{"id":"https://openalex.org/W2941212400","doi":"https://doi.org/10.1109/lcomm.2019.2911472","title":"A Near-Optimal Iterative Linear Precoding With Low Complexity for Massive MIMO Systems","display_name":"A Near-Optimal Iterative Linear Precoding With Low Complexity for Massive MIMO Systems","publication_year":2019,"publication_date":"2019-04-25","ids":{"openalex":"https://openalex.org/W2941212400","doi":"https://doi.org/10.1109/lcomm.2019.2911472","mag":"2941212400"},"language":"en","primary_location":{"id":"doi:10.1109/lcomm.2019.2911472","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcomm.2019.2911472","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/A5100356192","display_name":"Yang Liu","orcid":"https://orcid.org/0000-0003-4729-4395"},"institutions":[{"id":"https://openalex.org/I2722730","display_name":"Inner Mongolia University","ror":"https://ror.org/0106qb496","country_code":"CN","type":"education","lineage":["https://openalex.org/I2722730"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Liu","raw_affiliation_strings":["College of Electronic Information Engineering, Inner Mongolia University, Hohhot, China"],"raw_orcid":"https://orcid.org/0000-0003-4729-4395","affiliations":[{"raw_affiliation_string":"College of Electronic Information Engineering, Inner Mongolia University, Hohhot, China","institution_ids":["https://openalex.org/I2722730"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100657162","display_name":"Jinhong Liu","orcid":"https://orcid.org/0000-0003-1985-4017"},"institutions":[{"id":"https://openalex.org/I2722730","display_name":"Inner Mongolia University","ror":"https://ror.org/0106qb496","country_code":"CN","type":"education","lineage":["https://openalex.org/I2722730"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinhong Liu","raw_affiliation_strings":["College of Electronic Information Engineering, Inner Mongolia University, Hohhot, China"],"raw_orcid":"https://orcid.org/0000-0003-1985-4017","affiliations":[{"raw_affiliation_string":"College of Electronic Information Engineering, Inner Mongolia University, Hohhot, China","institution_ids":["https://openalex.org/I2722730"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101558314","display_name":"Qiong Wu","orcid":"https://orcid.org/0000-0003-2472-4911"},"institutions":[{"id":"https://openalex.org/I2722730","display_name":"Inner Mongolia University","ror":"https://ror.org/0106qb496","country_code":"CN","type":"education","lineage":["https://openalex.org/I2722730"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiong Wu","raw_affiliation_strings":["College of Electronic Information Engineering, Inner Mongolia University, Hohhot, China"],"raw_orcid":"https://orcid.org/0000-0003-2472-4911","affiliations":[{"raw_affiliation_string":"College of Electronic Information Engineering, Inner Mongolia University, Hohhot, China","institution_ids":["https://openalex.org/I2722730"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100629241","display_name":"Yinghui Zhang","orcid":"https://orcid.org/0000-0002-6105-0664"},"institutions":[{"id":"https://openalex.org/I2722730","display_name":"Inner Mongolia University","ror":"https://ror.org/0106qb496","country_code":"CN","type":"education","lineage":["https://openalex.org/I2722730"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yinghui Zhang","raw_affiliation_strings":["College of Electronic Information Engineering, Inner Mongolia University, Hohhot, China"],"raw_orcid":"https://orcid.org/0000-0002-6105-0664","affiliations":[{"raw_affiliation_string":"College of Electronic Information Engineering, Inner Mongolia University, Hohhot, China","institution_ids":["https://openalex.org/I2722730"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079493679","display_name":"Minglu Jin","orcid":"https://orcid.org/0000-0003-0706-1642"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]},{"id":"https://openalex.org/I4210092944","display_name":"Dalian University","ror":"https://ror.org/00g2ypp58","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210092944"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Minglu Jin","raw_affiliation_strings":["Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, China"],"raw_orcid":"https://orcid.org/0000-0003-0706-1642","affiliations":[{"raw_affiliation_string":"Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, China","institution_ids":["https://openalex.org/I4210092944","https://openalex.org/I27357992"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8164,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.85481102,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"23","issue":"6","first_page":"1105","last_page":"1108"},"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/T11392","display_name":"Energy Harvesting in Wireless Networks","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/T12791","display_name":"Full-Duplex Wireless Communications","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/precoding","display_name":"Precoding","score":0.9639894366264343},{"id":"https://openalex.org/keywords/telecommunications-link","display_name":"Telecommunications link","score":0.681236743927002},{"id":"https://openalex.org/keywords/zero-forcing-precoding","display_name":"Zero-forcing