{"id":"https://openalex.org/W2999212738","doi":"https://doi.org/10.1109/tvt.2020.2964327","title":"Robust Rate-Maximization Precoder Design for VFDM System","display_name":"Robust Rate-Maximization Precoder Design for VFDM System","publication_year":2020,"publication_date":"2020-01-06","ids":{"openalex":"https://openalex.org/W2999212738","doi":"https://doi.org/10.1109/tvt.2020.2964327","mag":"2999212738"},"language":"en","primary_location":{"id":"doi:10.1109/tvt.2020.2964327","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2020.2964327","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/A5100359874","display_name":"Wenliang Liu","orcid":"https://orcid.org/0000-0002-4378-5667"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenliang Liu","raw_affiliation_strings":["Department of Information Science and Electronic Engineering, Zhejiang University, Hangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Science and Electronic Engineering, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049746669","display_name":"Qi Feng","orcid":"https://orcid.org/0000-0001-5613-0806"},"institutions":[{"id":"https://openalex.org/I2250955327","display_name":"Huawei Technologies (China)","ror":"https://ror.org/00cmhce21","country_code":"CN","type":"company","lineage":["https://openalex.org/I2250955327"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qi Feng","raw_affiliation_strings":["Radio Access Network Research Department, Huawei Technologies Co., Ltd., Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Radio Access Network Research Department, Huawei Technologies Co., Ltd., Shanghai, China","institution_ids":["https://openalex.org/I2250955327"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030952906","display_name":"Jiyong Pang","orcid":"https://orcid.org/0000-0002-2539-2341"},"institutions":[{"id":"https://openalex.org/I2250955327","display_name":"Huawei Technologies (China)","ror":"https://ror.org/00cmhce21","country_code":"CN","type":"company","lineage":["https://openalex.org/I2250955327"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiyong Pang","raw_affiliation_strings":["Radio Access Network Research Department, Huawei Technologies Co., Ltd., Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-2539-2341","affiliations":[{"raw_affiliation_string":"Radio Access Network Research Department, Huawei Technologies Co., Ltd., Shanghai, China","institution_ids":["https://openalex.org/I2250955327"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051892787","display_name":"Qiyu Hu","orcid":"https://orcid.org/0000-0002-8540-7197"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiyu Hu","raw_affiliation_strings":["Department of Information Science and Electronic Engineering, Zhejiang University, Hangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-8540-7197","affiliations":[{"raw_affiliation_string":"Department of Information Science and Electronic Engineering, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015239198","display_name":"Rui Yin","orcid":"https://orcid.org/0000-0003-0252-9664"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rui Yin","raw_affiliation_strings":["School of Information and Electrical Engineering, Zhejiang University City College, Hangzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-0252-9664","affiliations":[{"raw_affiliation_string":"School of Information and Electrical Engineering, Zhejiang University City College, Hangzhou, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079187892","display_name":"Guanding Yu","orcid":"https://orcid.org/0000-0003-1354-2557"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guanding Yu","raw_affiliation_strings":["Department of Information Science and Electronic Engineering, Zhejiang University, Hangzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-1354-2557","affiliations":[{"raw_affiliation_string":"Department of Information Science and Electronic Engineering, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4038,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.58661773,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"69","issue":"3","first_page":"2747","last_page":"2757"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":1.0,"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":1.0,"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/T10125","display_name":"Advanced Wireless Communication Techniques","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"}}],"keywords":[{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6931626796722412},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6399657130241394},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.5544309020042419},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5095317959785461},{"id":"https://openalex.org/keywords/channel-state-information","display_name":"Channel state information","score":0.507000207901001},{"id":"https://openalex.org/keywords/coordinate-descent","display_name":"Coordinate descent","score":0.4835900664329529},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4707872271537781},{"id":"https://openalex.org/keywords/multiplexing","display_name":"Multiplexing","score":0.4495283365249634},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.4464721083641052},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.39144524931907654},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3855409324169159},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.3025693893432617},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.1896742284297943},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17586058378219604},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.12884807586669922}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6931626796722412},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6399657130241394},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.5544309020042419},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5095317959785461},{"id":"https://openalex.org/C148063708","wikidata":"https://www.wikidata.org/wiki/Q5072511","display_name":"Channel