{"id":"https://openalex.org/W2014449301","doi":"https://doi.org/10.1109/tit.2014.2342218","title":"Capacity-Achieving Distributions in Gaussian Multiple Access Channel With Peak Power Constraints","display_name":"Capacity-Achieving Distributions in Gaussian Multiple Access Channel With Peak Power Constraints","publication_year":2014,"publication_date":"2014-07-23","ids":{"openalex":"https://openalex.org/W2014449301","doi":"https://doi.org/10.1109/tit.2014.2342218","mag":"2014449301"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2014.2342218","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2342218","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","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/A5082011897","display_name":"Babak Mamandipoor","orcid":"https://orcid.org/0000-0002-0135-0059"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Babak Mamandipoor","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California at Santa Barbara, Santa Barbara, USA","Department of Electrical and Computer Engineering, University of California at Santa Barbara, Santa Barbara, CA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California at Santa Barbara, Santa Barbara, USA","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California at Santa Barbara, Santa Barbara, CA","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035632027","display_name":"Kamyar Moshksar","orcid":"https://orcid.org/0000-0001-8831-7712"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Kamyar Moshksar","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ON, Canada","[Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ON, Canada]"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ON, Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"[Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ON, Canada]","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082206451","display_name":"Amir K. Khandani","orcid":"https://orcid.org/0000-0003-2896-4744"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Amir K. Khandani","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ON, Canada","[Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ON, Canada]"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ON, Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"[Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ON, Canada]","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5082011897"],"corresponding_institution_ids":["https://openalex.org/I154570441"],"apc_list":null,"apc_paid":null,"fwci":3.4481,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.93012097,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"60","issue":"10","first_page":"6080","last_page":"6092"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9998999834060669,"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":0.9998000264167786,"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/T10148","display_name":"Advanced MIMO Systems Optimization","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/boundary","display_name":"Boundary (topology)","score":0.6571238040924072},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6070277094841003},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5769507884979248},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.4898907542228699},{"id":"https://openalex.org/keywords/interference","display_name":"Interference (communication)","score":0.48778825998306274},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.48324331641197205},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.39701318740844727},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32219600677490234},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2858152389526367},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.28388434648513794},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21237444877624512},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.19858121871948242},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09665080904960632}],"concepts":[{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6571238040924072},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6070277094841003},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5769507884979248},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.4898907542228699},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.48778825998306274},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.48324331641197205},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.39701318740844727},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32219600677490234},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2858152389526367},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.28388434648513794},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21237444877624512},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.19858121871948242},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09665080904960632},{"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/tit.2014.2342218","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2342218","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.6200000047683716}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W182881619","https://openalex.org/W638400246","https://openalex.org/W1494099594","https://openalex.org/W1552202016","https://openalex.org/W1591122409","https://openalex.org/W1696415799","https://openalex.org/W1980117155","https://openalex.org/W1995875735","https://openalex.org/W2006428380","https://openalex.org/W2031724611","https://openalex.org/W2052454858","https://openalex.org/W2065706027","https://openalex.org/W2088214533","https://openalex.org/W2098115979","https://openalex.org/W2098257210","https://openalex.org/W2098725264","https://openalex.org/W2099111195","https://openalex.org/W2101413281","https://openalex.org/W2101506680","https://openalex.org/W2105204872","https://openalex.org/W2108913609","https://openalex.org/W2111616148","https://openalex.org/W2111930879","https://openalex.org/W2112450504","https://openalex.org/W2116626522","https://openalex.org/W2117787997","https://openalex.org/W2118427197","https://openalex.org/W2122900782","https://openalex.org/W2123097741","https://openalex.org/W2154750699","https://openalex.org/W2155173539","https://openalex.org/W2157638198","https://openalex.org/W2161513063","https://openalex.org/W2162408061","https://openalex.org/W2478708596","https://openalex.org/W2542437104","https://openalex.org/W3150304496","https://openalex.org/W3173652044","https://openalex.org/W4214515823","https://openalex.org/W4300093168","https://openalex.org/W4302155765","https://openalex.org/W6607460988","https://openalex.org/W6633075942","https://openalex.org/W6674851815"],"related_works":["https://openalex.org/W2375786911","https://openalex.org/W2367630196","https://openalex.org/W756944427","https://openalex.org/W2349547031","https://openalex.org/W1955868788","https://openalex.org/W2358871510","https://openalex.org/W278619663","https://openalex.org/W1988396029","https://openalex.org/W3106323631","https://openalex.org/W3151822016"],"abstract_inverted_index":{"This":[0,46],"paper":[1],"addresses":[2],"a":[3,32,59,75,97,105,217],"two-user":[4,60],"Gaussian":[5,137,158],"multiple":[6],"access":[7],"channel":[8],"(MAC)":[9],"under":[10,62],"peak":[11,63,161,203,241],"power":[12,64,141,162,204,242],"constraints":[13,65,205],"at":[14,66,206,243],"the":[15,22,39,44,52,55,82,108,111,127,130,136,153,157,165,173,198,202,224,239,244,254,258,261],"transmitters.":[16],"It":[17,114],"is":[18,69,90,115,182,186,220,232],"shown":[19,116,187],"that":[20,48,92,117,145,188,213,219,234,247],"generating":[21],"code-books":[23],"of":[24,35,54,58,78,100,110,123,129,152,169,192,253,260],"both":[25,67,207],"users":[26],"according":[27],"to":[28,135],"discrete":[29,72,94],"distributions":[30,73,84,95],"with":[31,74,96,139,160],"finite":[33,76,98],"number":[34,77,99,122],"mass":[36,79,101],"points":[37,102,125,155,256],"achieves":[38],"largest":[40,174],"weighted":[41],"sum-rate":[42,176,218,226],"in":[43,156],"network.":[45],"verifies":[47],"any":[49,151,252],"point":[50,106],"on":[51,107,126,257],"boundary":[53,109,128,259],"capacity":[56,112,131,262],"region":[57],"MAC":[61,138,159],"transmitters":[68,208,245],"achieved":[70,227],"by":[71,177,228],"points.":[80],"Although":[81],"capacity-achieving":[83],"are":[85,195,209,236],"not":[86,250],"necessarily":[87],"unique,":[88],"it":[89,185,231],"verified":[91],"only":[93],"can":[103,215,249],"achieve":[104,150,216,251],"region.":[113,132,263],"there":[118,235],"exist":[119],"an":[120],"infinite":[121],"sum-rate-optimal":[124,154,255],"In":[133,197],"contrast":[134],"average":[140],"constraints,":[142],"we":[143,211],"verify":[144,212],"time":[146],"division":[147,180],"(TD)":[148],"cannot":[149],"constraints.":[163],"Using":[164],"so-called":[166],"I-MMSE":[167],"identity":[168],"Guo":[170],"et":[171],"al.,":[172],"achievable":[175],"orthogonal":[178],"code":[179],"(OCD)":[181],"characterized":[183],"where":[184,201],"Walsh-Hadamard":[189],"spreading":[190],"codes":[191],"length":[193],"2":[194],"optimal.":[196],"symmetric":[199],"case":[200],"identical,":[210],"OCD":[214,248],"strictly":[221],"larger":[222],"than":[223],"highest":[225],"TD.":[229],"Finally,":[230],"demonstrated":[233],"values":[237],"for":[238],"maximum":[240],"such":[246]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
