{"id":"https://openalex.org/W2001633746","doi":"https://doi.org/10.1109/wcnc.2007.206","title":"Complexity Study of Lattice Reduction for MIMO Detection","display_name":"Complexity Study of Lattice Reduction for MIMO Detection","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2001633746","doi":"https://doi.org/10.1109/wcnc.2007.206","mag":"2001633746"},"language":"en","primary_location":{"id":"doi:10.1109/wcnc.2007.206","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wcnc.2007.206","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE Wireless Communications and Networking Conference","raw_type":"proceedings-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/A5022264757","display_name":"Magnus Sandell","orcid":"https://orcid.org/0000-0001-8625-5394"},"institutions":[{"id":"https://openalex.org/I4210143477","display_name":"Toshiba (United Kingdom)","ror":"https://ror.org/054hmd463","country_code":"GB","type":"company","lineage":["https://openalex.org/I1292669757","https://openalex.org/I4210143477"]},{"id":"https://openalex.org/I1292669757","display_name":"Toshiba (Japan)","ror":"https://ror.org/0326v3z14","country_code":"JP","type":"company","lineage":["https://openalex.org/I1292669757"]}],"countries":["GB","JP"],"is_corresponding":true,"raw_author_name":"Magnus Sandell","raw_affiliation_strings":["Telecommunications Research Laboratory, Toshiba Research Europe Limited, Bristol, UK","[Telecommun. Res. Lab., Toshiba Res. Eur. Ltd., Bristol]"],"affiliations":[{"raw_affiliation_string":"Telecommunications Research Laboratory, Toshiba Research Europe Limited, Bristol, UK","institution_ids":["https://openalex.org/I4210143477"]},{"raw_affiliation_string":"[Telecommun. Res. Lab., Toshiba Res. Eur. Ltd., Bristol]","institution_ids":["https://openalex.org/I1292669757"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010637694","display_name":"A.G. Lillie","orcid":null},"institutions":[{"id":"https://openalex.org/I1292669757","display_name":"Toshiba (Japan)","ror":"https://ror.org/0326v3z14","country_code":"JP","type":"company","lineage":["https://openalex.org/I1292669757"]},{"id":"https://openalex.org/I4210143477","display_name":"Toshiba (United Kingdom)","ror":"https://ror.org/054hmd463","country_code":"GB","type":"company","lineage":["https://openalex.org/I1292669757","https://openalex.org/I4210143477"]}],"countries":["GB","JP"],"is_corresponding":false,"raw_author_name":"Andy Lillie","raw_affiliation_strings":["Telecommunications Research Laboratory, Toshiba Research Europe Limited, Bristol, UK","[Telecommun. Res. Lab., Toshiba Res. Eur. Ltd., Bristol]"],"affiliations":[{"raw_affiliation_string":"Telecommunications Research Laboratory, Toshiba Research Europe Limited, Bristol, UK","institution_ids":["https://openalex.org/I4210143477"]},{"raw_affiliation_string":"[Telecommun. Res. Lab., Toshiba Res. Eur. Ltd., Bristol]","institution_ids":["https://openalex.org/I1292669757"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109222456","display_name":"D. McNamara","orcid":null},"institutions":[{"id":"https://openalex.org/I4210143477","display_name":"Toshiba (United Kingdom)","ror":"https://ror.org/054hmd463","country_code":"GB","type":"company","lineage":["https://openalex.org/I1292669757","https://openalex.org/I4210143477"]},{"id":"https://openalex.org/I1292669757","display_name":"Toshiba (Japan)","ror":"https://ror.org/0326v3z14","country_code":"JP","type":"company","lineage":["https://openalex.org/I1292669757"]}],"countries":["GB","JP"],"is_corresponding":false,"raw_author_name":"Darren McNamara","raw_affiliation_strings":["Telecommunications Research Laboratory, Toshiba Research Europe Limited, Bristol, UK","[Telecommun. Res. Lab., Toshiba Res. Eur. Ltd., Bristol]"],"affiliations":[{"raw_affiliation_string":"Telecommunications Research Laboratory, Toshiba Research Europe Limited, Bristol, UK","institution_ids":["https://openalex.org/I4210143477"]},{"raw_affiliation_string":"[Telecommun. Res. Lab., Toshiba Res. Eur. Ltd., Bristol]","institution_ids":["https://openalex.org/I1292669757"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060136616","display_name":"V. Ponnampalam","orcid":null},"institutions":[{"id":"https://openalex.org/I1292669757","display_name":"Toshiba (Japan)","ror":"https://ror.org/0326v3z14","country_code":"JP","type":"company","lineage":["https://openalex.org/I1292669757"]},{"id":"https://openalex.org/I4210143477","display_name":"Toshiba (United Kingdom)","ror":"https://ror.org/054hmd463","country_code":"GB","type":"company","lineage":["https://openalex.org/I1292669757","https://openalex.org/I4210143477"]}],"countries":["GB","JP"],"is_corresponding":false,"raw_author_name":"Vishakan Ponnampalam","raw_affiliation_strings":["Telecommunications Research Laboratory, Toshiba Research Europe Limited, Bristol, UK","[Telecommun. Res. Lab., Toshiba Res. Eur. Ltd., Bristol]"],"affiliations":[{"raw_affiliation_string":"Telecommunications Research Laboratory, Toshiba Research Europe Limited, Bristol, UK","institution_ids":["https://openalex.org/I4210143477"]},{"raw_affiliation_string":"[Telecommun. Res. Lab., Toshiba Res. Eur. Ltd., Bristol]","institution_ids":["https://openalex.org/I1292669757"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109941716","display_name":"David Milford","orcid":null},"institutions":[{"id":"https://openalex.org/I1292669757","display_name":"Toshiba (Japan)","ror":"https://ror.org/0326v3z14","country_code":"JP","type":"company","lineage":["https://openalex.org/I1292669757"]},{"id":"https://openalex.org/I4210143477","display_name":"Toshiba (United Kingdom)","ror":"https://ror.org/054hmd463","country_code":"GB","type":"company","lineage":["https://openalex.org/I1292669757","https://openalex.org/I4210143477"]}],"countries":["GB","JP"],"is_corresponding":false,"raw_author_name":"David Milford","raw_affiliation_strings":["Telecommunications Research Laboratory, Toshiba