{"id":"https://openalex.org/W2964219914","doi":"https://doi.org/10.1109/twc.2017.2665544","title":"On the Degrees of Freedom of MIMO X Networks With Non-Cooperation Transmitters","display_name":"On the Degrees of Freedom of MIMO X Networks With Non-Cooperation Transmitters","publication_year":2017,"publication_date":"2017-03-14","ids":{"openalex":"https://openalex.org/W2964219914","doi":"https://doi.org/10.1109/twc.2017.2665544","mag":"2964219914"},"language":"en","primary_location":{"id":"doi:10.1109/twc.2017.2665544","is_oa":false,"landing_page_url":"https://doi.org/10.1109/twc.2017.2665544","pdf_url":null,"source":{"id":"https://openalex.org/S63459445","display_name":"IEEE Transactions on Wireless Communications","issn_l":"1536-1276","issn":["1536-1276","1558-2248"],"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 Wireless Communications","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/A5022577233","display_name":"Tengda Ying","orcid":"https://orcid.org/0000-0001-7033-0820"},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Tengda Ying","raw_affiliation_strings":["College of Communication Engineering, Chongqing University, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0001-7033-0820","affiliations":[{"raw_affiliation_string":"College of Communication Engineering, Chongqing University, Chongqing, China","institution_ids":["https://openalex.org/I158842170"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057193300","display_name":"Wenjiang Feng","orcid":"https://orcid.org/0000-0002-8615-8620"},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenjiang Feng","raw_affiliation_strings":["College of Communication Engineering, Chongqing University, Chongqing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Communication Engineering, Chongqing University, Chongqing, China","institution_ids":["https://openalex.org/I158842170"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068643057","display_name":"Weifeng Su","orcid":"https://orcid.org/0000-0002-2287-8995"},"institutions":[{"id":"https://openalex.org/I63190737","display_name":"University at Buffalo, State University of New York","ror":"https://ror.org/01y64my43","country_code":"US","type":"education","lineage":["https://openalex.org/I63190737"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Weifeng Su","raw_affiliation_strings":["Department of Electrical Engineering, State University of New York, Buffalo, NY, USA"],"raw_orcid":"https://orcid.org/0000-0002-2287-8995","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, State University of New York, Buffalo, NY, USA","institution_ids":["https://openalex.org/I63190737"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088474393","display_name":"Weiheng Jiang","orcid":"https://orcid.org/0000-0002-1856-8337"},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weiheng Jiang","raw_affiliation_strings":["College of Communication Engineering, Chongqing University, Chongqing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Communication Engineering, Chongqing University, Chongqing, China","institution_ids":["https://openalex.org/I158842170"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5022577233"],"corresponding_institution_ids":["https://openalex.org/I158842170"],"apc_list":null,"apc_paid":null,"fwci":0.5844,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.71917169,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"16","issue":"4","first_page":"2490","last_page":"2504"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":1.0,"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":1.0,"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/T11392","display_name":"Energy Harvesting in Wireless Networks","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/T12791","display_name":"Full-Duplex Wireless Communications","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"}}],"keywords":[{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.8258225917816162},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.8064990639686584},{"id":"https://openalex.org/keywords/precoding","display_name":"Precoding","score":0.803490400314331},{"id":"https://openalex.org/keywords/channel-state-information","display_name":"Channel state information","score":0.7079846858978271},{"id":"https://openalex.org/keywords/interference-alignment","display_name":"Interference alignment","score":0.67087322473526},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6690555214881897},{"id":"https://openalex.org/keywords/interference","display_name":"Interference (communication)","score":0.6502859592437744},{"id":"https://openalex.org/keywords/degrees-of-freedom","display_name":"Degrees of freedom (physics and chemistry)","score":0.6384074091911316},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5560688376426697},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.5544165372848511},{"id":"https://openalex.org/keywords/zero-forcing-precoding","display_name":"Zero-forcing precoding","score":0.5418977737426758},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.4920341670513153},{"id":"https://openalex.org/keywords/antenna","display_name":"Antenna (radio)","score":0.48706987500190735},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.47976574301719666},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.3336077332496643},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28161507844924927},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.20225229859352112},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10424917936325073},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07445290684700012},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06575855612754822}],"concepts":[{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.8258225917816162},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.8064990639686584},{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.803490400314331},{"id":"https://openalex.org/C148063708","wikidata":"https://www.wikidata.org/wiki/Q5072511","display_name":"Channel state information","level":3,"score":0.7079846858978271},{"id":"https://openalex.org/C2982854036","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference