{"id":"https://openalex.org/W2048469347","doi":"https://doi.org/10.1109/isit.2013.6620493","title":"The degrees of freedom of the MIMO Y-channel","display_name":"The degrees of freedom of the MIMO Y-channel","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W2048469347","doi":"https://doi.org/10.1109/isit.2013.6620493","mag":"2048469347"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2013.6620493","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2013.6620493","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 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/A5044765621","display_name":"Anas Chaaban","orcid":"https://orcid.org/0000-0002-8713-5084"},"institutions":[{"id":"https://openalex.org/I2799784675","display_name":"University Hospitals of the Ruhr-University of Bochum","ror":"https://ror.org/03zcpvf19","country_code":"DE","type":"healthcare","lineage":["https://openalex.org/I2799784675"]},{"id":"https://openalex.org/I904495901","display_name":"Ruhr University Bochum","ror":"https://ror.org/04tsk2644","country_code":"DE","type":"education","lineage":["https://openalex.org/I904495901"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Anas Chaaban","raw_affiliation_strings":["Communication Systems, Ruhr-Universit\u00e4t-Bochum, Germany","Dept. of Commun. Syst., Ruhr-Univ. Bochum (RUB), Bochum, Germany"],"affiliations":[{"raw_affiliation_string":"Communication Systems, Ruhr-Universit\u00e4t-Bochum, Germany","institution_ids":["https://openalex.org/I904495901"]},{"raw_affiliation_string":"Dept. of Commun. Syst., Ruhr-Univ. Bochum (RUB), Bochum, Germany","institution_ids":["https://openalex.org/I2799784675","https://openalex.org/I904495901"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058238606","display_name":"Karlheinz Ochs","orcid":"https://orcid.org/0000-0002-1484-6125"},"institutions":[{"id":"https://openalex.org/I904495901","display_name":"Ruhr University Bochum","ror":"https://ror.org/04tsk2644","country_code":"DE","type":"education","lineage":["https://openalex.org/I904495901"]},{"id":"https://openalex.org/I2799784675","display_name":"University Hospitals of the Ruhr-University of Bochum","ror":"https://ror.org/03zcpvf19","country_code":"DE","type":"healthcare","lineage":["https://openalex.org/I2799784675"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Karlheinz Ochs","raw_affiliation_strings":["Communication Systems, Ruhr-Universit\u00e4t-Bochum, Germany","Dept. of Commun. Syst., Ruhr-Univ. Bochum (RUB), Bochum, Germany"],"affiliations":[{"raw_affiliation_string":"Communication Systems, Ruhr-Universit\u00e4t-Bochum, Germany","institution_ids":["https://openalex.org/I904495901"]},{"raw_affiliation_string":"Dept. of Commun. Syst., Ruhr-Univ. Bochum (RUB), Bochum, Germany","institution_ids":["https://openalex.org/I2799784675","https://openalex.org/I904495901"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034269994","display_name":"Aydin Sezgin","orcid":"https://orcid.org/0000-0003-3511-2662"},"institutions":[{"id":"https://openalex.org/I904495901","display_name":"Ruhr University Bochum","ror":"https://ror.org/04tsk2644","country_code":"DE","type":"education","lineage":["https://openalex.org/I904495901"]},{"id":"https://openalex.org/I2799784675","display_name":"University Hospitals of the Ruhr-University of Bochum","ror":"https://ror.org/03zcpvf19","country_code":"DE","type":"healthcare","lineage":["https://openalex.org/I2799784675"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Aydin Sezgin","raw_affiliation_strings":["Communication Systems, Ruhr-Universit\u00e4t-Bochum, Germany","Dept. of Commun. Syst., Ruhr-Univ. Bochum (RUB), Bochum, Germany"],"affiliations":[{"raw_affiliation_string":"Communication Systems, Ruhr-Universit\u00e4t-Bochum, Germany","institution_ids":["https://openalex.org/I904495901"]},{"raw_affiliation_string":"Dept. of Commun. Syst., Ruhr-Univ. Bochum (RUB), Bochum, Germany","institution_ids":["https://openalex.org/I2799784675","https://openalex.org/I904495901"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5044765621"],"corresponding_institution_ids":["https://openalex.org/I2799784675","https://openalex.org/I904495901"],"apc_list":null,"apc_paid":null,"fwci":11.3098,"has_fulltext":false,"cited_by_count":43,"citation_normalized_percentile":{"value":0.98596465,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"1581","last_page":"1585"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9991000294685364,"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":0.9991000294685364,"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9990000128746033,"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":0.9983999729156494,"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/mimo","display_name":"MIMO","score":0.6853928565979004},{"id":"https://openalex.org/keywords/degrees-of-freedom","display_name":"Degrees