precoding","score":0.6630426049232483},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.6306344866752625},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.5528792142868042},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5469033718109131},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5381461381912231},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.48477309942245483},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47024717926979065},{"id":"https://openalex.org/keywords/bit-error-rate","display_name":"Bit error rate","score":0.4325034022331238},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.4139414131641388},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.39977023005485535},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3620918393135071},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3404507040977478},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.2140486240386963},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.2045983076095581}],"concepts":[{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.9639894366264343},{"id":"https://openalex.org/C138660444","wikidata":"https://www.wikidata.org/wiki/Q5607897","display_name":"Telecommunications link","level":2,"score":0.681236743927002},{"id":"https://openalex.org/C155437304","wikidata":"https://www.wikidata.org/wiki/Q8069444","display_name":"Zero-forcing precoding","level":5,"score":0.6630426049232483},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.6306344866752625},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.5528792142868042},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5469033718109131},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5381461381912231},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.48477309942245483},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47024717926979065},{"id":"https://openalex.org/C56296756","wikidata":"https://www.wikidata.org/wiki/Q840922","display_name":"Bit error rate","level":3,"score":0.4325034022331238},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.4139414131641388},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.39977023005485535},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3620918393135071},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3404507040977478},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.2140486240386963},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.2045983076095581},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcomm.2019.2911472","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcomm.2019.2911472","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/G4038967615","display_name":"\u57fa\u4e8e\u65e0\u7ebf\u4f20\u611f\u5668\u7f51\u7edc\u7684\u81ea\u6765\u6c34\u7ba1\u9053\u6f0f\u6c34\u76d1\u6d4b\u5b9a\u4f4d\u5173\u952e\u6280\u672f\u7814\u7a76","funder_award_id":"61461036","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8686611579","display_name":"\u6beb\u7c73\u6ce2\u8d85\u5bc6\u96c6\u7f51\u7edc\u4e2d\u9ad8\u80fd\u6548\u7684\u591a\u70b9\u534f\u4f5c\u6ce2\u675f\u8d4b\u578b\u6280\u672f\u7814\u7a76","funder_award_id":"61761033","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":14,"referenced_works":["https://openalex.org/W637574335","https://openalex.org/W1502593847","https://openalex.org/W2024705454","https://openalex.org/W2046462440","https://openalex.org/W2081274544","https://openalex.org/W2103972037","https://openalex.org/W2141682101","https://openalex.org/W2294665748","https://openalex.org/W2339705939","https://openalex.org/W2806169746","https://openalex.org/W2809484871","https://openalex.org/W2890609471","https://openalex.org/W2962731020","https://openalex.org/W3098389996"],"related_works":["https://openalex.org/W2621076669","https://openalex.org/W1987076955","https://openalex.org/W1994872068","https://openalex.org/W4210250788","https://openalex.org/W2046282527","https://openalex.org/W2596514898","https://openalex.org/W2901128732","https://openalex.org/W2131081431","https://openalex.org/W2070276510","https://openalex.org/W2982512585"],"abstract_inverted_index":{"The":[0],"linear":[1],"zero-forcing":[2],"(ZF)":[3],"precoding":[4,48,62,101,117],"can":[5,118],"achieve":[6,119],"the":[7,12,31,37,59,64,73,87,91,98,114,135],"near-optimal":[8],"sum-rate":[9,126],"performance":[10,127],"when":[11],"favorable":[13],"channel":[14],"propagation":[15],"is":[16,78],"obtained":[17],"in":[18],"downlink":[19],"massive":[20],"multiple-input":[21],"multiple-output":[22],"(MIMO)":[23],"systems.":[24],"However,":[25],"it":[26],"involves":[27],"high":[28],"complexity":[29,38,52],"with":[30,50,128],"matrix":[32,66],"inversion.":[33],"To":[34],"significantly":[35],"reduce":[36,90],"of":[39,75,132],"ZF":[40],"precoding,":[41],"we":[42],"propose":[43],"a":[44,81,103,129],"weighted":[45,79],"two-stage":[46],"(WTS)":[47],"scheme":[49],"low":[51,108],"based":[53],"on":[54],"an":[55],"iterative":[56],"method.":[57],"Specifically,":[58],"proposed":[60,99,115,137],"WTS":[61,100,116],"converts":[63],"complicated":[65],"inversion":[67],"into":[68],"two-half":[69],"iteration":[70],"stages,":[71],"and":[72,89,107,125],"result":[74],"each":[76],"stage":[77],"by":[80],"coefficient":[82],"to":[83],"further":[84],"speed":[85],"up":[86],"convergence":[88,105],"complexity.":[92,109],"A":[93],"theoretical":[94],"analysis":[95],"demonstrates":[96],"that":[97,113],"enjoys":[102],"fast":[104],"rate":[106,123],"Simulation":[110],"results":[111],"indicate":[112],"better":[120],"bit":[121],"error":[122],"(BER)":[124],"smaller":[130],"number":[131],"iterations":[133],"than":[134],"recently":[136],"schemes.":[138]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}