{"id":"https://openalex.org/W3194645875","doi":"https://doi.org/10.1109/tit.2021.3104847","title":"Uplink-Downlink Duality Between Multiple-Access and Broadcast Channels With Compressing Relays","display_name":"Uplink-Downlink Duality Between Multiple-Access and Broadcast Channels With Compressing Relays","publication_year":2021,"publication_date":"2021-08-16","ids":{"openalex":"https://openalex.org/W3194645875","doi":"https://doi.org/10.1109/tit.2021.3104847","mag":"3194645875"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2021.3104847","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2021.3104847","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","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/A5004292048","display_name":"Liang Liu","orcid":"https://orcid.org/0000-0002-6509-9609"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Liang Liu","raw_affiliation_strings":["Department of Electronic and Information Engineering, The Hong Kong Polytechnic University, Hong Kong SAR, China"],"raw_orcid":"https://orcid.org/0000-0002-6509-9609","affiliations":[{"raw_affiliation_string":"Department of Electronic and Information Engineering, The Hong Kong Polytechnic University, Hong Kong SAR, China","institution_ids":["https://openalex.org/I14243506"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020753840","display_name":"Ya\u2010Feng Liu","orcid":"https://orcid.org/0000-0002-9684-9150"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ya-Feng Liu","raw_affiliation_strings":["State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-9684-9150","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046424748","display_name":"Pratik Patil","orcid":"https://orcid.org/0000-0002-7200-3572"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]},{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["CA","US"],"is_corresponding":false,"raw_author_name":"Pratik Patil","raw_affiliation_strings":["Department of Statistics and Data Science, Machine Learning Department Carnegie Mellon University, Pittsburgh, PA, USA","The Edward S. Rogers Sr. Department of Electrical and Computer Engineering, University of Toronto, Toronto, Canada"],"raw_orcid":"https://orcid.org/0000-0002-7200-3572","affiliations":[{"raw_affiliation_string":"Department of Statistics and Data Science, Machine Learning Department Carnegie Mellon University, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"The Edward S. Rogers Sr. Department of Electrical and Computer Engineering, University of Toronto, Toronto, Canada","institution_ids":["https://openalex.org/I185261750"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004681822","display_name":"Wei Yu","orcid":"https://orcid.org/0000-0002-7453-422X"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Wei Yu","raw_affiliation_strings":["The Edward S. Rogers Sr. Department of Electrical and Computer Engineering, University of Toronto, Toronto, Canada"],"raw_orcid":"https://orcid.org/0000-0002-7453-422X","affiliations":[{"raw_affiliation_string":"The Edward S. Rogers Sr. Department of Electrical and Computer Engineering, University of Toronto, Toronto, Canada","institution_ids":["https://openalex.org/I185261750"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8182,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.85049497,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"67","issue":"11","first_page":"7304","last_page":"7337"},"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9998999834060669,"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":0.9988999962806702,"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/telecommunications-link","display_name":"Telecommunications link","score":0.9308270215988159},{"id":"https://openalex.org/keywords/relay","display_name":"Relay","score":0.6712813973426819},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6001654863357544},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.49956512451171875},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.4818609654903412},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.46041280031204224},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.4447310268878937},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37583041191101074},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3135831654071808},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.2534925043582916},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.19193601608276367},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.08710119128227234}],"concepts":[{"id":"https://openalex.org/C138660444","wikidata":"https://www.wikidata.org/wiki/Q5607897","display_name":"Telecommunications link","level":2,"score":0.9308270215988159},{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.6712813973426819},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6001654863357544},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.49956512451171875},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.4818609654903412},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.46041280031204224},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.4447310268878937},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37583041191101074},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3135831654071808},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.2534925043582916},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.19193601608276367},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.08710119128227234},{"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":1,"locations":[{"id":"doi:10.1109/tit.2021.3104847","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2021.3104847","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3553588891","display_name":null,"funder_award_id":"12021001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3907981520","display_name":null,"funder_award_id":"11991021","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4292439307","display_name":null,"funder_award_id":"P0030001","funder_id":"https://openalex.org/F4320322598","funder_display_name":"Hong