{"id":"https://openalex.org/W2149271506","doi":"https://doi.org/10.1109/isit.2009.5205547","title":"On the Degrees of Freedom of the 3-user Gaussian interference channel: The symmetric case","display_name":"On the Degrees of Freedom of the 3-user Gaussian interference channel: The symmetric case","publication_year":2009,"publication_date":"2009-06-01","ids":{"openalex":"https://openalex.org/W2149271506","doi":"https://doi.org/10.1109/isit.2009.5205547","mag":"2149271506"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2009.5205547","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2009.5205547","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/A5043842702","display_name":"Seyed Abolfazl Motahari","orcid":"https://orcid.org/0000-0002-7639-0362"},"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":true,"raw_author_name":"Abolfazl Seyed Motahari","raw_affiliation_strings":["Electrical and Computer Engineering Department, University of Waterloo, Waterloo, ON, Canada"],"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, University of Waterloo, Waterloo, ON, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111886960","display_name":"Shahab Oveis Gharan","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":"Shahab Oveis Gharan","raw_affiliation_strings":["Electrical and Computer Engineering Department, University of Waterloo, Waterloo, ON, Canada"],"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, University of Waterloo, Waterloo, ON, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082206451","display_name":"Amir K. Khandani","orcid":"https://orcid.org/0000-0003-2896-4744"},"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":"Amir Keyvan Khandani","raw_affiliation_strings":["Electrical and Computer Engineering Department, University of Waterloo, Waterloo, ON, Canada"],"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, University of Waterloo, Waterloo, ON, Canada","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5043842702"],"corresponding_institution_ids":["https://openalex.org/I151746483"],"apc_list":null,"apc_paid":null,"fwci":2.9908,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.91572938,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1914","last_page":"1918"},"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/T12162","display_name":"Cellular Automata and Applications","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9955000281333923,"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/degrees-of-freedom","display_name":"Degrees of freedom (physics and chemistry)","score":0.6842089891433716},{"id":"https://openalex.org/keywords/interference","display_name":"Interference (communication)","score":0.670434832572937},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.6216322183609009},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5554208755493164},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5535990595817566},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5099412202835083},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5072805285453796},{"id":"https://openalex.org/keywords/irrational-number","display_name":"Irrational number","score":0.48651260137557983},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.41880089044570923},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4170818030834198},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4097246527671814},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.39898717403411865},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.25668275356292725},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.24632969498634338},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21827712655067444},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1282590925693512},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08739075064659119},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06692293286323547}],"concepts":[{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.6842089891433716},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.670434832572937},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.6216322183609009},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5554208755493164},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5535990595817566},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5099412202835083},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5072805285453796},{"id":"https://openalex.org/C94931360","wikidata":"https://www.wikidata.org/wiki/Q607728","display_name":"Irrational number","level":2,"score":0.48651260137557983},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.41880089044570923},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4170818030834198},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4097246527671814},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.39898717403411865},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.25668275356292725},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.24632969498634338},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21827712655067444},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1282590925693512},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08739075064659119},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06692293286323547},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","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},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2009.5205547","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2009.5205547","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":[{"display_name":"Peace, Justice and strong institutions","score":0.8299999833106995,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1848947744","https://openalex.org/W1979408141","https://openalex.org/W2062610219","https://openalex.org/W2076597612","https://openalex.org/W2101431202","https://openalex.org/W2106549261","https://openalex.org/W2110115072","https://openalex.org/W2136608712","https://openalex.org/W2148402849","https://openalex.org/W2157989362","https://openalex.org/W2165962863","https://openalex.org/W2953293975","https://openalex.org/W3175367423"],"related_works":["https://openalex.org/W3088646517","https://openalex.org/W2973552040","https://openalex.org/W2185277279","https://openalex.org/W4220768180","https://openalex.org/W2377639682","https://openalex.org/W2792087242","https://openalex.org/W2387799803","https://openalex.org/W3100817393","https://openalex.org/W2797611542","https://openalex.org/W3120892761"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,9,25,33,39,56],"degrees":[4],"of":[5,8,32,41],"freedom":[6],"(DOF)":[7],"symmetric":[10],"3-user":[11],"Gaussian":[12],"interference":[13],"channel":[14,34,43],"is":[15,18,28,53,62,66],"considered.":[16],"It":[17],"shown":[19],"that":[20,55],"by":[21],"using":[22,68],"un-coded":[23],"signaling,":[24],"achievable":[26],"DOF":[27],"a":[29],"discontinuous":[30],"function":[31],"parameter.":[35],"More":[36],"importantly,":[37],"for":[38],"set":[40],"irrational":[42],"gains,":[44],"which":[45],"has":[46],"measure":[47],"1":[48],"in":[49,71],"real":[50],"numbers,":[51],"it":[52],"proved":[54],"total":[57],"system's":[58],"DOF,":[59],"i.e.,":[60],"3/2,":[61],"achievable.":[63],"This":[64],"result":[65],"obtained":[67],"Hurwitz's":[69],"theorem":[70],"number":[72],"theory.":[73]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