alignment","level":4,"score":0.67087322473526},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6690555214881897},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.6502859592437744},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.6384074091911316},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5560688376426697},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.5544165372848511},{"id":"https://openalex.org/C155437304","wikidata":"https://www.wikidata.org/wiki/Q8069444","display_name":"Zero-forcing precoding","level":5,"score":0.5418977737426758},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.4920341670513153},{"id":"https://openalex.org/C21822782","wikidata":"https://www.wikidata.org/wiki/Q131214","display_name":"Antenna (radio)","level":2,"score":0.48706987500190735},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.47976574301719666},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.3336077332496643},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28161507844924927},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.20225229859352112},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10424917936325073},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07445290684700012},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06575855612754822},{"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/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/twc.2017.2665544","is_oa":false,"landing_page_url":"https://doi.org/10.1109/twc.2017.2665544","pdf_url":null,"source":{"id":"https://openalex.org/S63459445","display_name":"IEEE Transactions on Wireless Communications","issn_l":"1536-1276","issn":["1536-1276","1558-2248"],"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 Wireless Communications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4300000071525574,"id":"https://metadata.un.org/sdg/17","display_name":"Partnerships for the goals"}],"awards":[{"id":"https://openalex.org/G1196672476","display_name":null,"funder_award_id":"CYB14042","funder_id":"https://openalex.org/F4320321135","funder_display_name":"Chongqing University"},{"id":"https://openalex.org/G5106440198","display_name":null,"funder_award_id":"106112016CDJXY500003","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G7875436660","display_name":null,"funder_award_id":"0903005203375","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321135","display_name":"Chongqing University","ror":"https://ror.org/023rhb549"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1693364095","https://openalex.org/W1972597942","https://openalex.org/W1979408141","https://openalex.org/W1992354662","https://openalex.org/W2002469179","https://openalex.org/W2019107953","https://openalex.org/W2047814558","https://openalex.org/W2057450804","https://openalex.org/W2080383262","https://openalex.org/W2088404815","https://openalex.org/W2106549261","https://openalex.org/W2106697356","https://openalex.org/W2108897727","https://openalex.org/W2111772171","https://openalex.org/W2113817460","https://openalex.org/W2124982134","https://openalex.org/W2136608712","https://openalex.org/W2158756365","https://openalex.org/W2168448439","https://openalex.org/W2171263842","https://openalex.org/W2200991597","https://openalex.org/W2217718762","https://openalex.org/W2543858098","https://openalex.org/W2570151474","https://openalex.org/W2763552505","https://openalex.org/W3101004873","https://openalex.org/W3105238962","https://openalex.org/W3125864775","https://openalex.org/W4250958385","https://openalex.org/W4295958697","https://openalex.org/W6637668438"],"related_works":["https://openalex.org/W2111825998","https://openalex.org/W2082469387","https://openalex.org/W1979957996","https://openalex.org/W1731022149","https://openalex.org/W2083202929","https://openalex.org/W1996933839","https://openalex.org/W2963438473","https://openalex.org/W4300895095","https://openalex.org/W2037307649","https://openalex.org/W1976511355"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"novel":[3,92],"transmission":[4],"schemes":[5],"for":[6,82,102,134],"a":[7,66,73,91,121,169],"class":[8,68],"of":[9,21,23,45,69,189],"interference":[10,70,76,124],"networks":[11],"that":[12,51,62,128,177],"can":[13,194],"achieve":[14,58],"new":[15],"tradeoff":[16],"regions":[17],"between":[18],"the":[19,39,46,83,109,135,145,149,173,179,190,198,203],"sum":[20],"degrees":[22],"freedom":[24],"(sum-DoF)":[25],"and":[26,35,53,165,181,187],"channel":[27,89],"state":[28],"information":[29],"(CSI)":[30],"feedback":[31],"delay":[32],"with":[33,115],"distributed":[34,52,74,122,146],"temperately-delayed":[36,54],"CSI":[37],"at":[38],"transmitter":[40,159],"(CSIT).":[41],"A":[42],"significant":[43],"impact":[44],"results":[47],"is":[48,80],"they":[49],"reveal":[50],"CSIT":[55,64,183],"contributes":[56],"to":[57,148,197,202],"better":[59],"sum-DoF":[60,133,175],"than":[61,108,131],"without":[63],"in":[65,113,178],"certain":[67,103],"networks.":[71],"Specifically,":[72],"space-time":[75],"alignment":[77,125],"(STIA)":[78],"scheme":[79,127],"proposed":[81],"two-user":[84],"multiple-input":[85,152],"multiple-output":[86],"(MIMO)":[87],"X":[88,140,155,192],"via":[90],"precoding":[93],"method":[94],"called":[95],"Cyclic":[96],"Zero-padding.":[97],"The":[98,185],"achieved":[99],"sum-DoFs":[100,112],"herein":[101],"antenna":[104],"configurations":[105],"are":[106],"greater":[107],"best":[110],"known":[111],"literature":[114],"delayed":[116],"CSIT.":[117],"Furthermore,":[118],"we":[119,143],"propose":[120],"retrospective":[123],"(RIA)":[126],"achieves":[129],"more":[130],"1":[132,163],"K-user":[136],"single-input":[137],"single-output":[138,153],"(SISO)":[139],"network.":[141],"Finally,":[142],"extend":[144],"STIA":[147],"M\u00d7N":[150],"user":[151],"(MISO)":[154],"network,":[156],"where":[157],"each":[158,166],"has":[160,168],"N":[161],"-":[162],"antennas":[164],"receiver":[167],"single":[170],"antenna,":[171],"yielding":[172],"same":[174],"as":[176],"global":[180],"instantaneous":[182],"case.":[184],"discussion":[186],"result":[188],"MISO":[191],"network":[193],"be":[195],"extended":[196],"MIMO":[199],"case":[200],"due":[201],"spatial":[204],"scale":[205],"invariance":[206],"property.":[207]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}