{"id":"https://openalex.org/W4289995967","doi":"https://doi.org/10.3390/e24081078","title":"Degrees of Freedom of a K-User Interference Channel in the Presence of an Instantaneous Relay","display_name":"Degrees of Freedom of a K-User Interference Channel in the Presence of an Instantaneous Relay","publication_year":2022,"publication_date":"2022-08-04","ids":{"openalex":"https://openalex.org/W4289995967","doi":"https://doi.org/10.3390/e24081078","pmid":"https://pubmed.ncbi.nlm.nih.gov/36010743"},"language":"en","primary_location":{"id":"doi:10.3390/e24081078","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e24081078","pdf_url":"https://www.mdpi.com/1099-4300/24/8/1078/pdf?version=1659613123","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/24/8/1078/pdf?version=1659613123","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088161110","display_name":"Ali H. Abdollahi Bafghi","orcid":"https://orcid.org/0000-0001-5418-7120"},"institutions":[{"id":"https://openalex.org/I133529467","display_name":"Sharif University of Technology","ror":"https://ror.org/024c2fq17","country_code":"IR","type":"education","lineage":["https://openalex.org/I133529467"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Ali H. Abdollahi Bafghi","raw_affiliation_strings":["Department of Electrical Engineering, Sharif University of Technology, Tehran P932+FM4, Iran"],"raw_orcid":"https://orcid.org/0000-0001-5418-7120","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Sharif University of Technology, Tehran P932+FM4, Iran","institution_ids":["https://openalex.org/I133529467"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035804797","display_name":"Mahtab Mirmohseni","orcid":"https://orcid.org/0000-0002-5247-5820"},"institutions":[{"id":"https://openalex.org/I28290843","display_name":"University of Surrey","ror":"https://ror.org/00ks66431","country_code":"GB","type":"education","lineage":["https://openalex.org/I28290843"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Mahtab Mirmohseni","raw_affiliation_strings":["Institute for Communication Systems (ICS), University of Surrey, Guildford GU2 7XH, UK"],"raw_orcid":"https://orcid.org/0000-0002-5247-5820","affiliations":[{"raw_affiliation_string":"Institute for Communication Systems (ICS), University of Surrey, Guildford GU2 7XH, UK","institution_ids":["https://openalex.org/I28290843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067494745","display_name":"Masoumeh Nasiri\u2010Kenari","orcid":"https://orcid.org/0000-0002-2290-4460"},"institutions":[{"id":"https://openalex.org/I133529467","display_name":"Sharif University of Technology","ror":"https://ror.org/024c2fq17","country_code":"IR","type":"education","lineage":["https://openalex.org/I133529467"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Masoumeh Nasiri-Kenari","raw_affiliation_strings":["Department of Electrical Engineering, Sharif University of Technology, Tehran P932+FM4, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Sharif University of Technology, Tehran P932+FM4, Iran","institution_ids":["https://openalex.org/I133529467"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5035804797"],"corresponding_institution_ids":["https://openalex.org/I28290843"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2227},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2227},"fwci":0.453,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.62162644,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"24","issue":"8","first_page":"1078","last_page":"1078"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9994999766349792,"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":0.9994999766349792,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9994999766349792,"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/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"}}],"keywords":[{"id":"https://openalex.org/keywords/interference","display_name":"Interference (communication)","score":0.7518976926803589},{"id":"https://openalex.org/keywords/degrees-of-freedom","display_name":"Degrees of freedom (physics and chemistry)","score":0.7259023785591125},{"id":"https://openalex.org/keywords/relay","display_name":"Relay","score":0.6928002834320068},{"id":"https://openalex.org/keywords/single-antenna-interference-cancellation","display_name":"Single antenna interference cancellation","score":0.6794500350952148},{"id":"https://openalex.org/keywords/antenna","display_name":"Antenna (radio)","score":0.5959082841873169},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5676115155220032},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5665780901908875},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.5303659439086914},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.48836132884025574},{"id":"https://openalex.org/keywords/multiplexing","display_name":"Multiplexing","score":0.48099076747894287},{"id":"https://openalex.org/keywords/co-channel-interference","display_name":"Co-channel interference","score":0.4231744706630707},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.38442954421043396},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31112509965896606},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.269153356552124},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10973963141441345},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.08580911159515381}],"concepts":[{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.7518976926803589},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.7259023785591125},{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.6928002834320068},{"id":"https://openalex.org/C83204339","wikidata":"https://www.wikidata.org/wiki/Q7523915","display_name":"Single antenna interference cancellation","level":3,"score":0.6794500350952148},{"id":"https://openalex.org/C21822782","wikidata":"https://www.wikidata.org/wiki/Q131214","display_name":"Antenna (radio)","level":2,"score":0.5959082841873169},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5676115155220032},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5665780901908875},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.5303659439086914},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.48836132884025574},{"id":"https://openalex.org/C19275194","wikidata":"https://www.wikidata.org/wiki/Q222903","display_name":"Multiplexing","level":2,"score":0.48099076747894287},{"id":"https://openalex.org/C6532628","wikidata":"https://www.wikidata.org/wiki/Q5137431","display_name":"Co-channel interference","level":4,"score":0.4231744706630707},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.38442954421043396},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31112509965896606},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.269153356552124},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10973963141441345},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.08580911159515381},{"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}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/e24081078","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e24081078","pdf_url":"https://www.mdpi.com/1099-4300/24/8/1078/pdf?version=1659613123","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:36010743","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/36010743","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:doaj.org/article:a33706b307c848c8bb75def7df76c3d5","is_oa":true,"landing_page_url":"https://doaj.org/article/a33706b307c848c8bb75def7df76c3d5","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 24, Iss 8, p 1078 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/24/8/1078/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e24081078","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy; Volume 24; Issue 8; Pages: 1078","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:9407170","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/9407170","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e24081078","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e24081078","pdf_url":"https://www.mdpi.com/1099-4300/24/8/1078/pdf?version=1659613123","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4289995967.pdf"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W1481578368","https://openalex.org/W1966350893","https://openalex.org/W1968738707","https://openalex.org/W1979408141","https://openalex.org/W1979928556","https://openalex.org/W1999293575","https://openalex.org/W2001300302","https://openalex.org/W2001904840","https://openalex.org/W2004261797","https://openalex.org/W2012454404","https://openalex.org/W2050801061","https://openalex.org/W2053738266","https://openalex.org/W2090481840","https://openalex.org/W2108051184","https://openalex.org/W2136180028","https://openalex.org/W2136608712","https://openalex.org/W2149193269","https://openalex.org/W2153829573","https://openalex.org/W2168383967","https://openalex.org/W2168448439","https://openalex.org/W2240505936","https://openalex.org/W2327182705","https://openalex.org/W2328966239","https://openalex.org/W2478708596","https://openalex.org/W2546947172","https://openalex.org/W2553379155","https://openalex.org/W2588302239","https://openalex.org/W2626815945","https://openalex.org/W2901906205","https://openalex.org/W2963121727","https://openalex.org/W3012334974","https://openalex.org/W3015518827","https://openalex.org/W3035386068","https://openalex.org/W3037231455","https://openalex.org/W3042544305","https://openalex.org/W3049465408","https://openalex.org/W3080375276","https://openalex.org/W4205426731","https://openalex.org/W4226330086","https://openalex.org/W6701653549","https://openalex.org/W7037264985"],"related_works":["https://openalex.org/W4300339363","https://openalex.org/W2539350","https://openalex.org/W2112135249","https://openalex.org/W2136872012","https://openalex.org/W2963918445","https://openalex.org/W2769578293","https://openalex.org/W2964237009","https://openalex.org/W1622406225","https://openalex.org/W1997347257","https://openalex.org/W1988754820"],"abstract_inverted_index":{"In":[0,89,207],"this":[1,87,189],"paper,":[2],"we":[3,42,76,94,142],"study":[4],"the":[5,17,36,45,58,68,83,114,123,126,138,146,159,169,185,196,204,215,221],"degrees":[6],"of":[7,10,19,61,71,86,113,116,148,162,172,191,209,223],"freedom":[8],"(DoF)":[9],"a":[11,111,231],"frequency-selective":[12],"K-user":[13],"interference":[14,91,135],"channel":[15],"in":[16],"presence":[18],"an":[20,90,134,144],"instantaneous":[21],"relay":[22],"(IR)":[23],"with":[24,53,154,203],"multiple":[25],"receiving":[26,47,73,175,226],"and":[27,48,56,75,79,102,157,181,225],"transmitting":[28,49,63,164,224],"antennas.":[29],"We":[30,105,177,193],"investigate":[31],"two":[32,98],"scenarios":[33],"based":[34],"on":[35,67,168],"IR":[37,46,127],"antennas\u2019":[38],"cooperation":[39],"ability.":[40],"First,":[41],"assume":[43],"that":[44,57,110,195],"antennas":[50,147,227],"can":[51,65,119,128],"coordinate":[52],"each":[54,62,155,163],"other":[55,156],"transmitted":[59,160],"signal":[60,161,171],"antenna":[64,165],"depend":[66],"received":[69,170],"signals":[70],"all":[72],"antennas,":[74],"derive":[77,179],"lower":[78,180],"upper":[80,182],"bounds":[81,183],"for":[82,133,184,188],"sum":[84,186,198,218],"DoF":[85,187,199,219],"model.":[88],"alignment":[92],"scheme,":[93],"divide":[95],"receivers":[96,118],"into":[97],"groups":[99],"called":[100],"clean":[101,117,139],"dirty":[103],"receivers.":[104,140],"design":[106],"our":[107,212],"scheme":[108],"such":[109],"part":[112],"messages":[115],"be":[120],"de-multiplexed":[121],"at":[122,137],"IR.":[124,192],"Thus,":[125],"use":[129],"these":[130,210],"message":[131],"streams":[132],"cancellation":[136],"Next,":[141],"consider":[143],"IR,":[145],"which":[149],"do":[150],"not":[151],"have":[152],"coordination":[153],"where":[158],"depends":[166],"only":[167],"its":[173],"corresponding":[174],"antenna.":[176],"also":[178],"model":[190],"show":[194],"achievable":[197],"decreases":[200],"considerably":[201],"compared":[202],"coordinated":[205],"case.":[206],"both":[208],"models,":[211],"schemes":[213],"achieve":[214],"maximum":[216],"K":[217],"if":[220],"number":[222],"is":[228],"more":[229],"than":[230],"finite":[232],"threshold.":[233]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2022-08-06T00:00:00"}