{"id":"https://openalex.org/W2276084935","doi":"https://doi.org/10.1109/jsac.2016.2525378","title":"Low-Complexity MU-MIMO Nonlinear Precoding Using Degree-2 Sparse Vector Perturbation","display_name":"Low-Complexity MU-MIMO Nonlinear Precoding Using Degree-2 Sparse Vector Perturbation","publication_year":2016,"publication_date":"2016-02-03","ids":{"openalex":"https://openalex.org/W2276084935","doi":"https://doi.org/10.1109/jsac.2016.2525378","mag":"2276084935"},"language":"en","primary_location":{"id":"doi:10.1109/jsac.2016.2525378","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jsac.2016.2525378","pdf_url":null,"source":{"id":"https://openalex.org/S90422530","display_name":"IEEE Journal on Selected Areas in Communications","issn_l":"0733-8716","issn":["0733-8716","1558-0008"],"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 Journal on Selected Areas in Communications","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/A5063447722","display_name":"Yi Ma","orcid":"https://orcid.org/0000-0002-6715-4309"},"institutions":[{"id":"https://openalex.org/I28290843","display_name":"University of Surrey","ror":"https://ror.org/00ks66431","country_code":"GB","type":"education","lineage":["https://openalex.org/I28290843"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Yi Ma","raw_affiliation_strings":["Institute for Communication Systems (ICS), University of Surrey, Guildford, U.K"],"affiliations":[{"raw_affiliation_string":"Institute for Communication Systems (ICS), University of Surrey, Guildford, U.K","institution_ids":["https://openalex.org/I28290843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088172417","display_name":"Abderraouf Yamani","orcid":null},"institutions":[{"id":"https://openalex.org/I28290843","display_name":"University of Surrey","ror":"https://ror.org/00ks66431","country_code":"GB","type":"education","lineage":["https://openalex.org/I28290843"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Abderraouf Yamani","raw_affiliation_strings":["Institute for Communication Systems (ICS), University of Surrey, Guildford, U.K"],"affiliations":[{"raw_affiliation_string":"Institute for Communication Systems (ICS), University of Surrey, Guildford, U.K","institution_ids":["https://openalex.org/I28290843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008642089","display_name":"Na Yi","orcid":"https://orcid.org/0000-0002-9070-1999"},"institutions":[{"id":"https://openalex.org/I28290843","display_name":"University of Surrey","ror":"https://ror.org/00ks66431","country_code":"GB","type":"education","lineage":["https://openalex.org/I28290843"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Na Yi","raw_affiliation_strings":["Institute for Communication Systems (ICS), University of Surrey, Guildford, U.K"],"affiliations":[{"raw_affiliation_string":"Institute for Communication Systems (ICS), University of Surrey, Guildford, U.K","institution_ids":["https://openalex.org/I28290843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032549075","display_name":"Rahim Tafazolli","orcid":"https://orcid.org/0000-0002-6062-8639"},"institutions":[{"id":"https://openalex.org/I28290843","display_name":"University of Surrey","ror":"https://ror.org/00ks66431","country_code":"GB","type":"education","lineage":["https://openalex.org/I28290843"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Rahim Tafazolli","raw_affiliation_strings":["Institute for Communication Systems (ICS), University of Surrey, Guildford, U.K"],"affiliations":[{"raw_affiliation_string":"Institute for Communication Systems (ICS), University of Surrey, Guildford, U.K","institution_ids":["https://openalex.org/I28290843"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5063447722"],"corresponding_institution_ids":["https://openalex.org/I28290843"],"apc_list":null,"apc_paid":null,"fwci":2.24,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.88475069,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"34","issue":"3","first_page":"497","last_page":"509"},"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":0.9997000098228455,"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"}},{"id":"https://openalex.org/T12791","display_name":"Full-Duplex Wireless Communications","score":0.9995999932289124,"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/mimo","display_name":"MIMO","score":0.7648382186889648},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.7129555940628052},{"id":"https://openalex.org/keywords/precoding","display_name":"Precoding","score":0.6622623205184937},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5893598198890686},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5615876913070679},{"id":"https://openalex.org/keywords/lattice-reduction","display_name":"Lattice reduction","score":0.5181875824928284},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40205344557762146},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3762582540512085},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.34969842433929443},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.2651202082633972},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.22014689445495605},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11680299043655396}],"concepts":[{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.7648382186889648},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.7129555940628052},{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.6622623205184937},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5893598198890686},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5615876913070679},{"id":"https://openalex.org/C44274781","wikidata":"https://www.wikidata.org/wiki/Q6497132","display_name":"Lattice