{"id":"https://openalex.org/W2070085078","doi":"https://doi.org/10.1155/2009/634296","title":"Lower Bounds on the Capacity of the Relay Channel with States at the Source","display_name":"Lower Bounds on the Capacity of the Relay Channel with States at the Source","publication_year":2009,"publication_date":"2009-08-11","ids":{"openalex":"https://openalex.org/W2070085078","doi":"https://doi.org/10.1155/2009/634296","mag":"2070085078"},"language":"en","primary_location":{"id":"doi:10.1155/2009/634296","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2009/634296","pdf_url":null,"source":{"id":"https://openalex.org/S82675988","display_name":"EURASIP Journal on Wireless Communications and Networking","issn_l":"1687-1472","issn":["1687-1472","1687-1499"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Wireless Communications and Networking","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1155/2009/634296","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014906072","display_name":"Abdellatif Zaidi","orcid":"https://orcid.org/0000-0003-2023-9476"},"institutions":[{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Abdellatif Zaidi","raw_affiliation_strings":["\u00c9cole Polytechnique de Louvain, Universit\u00e9 Catholique de Louvain, Louvain La Neuve, 1348, Belgium","\u00c9cole Polytechnique de Louvain, Universit\u00e9 Catholique de Louvain, Louvain-la-Neuve, Belgium"],"affiliations":[{"raw_affiliation_string":"\u00c9cole Polytechnique de Louvain, Universit\u00e9 Catholique de Louvain, Louvain La Neuve, 1348, Belgium","institution_ids":["https://openalex.org/I95674353"]},{"raw_affiliation_string":"\u00c9cole Polytechnique de Louvain, Universit\u00e9 Catholique de Louvain, Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000909128","display_name":"Luc Vandendorpe","orcid":"https://orcid.org/0000-0003-4958-8848"},"institutions":[{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Luc Vandendorpe","raw_affiliation_strings":["\u00c9cole Polytechnique de Louvain, Universit\u00e9 Catholique de Louvain, Louvain La Neuve, 1348, Belgium","\u00c9cole Polytechnique de Louvain, Universit\u00e9 Catholique de Louvain, Louvain-la-Neuve, Belgium"],"affiliations":[{"raw_affiliation_string":"\u00c9cole Polytechnique de Louvain, Universit\u00e9 Catholique de Louvain, Louvain La Neuve, 1348, Belgium","institution_ids":["https://openalex.org/I95674353"]},{"raw_affiliation_string":"\u00c9cole Polytechnique de Louvain, Universit\u00e9 Catholique de Louvain, Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5014906072"],"corresponding_institution_ids":["https://openalex.org/I95674353"],"apc_list":{"value":1140,"currency":"GBP","value_usd":1398},"apc_paid":{"value":1140,"currency":"GBP","value_usd":1398},"fwci":3.9525,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.93620586,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"2009","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9998000264167786,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9998000264167786,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9997000098228455,"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":0.9970999956130981,"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-channel","display_name":"Relay channel","score":0.8618354201316833},{"id":"https://openalex.org/keywords/relay","display_name":"Relay","score":0.846551775932312},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.625652551651001},{"id":"https://openalex.org/keywords/decodes","display_name":"Decodes","score":0.6220602989196777},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.554743230342865},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.527146577835083},{"id":"https://openalex.org/keywords/dirty-paper-coding","display_name":"Dirty paper coding","score":0.5235597491264343},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4995555877685547},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.48883765935897827},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4414733648300171},{"id":"https://openalex.org/keywords/channel-state-information","display_name":"Channel state information","score":0.4370189905166626},{"id":"https://openalex.org/keywords/linear-network-coding","display_name":"Linear network