{"id":"https://openalex.org/W4313034165","doi":"https://doi.org/10.1109/tvt.2022.3213752","title":"Precoder Design for Multi-Hop Cognitive MIMO Relay Systems With Finite-Alphabet Inputs","display_name":"Precoder Design for Multi-Hop Cognitive MIMO Relay Systems With Finite-Alphabet Inputs","publication_year":2022,"publication_date":"2022-10-11","ids":{"openalex":"https://openalex.org/W4313034165","doi":"https://doi.org/10.1109/tvt.2022.3213752"},"language":"en","primary_location":{"id":"doi:10.1109/tvt.2022.3213752","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2022.3213752","pdf_url":null,"source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"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 Vehicular Technology","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/A5101794919","display_name":"Baojun Chen","orcid":"https://orcid.org/0000-0002-7870-3828"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Baojun Chen","raw_affiliation_strings":["School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0002-7870-3828","affiliations":[{"raw_affiliation_string":"School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049764215","display_name":"Xiaodong Zhu","orcid":null},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaodong Zhu","raw_affiliation_strings":["School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0002-2431-1730","affiliations":[{"raw_affiliation_string":"School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044324928","display_name":"Xiaodong Tu","orcid":"https://orcid.org/0000-0002-4303-7087"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaodong Tu","raw_affiliation_strings":["School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0002-4303-7087","affiliations":[{"raw_affiliation_string":"School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I150229711"],"apc_list":null,"apc_paid":null,"fwci":0.8016,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.73991674,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"72","issue":"2","first_page":"2231","last_page":"2245"},"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/T12791","display_name":"Full-Duplex Wireless Communications","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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9994999766349792,"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":0.7429340481758118},{"id":"https://openalex.org/keywords/precoding","display_name":"Precoding","score":0.6545629501342773},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.6059079170227051},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.58009934425354},{"id":"https://openalex.org/keywords/channel-state-information","display_name":"Channel state information","score":0.5791904926300049},{"id":"https://openalex.org/keywords/cognitive-radio","display_name":"Cognitive radio","score":0.5280065536499023},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.48842278122901917},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.4869493246078491},{"id":"https://openalex.org/keywords/linear-network-coding","display_name":"Linear network coding","score":0.4380641281604767},{"id":"https://openalex.org/keywords/transmitter-power-output","display_name":"Transmitter power output","score":0.42482370138168335},{"id":"https://openalex.org/keywords/nondeterministic-algorithm","display_name":"Nondeterministic algorithm","score":0.42097312211990356},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3681281507015228},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.332179456949234},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32969915866851807},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.2733428478240967},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.24847224354743958},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.2452879548072815},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23678120970726013},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.18453434109687805},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.15330836176872253},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.1260075867176056}],"concepts":[{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.7429340481758118},{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.6545629501342773},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.6059079170227051},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.58009934425354},{"id":"https://openalex.org/C148063708","wikidata":"https://www.wikidata.org/wiki/Q5072511","display_name":"Channel state information","level":3,"score":0.5791904926300049},{"id":"https://openalex.org/C149946192","wikidata":"https://www.wikidata.org/wiki/Q3235733","display_name":"Cognitive radio","level":3,"score":0.5280065536499023},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.48842278122901917},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.4869493246078491},{"id":"https://openalex.org/C138293262","wikidata":"https://www.wikidata.org/wiki/Q1089578","display_name":"Linear network coding","level":3,"score":0.4380641281604767},{"id":"https://openalex.org/C65422117","wikidata":"https://www.wikidata.org/wiki/Q358527","display_name":"Transmitter power output","level":4,"score":0.42482370138168335},{"id":"https://openalex.org/C176181172","wikidata":"https://www.wikidata.org/wiki/Q3490301","display_name":"Nondeterministic