{"id":"https://openalex.org/W1995038875","doi":"https://doi.org/10.3390/e14122589","title":"Capacity Bounds and Mapping Design for Binary Symmetric Relay Channels","display_name":"Capacity Bounds and Mapping Design for Binary Symmetric Relay Channels","publication_year":2012,"publication_date":"2012-12-17","ids":{"openalex":"https://openalex.org/W1995038875","doi":"https://doi.org/10.3390/e14122589","mag":"1995038875"},"language":"en","primary_location":{"id":"doi:10.3390/e14122589","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e14122589","pdf_url":"https://www.mdpi.com/1099-4300/14/12/2589/pdf?version=1424784912","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"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/14/12/2589/pdf?version=1424784912","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034504833","display_name":"Majid Nasiri Khormuji","orcid":"https://orcid.org/0000-0003-0196-7371"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Majid Khormuji","raw_affiliation_strings":["School of Electrical Engineering and ACCESS Linnaeus Center, Royal Institute of Technology (KTH), Stockholm, 100 44, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and ACCESS Linnaeus Center, Royal Institute of Technology (KTH), Stockholm, 100 44, Sweden","institution_ids":["https://openalex.org/I86987016"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041348422","display_name":"Mikael Skoglund","orcid":"https://orcid.org/0000-0002-7926-5081"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Mikael Skoglund","raw_affiliation_strings":["School of Electrical Engineering and ACCESS Linnaeus Center, Royal Institute of Technology (KTH), Stockholm, 100 44, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and ACCESS Linnaeus Center, Royal Institute of Technology (KTH), Stockholm, 100 44, Sweden","institution_ids":["https://openalex.org/I86987016"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5034504833","https://openalex.org/A5041348422"],"corresponding_institution_ids":["https://openalex.org/I86987016"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.3726,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.62605529,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"14","issue":"12","first_page":"2589","last_page":"2610"},"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.995199978351593,"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":0.9930999875068665,"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":0.8793452382087708},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.6711481809616089},{"id":"https://openalex.org/keywords/relay-channel","display_name":"Relay channel","score":0.6486367583274841},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.6065441966056824},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.6016258001327515},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5326877236366272},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5106168389320374},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5021131038665771},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.49366459250450134},{"id":"https://openalex.org/keywords/binary-symmetric-channel","display_name":"Binary symmetric channel","score":0.4746863543987274},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.46648600697517395},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4647815227508545},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37554991245269775},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.2680560350418091},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.21574145555496216},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.18731018900871277},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.14372217655181885},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1083625853061676},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07856941223144531},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.06576278805732727}],"concepts":[{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.8793452382087708},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.6711481809616089},{"id":"https://openalex.org/C46257984","wikidata":"https://www.wikidata.org/wiki/Q7310895","display_name":"Relay channel","level":4,"score":0.6486367583274841},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.6065441966056824},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.6016258001327515},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5326877236366272},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5106168389320374},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5021131038665771},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.49366459250450134},{"id":"https://openalex.org/C173988684","wikidata":"https://www.wikidata.org/wiki/Q863510","display_name":"Binary symmetric channel","level":4,"score":0.4746863543987274},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.46648600697517395},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4647815227508545},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37554991245269775},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.2680560350418091},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.21574145555496216},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.18731018900871277},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.14372217655181885},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1083625853061676},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07856941223144531},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.06576278805732727},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/e14122589","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e14122589","pdf_url":"https://www.mdpi.com/1099-4300/14/12/2589/pdf?version=1424784912","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":"pmh:oai:CiteSeerX.psu:10.1.1.304.3636","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.304.3636","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mdpi.com/1099-4300/14/12/2589/pdf/","raw_type":"text"},{"id":"pmh:oai:doaj.org/article:727af2fa2c614842b48bef050ed45881","is_oa":true,"landing_page_url":"https://doaj.org/article/727af2fa2c614842b48bef050ed45881","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 14, Iss 12, Pp 2589-2610 (2012)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/14/12/2589/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e14122589","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 14; Issue 12; Pages: 2589-2610","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e14122589","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e14122589","pdf_url":"https://www.mdpi.com/1099-4300/14/12/2589/pdf?version=1424784912","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":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.4099999964237213}],"awards":[],"funders":[{"id":"https://openalex.org/F4320322581","display_name":"Vetenskapsr\u00e5det","ror":"https://ror.org/03zttf063"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1995038875.pdf","grobid_xml":"https://content.openalex.org/works/W1995038875.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W1971536606","https://openalex.org/W1992244412","https://openalex.org/W2035863668","https://openalex.org/W2098567664","https://openalex.org/W2102387201","https://openalex.org/W2108119235","https://openalex.org/W2112848326","https://openalex.org/W2115733635","https://openalex.org/W2121916661","https://openalex.org/W2130347036","https://openalex.org/W2135999218","https://openalex.org/W2139311918","https://openalex.org/W2140296776","https://openalex.org/W2143157029","https://openalex.org/W2146818257","https://openalex.org/W2148963518","https://openalex.org/W2152121970","https://openalex.org/W2155150064","https://openalex.org/W2164283616","https://openalex.org/W2167447263","https://openalex.org/W2170157845","https://openalex.org/W2501012592","https://openalex.org/W6680851824","https://openalex.org/W6682349706"],"related_works":["https://openalex.org/W2608897767","https://openalex.org/W2963768675","https://openalex.org/W2153829573","https://openalex.org/W2099376255","https://openalex.org/W2004047158","https://openalex.org/W2993015344","https://openalex.org/W2119153672","https://openalex.org/W1559320887","https://openalex.org/W2039188918","https://openalex.org/W2185155656"],"abstract_inverted_index":{"Capacity":[0],"bounds":[1],"for":[2,48],"a":[3,76],"three-node":[4],"binary":[5],"symmetric":[6],"relay":[7,51,73],"channel":[8],"with":[9,40],"orthogonal":[10],"components":[11],"at":[12],"the":[13,22,50,64,67,71,83,87,109,120,123],"destination":[14],"are":[15,34,43,91],"studied.":[16],"The":[17,55],"cut-set":[18],"upper":[19],"bound":[20],"and":[21,30],"rates":[23,84],"achievable":[24],"using":[25,86],"decode-and-forward":[26],"(DF),":[27],"partial":[28],"DF":[29,105,117],"compress-and-forward":[31],"(CF)":[32],"relaying":[33,38,112,118],"first":[35],"evaluated.":[36],"Then":[37],"strategies":[39],"finite":[41],"memory-length":[42],"considered.":[44],"An":[45],"efficient":[46],"algorithm":[47],"optimizing":[49],"functions":[52,74,90],"is":[53,59,126],"presented.":[54],"Boolean":[56],"Fourier":[57],"transform":[58],"then":[60],"employed":[61],"to":[62,94,101,131],"unveil":[63],"structure":[65],"of":[66,122,133],"optimized":[68,72,88,110],"mappings.":[69],"Interestingly,":[70],"exhibit":[75],"simple":[77],"structure.":[78],"Numerical":[79],"results":[80],"illustrate":[81],"that":[82,132],"achieved":[85,96,103],"low-dimensional":[89,111],"either":[92],"comparable":[93,130],"those":[95,102],"by":[97,104],"CF":[98],"or":[99,129],"superior":[100],"relaying.":[106],"In":[107],"particular,":[108],"scheme":[113],"can":[114],"improve":[115],"on":[116],"when":[119],"quality":[121],"source-relay":[124],"link":[125],"worse":[127],"than":[128],"other":[134],"links.":[135]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}