{"id":"https://openalex.org/W3012402391","doi":"https://doi.org/10.1109/access.2020.2979371","title":"Fast Converging Iterative Precoding for Massive MIMO Systems: An Accelerated Weighted Neumann Series-Steepest Descent Approach","display_name":"Fast Converging Iterative Precoding for Massive MIMO Systems: An Accelerated Weighted Neumann Series-Steepest Descent Approach","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3012402391","doi":"https://doi.org/10.1109/access.2020.2979371","mag":"3012402391"},"language":"en","primary_location":{"id":"doi:10.1109/access.2020.2979371","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2979371","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09027848.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09027848.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059930014","display_name":"Qian Deng","orcid":"https://orcid.org/0000-0003-0346-7709"},"institutions":[{"id":"https://openalex.org/I20942203","display_name":"Hainan University","ror":"https://ror.org/03q648j11","country_code":"CN","type":"education","lineage":["https://openalex.org/I20942203"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qian Deng","raw_affiliation_strings":["State Key Laboratory of Marine Resource Utilization in South China Sea, College of Information and Communication Engineering, Hainan University, Haikou, China"],"raw_orcid":"https://orcid.org/0000-0003-0346-7709","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Marine Resource Utilization in South China Sea, College of Information and Communication Engineering, Hainan University, Haikou, China","institution_ids":["https://openalex.org/I20942203"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022427158","display_name":"Xiaopeng Liang","orcid":"https://orcid.org/0000-0002-3089-1241"},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]},{"id":"https://openalex.org/I4510145","display_name":"Jiangxi University of Science and Technology","ror":"https://ror.org/03q0t9252","country_code":"CN","type":"education","lineage":["https://openalex.org/I4510145"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaopeng Liang","raw_affiliation_strings":["College of Applied Science, Jiangxi University of Science and Technology, Ganzhou, China","Key Laboratory of Universal Wireless Communications, Ministry of Education, Beijing University of Posts and Telecommunications, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-3089-1241","affiliations":[{"raw_affiliation_string":"College of Applied Science, Jiangxi University of Science and Technology, Ganzhou, China","institution_ids":["https://openalex.org/I4510145"]},{"raw_affiliation_string":"Key Laboratory of Universal Wireless Communications, Ministry of Education, Beijing University of Posts and Telecommunications, Beijing, China","institution_ids":["https://openalex.org/I139759216"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101947451","display_name":"Xianpeng Wang","orcid":"https://orcid.org/0000-0002-6681-6489"},"institutions":[{"id":"https://openalex.org/I20942203","display_name":"Hainan University","ror":"https://ror.org/03q648j11","country_code":"CN","type":"education","lineage":["https://openalex.org/I20942203"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xianpeng Wang","raw_affiliation_strings":["State Key Laboratory of Marine Resource Utilization in South China Sea, College of Information and Communication Engineering, Hainan University, Haikou, China"],"raw_orcid":"https://orcid.org/0000-0002-6681-6489","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Marine Resource Utilization in South China Sea, College of Information and Communication Engineering, Hainan University, Haikou, China","institution_ids":["https://openalex.org/I20942203"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011132245","display_name":"Mengxing Huang","orcid":"https://orcid.org/0000-0002-5709-703X"},"institutions":[{"id":"https://openalex.org/I20942203","display_name":"Hainan University","ror":"https://ror.org/03q648j11","country_code":"CN","type":"education","lineage":["https://openalex.org/I20942203"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mengxing Huang","raw_affiliation_strings":["State Key Laboratory of Marine Resource Utilization in South China Sea, College of Information and Communication Engineering, Hainan University, Haikou, China"],"raw_orcid":"https://orcid.org/0000-0002-5709-703X","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Marine Resource Utilization in South China Sea, College of Information and Communication Engineering, Hainan University, Haikou, China","institution_ids":["https://openalex.org/I20942203"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103148449","display_name":"Chao Dong","orcid":"https://orcid.org/0000-0003-3212-1045"},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chao Dong","raw_affiliation_strings":["Key Laboratory of Universal Wireless Communications, Ministry of