Research Europe Limited, Bristol, UK","[Telecommun. Res. Lab., Toshiba Res. Eur. Ltd., Bristol]"],"affiliations":[{"raw_affiliation_string":"Telecommunications Research Laboratory, Toshiba Research Europe Limited, Bristol, UK","institution_ids":["https://openalex.org/I4210143477"]},{"raw_affiliation_string":"[Telecommun. Res. Lab., Toshiba Res. Eur. Ltd., Bristol]","institution_ids":["https://openalex.org/I1292669757"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5022264757"],"corresponding_institution_ids":["https://openalex.org/I4210143477","https://openalex.org/I1292669757"],"apc_list":null,"apc_paid":null,"fwci":1.85772802,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.86367596,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"1","issue":null,"first_page":"1088","last_page":"1092"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T11130","display_name":"Coding theory and cryptography","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9994000196456909,"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/lattice-reduction","display_name":"Lattice reduction","score":0.9524723291397095},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.7224650382995605},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.6697058081626892},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.6391074061393738},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.6223793029785156},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.6083468794822693},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5593337416648865},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.550071656703949},{"id":"https://openalex.org/keywords/sorting","display_name":"Sorting","score":0.5274548530578613},{"id":"https://openalex.org/keywords/communication-complexity","display_name":"Communication complexity","score":0.5200757384300232},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.44674527645111084},{"id":"https://openalex.org/keywords/matrix-algebra","display_name":"Matrix algebra","score":0.4262968599796295},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.39645102620124817},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3528130352497101},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.13467395305633545},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.12993481755256653},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08227807283401489}],"concepts":[{"id":"https://openalex.org/C44274781","wikidata":"https://www.wikidata.org/wiki/Q6497132","display_name":"Lattice reduction","level":4,"score":0.9524723291397095},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.7224650382995605},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.6697058081626892},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.6391074061393738},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6223793029785156},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.6083468794822693},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5593337416648865},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.550071656703949},{"id":"https://openalex.org/C111696304","wikidata":"https://www.wikidata.org/wiki/Q2303697","display_name":"Sorting","level":2,"score":0.5274548530578613},{"id":"https://openalex.org/C179145077","wikidata":"https://www.wikidata.org/wiki/Q5154130","display_name":"Communication complexity","level":2,"score":0.5200757384300232},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.44674527645111084},{"id":"https://openalex.org/C2988995629","wikidata":"https://www.wikidata.org/wiki/Q2915729","display_name":"Matrix algebra","level":3,"score":0.4262968599796295},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.39645102620124817},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3528130352497101},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.13467395305633545},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.12993481755256653},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08227807283401489},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/wcnc.2007.206","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wcnc.2007.206","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE Wireless Communications and Networking Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1542869039","https://openalex.org/W2042331445","https://openalex.org/W2118722468","https://openalex.org/W2140940105","https://openalex.org/W2141040012","https://openalex.org/W2168434355","https://openalex.org/W2308328452","https://openalex.org/W6632495270","https://openalex.org/W6661105391"],"related_works":["https://openalex.org/W2042331445","https://openalex.org/W2134230263","https://openalex.org/W2129251126","https://openalex.org/W2950467063","https://openalex.org/W1481766746","https://openalex.org/W2320306131","https://openalex.org/W1551428407","https://openalex.org/W3195147989","https://openalex.org/W2039747689","https://openalex.org/W1994028523"],"abstract_inverted_index":{"This":[0],"paper":[1,37],"analyses":[2],"lattice":[3],"reduction":[4,17],"for":[5],"MIMO":[6],"decoding":[7],"and":[8,22,59,66,71],"investigates":[9],"how":[10,40],"different":[11],"parameters":[12,50],"affect":[13],"the":[14,32,41,44,52],"complexity.":[15],"Lattice":[16],"is":[18,29],"a":[19,23],"promising":[20],"technique":[21],"common":[24],"approach":[25],"to":[26,30],"implementing":[27],"it":[28],"use":[31],"LLL":[33,45],"algorithm.":[34],"In":[35],"this":[36],"we":[38],"show":[39],"complexity":[42],"of":[43,54],"algorithm":[46],"depends":[47],"on":[48],"such":[49],"as":[51],"number":[53],"antennas,":[55],"SNR,":[56],"channel":[57,60],"correlation":[58],"matrix":[61],"column":[62],"sorting.":[63],"Both":[64],"real-":[65],"complex-valued":[67],"versions":[68],"are":[69,74],"considered":[70],"complexity-performance":[72],"trade-offs":[73],"also":[75],"studied.":[76]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}