{"id":"https://openalex.org/W2964148212","doi":"https://doi.org/10.1109/isit.2016.7541621","title":"Capacity and power scaling laws for finite antenna amplify-and-forward relay networks","display_name":"Capacity and power scaling laws for finite antenna amplify-and-forward relay networks","publication_year":2016,"publication_date":"2016-07-01","ids":{"openalex":"https://openalex.org/W2964148212","doi":"https://doi.org/10.1109/isit.2016.7541621","mag":"2964148212"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2016.7541621","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2016.7541621","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-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/A5072151705","display_name":"Nidhi Simmons","orcid":"https://orcid.org/0000-0002-8076-9607"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"David Simmons","raw_affiliation_strings":["Department of Engineering Science, University of Oxford, Parks Road, OX1 3PJ, UK","Department of Engineering Science, University of Oxford, Oxford, UK"],"affiliations":[{"raw_affiliation_string":"Department of Engineering Science, University of Oxford, Parks Road, OX1 3PJ, UK","institution_ids":["https://openalex.org/I40120149"]},{"raw_affiliation_string":"Department of Engineering Science, University of Oxford, Oxford, UK","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001680231","display_name":"Justin P. Coon","orcid":"https://orcid.org/0000-0002-9623-5087"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Justin P. Coon","raw_affiliation_strings":["Department of Engineering Science, University of Oxford, Parks Road, OX1 3PJ, UK","Department of Engineering Science, University of Oxford, Oxford, UK"],"affiliations":[{"raw_affiliation_string":"Department of Engineering Science, University of Oxford, Parks Road, OX1 3PJ, UK","institution_ids":["https://openalex.org/I40120149"]},{"raw_affiliation_string":"Department of Engineering Science, University of Oxford, Oxford, UK","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058592450","display_name":"Naqueeb Ahmad Warsi","orcid":"https://orcid.org/0000-0003-0521-967X"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Naqueeb Warsi","raw_affiliation_strings":["Department of Engineering Science, University of Oxford, Parks Road, OX1 3PJ, UK","Department of Engineering Science, University of Oxford, Oxford, UK"],"affiliations":[{"raw_affiliation_string":"Department of Engineering Science, University of Oxford, Parks Road, OX1 3PJ, UK","institution_ids":["https://openalex.org/I40120149"]},{"raw_affiliation_string":"Department of Engineering Science, University of Oxford, Oxford, UK","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5072151705"],"corresponding_institution_ids":["https://openalex.org/I40120149"],"apc_list":null,"apc_paid":null,"fwci":0.911,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.80762399,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1859","last_page":"1863"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9973999857902527,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9958000183105469,"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/rayleigh-fading","display_name":"Rayleigh fading","score":0.6794641017913818},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.6558168530464172},{"id":"https://openalex.org/keywords/relay","display_name":"Relay","score":0.5776515007019043},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.5494402050971985},{"id":"https://openalex.org/keywords/fading","display_name":"Fading","score":0.520179271697998},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5084385275840759},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.4909265339374542},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.4908486008644104},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.488993763923645},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4296184182167053},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.4234023690223694},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.4158293604850769},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3850056231021881},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.3577570617198944},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.3222772479057312},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.2986082136631012},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16692060232162476},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13770022988319397},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07914096117019653}],"concepts":[{"id":"https://openalex.org/C56985126","wikidata":"https://www.wikidata.org/wiki/Q854039","display_name":"Rayleigh fading","level":4,"score":0.6794641017913818},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.6558168530464172},{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.5776515007019043},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5494402050971985},{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.520179271697998},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5084385275840759},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.4909265339374542},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.4908486008644104},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.488993763923645},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4296184182167053},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.4234023690223694},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.4158293604850769},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3850056231021881},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.3577570617198944},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.3222772479057312},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.2986082136631012},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16692060232162476},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13770022988319397},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07914096117019653},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2016.7541621","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2016.7541621","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.46000000834465027}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1493404746","https://openalex.org/W1510037631","https://openalex.org/W1514057982","https://openalex.org/W1564650420","https://openalex.org/W1987528562","https://openalex.org/W2094438648","https://openalex.org/W2102015892","https://openalex.org/W2120947124","https://openalex.org/W2151544711","https://openalex.org/W2156048454","https://openalex.org/W2158738435","https://openalex.org/W2241343425","https://openalex.org/W2267284928","https://openalex.org/W2704149575","https://openalex.org/W2963410385","https://openalex.org/W3104359459","https://openalex.org/W4229746864","https://openalex.org/W4292366057","https://openalex.org/W4300223101","https://openalex.org/W6630411947","https://openalex.org/W6633705561","https://openalex.org/W6682745690","https://openalex.org/W6690322239"],"related_works":["https://openalex.org/W1979229270","https://openalex.org/W2539674285","https://openalex.org/W1038122923","https://openalex.org/W1998322187","https://openalex.org/W2795180473","https://openalex.org/W2090373650","https://openalex.org/W2383416193","https://openalex.org/W1985056652","https://openalex.org/W4389457771","https://openalex.org/W2042172774"],"abstract_inverted_index":{"A":[0],"novel":[1],"framework":[2,45],"is":[3],"presented":[4],"that":[5],"can":[6,46],"be":[7,47],"used":[8],"to":[9,49,77,142],"study":[10],"the":[11,58,62,86,91,100,104,110,113,117,126,130,144],"capacity":[12,111],"and":[13,38],"power":[14,89],"scaling":[15],"of":[16,61,72,112],"linear":[17],"multiple-input":[18],"multiple-output":[19],"(MIMO)":[20],"d\u00d7d":[21],"antenna":[22],"amplify-and-forward":[23],"(AF)":[24],"relay":[25],"networks.":[26],"In":[27],"particular,":[28],"we":[29,137],"model":[30],"these":[31],"networks":[32],"as":[33],"random":[34],"dynamical":[35],"systems":[36,50],"(RDS)":[37],"calculate":[39],"their":[40],"d":[41],"Lyapunov":[42,107,133],"exponents.":[43],"Our":[44,80],"applied":[48],"with":[51],"any":[52],"per-hop":[53],"channel":[54,63],"fading":[55],"distribution":[56],"provided":[57],"expected":[59],"logarithm":[60],"matrices'":[64],"norms":[65],"are":[66,83],"finite;":[67],"in":[68],"this":[69],"contribution":[70],"all":[71],"our":[73],"results":[74,82],"relate":[75],"specifically":[76],"Rayleigh":[78],"fading.":[79],"main":[81],"twofold:":[84],"1)":[85],"total":[87],"transmit":[88],"at":[90,116],"nth":[92,118],"node":[93,119],"will":[94,120],"follow":[95,121],"a":[96,122],"deterministic":[97,123],"trajectory":[98,124],"through":[99,125],"network":[101,127],"governed":[102,128],"by":[103,129],"network's":[105,131],"maximum":[106],"exponent,":[108],"2)":[109],"ith":[114,132],"eigenchannel":[115],"exponent.":[134],"Before":[135],"concluding,":[136],"present":[138],"some":[139],"numerical":[140],"examples":[141],"highlight":[143],"theory.":[145]},"counts_by_year":[{"year":2017,"cited_by_count":3}],"updated_date":"2026-03-25T13:04:00.132906","created_date":"2025-10-10T00:00:00"}