Education, Beijing University of Posts and Telecommunications, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0003-3212-1045","affiliations":[{"raw_affiliation_string":"Key Laboratory of Universal Wireless Communications, Ministry of Education, Beijing University of Posts and Telecommunications, Beijing, China","institution_ids":["https://openalex.org/I139759216"]}]},{"author_position":"last","author":{"id":null,"display_name":"Yufang Zhang","orcid":"https://orcid.org/0000-0003-0125-4574"},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yufang Zhang","raw_affiliation_strings":["Key Laboratory of Universal Wireless Communications, Ministry of Education, Beijing University of Posts and Telecommunications, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0003-0125-4574","affiliations":[{"raw_affiliation_string":"Key Laboratory of Universal Wireless Communications, Ministry of Education, Beijing University of Posts and Telecommunications, Beijing, China","institution_ids":["https://openalex.org/I139759216"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":1.1104,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.76961957,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"8","issue":null,"first_page":"50244","last_page":"50255"},"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":0.9994000196456909,"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":0.9990000128746033,"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/precoding","display_name":"Precoding","score":0.9046777486801147},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.6270076036453247},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.6157961487770081},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6098954081535339},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.540856122970581},{"id":"https://openalex.org/keywords/neumann-series","display_name":"Neumann series","score":0.48099812865257263},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4479484260082245},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.44239819049835205},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.4304124712944031},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38914385437965393},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.10343873500823975},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.09833163022994995},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0849357545375824},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.05781888961791992}],"concepts":[{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.9046777486801147},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.6270076036453247},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.6157961487770081},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6098954081535339},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.540856122970581},{"id":"https://openalex.org/C137343772","wikidata":"https://www.wikidata.org/wiki/Q584910","display_name":"Neumann series","level":2,"score":0.48099812865257263},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4479484260082245},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.44239819049835205},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.4304124712944031},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38914385437965393},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.10343873500823975},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09833163022994995},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0849357545375824},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.05781888961791992},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2020.2979371","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2979371","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09027848.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:cfcd2ff6e4db4edba92d2202a6956b03","is_oa":true,"landing_page_url":"https://doaj.org/article/cfcd2ff6e4db4edba92d2202a6956b03","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 8, Pp 50244-50255 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2020.2979371","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2979371","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09027848.