{"id":"https://openalex.org/W1660716358","doi":"https://doi.org/10.1109/isit.2015.7282662","title":"Upper bounds on the capacity of symmetric primitive relay channels","display_name":"Upper bounds on the capacity of symmetric primitive relay channels","publication_year":2015,"publication_date":"2015-06-01","ids":{"openalex":"https://openalex.org/W1660716358","doi":"https://doi.org/10.1109/isit.2015.7282662","mag":"1660716358"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2015.7282662","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2015.7282662","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-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/A5041915281","display_name":"Xiugang Wu","orcid":"https://orcid.org/0000-0002-8130-975X"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Xiugang Wu","raw_affiliation_strings":["Stanford University","Stanford University - USA >  >  >  >"],"affiliations":[{"raw_affiliation_string":"Stanford University","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Stanford University - USA >  >  >  >","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102212634","display_name":"Liang\u2010Liang Xie","orcid":null},"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":"Liang-Liang Xie","raw_affiliation_strings":["University of Waterloo","University of Waterloo-Canad\u00e1"],"affiliations":[{"raw_affiliation_string":"University of Waterloo","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"University of Waterloo-Canad\u00e1","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003322209","display_name":"Ayfer \u00d6zg\u00fcr","orcid":"https://orcid.org/0000-0002-4455-4692"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ayfer Ozgur","raw_affiliation_strings":["Stanford University","Stanford University - USA >  >  >  >"],"affiliations":[{"raw_affiliation_string":"Stanford University","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Stanford University - USA >  >  >  >","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5041915281"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":null,"apc_paid":null,"fwci":1.9969,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.87640537,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1282","last_page":"1286"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":1.0,"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":1.0,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9987999796867371,"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/T11458","display_name":"Advanced Wireless Communication Technologies","score":0.9970999956130981,"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/relay","display_name":"Relay","score":0.9276918172836304},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.7196228504180908},{"id":"https://openalex.org/keywords/binary-symmetric-channel","display_name":"Binary symmetric channel","score":0.6847344040870667},{"id":"https://openalex.org/keywords/relay-channel","display_name":"Relay channel","score":0.6373414397239685},{"id":"https://openalex.org/keywords/independent-and-identically-distributed-random-variables","display_name":"Independent and identically distributed random variables","score":0.6356167793273926},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.6003700494766235},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5726422667503357},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5589249730110168},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5271315574645996},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5113696455955505},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.49060502648353577},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4393155574798584},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4260275065898895},{"id":"https://openalex.org/keywords/probability-of-error","display_name":"Probability of error","score":0.4127039909362793},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37205770611763},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.34872400760650635},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2574530243873596},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.22561100125312805},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.12688657641410828},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11521780490875244},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10433045029640198},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.0769776999950409}],"concepts":[{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.9276918172836304},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.7196228504180908},{"id":"https://openalex.org/C173988684","wikidata":"https://www.wikidata.org/wiki/Q863510","display_name":"Binary symmetric channel","level":4,"score":0.6847344040870667},{"id":"https://openalex.org/C46257984","wikidata":"https://www.wikidata.org/wiki/Q7310895","display_name":"Relay channel","level":4,"score":0.6373414397239685},{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.6356167793273926},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.6003700494766235},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5726422667503357},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5589249730110168},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5271315574645996},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5113696455955505},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.49060502648353577},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4393155574798584},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4260275065898895},{"id":"https://openalex.org/C92224547","wikidata":"https://www.wikidata.org/wiki/Q1673216","display_name":"Probability of error","level":2,"score":0.4127039909362793},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37205770611763},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.34872400760650635},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2574530243873596},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.22561100125312805},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.12688657641410828},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11521780490875244},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10433045029640198},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0769776999950409},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2015.7282662","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2015.7282662","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W950997499","https://openalex.org/W1971536606","https://openalex.org/W2000446566","https://openalex.org/W2040142717","https://openalex.org/W2081047977","https://openalex.org/W2087464967","https://openalex.org/W2089555817","https://openalex.org/W2110266514","https://openalex.org/W2139623210","https://openalex.org/W2141761557","https://openalex.org/W2146818257","https://openalex.org/W2155150064","https://openalex.org/W2162635854","https://openalex.org/W2167447263"],"related_works":["https://openalex.org/W2975988509","https://openalex.org/W2113295431","https://openalex.org/W2138116514","https://openalex.org/W2098326022","https://openalex.org/W2997734155","https://openalex.org/W2963629492","https://openalex.org/W2094867746","https://openalex.org/W3211079129","https://openalex.org/W3099663570","https://openalex.org/W150611415"],"abstract_inverted_index":{"Consider":[0],"a":[1,22,76],"symmetric":[2,119],"primitive":[3],"relay":[4,23,26,69],"channel,":[5],"where,":[6],"the":[7,15,19,25,31,65,72,80,88,103,115],"source":[8],"X":[9],"wants":[10],"to":[11,14,30,98],"send":[12],"information":[13],"destination":[16,32],"Y":[17,33],"with":[18],"help":[20],"of":[21,39,67,79,117],"Z,":[24],"Z":[27,48],"can":[28],"communicate":[29],"via":[34],"an":[35,108],"error-free":[36],"digital":[37],"link":[38],"rate":[40],"R":[41],"<sub":[42],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[43],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">0</sub>":[44],",":[45],"and":[46,52,87,106],"Y,":[47],"are":[49,96,111],"conditionally":[50],"independent":[51],"identically":[53],"distributed":[54],"given":[55],"X.":[56],"This":[57],"paper":[58],"presents":[59],"two":[60,94],"new":[61],"upper":[62],"bounds":[63,95],"on":[64],"capacity":[66],"such":[68],"channels,":[70],"where":[71],"first":[73],"one":[74,90],"is":[75,91],"sharpened":[77],"version":[78],"recently":[81],"proposed":[82],"bound":[83],"by":[84],"(Xue,":[85],"2014),":[86],"second":[89],"novel.":[92],"These":[93],"shown":[97],"be":[99],"generally":[100],"tighter":[101],"than":[102],"cut-set":[104],"bound,":[105],"as":[107],"example":[109],"they":[110],"numerically":[112],"evaluated":[113],"for":[114],"case":[116],"binary":[118],"channels.":[120]},"counts_by_year":[{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}