state information","level":3,"score":0.507000207901001},{"id":"https://openalex.org/C157553263","wikidata":"https://www.wikidata.org/wiki/Q5168004","display_name":"Coordinate descent","level":2,"score":0.4835900664329529},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4707872271537781},{"id":"https://openalex.org/C19275194","wikidata":"https://www.wikidata.org/wiki/Q222903","display_name":"Multiplexing","level":2,"score":0.4495283365249634},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.4464721083641052},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.39144524931907654},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3855409324169159},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.3025693893432617},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.1896742284297943},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17586058378219604},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.12884807586669922},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tvt.2020.2964327","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2020.2964327","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":[],"awards":[{"id":"https://openalex.org/G7136635345","display_name":null,"funder_award_id":"2018YFB1802302","funder_id":"https://openalex.org/F4320336026","funder_display_name":"National Key Research and Development Program of China Stem Cell and Translational Research"},{"id":"https://openalex.org/G7363391753","display_name":"\u514d\u6388\u6743\u9891\u6bb5LTE\u7cfb\u7edf\u65b0\u578b\u63a5\u5165\u63a7\u5236\u548c\u8d44\u6e90\u5206\u914d\u7b97\u6cd5\u7814\u7a76","funder_award_id":"61771429","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7515848876","display_name":null,"funder_award_id":"61671407","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"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},{"id":"https://openalex.org/F4320336026","display_name":"National Key Research and Development Program of China Stem Cell and Translational Research","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1964222389","https://openalex.org/W1970830346","https://openalex.org/W1979408141","https://openalex.org/W2017037640","https://openalex.org/W2031024081","https://openalex.org/W2049468127","https://openalex.org/W2067768990","https://openalex.org/W2071707134","https://openalex.org/W2072448775","https://openalex.org/W2100755644","https://openalex.org/W2107058626","https://openalex.org/W2111673250","https://openalex.org/W2123594470","https://openalex.org/W2135797660","https://openalex.org/W2147584524","https://openalex.org/W2155174176","https://openalex.org/W2159586912","https://openalex.org/W2161272050","https://openalex.org/W2162434209","https://openalex.org/W2169632208","https://openalex.org/W2170023479","https://openalex.org/W2324788489","https://openalex.org/W2621460863","https://openalex.org/W2891175760","https://openalex.org/W2919366618","https://openalex.org/W2963666254","https://openalex.org/W2963766275","https://openalex.org/W3036056878","https://openalex.org/W3098663016","https://openalex.org/W3100261739","https://openalex.org/W6646769577","https://openalex.org/W6779540433"],"related_works":["https://openalex.org/W2117229703","https://openalex.org/W3120756218","https://openalex.org/W2395088808","https://openalex.org/W2139276415","https://openalex.org/W2187599770","https://openalex.org/W2022712430","https://openalex.org/W3152506997","https://openalex.org/W2953178323","https://openalex.org/W4295727671","https://openalex.org/W2101042359"],"abstract_inverted_index":{"The":[0,23],"new":[1],"radio":[2],"(NR)":[3],"system":[4,16,50,90],"is":[5,29,82,110],"recently":[6],"proposed":[7,111,133],"to":[8,17,55,84,88],"deploy":[9],"alongside":[10],"the":[11,19,40,45,63,68,72,80,94,99,114,129,132,143],"long":[12],"term":[13],"evolution":[14],"(LTE)":[15],"improve":[18],"wireless":[20],"communication":[21],"capacity.":[22],"Vandermonde-subspace":[24],"frequency":[25,46],"division":[26],"multiplexing":[27],"(VFDM)":[28],"an":[30,107],"efficient":[31],"technique":[32],"for":[33],"such":[34,103],"a":[35,104],"two":[36],"tier":[37],"network,":[38],"whereby":[39],"NR":[41,95],"transmitter":[42],"can":[43],"reuse":[44],"spectrum":[47],"of":[48,74,131,137],"LTE":[49,89],"meanwhile":[51],"guaranteeing":[52],"interference":[53],"free":[54],"LTE.":[56],"In":[57,71],"this":[58],"paper,":[59],"we":[60],"first":[61],"investigate":[62],"robust":[64],"rate-maximization":[65,92],"problem":[66],"in":[67,93,101,135],"VFDM":[69,146],"system.":[70,96],"condition":[73],"imperfect":[75],"channel":[76],"state":[77],"information":[78],"(CSI),":[79],"precoder":[81],"optimized":[83],"satisfy":[85],"both":[86],"non-interference":[87],"and":[91,119,139],"To":[97],"tackle":[98],"challenge":[100],"solving":[102],"non-convex":[105],"problem,":[106],"iterative":[108],"algorithm":[109,134],"based":[112],"on":[113],"block":[115],"coordinate":[116],"descent":[117],"(BCD)":[118],"penalty":[120],"dual":[121],"decomposition":[122],"(PDD)":[123],"methods.":[124],"Finally,":[125],"simulation":[126],"results":[127],"demonstrate":[128],"superiority":[130],"terms":[136],"robustness":[138],"achievable":[140],"rate":[141],"over":[142],"conventional":[144],"SVD-based":[145],"technique.":[147]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}