{"id":"https://openalex.org/W2884646870","doi":"https://doi.org/10.3390/e20080547","title":"Achievable Rate Region under Linear Beamforming for Dual-Hop Multiple-Access Relay Network","display_name":"Achievable Rate Region under Linear Beamforming for Dual-Hop Multiple-Access Relay Network","publication_year":2018,"publication_date":"2018-07-24","ids":{"openalex":"https://openalex.org/W2884646870","doi":"https://doi.org/10.3390/e20080547","mag":"2884646870","pmid":"https://pubmed.ncbi.nlm.nih.gov/33265636"},"language":"en","primary_location":{"id":"doi:10.3390/e20080547","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e20080547","pdf_url":"https://www.mdpi.com/1099-4300/20/8/547/pdf?version=1532431439","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/1099-4300/20/8/547/pdf?version=1532431439","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024683849","display_name":"Guiguo Feng","orcid":"https://orcid.org/0000-0002-4060-7515"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guiguo Feng","raw_affiliation_strings":["The State Key Laboratory of Integrated Services Network, Xidian University, Xi\u2019an 710071, China","The State Key Laboratory of Integrated Services Network, Xidian University, Xi'an 710071, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The State Key Laboratory of Integrated Services Network, Xidian University, Xi\u2019an 710071, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"The State Key Laboratory of Integrated Services Network, Xidian University, Xi'an 710071, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082799773","display_name":"Wangmei Guo","orcid":"https://orcid.org/0000-0001-9729-0005"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wangmei Guo","raw_affiliation_strings":["The State Key Laboratory of Integrated Services Network, Xidian University, Xi\u2019an 710071, China","The State Key Laboratory of Integrated Services Network, Xidian University, Xi'an 710071, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The State Key Laboratory of Integrated Services Network, Xidian University, Xi\u2019an 710071, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"The State Key Laboratory of Integrated Services Network, Xidian University, Xi'an 710071, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052853009","display_name":"Binyue Liu","orcid":"https://orcid.org/0000-0002-8446-7016"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Binyue Liu","raw_affiliation_strings":["Bell Labs., Alcatel-Lucent, Shanghai 201206, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bell Labs., Alcatel-Lucent, Shanghai 201206, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5082799773"],"corresponding_institution_ids":["https://openalex.org/I149594827"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.5926,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.71655808,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"20","issue":"8","first_page":"547","last_page":"547"},"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/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"}},{"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"}}],"keywords":[{"id":"https://openalex.org/keywords/relay","display_name":"Relay","score":0.8639174103736877},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.8533158302307129},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6024664044380188},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5187480449676514},{"id":"https://openalex.org/keywords/hop","display_name":"Hop (telecommunications)","score":0.513279914855957},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4542534649372101},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4311799705028534},{"id":"https://openalex.org/keywords/linear-network-coding","display_name":"Linear network coding","score":0.42398083209991455},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4037590026855469},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29763996601104736},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.28099751472473145},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.26977717876434326},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.25194689631462097},{"id":"https://openalex.org/keywords/network-packet","display_name":"Network packet","score":0.0971095860004425}],"concepts":[{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.8639174103736877},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.8533158302307129},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6024664044380188},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5187480449676514},{"id":"https://openalex.org/C25906391","wikidata":"https://www.wikidata.org/wiki/Q1432381","display_name":"Hop (telecommunications)","level":2,"score":0.513279914855957},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4542534649372101},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4311799705028534},{"id":"https://openalex.org/C138293262","wikidata":"https://www.wikidata.org/wiki/Q1089578","display_name":"Linear