{"id":"https://openalex.org/W2530304145","doi":"https://doi.org/10.1109/tsp.2016.2616329","title":"Precoder Designs for the Relay-Aided X Channel Without Source CSI","display_name":"Precoder Designs for the Relay-Aided X Channel Without Source CSI","publication_year":2016,"publication_date":"2016-10-11","ids":{"openalex":"https://openalex.org/W2530304145","doi":"https://doi.org/10.1109/tsp.2016.2616329","mag":"2530304145"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2016.2616329","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2016.2616329","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","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/A5101456726","display_name":"Kushal Anand","orcid":"https://orcid.org/0000-0002-4273-3566"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Kushal Anand","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109431664","display_name":"Erry Gunawan","orcid":null},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Erry Gunawan","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100763983","display_name":"Yong Liang Guan","orcid":"https://orcid.org/0000-0002-9757-630X"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Yong Liang Guan","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101456726"],"corresponding_institution_ids":["https://openalex.org/I172675005"],"apc_list":null,"apc_paid":null,"fwci":0.7351,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.75377069,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"65","issue":"1","first_page":"41","last_page":"55"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9998999834060669,"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9997000098228455,"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":0.801011860370636},{"id":"https://openalex.org/keywords/channel-state-information","display_name":"Channel state information","score":0.7555950880050659},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6819770932197571},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.6783629655838013},{"id":"https://openalex.org/keywords/minimum-mean-square-error","display_name":"Minimum mean square error","score":0.6321980953216553},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5322620272636414},{"id":"https://openalex.org/keywords/signal-to-noise-ratio","display_name":"Signal-to-noise ratio (imaging)","score":0.52037113904953},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.5066450238227844},{"id":"https://openalex.org/keywords/relay-channel","display_name":"Relay channel","score":0.4785921573638916},{"id":"https://openalex.org/keywords/interference","display_name":"Interference (communication)","score":0.4538506269454956},{"id":"https://openalex.org/keywords/precoding","display_name":"Precoding","score":0.44448375701904297},{"id":"https://openalex.org/keywords/bit-error-rate","display_name":"Bit error rate","score":0.4440404176712036},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.4268040060997009},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.41949862241744995},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4076668322086334},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3623531460762024},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.3520827889442444},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.31490278244018555},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.2457098364830017},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23297294974327087},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.18028301000595093},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0949946939945221},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08973687887191772},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.0725928544998169}],"concepts":[{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.801011860370636},{"id":"https://openalex.org/C148063708","wikidata":"https://www.wikidata.org/wiki/Q5072511","display_name":"Channel state information","level":3,"score":0.7555950880050659},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6819770932197571},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.6783629655838013},{"id":"https://openalex.org/C90652560","wikidata":"https://www.wikidata.org/wiki/Q11091747","display_name":"Minimum mean square error","level":3,"score":0.6321980953216553},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5322620272636414},{"id":"https://openalex.org/C13944312","wikidata":"https://www.wikidata.org/wiki/Q7512748","display_name":"Signal-to-noise ratio (imaging)","level":2,"score":0.52037113904953},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.5066450238227844},{"id":"https://openalex.org/C46257984","wikidata":"https://www.wikidata.org/wiki/Q7310895","display_name":"Relay channel","level":4,"score":0.4785921573638916},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.4538506269454956},{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.44448375701904297},{"id":"https://openalex.org/C56296756","wikidata":"https://www.wikidata.org/wiki/Q840922","display_name":"Bit error