Kong Polytechnic University"},{"id":"https://openalex.org/G4323983085","display_name":null,"funder_award_id":"12022116","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6157611754","display_name":null,"funder_award_id":"11991020","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6967058303","display_name":null,"funder_award_id":"11688101","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"},{"id":"https://openalex.org/F4320322598","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W1698719573","https://openalex.org/W1970767514","https://openalex.org/W1976109068","https://openalex.org/W1976454628","https://openalex.org/W2004101329","https://openalex.org/W2012762704","https://openalex.org/W2050815608","https://openalex.org/W2059607526","https://openalex.org/W2075870768","https://openalex.org/W2099111195","https://openalex.org/W2101653184","https://openalex.org/W2101727634","https://openalex.org/W2103749601","https://openalex.org/W2109005286","https://openalex.org/W2110323470","https://openalex.org/W2121233130","https://openalex.org/W2122337065","https://openalex.org/W2123531758","https://openalex.org/W2124412092","https://openalex.org/W2129562390","https://openalex.org/W2130613910","https://openalex.org/W2132100261","https://openalex.org/W2137815964","https://openalex.org/W2138960193","https://openalex.org/W2152003438","https://openalex.org/W2161410889","https://openalex.org/W2161473225","https://openalex.org/W2162636480","https://openalex.org/W2164171933","https://openalex.org/W2164271287","https://openalex.org/W2166266048","https://openalex.org/W2167249094","https://openalex.org/W2286275639","https://openalex.org/W2338770003","https://openalex.org/W2514483739","https://openalex.org/W2583916142","https://openalex.org/W2610350904","https://openalex.org/W2962700135","https://openalex.org/W2962750265","https://openalex.org/W2963113796","https://openalex.org/W2963116507","https://openalex.org/W2963477078","https://openalex.org/W2963491643","https://openalex.org/W2963757186","https://openalex.org/W2963976549","https://openalex.org/W2964214824","https://openalex.org/W3099602767","https://openalex.org/W3101609953","https://openalex.org/W4229706427","https://openalex.org/W4250589301","https://openalex.org/W4300840296"],"related_works":["https://openalex.org/W2548963335","https://openalex.org/W2159941915","https://openalex.org/W1995129237","https://openalex.org/W1761601995","https://openalex.org/W4300468626","https://openalex.org/W2904599916","https://openalex.org/W2097713053","https://openalex.org/W2909457694","https://openalex.org/W4321608401","https://openalex.org/W3040536194"],"abstract_inverted_index":{"Uplink-downlink":[0],"duality":[1,98,253],"refers":[2],"to":[3,36,229,242],"the":[4,11,51,54,64,67,76,79,111,114,124,135,140,167,171,175,180,188,191,208,213,225,230,235,238,243,248,261,269],"fact":[5],"that":[6,113,122,165,212],"under":[7,53,110,123,179],"a":[8,15,20,37,57,91,97,102,198,202],"sum-power":[9,176],"constraint,":[10],"capacity":[12],"regions":[13,138],"of":[14,56,139,221],"Gaussian":[16,21,141],"multiple-access":[17,103,142],"channel":[18,23,27,105],"and":[19,66,78,106,130,143,155,183,190,211,215,264],"broadcast":[22,107,144],"with":[24],"Hermitian":[25],"transposed":[26],"matrices":[28],"are":[29,45,69,81,147,159,164,173,218],"identical.":[30],"This":[31,252],"paper":[32,95],"generalizes":[33],"this":[34,62,94],"result":[35],"cooperative":[38],"cellular":[39],"network,":[40],"in":[41,49,186],"which":[42],"remote":[43],"access-points":[44],"deployed":[46],"as":[47],"relays":[48,68,77,115,172],"serving":[50],"users":[52,65],"coordination":[55],"central":[58],"processor":[59],"(CP).":[60],"In":[61],"model,":[63],"connected":[70,82],"over":[71,83],"noisy":[72],"wireless":[73],"links,":[74],"while":[75],"CP":[80],"noiseless":[84],"but":[85],"rate-limited":[86],"fronthaul":[87,132,184,245],"links.":[88],"Based":[89],"on":[90,207,268],"Lagrangian":[92,219],"technique,":[93,210],"establishes":[96],"relationship":[99,254],"between":[100],"such":[101],"relay":[104,108,145],"channel,":[109],"assumption":[112],"use":[116],"compression-based":[117],"strategies.":[118],"Specifically,":[119],"we":[120],"show":[121],"same":[125],"total":[126],"transmit":[127],"power":[128],"constraint":[129],"individual":[131],"rate":[133,137,182,232],"constraints,":[134],"achievable":[136,181],"channels":[146],"identical,":[148],"when":[149],"either":[150,197],"independent":[151],"compression":[152,157,209],"or":[153,201],"Wyner-Ziv":[154],"multivariate":[156],"strategies":[158,266],"used.":[160],"The":[161],"key":[162],"observations":[163],"if":[166],"beamforming":[168],"vectors":[169],"at":[170],"fixed,":[174],"minimization":[177],"problems":[178,217],"constraints":[185,233,246],"both":[187],"uplink":[189,214,236,249],"downlink":[192,216,231,244,262],"can":[193],"be":[194],"transformed":[195],"into":[196],"linear":[199],"programming":[200,204],"semidefinite":[203],"problem":[205],"depending":[206],"duals":[220],"each":[222],"other.":[223],"Moreover,":[224],"dual":[226,239],"variables":[227,240],"corresponding":[228,241],"become":[234,247],"powers;":[237],"quantization":[250],"noises.":[251],"enables":[255],"an":[256],"efficient":[257],"algorithm":[258],"for":[259],"optimizing":[260],"transmission":[263],"relaying":[265],"based":[267],"uplink.":[270]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}
