{"id":"https://openalex.org/W2168102857","doi":"https://doi.org/10.1109/tit.2009.2021314","title":"D-MG Tradeoff and Optimal Codes for a Class of AF and DF Cooperative Communication Protocols","display_name":"D-MG Tradeoff and Optimal Codes for a Class of AF and DF Cooperative Communication Protocols","publication_year":2009,"publication_date":"2009-06-16","ids":{"openalex":"https://openalex.org/W2168102857","doi":"https://doi.org/10.1109/tit.2009.2021314","mag":"2168102857"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2009.2021314","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2009.2021314","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/A5015066458","display_name":"Petros Elia","orcid":"https://orcid.org/0000-0002-3531-120X"},"institutions":[{"id":"https://openalex.org/I1902872","display_name":"EURECOM","ror":"https://ror.org/00sse7z02","country_code":"FR","type":"education","lineage":["https://openalex.org/I1902872","https://openalex.org/I205703379"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Petros E. Elia","raw_affiliation_strings":["Eurecom Institute, Sophia-Antipolis, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Eurecom Institute, Sophia-Antipolis, France","institution_ids":["https://openalex.org/I1902872"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029729068","display_name":"K. Vinodh","orcid":null},"institutions":[{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"K. Vinodh","raw_affiliation_strings":["Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore, India","institution_ids":["https://openalex.org/I59270414"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059473875","display_name":"M. Anand","orcid":"https://orcid.org/0000-0001-5801-3654"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M. Anand","raw_affiliation_strings":["Department of Electrical and Computer Engineering and the Coordinated Science Laboratory, University of Illinois, Urbana-Champaign, Urbana, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering and the Coordinated Science Laboratory, University of Illinois, Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000294837","display_name":"P. Vijay Kumar","orcid":"https://orcid.org/0000-0003-0990-2847"},"institutions":[{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"P. Vijay Kumar","raw_affiliation_strings":["Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore, India","institution_ids":["https://openalex.org/I59270414"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":17.6043,"has_fulltext":false,"cited_by_count":70,"citation_normalized_percentile":{"value":0.99167403,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"55","issue":"7","first_page":"3161","last_page":"3185"},"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/T11458","display_name":"Advanced Wireless Communication Technologies","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/T12791","display_name":"Full-Duplex Wireless Communications","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/fading","display_name":"Fading","score":0.7333459854125977},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5897170305252075},{"id":"https://openalex.org/keywords/multiplexing","display_name":"Multiplexing","score":0.5670059323310852},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.5474265217781067},{"id":"https://openalex.org/keywords/diversity-gain","display_name":"Diversity gain","score":0.5169886350631714},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.49988484382629395},{"id":"https://openalex.org/keywords/relay","display_name":"Relay","score":0.48990339040756226},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.4780212640762329},{"id":"https://openalex.org/keywords/cooperative-diversity","display_name":"Cooperative diversity","score":0.4650287330150604},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.44279909133911133},{"id":"https://openalex.org/keywords/space\u2013time-code","display_name":"Space\u2013time code","score":0.4418447017669678},{"id":"https://openalex.org/keywords/outage-probability","display_name":"Outage probability","score":0.433539479970932},{"id":"https://openalex.org/keywords/orthogonal-frequency-division-multiplexing","display_name":"Orthogonal frequency-division multiplexing","score":0.429823637008667},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3852894902229309},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.35757017135620117},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.33598971366882324},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3347446918487549},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09151226282119751}],"concepts":[{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.7333459854125977},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5897170305252075},{"id":"https://openalex.org/C19275194","wikidata":"https://www.wikidata.org/wiki/Q222903","display_name":"Multiplexing","level":2,"score":0.5670059323310852},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.5474265217781067},{"id":"https://openalex.org/C164785522","wikidata":"https://www.wikidata.org/wiki/Q5283966","display_name":"Diversity gain","level":4,"score":0.5169886350631714},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.49988484382629395},{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.48990339040756226},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.4780212640762329},{"id":"https://openalex.org/C6832461","wikidata":"https://www.wikidata.org/wiki/Q5167914","display_name":"Cooperative diversity","level":4,"score":0.4650287330150604},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.44279909133911133},{"id":"https://openalex.org/C132778218","wikidata":"https://www.wikidata.org/wiki/Q7572753","display_name":"Space\u2013time code","level":4,"score":0.4418447017669678},{"id":"https://openalex.org/C2778258436","wikidata":"https://www.wikidata.org/wiki/Q30672262","display_name":"Outage probability","level":4,"score":0.433539479970932},{"id":"https://openalex.org/C40409654","wikidata":"https://www.wikidata.org/wiki/Q375889","display_name":"Orthogonal frequency-division multiplexing","level":3,"score":0.429823637008667},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3852894902229309},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.35757017135620117},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.33598971366882324},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3347446918487549},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09151226282119751},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2009.2021314","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2009.2021314","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":"Partnerships for the goals","id":"https://metadata.un.org/sdg/17","score":0.49000000953674316}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W164588922","https://openalex.org/W1980804822","https://openalex.org/W2005621878","https://openalex.org/W2025889675","https://openalex.org/W2026898705","https://openalex.org/W2059120410","https://openalex.org/W2099857870","https://openalex.org/W2102934991","https://openalex.org/W2104211099","https://openalex.org/W2107325229","https://openalex.org/W2108550051","https://openalex.org/W2115798205","https://openalex.org/W2124899794","https://openalex.org/W2126094517","https://openalex.org/W2129766733","https://openalex.org/W2130347036","https://openalex.org/W2133338231","https://openalex.org/W2136209931","https://openalex.org/W2144421688","https://openalex.org/W2145666956","https://openalex.org/W2148963518","https://openalex.org/W2152121970","https://openalex.org/W2478708596","https://openalex.org/W2537584797","https://openalex.org/W4301258660","https://openalex.org/W6678520102","https://openalex.org/W6681586501"],"related_works":["https://openalex.org/W2113624196","https://openalex.org/W2356024050","https://openalex.org/W2141670860","https://openalex.org/W2353594815","https://openalex.org/W2109048640","https://openalex.org/W2372431055","https://openalex.org/W1980078116","https://openalex.org/W2393674638","https://openalex.org/W2053848447","https://openalex.org/W2141183677"],"abstract_inverted_index":{"Cooperative":[0],"relay":[1],"communication":[2],"in":[3,52],"a":[4],"fading":[5],"channel":[6],"environment":[7],"under":[8],"the":[9,31],"orthogonal":[10,15],"amplify-and-forward":[11],"(OAF),":[12],"nonorthogonal":[13],"and":[14,19,36,51],"selection":[16],"decode-and-forward":[17],"(NSDF":[18],"OSDF)":[20],"protocols":[21,33],"is":[22,34],"considered":[23],"here.":[24],"The":[25,45],"diversity-multiplexing":[26],"gain":[27],"tradeoff":[28],"(DMT)":[29],"of":[30],"three":[32],"determined":[35],"DMT-optimal":[37],"distributed":[38],"space-time":[39],"(ST)":[40],"code":[41],"constructions":[42],"are":[43,48],"provided.":[44],"codes":[46],"constructed":[47],"sphere":[49],"decodable":[50],"some":[53],"instances":[54],"incur":[55],"minimum":[56],"possible":[57],"delay.":[58]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":6}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