coding","score":0.4301567077636719},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.4186614155769348},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.36413541436195374},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.35918742418289185},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32294246554374695},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.31069666147232056},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.254130095243454},{"id":"https://openalex.org/keywords/precoding","display_name":"Precoding","score":0.11292564868927002},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09839138388633728},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09485799074172974},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.0902658998966217},{"id":"https://openalex.org/keywords/network-packet","display_name":"Network packet","score":0.07450008392333984}],"concepts":[{"id":"https://openalex.org/C46257984","wikidata":"https://www.wikidata.org/wiki/Q7310895","display_name":"Relay channel","level":4,"score":0.8618354201316833},{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.846551775932312},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.625652551651001},{"id":"https://openalex.org/C2778858076","wikidata":"https://www.wikidata.org/wiki/Q5249539","display_name":"Decodes","level":3,"score":0.6220602989196777},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.554743230342865},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.527146577835083},{"id":"https://openalex.org/C2780186295","wikidata":"https://www.wikidata.org/wiki/Q3305007","display_name":"Dirty paper coding","level":5,"score":0.5235597491264343},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4995555877685547},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.48883765935897827},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4414733648300171},{"id":"https://openalex.org/C148063708","wikidata":"https://www.wikidata.org/wiki/Q5072511","display_name":"Channel state information","level":3,"score":0.4370189905166626},{"id":"https://openalex.org/C138293262","wikidata":"https://www.wikidata.org/wiki/Q1089578","display_name":"Linear network coding","level":3,"score":0.4301567077636719},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.4186614155769348},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.36413541436195374},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.35918742418289185},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32294246554374695},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.31069666147232056},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.254130095243454},{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.11292564868927002},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09839138388633728},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09485799074172974},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0902658998966217},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.07450008392333984},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"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/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2009/634296","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2009/634296","pdf_url":null,"source":{"id":"https://openalex.org/S82675988","display_name":"EURASIP Journal on Wireless Communications and Networking","issn_l":"1687-1472","issn":["1687-1472","1687-1499"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Wireless Communications and Networking","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-00832459v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00832459","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"EURASIP Journal on Wireless Communications and Networking, 2009, pp.1-23. ⟨10.1155/2009/634296⟩","raw_type":"Journal articles"},{"id":"pmh:oai:dial.uclouvain.be:boreal:35172","is_oa":false,"landing_page_url":"http://hdl.handle.net/2078.1/35172","pdf_url":null,"source":{"id":"https://openalex.org/S4306401974","display_name":"DIAL (Catholic University of Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Eurasip Journal On Wireless Communications And Networking, (2009)","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:3f4dda71db2c4202a6457b27d0e33fbe","is_oa":true,"landing_page_url":"https://doaj.org/article/3f4dda71db2c4202a6457b27d0e33fbe","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"EURASIP Journal on Wireless Communications and Networking, Vol 2009 (2009)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2009/634296","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2009/634296","pdf_url":null,"source":{"id":"https://openalex.org/S82675988","display_name":"EURASIP Journal on Wireless Communications and Networking","issn_l":"1687-1472","issn":["1687-1472","1687-1499"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Wireless Communications and Networking","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Partnerships for the