rate","level":3,"score":0.4440404176712036},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.4268040060997009},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.41949862241744995},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4076668322086334},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3623531460762024},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3520827889442444},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.31490278244018555},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.2457098364830017},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23297294974327087},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.18028301000595093},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0949946939945221},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08973687887191772},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0725928544998169},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2016.2616329","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2016.2616329","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7799999713897705}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W1488435683","https://openalex.org/W1693364095","https://openalex.org/W1970830346","https://openalex.org/W1977622711","https://openalex.org/W1979408141","https://openalex.org/W1982472349","https://openalex.org/W1982664906","https://openalex.org/W1986634396","https://openalex.org/W2012702059","https://openalex.org/W2019107953","https://openalex.org/W2025829033","https://openalex.org/W2027041030","https://openalex.org/W2030421949","https://openalex.org/W2033481961","https://openalex.org/W2051987468","https://openalex.org/W2059120372","https://openalex.org/W2067145564","https://openalex.org/W2077422280","https://openalex.org/W2079468604","https://openalex.org/W2080965636","https://openalex.org/W2088404815","https://openalex.org/W2100364607","https://openalex.org/W2100755644","https://openalex.org/W2106549261","https://openalex.org/W2108051184","https://openalex.org/W2111508006","https://openalex.org/W2111772171","https://openalex.org/W2112947604","https://openalex.org/W2120248756","https://openalex.org/W2127095617","https://openalex.org/W2129691625","https://openalex.org/W2129746337","https://openalex.org/W2130945166","https://openalex.org/W2132070196","https://openalex.org/W2135048860","https://openalex.org/W2135438735","https://openalex.org/W2136608712","https://openalex.org/W2143531729","https://openalex.org/W2165312429","https://openalex.org/W2167357515","https://openalex.org/W2168448439","https://openalex.org/W2198277105","https://openalex.org/W2217718762","https://openalex.org/W2543313712","https://openalex.org/W2798766386","https://openalex.org/W4244633107","https://openalex.org/W4295958697","https://openalex.org/W6637668438","https://openalex.org/W6763666017"],"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/W1965566556","https://openalex.org/W2595297530"],"abstract_inverted_index":{"In":[0],"this":[1,82],"paper,":[2],"precoder":[3,109,128,139,148,166],"designs":[4],"are":[5],"proposed":[6,126],"for":[7,36,40,111,115],"the":[8,26,32,49,59,75,87,94,112,119,137,146,159,164,174,177,184],"wireless":[9],"X":[10,45,50],"networks":[11],"aided":[12],"by":[13],"a":[14,41,141],"relay":[15,51,99,190],"and":[16],"with":[17,70,163],"no":[18],"or":[19,53],"very":[20,71],"limited":[21,72,189],"channel":[22,46,52],"state":[23],"information":[24],"at":[25,58],"transmitters":[27,76],"(CSIT).":[28],"First,":[29],"we":[30,63,102,155],"derive":[31],"general":[33],"feasibility":[34],"conditions":[35],"interference":[37],"alignment":[38],"(IA)":[39],"relay-aided":[42],"symmetric":[43],"multi-input-multi-output":[44],"(also":[47],"called":[48],"XRC)":[54],"without":[55],"any":[56],"CSI":[57],"source":[60],"transmitters.":[61],"Next,":[62],"propose":[64,103,156],"an":[65,104],"IA-based":[66],"joint":[67],"beamforming":[68],"approach":[69],"feedback":[73],"to":[74,78,157],"(referred":[77],"as":[79],"\u201cIA-LFB\u201d":[80],"in":[81,118,176],"paper),":[83],"which":[84],"can":[85,149],"attain":[86],"maximum":[88],"degrees":[89],"of":[90,93],"freedom":[91],"(DoF)":[92],"network":[95,185],"under":[96,188],"arbitrarily":[97],"low":[98],"power.":[100,191],"Finally,":[101],"iterative":[105,160],"minimum-sum":[106],"mean-square-error":[107],"(MMSE)":[108],"design":[110],"single-input-single-output":[113],"XRC":[114],"throughput":[116,175],"improvement":[117],"finite":[120,178],"signal-to-noise":[121],"ratio":[122],"(SNR)":[123],"region.":[124],"The":[125],"MMSE":[127,147,161],"also":[129,182],"shows":[130],"better":[131],"bit":[132],"error":[133],"rate":[134],"results":[135],"than":[136],"IA":[138],"over":[140],"wide":[142],"SNR":[143,179],"range.":[144],"Since":[145],"achieve":[150],"only":[151,172],"locally":[152],"optimal":[153],"solutions,":[154],"initialize":[158],"algorithm":[162],"IA-LFB":[165],"which,":[167],"unlike":[168],"random":[169],"initializations,":[170],"not":[171],"improves":[173],"regions":[180],"but":[181],"preserves":[183],"DoF":[186],"even":[187]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}