{"id":"https://openalex.org/W2143504028","doi":"https://doi.org/10.1109/tit.2011.2145970","title":"The Capacity Region of the Three Receiver Less Noisy Broadcast Channel","display_name":"The Capacity Region of the Three Receiver Less Noisy Broadcast Channel","publication_year":2011,"publication_date":"2011-06-21","ids":{"openalex":"https://openalex.org/W2143504028","doi":"https://doi.org/10.1109/tit.2011.2145970","mag":"2143504028"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2011.2145970","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2011.2145970","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/A5073405189","display_name":"Chandra Nair","orcid":"https://orcid.org/0000-0003-2745-5614"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chandra Nair","raw_affiliation_strings":["Department of Information Engineering, Chinese University of Hong Kong, Sha Tin, Hong Kong, China","[Dept. of Inf. Eng., Chinese Univ. of Hong Kong, Shatin, China]"],"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, Chinese University of Hong Kong, Sha Tin, Hong Kong, China","institution_ids":["https://openalex.org/I177725633"]},{"raw_affiliation_string":"[Dept. of Inf. Eng., Chinese Univ. of Hong Kong, Shatin, China]","institution_ids":["https://openalex.org/I177725633"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012558955","display_name":"Zizhou Vincent Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zizhou Vincent Wang","raw_affiliation_strings":["Department of Information Engineering, Chinese University of Hong Kong, Sha Tin, Hong Kong, China","[Dept. of Inf. Eng., Chinese Univ. of Hong Kong, Shatin, China]"],"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, Chinese University of Hong Kong, Sha Tin, Hong Kong, China","institution_ids":["https://openalex.org/I177725633"]},{"raw_affiliation_string":"[Dept. of Inf. Eng., Chinese Univ. of Hong Kong, Shatin, China]","institution_ids":["https://openalex.org/I177725633"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5073405189"],"corresponding_institution_ids":["https://openalex.org/I177725633"],"apc_list":null,"apc_paid":null,"fwci":2.1196,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.88528037,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"57","issue":"7","first_page":"4058","last_page":"4062"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security 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"}},"topics":[{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security 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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.996999979019165,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9854000210762024,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/converse","display_name":"Converse","score":0.8962007761001587},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.7081262469291687},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.640485405921936},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.5602517127990723},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5171096324920654},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44405829906463623},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.44094809889793396},{"id":"https://openalex.org/keywords/capacity-planning","display_name":"Capacity planning","score":0.42087292671203613},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4055335819721222},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.3998221755027771},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.34357398748397827},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.331694096326828},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1642252504825592},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13938584923744202}],"concepts":[{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.8962007761001587},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.7081262469291687},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.640485405921936},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.5602517127990723},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5171096324920654},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44405829906463623},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.44094809889793396},{"id":"https://openalex.org/C2781007418","wikidata":"https://www.wikidata.org/wiki/Q1456934","display_name":"Capacity planning","level":2,"score":0.42087292671203613},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4055335819721222},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.3998221755027771},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.34357398748397827},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.331694096326828},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1642252504825592},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13938584923744202},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2011.2145970","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2011.2145970","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W584133308","https://openalex.org/W1536790874","https://openalex.org/W1978188352","https://openalex.org/W2122627558","https://openalex.org/W2123577883","https://openalex.org/W2127276562","https://openalex.org/W2135536003","https://openalex.org/W2137604856","https://openalex.org/W2144007657","https://openalex.org/W2152663409","https://openalex.org/W2157639858","https://openalex.org/W6632095600"],"related_works":["https://openalex.org/W2387449261","https://openalex.org/W2418518962","https://openalex.org/W2963377682","https://openalex.org/W2043159103","https://openalex.org/W2020347709","https://openalex.org/W2566422402","https://openalex.org/W1954636918","https://openalex.org/W2122756979","https://openalex.org/W3011149529","https://openalex.org/W2128841511"],"abstract_inverted_index":{"We":[0,60],"determine":[1],"the":[2,16,23,42,58,67],"capacity":[3,68],"region":[4,69],"of":[5,73],"a":[6,31,46,71],"3-receiver":[7],"less":[8,51,74],"noisy":[9,52,75],"broadcast":[10],"channel.":[11],"The":[12],"difficulty":[13,33,43],"in":[14,34,57],"extending":[15,22],"two-receiver":[17],"result":[18,64],"to":[19,26,65],"three-receivers":[20],"involves":[21],"Csiszar-sum":[24],"lemma":[25],"three":[27],"or":[28],"more":[29],"sequences,":[30],"standard":[32],"this":[35,38],"area.":[36],"In":[37],"work":[39],"we":[40],"bypass":[41],"by":[44],"using":[45],"new":[47],"information":[48],"inequality,":[49],"for":[50,70],"receivers,":[53],"that":[54],"is":[55],"employed":[56],"converse.":[59],"also":[61],"generalize":[62],"our":[63],"obtain":[66],"class":[72],"receivers.":[76]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":7}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