goals","score":0.5400000214576721,"id":"https://metadata.un.org/sdg/17"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1549664537","https://openalex.org/W1620839552","https://openalex.org/W1970816336","https://openalex.org/W1976109068","https://openalex.org/W1986389751","https://openalex.org/W2025341518","https://openalex.org/W2026450574","https://openalex.org/W2060158123","https://openalex.org/W2068028939","https://openalex.org/W2084402110","https://openalex.org/W2087705319","https://openalex.org/W2089743117","https://openalex.org/W2100964406","https://openalex.org/W2102617152","https://openalex.org/W2105332922","https://openalex.org/W2110016660","https://openalex.org/W2111668044","https://openalex.org/W2114973618","https://openalex.org/W2117207825","https://openalex.org/W2121916661","https://openalex.org/W2127154945","https://openalex.org/W2127802830","https://openalex.org/W2129948980","https://openalex.org/W2131229447","https://openalex.org/W2132381936","https://openalex.org/W2138203492","https://openalex.org/W2142901448","https://openalex.org/W2143664144","https://openalex.org/W2147021066","https://openalex.org/W2152121970","https://openalex.org/W2154164662","https://openalex.org/W2155150064","https://openalex.org/W2158364442","https://openalex.org/W2165390028","https://openalex.org/W2167447263","https://openalex.org/W2167577564","https://openalex.org/W3169111758"],"related_works":["https://openalex.org/W2124731181","https://openalex.org/W3145239493","https://openalex.org/W1965566556","https://openalex.org/W2336256848","https://openalex.org/W2164498744","https://openalex.org/W1926841076","https://openalex.org/W2965073098","https://openalex.org/W2110065573","https://openalex.org/W2013757387","https://openalex.org/W2103160470"],"abstract_inverted_index":{"We":[0,47,160,193],"consider":[1,137],"a":[2,85,196,210,277],"state-dependent":[3],"three-terminal":[4],"full-duplex":[5],"relay":[6,23,45,94,121,145,172,294],"channel":[7,10,53,138,215],"with":[8,38,198],"the":[9,16,22,26,52,64,67,71,79,93,98,102,106,114,120,124,127,133,144,148,164,168,171,175,180,188,204,214,221,239,273,285,288,292,301],"states":[11],"noncausally":[12],"available":[13],"at":[14,21,25,78,238],"only":[15,96],"source,":[17,80,128],"that":[18,119,129,272,291],"is,":[19,130],"neither":[20],"nor":[24],"destination.":[27],"This":[28],"model":[29,197],"has":[30],"application":[31],"to":[32,105,170,174,250,282],"cooperation":[33],"over":[34],"certain":[35],"wireless":[36],"channels":[37],"asymmetric":[39],"cognition":[40],"capabilities":[41],"and":[42,60,84,147,173,183,241,256,299],"cognitive":[43],"interference":[44,236,289],"channels.":[46],"establish":[48,209],"lower":[49,72,109,211,222],"bounds":[50,223],"on":[51,152,163,187,213],"capacity":[54],"for":[55,70,220],"both":[56],"discrete":[57],"memoryless":[58],"(DM)":[59],"Gaussian":[61,134,157],"cases.":[62],"For":[63,132,201],"DM":[65],"case,":[66,135],"coding":[68,91,218,229,263],"scheme":[69],"bound":[73,110,212],"uses":[74,276],"techniques":[75,225],"of":[76,143,190,203,226,279,287],"rate-splitting":[77],"decode-and-forward":[81,242],"(DF)":[82],"relaying,":[83],"Gel'fand-Pinsker-like":[86],"binning":[87],"scheme.":[88],"In":[89],"this":[90,108,297],"scheme,":[92],"decodes":[95,122],"partially":[97,283],"information":[99,125],"sent":[100],"by":[101,117,179,248],"source.":[103],"Due":[104],"rate-splitting,":[107],"is":[111],"better":[112],"than":[113],"one":[115],"obtained":[116],"assuming":[118],"all":[123],"from":[126,296],"full-DF.":[131],"we":[136,185,208],"models":[139],"in":[140,166,269,304],"which":[141,167],"each":[142,202],"node":[146,150],"destination":[149,176],"experiences":[151],"its":[153,257,280],"link":[154],"an":[155],"additive":[156],"outside":[158],"interference.":[159],"first":[161,205],"focus":[162,186],"case":[165,189],"links":[169],"are":[177],"corrupted":[178],"same":[181],"interference;":[182],"then":[184],"independent":[191],"interferences.":[192,200],"also":[194],"discuss":[195],"correlated":[199],"two":[206],"models,":[207],"capacity.":[216],"The":[217,244],"schemes":[219],"use":[224],"dirty":[227,234,254,261],"paper":[228,255,262],"or":[230],"carbon":[231,251],"copying":[232,252],"onto":[233,253],"paper,":[235],"reduction":[237],"source":[240,275,302],"relaying.":[243],"results":[245],"reveal":[246],"that,":[247],"opposition":[249],"root":[258],"Costa's":[259],"initial":[260],"(DPC),":[264],"it":[265],"may":[266],"be":[267],"beneficial":[268],"our":[270],"setup":[271],"informed":[274],"part":[278],"power":[281],"cancel":[284],"effect":[286],"so":[290,300],"uninformed":[293],"benefits":[295,303],"cancellation,":[298],"turn.":[305]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":3}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}