network coding","level":3,"score":0.42398083209991455},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4037590026855469},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29763996601104736},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28099751472473145},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.26977717876434326},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.25194689631462097},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.0971095860004425},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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":5,"locations":[{"id":"doi:10.3390/e20080547","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e20080547","pdf_url":"https://www.mdpi.com/1099-4300/20/8/547/pdf?version=1532431439","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:33265636","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33265636","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:d0a7c0c1cd0c4c51a1d3317bb36054e2","is_oa":true,"landing_page_url":"https://doaj.org/article/d0a7c0c1cd0c4c51a1d3317bb36054e2","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 20, Iss 8, p 547 (2018)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/20/8/547/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/e20080547","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","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:7513072","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7513072","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/e20080547","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e20080547","pdf_url":"https://www.mdpi.com/1099-4300/20/8/547/pdf?version=1532431439","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":[{"id":"https://openalex.org/G7639116144","display_name":null,"funder_award_id":"No. 61301178 and No. 61271174","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W391578156","https://openalex.org/W1512023314","https://openalex.org/W1973754512","https://openalex.org/W1975924625","https://openalex.org/W1996215314","https://openalex.org/W2028341742","https://openalex.org/W2029871200","https://openalex.org/W2048057186","https://openalex.org/W2098360731","https://openalex.org/W2099111195","https://openalex.org/W2113026489","https://openalex.org/W2113831696","https://openalex.org/W2124412092","https://openalex.org/W2128757878","https://openalex.org/W2138203492","https://openalex.org/W2149556832","https://openalex.org/W2152121970","https://openalex.org/W2152496949","https://openalex.org/W2240029447","https://openalex.org/W2284399157","https://openalex.org/W2296319761","https://openalex.org/W2610857016","https://openalex.org/W2739590060","https://openalex.org/W2963103095","https://openalex.org/W3144673228","https://openalex.org/W3162729421","https://openalex.org/W4250589301","https://openalex.org/W6674992222"],"related_works":["https://openalex.org/W2539674285","https://openalex.org/W1998322187","https://openalex.org/W1038122923","https://openalex.org/W2952514781","https://openalex.org/W3019210376","https://openalex.org/W2391145594","https://openalex.org/W2326572623","https://openalex.org/W1559320887","https://openalex.org/W2151578621","https://openalex.org/W2519669146"],"abstract_inverted_index":{"Consider":[0],"a":[1,9,13,21,52],"network":[2,18,26],"consisting":[3],"of":[4,70,120,134],"two":[5],"independent":[6],"single-antenna":[7,10],"sources,":[8],"destination":[11,50],"and":[12,125],"helping":[14],"multiple-antenna":[15],"relay.":[16,99],"This":[17],"is":[19,81],"called":[20],"dual-hop":[22],"multiple":[23],"access":[24],"relay":[25,35,43],"(MARN).":[27],"In":[28,61],"this":[29,62],"network,":[30],"sources":[31],"transmit":[32],"to":[33,48,84,93,106],"the":[34,38,45,49,57,66,98,117,121,126,132,135],"simultaneously":[36],"in":[37,56],"first":[39,82],"time":[40,59],"slot.":[41,60],"The":[42,75],"retransmits":[44],"received":[46],"sum-signal":[47],"using":[51],"linear":[53,73,94],"beamforming":[54,95],"scheme":[55],"second":[58],"paper,":[63],"we":[64,101],"characterize":[65],"achievable":[67,76],"rate":[68,77],"region":[69,78],"MARN":[71],"under":[72],"beamforming.":[74],"characterization":[79],"problem":[80,90],"transformed":[83],"an":[85,103],"equivalent":[86],"\"corner":[87],"point\"":[88],"optimization":[89],"with":[91],"respect":[92],"matrix":[96],"at":[97],"Then,":[100],"present":[102],"efficient":[104],"algorithm":[105],"solve":[107],"it":[108],"via":[109],"only":[110],"semi-definite":[111],"programming":[112],"(SDP).":[113],"We":[114],"further":[115],"derive":[116],"mathematical":[118],"close-forms":[119],"maximum":[122],"individual":[123],"rates":[124],"sum-rate.":[127],"Finally,":[128],"numerical":[129],"results":[130],"demonstrate":[131],"performance":[133],"proposed":[136],"schemes.":[137]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-05-20T08:49:12.498775","created_date":"2025-10-10T00:00:00"}