{"id":"https://openalex.org/W2083579391","doi":"https://doi.org/10.1109/vetecf.2011.6092885","title":"Rate Optimization for Relay Precoding Design with Imperfect CSI in Two-Hop MIMO Relay Networks","display_name":"Rate Optimization for Relay Precoding Design with Imperfect CSI in Two-Hop MIMO Relay Networks","publication_year":2011,"publication_date":"2011-09-01","ids":{"openalex":"https://openalex.org/W2083579391","doi":"https://doi.org/10.1109/vetecf.2011.6092885","mag":"2083579391"},"language":"en","primary_location":{"id":"doi:10.1109/vetecf.2011.6092885","is_oa":false,"landing_page_url":"https://doi.org/10.1109/vetecf.2011.6092885","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE Vehicular Technology Conference (VTC Fall)","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/A5101062941","display_name":"Youhua Fu","orcid":null},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Youhua Fu","raw_affiliation_strings":["Nanjing University of Posts and Telecommunications, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033247734","display_name":"Wei\u2010Ping Zhu","orcid":null},"institutions":[{"id":"https://openalex.org/I60158472","display_name":"Concordia University","ror":"https://ror.org/0420zvk78","country_code":"CA","type":"education","lineage":["https://openalex.org/I60158472"]},{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CA","CN"],"is_corresponding":false,"raw_author_name":"Wei-Ping Zhu","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Concordia University, Montreal, Canada","Nanjing University of Posts and Telecommunications, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Concordia University, Montreal, Canada","institution_ids":["https://openalex.org/I60158472"]},{"raw_affiliation_string":"Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100322187","display_name":"Chen Liu","orcid":"https://orcid.org/0000-0002-9532-7721"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chen Liu","raw_affiliation_strings":["Nanjing University of Posts and Telecommunications, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101062941"],"corresponding_institution_ids":["https://openalex.org/I41198531"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.16063896,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"5"},"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":0.9991999864578247,"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":0.9969000220298767,"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":0.8244574069976807},{"id":"https://openalex.org/keywords/precoding","display_name":"Precoding","score":0.6902910470962524},{"id":"https://openalex.org/keywords/channel-state-information","display_name":"Channel state information","score":0.6702824831008911},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.5944059491157532},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5858705043792725},{"id":"https://openalex.org/keywords/mutual-information","display_name":"Mutual information","score":0.5496209859848022},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5059990286827087},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4927811920642853},{"id":"https://openalex.org/keywords/relay-channel","display_name":"Relay channel","score":0.48953208327293396},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.4613613486289978},{"id":"https://openalex.org/keywords/transmitter-power-output","display_name":"Transmitter power output","score":0.4549427330493927},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.420475035905838},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.4194168746471405},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.37049850821495056},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3564532399177551},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31706663966178894},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.26804235577583313},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.22538018226623535},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.20206433534622192},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.12977653741836548},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08898699283599854}],"concepts":[{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.8244574069976807},{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.6902910470962524},{"id":"https://openalex.org/C148063708","wikidata":"https://www.wikidata.org/wiki/Q5072511","display_name":"Channel state information","level":3,"score":0.6702824831008911},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.5944059491157532},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5858705043792725},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.5496209859848022},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5059990286827087},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4927811920642853},{"id":"https://openalex.org/C46257984","wikidata":"https://www.wikidata.org/wiki/Q7310895","display_name":"Relay channel","level":4,"score":0.48953208327293396},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.4613613486289978},{"id":"https://openalex.org/C65422117","wikidata":"https://www.wikidata.org/wiki/Q358527","display_name":"Transmitter power output","level":4,"score":0.4549427330493927},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.420475035905838},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.4194168746471405},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.37049850821495056},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3564532399177551},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31706663966178894},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.26804235577583313},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.22538018226623535},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.20206433534622192},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.12977653741836548},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08898699283599854},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/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/vetecf.2011.6092885","is_oa":false,"landing_page_url":"https://doi.org/10.1109/vetecf.2011.6092885","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE Vehicular Technology Conference (VTC Fall)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W391578156","https://openalex.org/W2042687712","https://openalex.org/W2058805808","https://openalex.org/W2087493784","https://openalex.org/W2092575814","https://openalex.org/W2098969228","https://openalex.org/W2099111195","https://openalex.org/W2109714708","https://openalex.org/W2113026489","https://openalex.org/W2114718436","https://openalex.org/W2119280464","https://openalex.org/W2120406684","https://openalex.org/W2140849781","https://openalex.org/W2296319761","https://openalex.org/W2610857016","https://openalex.org/W3148198191","https://openalex.org/W3179903767","https://openalex.org/W4250589301"],"related_works":["https://openalex.org/W2116541631","https://openalex.org/W2514205366","https://openalex.org/W3173074004","https://openalex.org/W2578955643","https://openalex.org/W1976511355","https://openalex.org/W1976249538","https://openalex.org/W2544668827","https://openalex.org/W2082469387","https://openalex.org/W1985632843","https://openalex.org/W1965566556"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,61,134],"relay":[4,19,50,63,155],"precoding":[5],"scheme":[6],"under":[7,166],"the":[8,37,44,48,54,74,78,81,86,89,97,102,114,121,143,147,153],"imperfect":[9,75],"channel":[10,31,148],"state":[11],"information":[12,57,92],"(CSI)assumption":[13],"for":[14,43],"two-hop":[15],"amplify-and-forward":[16],"based":[17],"MIMO":[18],"networks":[20],"with":[21,60,162],"one":[22,24],"source,":[23],"destination":[25],"and":[26,33,94,146],"multiple":[27],"relays.":[28,82],"The":[29,150],"forward":[30],"mean":[32],"covariance":[34],"available":[35],"at":[36,77,80],"relays":[38],"is":[39,70,118,124,131,157],"assumed":[40],"to":[41,164],"be":[42,139],"robust":[45],"design":[46],"of":[47,88,113,152],"linear":[49],"precoder.":[51],"By":[52],"using":[53],"average":[55,90],"mutual":[56,91],"criterion":[58],"along":[59],"total":[62],"transmitting":[64],"power":[65],"constraint,":[66],"an":[67,110],"optimization":[68,99,107,129],"problem":[69,100,104,115],"formulated":[71],"by":[72,142,159],"assuming":[73],"CSIT(CSI":[76],"transmitter)":[79],"We":[83],"first":[84],"derive":[85],"approximation":[87],"rate,":[93],"then":[95],"simplify":[96],"constrained":[98],"into":[101],"equivalent":[103],"involving":[105],"scalar":[106],"variables.":[108],"Through":[109],"in-depth":[111],"study":[112],"formulation,":[116],"it":[117],"revealed":[119],"that":[120,165],"objective":[122],"function":[123],"convex":[125],"only":[126],"when":[127],"each":[128],"variable":[130],"larger":[132],"than":[133],"certain":[135],"threshold,":[136],"which":[137],"can":[138],"determined":[140],"mainly":[141],"system":[144],"configurations":[145],"condition.":[149],"effectiveness":[151],"proposed":[154],"precoder":[156],"validated":[158],"Monte-Carlo":[160],"simulations":[161],"comparison":[163],"perfect":[167],"CSI":[168],"assumption.":[169]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
