{"id":"https://openalex.org/W3118741324","doi":"https://doi.org/10.1109/lcomm.2020.3024256","title":"Worst-Case Robust MIMO Transmission Based on Subgradient Projection","display_name":"Worst-Case Robust MIMO Transmission Based on Subgradient Projection","publication_year":2020,"publication_date":"2020-09-15","ids":{"openalex":"https://openalex.org/W3118741324","doi":"https://doi.org/10.1109/lcomm.2020.3024256","mag":"3118741324"},"language":"en","primary_location":{"id":"doi:10.1109/lcomm.2020.3024256","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcomm.2020.3024256","pdf_url":null,"source":{"id":"https://openalex.org/S147316732","display_name":"IEEE Communications Letters","issn_l":"1089-7798","issn":["1089-7798","1558-2558","2373-7891"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications Letters","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/A5084459298","display_name":"Wen Zhou","orcid":"https://orcid.org/0000-0003-4831-3375"},"institutions":[{"id":"https://openalex.org/I167027274","display_name":"Nanjing Forestry University","ror":"https://ror.org/03m96p165","country_code":"CN","type":"education","lineage":["https://openalex.org/I167027274"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wen Zhou","raw_affiliation_strings":["College of Information Science and Technology, Nanjing Forestry University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0003-4831-3375","affiliations":[{"raw_affiliation_string":"College of Information Science and Technology, Nanjing Forestry University, Nanjing, China","institution_ids":["https://openalex.org/I167027274"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083864182","display_name":"Chunguo Li","orcid":"https://orcid.org/0000-0002-4689-7226"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chunguo Li","raw_affiliation_strings":["School of Information Science and Engineering, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0002-4689-7226","affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101787475","display_name":"Min Hua","orcid":"https://orcid.org/0000-0002-6040-5339"},"institutions":[{"id":"https://openalex.org/I167027274","display_name":"Nanjing Forestry University","ror":"https://ror.org/03m96p165","country_code":"CN","type":"education","lineage":["https://openalex.org/I167027274"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Min Hua","raw_affiliation_strings":["College of Information Science and Technology, Nanjing Forestry University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0002-6040-5339","affiliations":[{"raw_affiliation_string":"College of Information Science and Technology, Nanjing Forestry University, Nanjing, China","institution_ids":["https://openalex.org/I167027274"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8075,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.72964216,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"25","issue":"1","first_page":"239","last_page":"243"},"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9998000264167786,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9991000294685364,"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/subgradient-method","display_name":"Subgradient method","score":0.8476908206939697},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6909467577934265},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.6806607842445374},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6336657404899597},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5475054383277893},{"id":"https://openalex.org/keywords/precoding","display_name":"Precoding","score":0.5247904658317566},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4961303174495697},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.4788253605365753},{"id":"https://openalex.org/keywords/channel-state-information","display_name":"Channel state information","score":0.46150878071784973},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.44971877336502075},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44796022772789},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.4335975646972656},{"id":"https://openalex.org/keywords/oblique-projection","display_name":"Oblique projection","score":0.4165458381175995},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3844270408153534},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.34645146131515503},{"id":"https://openalex.org/keywords/orthographic-projection","display_name":"Orthographic projection","score":0.22931775450706482},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.21907472610473633},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.13716793060302734}],"concepts":[{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.8476908206939697},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6909467577934265},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.6806607842445374},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6336657404899597},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5475054383277893},{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.5247904658317566},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4961303174495697},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.4788253605365753},{"id":"https://openalex.org/C148063708","wikidata":"https://www.wikidata.org/wiki/Q5072511","display_name":"Channel state information","level":3,"score":0.46150878071784973},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.44971877336502075},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44796022772789},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.4335975646972656},{"id":"https://openalex.org/C161666082","wikidata":"https://www.wikidata.org/wiki/Q14551923","display_name":"Oblique projection","level":3,"score":0.4165458381175995},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3844270408153534},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.34645146131515503},{"id":"https://openalex.org/C175694140","wikidata":"https://www.wikidata.org/wiki/Q980329","display_name":"Orthographic projection","level":2,"score":0.22931775450706482},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.21907472610473633},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.13716793060302734},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/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/lcomm.2020.3024256","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcomm.2020.3024256","pdf_url":null,"source":{"id":"https://openalex.org/S147316732","display_name":"IEEE Communications Letters","issn_l":"1089-7798","issn":["1089-7798","1558-2558","2373-7891"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4378559457","display_name":null,"funder_award_id":"61941115","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5587668260","display_name":null,"funder_award_id":"61601275","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6127976148","display_name":"\u9762\u54115G\u7684\u4e91\u63a5\u5165\u7f51\u7edc\u67b6\u6784\u7269\u7406\u5c42\u65e0\u7ebf\u4f20\u8f93\u5173\u952e\u6280\u672f\u7814\u7a76","funder_award_id":"61671144","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7823396273","display_name":null,"funder_award_id":"61801225","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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1583497301","https://openalex.org/W2042599231","https://openalex.org/W2058195114","https://openalex.org/W2061801782","https://openalex.org/W2111052925","https://openalex.org/W2139683558","https://openalex.org/W2295566694","https://openalex.org/W2337742168","https://openalex.org/W2525294442","https://openalex.org/W2758940484","https://openalex.org/W2885553390","https://openalex.org/W2927228443","https://openalex.org/W2955641782","https://openalex.org/W2962882009","https://openalex.org/W2991708646"],"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/W3084689723","https://openalex.org/W2140018151"],"abstract_inverted_index":{"This":[0],"letter":[1],"studies":[2],"robust":[3],"multi-input":[4],"multi-ouput":[5],"(MIMO)":[6],"transmission":[7,21],"strategies,":[8],"where":[9],"the":[10,20,28,41,48,61,67,84,104,107],"transmitter":[11],"only":[12],"has":[13],"imperfect":[14],"channel":[15,69],"state":[16],"information":[17],"(CSI)":[18],"and":[19,73,90],"covariance":[22,62],"matrix":[23],"is":[24,71],"designed":[25],"to":[26,37,59,97],"maximize":[27],"worst":[29,68],"system":[30],"capacity.":[31],"We":[32,82],"first":[33],"extend":[34],"Danskin's":[35],"Theorem":[36],"complex":[38],"spaces":[39],"by":[40],"aid":[42],"of":[43,94,106],"Wirtinger's":[44],"subgradients.":[45],"Then,":[46],"with":[47],"extended":[49],"theorem,":[50],"we":[51],"propose":[52],"a":[53,78,92],"subgradient":[54],"projection":[55],"(SP)":[56],"based":[57],"algorithm":[58],"solve":[60,98],"matrix,":[63],"in":[64],"which":[65],"finding":[66],"error":[70],"key":[72],"can":[74],"be":[75],"formulated":[76],"as":[77],"nonconvex":[79],"minimization":[80],"problem.":[81,100],"deploy":[83],"successive":[85],"convex":[86,95],"approximation":[87],"(SCA)":[88],"technique":[89],"create":[91],"sequence":[93],"problems":[96],"this":[99],"Simulation":[101],"results":[102],"demonstrate":[103],"robustness":[105],"proposed":[108],"algorithm.":[109]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}