reduction","level":4,"score":0.5181875824928284},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40205344557762146},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3762582540512085},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.34969842433929443},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.2651202082633972},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.22014689445495605},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11680299043655396}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/jsac.2016.2525378","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jsac.2016.2525378","pdf_url":null,"source":{"id":"https://openalex.org/S90422530","display_name":"IEEE Journal on Selected Areas in Communications","issn_l":"0733-8716","issn":["0733-8716","1558-0008"],"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 Journal on Selected Areas in Communications","raw_type":"journal-article"},{"id":"pmh:oai:alma.44SUR_INST:11139542090002346","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4210197018","display_name":"View","issn_l":"2688-268X","issn":["2688-268X","2688-3988"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:epubs.surrey.ac.uk:809614","is_oa":false,"landing_page_url":"http://epubs.surrey.ac.uk/809614/1/double_final.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400680","display_name":"Surrey Research Insight Open Access (The University of Surrey)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28290843","host_organization_name":"University of Surrey","host_organization_lineage":["https://openalex.org/I28290843"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.6499999761581421,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1947587706","https://openalex.org/W1986254541","https://openalex.org/W1997103239","https://openalex.org/W2033493106","https://openalex.org/W2034826352","https://openalex.org/W2041163162","https://openalex.org/W2060826581","https://openalex.org/W2096765600","https://openalex.org/W2097578209","https://openalex.org/W2103970559","https://openalex.org/W2108086149","https://openalex.org/W2108635721","https://openalex.org/W2111992817","https://openalex.org/W2112323603","https://openalex.org/W2124858630","https://openalex.org/W2130509920","https://openalex.org/W2136093293","https://openalex.org/W2138293524","https://openalex.org/W2140940105","https://openalex.org/W2143664144","https://openalex.org/W2143927285","https://openalex.org/W2151795416","https://openalex.org/W2155174176","https://openalex.org/W2157627714","https://openalex.org/W2161410889","https://openalex.org/W2164536085","https://openalex.org/W6677178498"],"related_works":["https://openalex.org/W2489379490","https://openalex.org/W1995289652","https://openalex.org/W2141031289","https://openalex.org/W2543308263","https://openalex.org/W1554447077","https://openalex.org/W1969034288","https://openalex.org/W2132991559","https://openalex.org/W4328011863","https://openalex.org/W2389865855","https://openalex.org/W2320306131"],"abstract_inverted_index":{"Multiuser":[0],"multiple-input":[1],"multiple-output":[2],"(MUMIMO)":[3],"nonlinear":[4],"precoding":[5],"techniques":[6],"face":[7],"the":[8,15,18,23,44,52,65,85,93,97,106,109,115,126,131,137,145,157],"problem":[9,25],"of":[10,17,26,96,99,108,114,133,139],"poor":[11],"computational":[12,86,171],"scalability":[13,28],"to":[14,90,125,152],"size":[16,98],"network.":[19],"In":[20,112],"this":[21,83,102],"paper,":[22],"fundamental":[24],"MU-MIMO":[27,143],"is":[29,37,88,118],"tackled":[30],"through":[31,56,68],"a":[32],"novel":[33],"signal-processing":[34],"approach,":[35],"which":[36],"called":[38],"degree-2":[39],"vector":[40,75],"perturbation":[41,76],"(D2VP).":[42],"Unlike":[43],"conventional":[45],"VP":[46,159],"approaches":[47],"that":[48,120],"aim":[49],"at":[50],"minimizing":[51],"transmit-to-receive":[53],"energy":[54],"ratio":[55],"searching":[57],"over":[58,77],"an":[59,69],"N-dimensional":[60],"Euclidean":[61],"space,":[62],"D2VP":[63,121,155],"shares":[64],"same":[66],"target":[67],"iterative-optimization":[70],"procedure.":[71],"Each":[72],"iteration":[73],"performs":[74],"two":[78],"optimally":[79],"selected":[80],"subspaces.":[81],"By":[82],"means,":[84],"complexity":[87],"managed":[89],"be":[91],"in":[92,164,169],"cubic":[94],"order":[95],"MU-MIMO,":[100],"and":[101,141,166],"mainly":[103],"comes":[104],"from":[105],"inverse":[107],"channel":[110],"matrix.":[111],"terms":[113],"performance,":[116],"it":[117],"shown":[119],"offers":[122],"comparable":[123],"bit-error-rate":[124],"sphere":[127,146],"encoding":[128,147],"approach":[129],"for":[130],"case":[132,138],"small":[134],"MU-MIMO.":[135],"For":[136],"medium":[140],"large":[142],"when":[144],"does":[148],"not":[149],"apply":[150],"due":[151],"unimplementable":[153],"complexity,":[154],"outperforms":[156],"lattice-reduction":[158],"by":[160],"around":[161],"5-10":[162],"dB":[163,168],"Eb/No":[165],"10-50":[167],"normalized":[170],"complexity.":[172]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}