330","display_name":"Tolga M. Duman","orcid":"https://orcid.org/0000-0002-5187-8660"},"institutions":[{"id":"https://openalex.org/I168864056","display_name":"Bilkent University","ror":"https://ror.org/02vh8a032","country_code":"TR","type":"education","lineage":["https://openalex.org/I168864056"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Tolga M. Duman","raw_affiliation_strings":["Department of Electrical and Electronics Engineering, Bilkent University, Ankara, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronics Engineering, Bilkent University, Ankara, Turkey","institution_ids":["https://openalex.org/I168864056"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3206,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.81252648,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"64","issue":"7","first_page":"2888","last_page":"2899"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9983000159263611,"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":0.9969000220298767,"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":0.7619285583496094},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.6958584189414978},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6019493937492371},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5989673137664795},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5495032072067261},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5377429127693176},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.49431395530700684},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.48204001784324646},{"id":"https://openalex.org/keywords/expression","display_name":"Expression (computer science)","score":0.4712786078453064},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.46054524183273315},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.46031424403190613},{"id":"https://openalex.org/keywords/antenna","display_name":"Antenna (radio)","score":0.45283082127571106},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.43162816762924194},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.41474050283432007},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.41417255997657776},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.367436945438385},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35848748683929443},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2570546567440033},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2415485978126526},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.22696030139923096},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09976914525032043},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07507136464118958}],"concepts":[{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.7619285583496094},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.6958584189414978},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6019493937492371},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5989673137664795},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5495032072067261},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5377429127693176},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.49431395530700684},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.48204001784324646},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.4712786078453064},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.46054524183273315},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.46031424403190613},{"id":"https://openalex.org/C21822782","wikidata":"https://www.wikidata.org/wiki/Q131214","display_name":"Antenna (radio)","level":2,"score":0.45283082127571106},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.43162816762924194},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.41474050283432007},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.41417255997657776},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.367436945438385},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35848748683929443},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2570546567440033},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2415485978126526},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.22696030139923096},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09976914525032043},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07507136464118958},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcomm.2016.2569085","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2016.2569085","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:repository.bilkent.edu.tr:11693/37691","is_oa":true,"landing_page_url":"http://hdl.handle.net/11693/37691","pdf_url":"https://repository.bilkent.edu.tr/bitstreams/58810cab-23f3-449b-8808-06424514d7cb/download","source":{"id":"https://openalex.org/S4306400079","display_name":"Bilkent University Institutional Repository (Bilkent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I168864056","host_organization_name":"Bilkent University","host_organization_lineage":["https://openalex.org/I168864056"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Communications","raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:repository.bilkent.edu.tr:11693/37691","is_oa":true,"landing_page_url":"http://hdl.handle.net/11693/37691","pdf_url":"https://repository.bilkent.edu.tr/bitstreams/58810cab-23f3-449b-8808-06424514d7cb/download","source":{"id":"https://openalex.org/S4306400079","display_name":"Bilkent University Institutional Repository (Bilkent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I168864056","host_organization_name":"Bilkent University","host_organization_lineage":["https://openalex.org/I168864056"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Communications","raw_type":"Article"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.41999998688697815,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G1339685425","display_name":"A Novel Underwater Acoustic Communications Paradigm Exploiting Biological Sounds","funder_award_id":"1102357","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337392","display_name":"Division of Electrical, Communications and Cyber Systems","ror":"https://ror.org/01krpsy48"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2400075630.pdf","grobid_xml":"https://content.openalex.org/works/W2400075630.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W580025994","https://openalex.org/W1981513424","https://openalex.org/W2031724611","https://openalex.org/W2048056120","https://openalex.org/W2049386043","https://openalex.org/W2065706027","https://openalex.org/W2105204872","https://openalex.org/W2118427197","https://openalex.org/W2143254081","https://openalex.org/W2143706820","https://openalex.org/W2154750699","https://openalex.org/W2317915144","https://openalex.org/W2542437104","https://openalex.org/W2798333393","https://openalex.org/W2963149108"],"related_works":["https://openalex.org/W1631010294","https://openalex.org/W1539855486","https://openalex.org/W2349752445","https://openalex.org/W3198080347","https://openalex.org/W2488227130","https://openalex.org/W2355231046","https://openalex.org/W2042947524","https://openalex.org/W4231582551","https://openalex.org/W1579662240","https://openalex.org/W2106851798"],"abstract_inverted_index":{"We":[0,51,73,139],"propose":[1],"upper":[2,46],"and":[3,30,33,47,63,67,81,114,134,147],"lower":[4,48],"bounds":[5,60],"on":[6,143],"the":[7,35,40,45,54,58,69,88,95,116,130],"capacity":[8,131],"of":[9,39,57],"multiple-input":[10],"multiple-output":[11],"(MIMO)":[12],"systems":[13],"with":[14,79],"amplitude-limited":[15],"inputs.":[16,84],"The":[17],"results":[18],"are":[19],"derived":[20,59],"by":[21,31],"considering":[22],"an":[23],"equivalent":[24],"channel":[25,41],"via":[26,151],"singular":[27],"value":[28],"decomposition,":[29],"enlarging":[32],"reducing":[34],"corresponding":[36],"feasible":[37],"region":[38],"input":[42],"vector,":[43],"for":[44,61,129],"bounds,":[49],"respectively.":[50],"analytically":[52],"characterize":[53],"asymptotic":[55],"behavior":[56],"high":[62,135],"low":[64,133],"noise":[65,136],"levels,":[66],"study":[68],"gap":[70],"between":[71],"them.":[72],"also":[74],"consider":[75],"parallel":[76,148],"Gaussian":[77,149],"channels":[78,146,150],"peak":[80],"average":[82],"power-constrained":[83],"For":[85],"such":[86],"channels,":[87],"capacity-achieving":[89,117],"distribution":[90,118],"has":[91],"been":[92],"reported":[93],"in":[94],"literature":[96],"to":[97],"be":[98,102],"discrete,":[99],"which":[100],"can":[101],"computed":[103],"using":[104],"numerical":[105,153],"optimization":[106],"techniques.":[107],"However,":[108],"there":[109],"is":[110,119],"no":[111],"closed-form":[112],"expression":[113],"finding":[115],"computationally":[120],"tedious.":[121],"With":[122],"this":[123],"motivation,":[124],"we":[125],"derive":[126],"approximate":[127],"expressions":[128],"at":[132],"variance":[137],"levels.":[138],"illustrate":[140],"our":[141],"findings":[142],"both":[144],"MIMO":[145],"several":[152],"examples.":[154]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3}],"updated_date":"2026-08-08T07:41:36.138363","created_date":"2016-06-24T00:00:00"}
