{"id":"https://openalex.org/W2105955291","doi":"https://doi.org/10.1109/isit.2009.5205684","title":"A class of bi-directional multi-relay protocols","display_name":"A class of bi-directional multi-relay protocols","publication_year":2009,"publication_date":"2009-06-01","ids":{"openalex":"https://openalex.org/W2105955291","doi":"https://doi.org/10.1109/isit.2009.5205684","mag":"2105955291"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2009.5205684","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2009.5205684","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Symposium on Information Theory","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/A5101464208","display_name":"Sang Joon Kim","orcid":"https://orcid.org/0000-0003-2286-3790"},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sang Joon Kim","raw_affiliation_strings":["School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, USA","School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, 02138 (USA)"],"affiliations":[{"raw_affiliation_string":"School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, USA","institution_ids":["https://openalex.org/I136199984"]},{"raw_affiliation_string":"School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, 02138 (USA)","institution_ids":["https://openalex.org/I136199984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079658437","display_name":"Natasha Devroye","orcid":"https://orcid.org/0000-0002-1619-4095"},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Natasha Devroye","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Illinois, Chicago, Chicago, IL, USA","Department of Electrical and Computer Engineering, University of Illinois at Chicago, 60607 USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois, Chicago, Chicago, IL, USA","institution_ids":["https://openalex.org/I39422238"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois at Chicago, 60607 USA","institution_ids":["https://openalex.org/I39422238"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020766546","display_name":"Vahid Tarokh","orcid":"https://orcid.org/0000-0003-2994-6302"},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vahid Tarokh","raw_affiliation_strings":["School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, USA","School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, 02138 (USA)"],"affiliations":[{"raw_affiliation_string":"School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, USA","institution_ids":["https://openalex.org/I136199984"]},{"raw_affiliation_string":"School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, 02138 (USA)","institution_ids":["https://openalex.org/I136199984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101464208"],"corresponding_institution_ids":["https://openalex.org/I136199984"],"apc_list":null,"apc_paid":null,"fwci":3.4285,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.92932517,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"349","last_page":"353"},"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/T12791","display_name":"Full-Duplex Wireless Communications","score":0.998199999332428,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9980999827384949,"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":0.8891624808311462},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6862975358963013},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.6009439826011658},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.5382954478263855},{"id":"https://openalex.org/keywords/protocol","display_name":"Protocol (science)","score":0.5196108222007751},{"id":"https://openalex.org/keywords/relay-channel","display_name":"Relay channel","score":0.5122613310813904},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.4879862666130066},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4792083203792572},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4770469069480896},{"id":"https://openalex.org/keywords/additive-white-gaussian-noise","display_name":"Additive white Gaussian noise","score":0.4493369460105896},{"id":"https://openalex.org/keywords/duplex","display_name":"Duplex (building)","score":0.4321724474430084},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.22457781434059143},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.11693581938743591},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10379832983016968},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08874750137329102},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.06123599410057068}],"concepts":[{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.8891624808311462},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6862975358963013},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.6009439826011658},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.5382954478263855},{"id":"https://openalex.org/C2780385302","wikidata":"https://www.wikidata.org/wiki/Q367158","display_name":"Protocol (science)","level":3,"score":0.5196108222007751},{"id":"https://openalex.org/C46257984","wikidata":"https://www.wikidata.org/wiki/Q7310895","display_name":"Relay channel","level":4,"score":0.5122613310813904},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.4879862666130066},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4792083203792572},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4770469069480896},{"id":"https://openalex.org/C169334058","wikidata":"https://www.wikidata.org/wiki/Q353292","display_name":"Additive white Gaussian noise","level":3,"score":0.4493369460105896},{"id":"https://openalex.org/C99611785","wikidata":"https://www.wikidata.org/wiki/Q6453233","display_name":"Duplex (building)","level":3,"score":0.4321724474430084},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.22457781434059143},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.11693581938743591},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10379832983016968},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08874750137329102},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.06123599410057068},{"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/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0},{"id":"https://openalex.org/C204787440","wikidata":"https://www.wikidata.org/wiki/Q188504","display_name":"Alternative medicine","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C552990157","wikidata":"https://www.wikidata.org/wiki/Q7430","display_name":"DNA","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2009.5205684","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2009.5205684","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1512163718","https://openalex.org/W1633553990","https://openalex.org/W2099111195","https://openalex.org/W2100770837","https://openalex.org/W2131559343","https://openalex.org/W2145386092","https://openalex.org/W2153077717","https://openalex.org/W2168169614","https://openalex.org/W2478708596","https://openalex.org/W2949329003","https://openalex.org/W4248237392"],"related_works":["https://openalex.org/W2608897767","https://openalex.org/W2153829573","https://openalex.org/W2099376255","https://openalex.org/W2963768675","https://openalex.org/W2004047158","https://openalex.org/W2119153672","https://openalex.org/W2993015344","https://openalex.org/W1559320887","https://openalex.org/W2374704553","https://openalex.org/W2082611414"],"abstract_inverted_index":{"In":[0,39],"a":[1,13,36,150],"bi-directional":[2,32,44],"relay":[3,33],"channel,":[4],"two":[5],"nodes":[6],"wish":[7],"to":[8,69],"exchange":[9],"independent":[10],"messages":[11],"over":[12],"shared":[14],"wireless":[15],"half-duplex":[16,58,91],"channel":[17,34,196],"with":[18,35,46,60,73,99,108,157],"the":[19,31,70,93,102,125,139,145,154,190],"help":[20],"of":[21,30,90,128,141,153],"relays.":[22,48],"Recent":[23],"work":[24,41],"has":[25],"considered":[26],"information":[27],"theoretic":[28],"limits":[29],"single":[37],"relay.":[38],"this":[40],"we":[42,148],"consider":[43,86],"relaying":[45,161,166],"multiple":[47,61],"We":[49,85],"derive":[50],"achievable":[51,173],"rate":[52,174,192],"regions":[53],"and":[54,63,66,75,111,117,130,159,162,164,178],"outer":[55,176],"bounds":[56,177],"for":[57],"protocols":[59,72,156],"decode":[62,158],"forward":[64,76,160,165],"relays":[65,77,129],"compare":[67],"these":[68],"same":[71],"amplify":[74,163],"in":[78,144,167],"an":[79],"additive":[80],"white":[81],"Gaussian":[82,168],"noise":[83],"channel.":[84],"three":[87],"novel":[88],"classes":[89],"protocols:":[92],"(m,":[94,103,113],"2)":[95],"2":[96,137],"phase":[97,106],"protocol":[98,107,188],"m":[100,109,123,135],"relays,":[101,110],"3)":[104],"3":[105,131],"general":[112],"t)":[114],"Multiple":[115,118],"Hops":[116],"Relays":[119],"(MHMR)":[120],"protocols,":[121],"where":[122],"is":[124,138],"total":[126],"number":[127,140],"<":[132],"t":[133],"\u00bf":[134],"+":[136],"temporal":[142],"phases":[143],"protocol.":[146],"Finally,":[147],"provide":[149],"comprehensive":[151],"treatment":[152],"MHMR":[155,187],"noise,":[169],"obtaining":[170],"their":[171],"respective":[172],"regions,":[175],"relative":[179],"performance":[180],"at":[181],"different":[182],"SNRs.":[183],"The":[184],"(m,m+2)":[185],"DF":[186],"achieves":[189],"largest":[191],"region":[193],"under":[194],"simulated":[195],"conditions.":[197]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