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1048772117","display_name":null,"funder_award_id":"61771066","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1243348984","display_name":null,"funder_award_id":"ZDYF2019011","funder_id":"https://openalex.org/F4320323370","funder_display_name":"Hainan University"},{"id":"https://openalex.org/G6800888260","display_name":null,"funder_award_id":"KYQD(ZR)1999","funder_id":"https://openalex.org/F4320323370","funder_display_name":"Hainan University"},{"id":"https://openalex.org/G7855379805","display_name":null,"funder_award_id":"2019RC130","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/F4320323370","display_name":"Hainan University","ror":"https://ror.org/03q648j11"},{"id":"https://openalex.org/F4320325626","display_name":"Education Department of Jiangxi Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3012402391.pdf","grobid_xml":"https://content.openalex.org/works/W3012402391.grobid-xml"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W637574335","https://openalex.org/W1483804921","https://openalex.org/W1539515100","https://openalex.org/W1590480603","https://openalex.org/W1918848090","https://openalex.org/W1974552031","https://openalex.org/W1976109068","https://openalex.org/W2023535408","https://openalex.org/W2044075512","https://openalex.org/W2052321444","https://openalex.org/W2065489737","https://openalex.org/W2067509377","https://openalex.org/W2072184935","https://openalex.org/W2077400379","https://openalex.org/W2128513990","https://openalex.org/W2141077315","https://openalex.org/W2147601077","https://openalex.org/W2149523107","https://openalex.org/W2166500259","https://openalex.org/W2180500047","https://openalex.org/W2294665748","https://openalex.org/W2296440432","https://openalex.org/W2339705939","https://openalex.org/W2525294442","https://openalex.org/W2561024041","https://openalex.org/W2605344455","https://openalex.org/W2610971674","https://openalex.org/W2762375066","https://openalex.org/W2789886422","https://openalex.org/W2885013728","https://openalex.org/W2892313924","https://openalex.org/W2896676802","https://openalex.org/W2921062571","https://openalex.org/W2941212400","https://openalex.org/W2954842555","https://openalex.org/W3098848552","https://openalex.org/W3103793889","https://openalex.org/W3105013332","https://openalex.org/W3106282754","https://openalex.org/W4211208016"],"related_works":["https://openalex.org/W2152088989","https://openalex.org/W2756419127","https://openalex.org/W4366493479","https://openalex.org/W2905893439","https://openalex.org/W2489379490","https://openalex.org/W2141031289","https://openalex.org/W1918848090","https://openalex.org/W2490693928","https://openalex.org/W2964419611","https://openalex.org/W2001001100"],"abstract_inverted_index":{"For":[0],"massive":[1,56,81,246],"multiple-input":[2],"multiple-output":[3],"(MIMO)":[4],"systems,":[5,30,58],"linear":[6,18],"precoding":[7,12,19,33,79,104,182,195,228,238],"is":[8,20,111,255],"preferable":[9],"to":[10,23,74,102,257,261],"nonlinear":[11],"for":[13,27,80,162,244],"better":[14],"performance-complexity":[15],"trade-off.":[16],"However,":[17],"still":[21],"difficult":[22],"implement":[24],"in":[25,45,114,147,239],"practice":[26],"such":[28],"large":[29],"because":[31],"the":[32,36,52,59,63,87,108,126,138,148,153,163,168,175,179,187,212,215,225,233,251,258,264],"matrix":[34,38,161,253],"involves":[35],"complicated":[37],"inversion":[39],"that":[40,220],"must":[41],"be":[42],"rapidly":[43],"computed":[44],"real-time.":[46],"In":[47],"this":[48],"paper,":[49],"we":[50,92,131,156],"use":[51],"large-scale":[53],"property":[54],"of":[55,62,89,125,152,190,206,214,232],"MIMO":[57,82,247],"excellent":[60],"characteristics":[61,88],"weighted":[64,95,140],"Neumann":[65,96,141],"series":[66],"(WNS)":[67],"matrix,":[68],"and":[69,107,192,218],"steepest":[70],"descent":[71,98,143],"(SD)":[72],"method":[73],"devise":[75],"a":[76,94,120,158,203],"new":[77],"iterative":[78,100,123,129,135,150,177,181,242],"systems.":[83],"First,":[84],"by":[85,118],"exploiting":[86],"WNS":[90,169,176],"iteration,":[91],"proposed":[93,132,226],"series-steepest":[97,142],"(WNS-SD)":[99],"algorithm":[101,165],"perform":[103],"with":[105,174],"low-complexity,":[106,199],"convergence":[109,188],"condition":[110],"always":[112],"met":[113],"underloaded":[115],"scenarios.":[116],"Second,":[117],"devising":[119],"novel":[121],"first":[122,149],"step":[124,151,243],"aforementioned":[127],"WNS-SD":[128,191],"algorithm,":[130,136,155],"an":[133],"accelerated":[134,139],"named":[137],"(AWNS-SD)":[144],"algorithm.":[145],"Furthermore,":[146,250],"AWNS-SD":[154,180,227],"designed":[157],"promising":[159],"preconditioning":[160,259],"SD":[164],"based":[166],"on":[167],"matrix.":[170],"Subsequently,":[171],"via":[172],"merger":[173],"method,":[178],"not":[183],"only":[184],"greatly":[185],"improves":[186],"rate":[189],"other":[193],"competitive":[194],"algorithms":[196],"while":[197],"maintaining":[198],"but":[200],"also":[201],"guarantees":[202],"wide":[204],"range":[205],"convergence.":[207],"Finally,":[208],"simulation":[209],"results":[210],"verify":[211],"validity":[213],"theoretical":[216],"analysis":[217],"show":[219],"without":[221],"additional":[222],"iteration":[223],"steps,":[224],"achieves":[229],"near-optimal":[230],"performance":[231],"exact":[234],"zero":[235],"forcing":[236],"(ZF)":[237],"just":[240],"one":[241],"typical":[245],"system":[248],"configurations.":[249],"diagonal":[252],"concept":[254],"applied":[256],"technique":[260],"further":[262],"reduce":[263],"overall":[265],"complexity.":[266]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}