algorithm","level":2,"score":0.42097312211990356},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3681281507015228},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.332179456949234},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32969915866851807},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.2733428478240967},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.24847224354743958},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.2452879548072815},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23678120970726013},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.18453434109687805},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.15330836176872253},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.1260075867176056},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","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/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tvt.2022.3213752","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2022.3213752","pdf_url":null,"source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"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 Vehicular Technology","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4","score":0.49000000953674316}],"awards":[{"id":"https://openalex.org/G6435353203","display_name":null,"funder_award_id":"ZYGX2016J013","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G6441304510","display_name":null,"funder_award_id":"ZYGX2015J015","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W1518039036","https://openalex.org/W1985823567","https://openalex.org/W1996215314","https://openalex.org/W2024607354","https://openalex.org/W2032976052","https://openalex.org/W2041380420","https://openalex.org/W2047658157","https://openalex.org/W2063773941","https://openalex.org/W2064333058","https://openalex.org/W2094877794","https://openalex.org/W2102015892","https://openalex.org/W2103127461","https://openalex.org/W2103972604","https://openalex.org/W2107400920","https://openalex.org/W2109310734","https://openalex.org/W2113198493","https://openalex.org/W2121916661","https://openalex.org/W2127980469","https://openalex.org/W2129142692","https://openalex.org/W2140684029","https://openalex.org/W2147431204","https://openalex.org/W2151544711","https://openalex.org/W2152658128","https://openalex.org/W2167447263","https://openalex.org/W2213621529","https://openalex.org/W2335236342","https://openalex.org/W2337134536","https://openalex.org/W2462057299","https://openalex.org/W2537164320","https://openalex.org/W2559328514","https://openalex.org/W2591733062","https://openalex.org/W2621687753","https://openalex.org/W2651680065","https://openalex.org/W2738259880","https://openalex.org/W2762841927","https://openalex.org/W2895968727","https://openalex.org/W2950944913","https://openalex.org/W2958886665","https://openalex.org/W2964248347","https://openalex.org/W2967756164","https://openalex.org/W2990866132","https://openalex.org/W3089816148","https://openalex.org/W3103833233","https://openalex.org/W3154878987","https://openalex.org/W3202921856","https://openalex.org/W4229706427","https://openalex.org/W4250589301","https://openalex.org/W4292363360"],"related_works":["https://openalex.org/W2116541631","https://openalex.org/W2167568384","https://openalex.org/W2514205366","https://openalex.org/W3173074004","https://openalex.org/W1976511355","https://openalex.org/W2544668827","https://openalex.org/W2082469387","https://openalex.org/W1985632843","https://openalex.org/W2728807107","https://openalex.org/W2962837930"],"abstract_inverted_index":{"This":[0],"paper":[1,60],"investigates":[2],"the":[3,20,28,43,49,62,80,84,89,92,97,100,107,111,125,128,147,155,161,164,174,181,194,197],"precoder":[4,115],"design":[5],"in":[6,117],"a":[7,169],"multi-hop":[8],"multiple-input":[9],"multiple-output":[10],"(MIMO)":[11],"relay":[12,37],"system":[13,86],"with":[14,53,180],"cognitive":[15],"radio.":[16],"We":[17],"assume":[18],"that":[19,42],"source":[21,44,93],"node":[22,30,105],"(secondary":[23,31,39],"user)":[24,32],"sends":[25],"data":[26],"to":[27,64,78,110,185,192],"destination":[29],"by":[33,87,159],"means":[34],"of":[35,83,99,163,196],"multiple":[36],"nodes":[38,126],"users),":[40],"and":[41,45,94,106,144],"relays":[46,95],"simultaneously":[47],"share":[48],"same":[50],"frequency":[51],"band":[52],"primary":[54,112],"users.":[55,113],"Unlike":[56],"previous":[57],"research,":[58],"this":[59],"assumes":[61],"inputs":[63],"be":[65,152],"practical":[66],"finite-alphabet":[67],"signals,":[68],"such":[69],"as":[70],"phase":[71],"shift":[72],"keying":[73],"(PSK).":[74],"Our":[75],"objective":[76],"is":[77],"maximize":[79],"mutual":[81],"information":[82,121],"overall":[85],"optimizing":[88],"precoders":[90],"at":[91,103],"under":[96],"constraints":[98],"transmit":[101],"power":[102,109],"each":[104],"interference":[108],"The":[114,136],"designs":[116],"two":[118],"channel":[119],"state":[120],"(CSI)":[122],"cases,":[123],"where":[124],"know":[127],"perfect":[129],"or":[130],"statistical":[131],"CSI,":[132],"are":[133,140,190],"both":[134],"investigated.":[135],"formulated":[137],"optimization":[138,165],"problems":[139],"nondeterministic":[141],"polynomial-time":[142],"(NP)-hard":[143],"nonconvex,":[145],"so":[146],"global":[148],"optimal":[149],"solution":[150],"cannot":[151],"found":[153],"within":[154],"polynomial":[156],"time.":[157],"However,":[158],"exploiting":[160],"structures":[162],"problems,":[166],"we":[167],"develop":[168],"new":[170],"framework,":[171],"which":[172],"combines":[173],"iterative":[175],"rank":[176],"penalty":[177],"(IRP)":[178],"algorithm":[179],"customized":[182],"Uzawa":[183],"algorithm,":[184],"solve":[186],"them.":[187],"Simulation":[188],"results":[189],"provided":[191],"verify":[193],"efficacy":[195],"proposed":[198],"precoding":[199],"algorithms.":[200]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4}],"updated_date":"2026-07-13T07:31:44.756512","created_date":"2025-10-10T00:00:00"}