{"id":"https://openalex.org/W2743063210","doi":"https://doi.org/10.1109/tit.2017.2737010","title":"Fundamental Limits of Non-Coherent Interference Alignment via Matroid Theory","display_name":"Fundamental Limits of Non-Coherent Interference Alignment via Matroid Theory","publication_year":2017,"publication_date":"2017-08-07","ids":{"openalex":"https://openalex.org/W2743063210","doi":"https://doi.org/10.1109/tit.2017.2737010","mag":"2743063210"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2017.2737010","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2017.2737010","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/A5065389164","display_name":"Navid Naderializadeh","orcid":"https://orcid.org/0000-0002-4891-6726"},"institutions":[{"id":"https://openalex.org/I1343180700","display_name":"Intel (United States)","ror":"https://ror.org/01ek73717","country_code":"US","type":"company","lineage":["https://openalex.org/I1343180700"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Navid Naderializadeh","raw_affiliation_strings":["Intel Corporation, Santa Clara, CA, USA"],"affiliations":[{"raw_affiliation_string":"Intel Corporation, Santa Clara, CA, USA","institution_ids":["https://openalex.org/I1343180700"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051018107","display_name":"Aly El Gamal","orcid":"https://orcid.org/0000-0002-0400-4506"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Aly El Gamal","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Purdue University, West Lafayette, IN, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Purdue University, West Lafayette, IN, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047191296","display_name":"A. Salman Avestimehr","orcid":"https://orcid.org/0000-0003-3102-0867"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Salman Avestimehr","raw_affiliation_strings":["Department of Electrical Engineering, University of Southern California, Los Angeles, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Southern California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5065389164"],"corresponding_institution_ids":["https://openalex.org/I1343180700"],"apc_list":null,"apc_paid":null,"fwci":0.8745,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.7779094,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"63","issue":"10","first_page":"6573","last_page":"6586"},"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":0.9994000196456909,"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":0.9993000030517578,"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/matroid","display_name":"Matroid","score":0.7943662405014038},{"id":"https://openalex.org/keywords/concatenation","display_name":"Concatenation (mathematics)","score":0.7117235064506531},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5924826264381409},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.549755334854126},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5200685858726501},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.45902901887893677},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.4298759698867798},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39994072914123535},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31659600138664246},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2974550127983093}],"concepts":[{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.7943662405014038},{"id":"https://openalex.org/C87619178","wikidata":"https://www.wikidata.org/wiki/Q126002","display_name":"Concatenation (mathematics)","level":2,"score":0.7117235064506531},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5924826264381409},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.549755334854126},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5200685858726501},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.45902901887893677},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.4298759698867798},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39994072914123535},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31659600138664246},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2974550127983093},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2017.2737010","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2017.2737010","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":[{"score":0.6899999976158142,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G8754646799","display_name":null,"funder_award_id":"N000141612189","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W15553240","https://openalex.org/W1599026900","https://openalex.org/W1611655633","https://openalex.org/W1966060873","https://openalex.org/W1985061810","https://openalex.org/W1992652930","https://openalex.org/W2029523490","https://openalex.org/W2038110714","https://openalex.org/W2063292248","https://openalex.org/W2080132708","https://openalex.org/W2123051422","https://openalex.org/W2130507035","https://openalex.org/W2148299270","https://openalex.org/W2149193269","https://openalex.org/W2171844485","https://openalex.org/W2949885275","https://openalex.org/W2963487811","https://openalex.org/W2988480584","https://openalex.org/W3160322950"],"related_works":["https://openalex.org/W2058299944","https://openalex.org/W4323360720","https://openalex.org/W1550144461","https://openalex.org/W4233892543","https://openalex.org/W2783959783","https://openalex.org/W2602164040","https://openalex.org/W2037206237","https://openalex.org/W2073872397","https://openalex.org/W2005661925","https://openalex.org/W2057654888"],"abstract_inverted_index":{"We":[0,36,69],"consider":[1],"the":[2,10,15,26,32,60,76,83,101,109,126,143,151],"problem":[3,39,42,102,144],"of":[4,17,31,43,52,59,78,111,145,155,160],"non-coherent":[5],"interference":[6,147],"alignment,":[7],"in":[8],"which":[9],"goal":[11],"is":[12,63,97],"to":[13,103,124,142],"align":[14],"signals":[16],"multiple":[18],"interfering":[19],"transmitters":[20,27],"at":[21],"a":[22,41,49,66,92,158],"single":[23],"receiver":[24],"where":[25],"are":[28],"not":[29],"aware":[30],"channel":[33],"state":[34],"information.":[35],"cast":[37],"this":[38,137],"as":[40],"determining":[44,104],"rank":[45,90,105],"loss":[46,106],"conditions":[47,74,107],"for":[48,75,108,157],"column":[50],"concatenation":[51],"full-rank":[53],"matrices,":[54],"such":[55,81],"that":[56,82],"each":[57,79],"row":[58],"composing":[61],"matrices":[62],"scaled":[64],"by":[65,91,99],"random":[67,84],"coefficient.":[68],"determine":[70],"necessary":[71,127],"and":[72,115,121,128,149],"sufficient":[73,129],"design":[77],"matrix,":[80],"ensemble":[85],"will":[86],"almost":[87],"surely":[88],"lose":[89],"certain":[93],"amount.":[94],"The":[95],"result":[96,138],"proved":[98],"converting":[100],"union":[110],"some":[112],"specific":[113],"matroids,":[114],"then":[116],"using":[117],"tools":[118],"from":[119],"matroid":[120],"graph":[122],"theories":[123],"derive":[125],"conditions.":[130],"As":[131],"an":[132],"application,":[133],"we":[134],"discuss":[135],"how":[136],"can":[139],"be":[140],"applied":[141],"topological":[146],"management,":[148],"characterize":[150],"linear":[152],"symmetric":[153],"degrees":[154],"freedom":[156],"class":[159],"network":[161],"topologies.":[162]},"counts_by_year":[{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2}],"updated_date":"2026-03-08T08:50:53.379069","created_date":"2025-10-10T00:00:00"}