of freedom (physics and chemistry)","score":0.5820677280426025},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.4808274507522583},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46633410453796387},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.4076504707336426},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.3427000045776367},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20397034287452698}],"concepts":[{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.6853928565979004},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.5820677280426025},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.4808274507522583},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46633410453796387},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.4076504707336426},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.3427000045776367},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20397034287452698},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2013.6620493","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2013.6620493","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.8199999928474426}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1480597717","https://openalex.org/W1530386473","https://openalex.org/W1982109272","https://openalex.org/W1984313855","https://openalex.org/W2010645529","https://openalex.org/W2025808533","https://openalex.org/W2057929374","https://openalex.org/W2081934635","https://openalex.org/W2092253947","https://openalex.org/W2098596014","https://openalex.org/W2117718985","https://openalex.org/W2132107720","https://openalex.org/W2132535032","https://openalex.org/W2145386092","https://openalex.org/W2478708596","https://openalex.org/W2951416149","https://openalex.org/W2963280740","https://openalex.org/W4205417298","https://openalex.org/W6656996811","https://openalex.org/W6677797783"],"related_works":["https://openalex.org/W2951020105","https://openalex.org/W1995243476","https://openalex.org/W4300013288","https://openalex.org/W2545343974","https://openalex.org/W2105507641","https://openalex.org/W4291895924","https://openalex.org/W2115734485","https://openalex.org/W1783583321","https://openalex.org/W2038397443","https://openalex.org/W2941374357"],"abstract_inverted_index":{"The":[0,27,38],"degrees":[1],"of":[2,5,14,25,107,178,184,197,219],"freedom":[3],"(DoF)":[4],"the":[6,54,57,63,69,105,113,118,135,143,146,150,153,157,170,176,179,185,208,211,217],"MIMO":[7],"Y-channel,":[8],"a":[9,18,43,162,195],"multi-way":[10],"communication":[11],"network":[12,50,70,144,180,190],"consisting":[13],"3":[15,154],"users":[16,155,212],"and":[17,34,59,102,112,138,156,164,188],"relay,":[19,114],"are":[20],"characterized":[21],"for":[22],"arbitrary":[23],"number":[24,106],"antennas.":[26],"converse":[28],"is":[29,40,66,139,167,181,192,201],"provided":[30],"by":[31,42],"cut-set":[32],"bounds":[33],"novel":[35],"genie-aided":[36],"bounds.":[37],"achievability":[39],"shown":[41,67,202],"scheme":[44],"that":[45,68,183,203],"uses":[46],"beamforming":[47],"to":[48,210],"establish":[49],"coding":[51,191],"on-the-fly":[52],"at":[53,109],"relay":[55,209],"in":[56,62,117],"uplink,":[58],"zero-forcing":[60],"pre-coding":[61],"downlink.":[64],"It":[65],"has":[71,145,213],"min{2M":[72],"<sub":[73,77,82,87,92,99,123,127,131],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[74,78,83,88,93,100,124,128,132],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[75,89,129],"+2M":[76],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">3</sub>":[79,94,133],",":[80],"M":[81,86,91,98,122],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[84,125],"+":[85,90],",2N}":[95],"DoF,":[96],"where":[97,121,173],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">j</sub>":[101],"N":[103],"represent":[104],"antennas":[108],"user":[110],"j":[111],"respectively.":[115],"Thus,":[116],"extreme":[119,172],"case":[120],"+M":[126,130],"dominates":[134],"DoF":[136,148,177,218],"expression":[137],"smaller":[140],"than":[141],"N,":[142],"same":[147],"as":[149],"MAC":[151],"between":[152],"relay.":[158],"In":[159,169],"this":[160,198,220],"case,":[161],"decode":[163],"forward":[165],"strategy":[166],"optimal.":[168],"other":[171],"2N":[174],"dominates,":[175],"twice":[182],"aforementioned":[186],"MAC,":[187],"hence":[189],"necessary.":[193],"As":[194],"byproduct":[196],"work,":[199],"it":[200],"channel":[204],"output":[205],"feedback":[206],"from":[207],"no":[214],"impact":[215],"on":[216],"channel.":[221]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":13},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}