{"id":"https://openalex.org/W3136834678","doi":"https://doi.org/10.1109/tsp.2021.3067467","title":"Construction of Golay Complementary Matrices and Its Applications to MIMO Omnidirectional Transmission","display_name":"Construction of Golay Complementary Matrices and Its Applications to MIMO Omnidirectional Transmission","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3136834678","doi":"https://doi.org/10.1109/tsp.2021.3067467","mag":"3136834678"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2021.3067467","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2021.3067467","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Transactions on Signal Processing","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/A5101777023","display_name":"Fengjie Li","orcid":"https://orcid.org/0000-0001-7140-6903"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fengjie Li","raw_affiliation_strings":["Key Laboratory for Information Science of Electromagnetic Waves (MoE), Department of Communication Science and Engineering, School of Information Science and Technology, Fudan University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory for Information Science of Electromagnetic Waves (MoE), Department of Communication Science and Engineering, School of Information Science and Technology, Fudan University, Shanghai, China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100620236","display_name":"Yi Jiang","orcid":"https://orcid.org/0000-0002-6618-5437"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yi Jiang","raw_affiliation_strings":["Key Laboratory for Information Science of Electromagnetic Waves (MoE), Department of Communication Science and Engineering, School of Information Science and Technology, Fudan University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-6618-5437","affiliations":[{"raw_affiliation_string":"Key Laboratory for Information Science of Electromagnetic Waves (MoE), Department of Communication Science and Engineering, School of Information Science and Technology, Fudan University, Shanghai, China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102858094","display_name":"Cheng Du","orcid":"https://orcid.org/0000-0002-7392-9756"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cheng Du","raw_affiliation_strings":["Key Laboratory for Information Science of Electromagnetic Waves (MoE), Department of Communication Science and Engineering, School of Information Science and Technology, Fudan University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory for Information Science of Electromagnetic Waves (MoE), Department of Communication Science and Engineering, School of Information Science and Technology, Fudan University, Shanghai, China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"last","author":{"id":null,"display_name":"Xin Wang","orcid":"https://orcid.org/0000-0003-2292-3845"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xin Wang","raw_affiliation_strings":["Key Laboratory for Information Science of Electromagnetic Waves (MoE), Department of Communication Science and Engineering, School of Information Science and Technology, Fudan University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0003-2292-3845","affiliations":[{"raw_affiliation_string":"Key Laboratory for Information Science of Electromagnetic Waves (MoE), Department of Communication Science and Engineering, School of Information Science and Technology, Fudan University, Shanghai, China","institution_ids":["https://openalex.org/I24943067"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I24943067"],"apc_list":null,"apc_paid":null,"fwci":2.6491,"has_fulltext":false,"cited_by_count":43,"citation_normalized_percentile":{"value":0.90377019,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"69","issue":null,"first_page":"2100","last_page":"2113"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","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"}},"topics":[{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","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/T10148","display_name":"Advanced MIMO Systems Optimization","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/T10575","display_name":"Wireless Communication Networks Research","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"}}],"keywords":[{"id":"https://openalex.org/keywords/binary-golay-code","display_name":"Binary Golay code","score":0.7174053192138672},{"id":"https://openalex.org/keywords/omnidirectional-antenna","display_name":"Omnidirectional antenna","score":0.6223180890083313},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.5719783902168274},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5284875631332397},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.43836745619773865},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3822171092033386},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35126370191574097},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.3221566677093506},{"id":"https://openalex.org/keywords/antenna","display_name":"Antenna (radio)","score":0.1022157073020935}],"concepts":[{"id":"https://openalex.org/C165293857","wikidata":"https://www.wikidata.org/wiki/Q1534522","display_name":"Binary Golay code","level":2,"score":0.7174053192138672},{"id":"https://openalex.org/C24027999","wikidata":"https://www.wikidata.org/wiki/Q2176348","display_name":"Omnidirectional antenna","level":3,"score":0.6223180890083313},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.5719783902168274},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5284875631332397},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.43836745619773865},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3822171092033386},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35126370191574097},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.3221566677093506},{"id":"https://openalex.org/C21822782","wikidata":"https://www.wikidata.org/wiki/Q131214","display_name":"Antenna (radio)","level":2,"score":0.1022157073020935},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2021.3067467","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2021.3067467","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Transactions on Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4302495337","display_name":null,"funder_award_id":"61771005","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1563429468","https://openalex.org/W1933015753","https://openalex.org/W1966903726","https://openalex.org/W1969811075","https://openalex.org/W2006439589","https://openalex.org/W2012585113","https://openalex.org/W2020519696","https://openalex.org/W2024674802","https://openalex.org/W2097688198","https://openalex.org/W2103042998","https://openalex.org/W2107080958","https://openalex.org/W2107229032","https://openalex.org/W2116391085","https://openalex.org/W2129751894","https://openalex.org/W2138097606","https://openalex.org/W2146663649","https://openalex.org/W2157420063","https://openalex.org/W2171718062","https://openalex.org/W2247161821","https://openalex.org/W2259391824","https://openalex.org/W2294688254","https://openalex.org/W2540370887","https://openalex.org/W2918659376","https://openalex.org/W2962785465","https://openalex.org/W2965821486","https://openalex.org/W2966129755","https://openalex.org/W3002135215","https://openalex.org/W3013170543"],"related_works":["https://openalex.org/W1990336786","https://openalex.org/W2012585113","https://openalex.org/W2028812061","https://openalex.org/W1973098787","https://openalex.org/W2094398455","https://openalex.org/W1995336810","https://openalex.org/W2128106185","https://openalex.org/W2006439589","https://openalex.org/W2221318576","https://openalex.org/W2048463712"],"abstract_inverted_index":{"Golay":[0,26,30],"complementary":[1,18,27,31,157],"sequences":[2,28],"(GCS)":[3],"have":[4],"found":[5],"wide":[6],"applications":[7],"in":[8,61,236],"radar":[9],"and":[10,84,93,218],"communications":[11],"thanks":[12],"to":[13,29,43,65,122,142,154,179],"their":[14],"prominent":[15],"property":[16],"of":[17,25,37,55,106,119,125,171,227],"autocorrelation.":[19],"This":[20],"paper":[21],"studies":[22],"the":[23,53,62,67,71,86,104,107,117,120,123,166,219,224,228,237],"extension":[24,118],"matrices":[32,38,158,170],"(GCM),":[33],"i.e,":[34],"a":[35,45,144,183,190],"pair":[36],"whose":[39,138],"two-dimensional":[40,46,139,145],"autocorrelations":[41,140],"add":[42,141],"be":[44,100,111,143,177,234],"<inline-formula":[47,126,131,146,161],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[48,127,132,147,162],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[49,128,133,148,163],"notation=\"LaTeX\">$\\delta$</tex-math></inline-formula>":[50,149],"-function.":[51],"While":[52],"construction":[54],"(real)":[56],"binary":[57,92],"GCM":[58,69,121],"are":[59],"available":[60],"literature,":[63],"how":[64],"construct":[66],"quaternary":[68,94],"(and":[70],"more":[72],"general":[73],"unimodular":[74],"GCM)":[75],"remains":[76],"unknown.":[77],"We":[78,203],"put":[79],"together":[80],"this":[81],"missing":[82],"piece,":[83],"show":[85],"feasible":[87,97],"size":[88],"that":[89],"allows":[90,168],"for":[91,169,182,198,207],"GCM.":[95],"The":[96,174],"sizes":[98],"can":[99,110,176,233],"further":[101],"expanded":[102],"if":[103],"phases":[105],"matrices\u2019":[108],"entries":[109],"arbitrary.":[112],"In":[113],"addition,":[114],"we":[115,152],"consider":[116],"set":[124],"notation=\"LaTeX\">$N$</tex-math></inline-formula>":[129],"(":[130],"notation=\"LaTeX\">$N\\geq":[134],"2$</tex-math></inline-formula>":[135],")":[136],"matrices,":[137],"-function,":[150],"which":[151,195],"refer":[153],"as":[155],"autocorrelation":[156],"(ACM).":[159],"For":[160],"notation=\"LaTeX\">$N=4$</tex-math></inline-formula>":[164],",":[165],"ACM":[167],"arbitrary":[172],"size.":[173],"GCM/ACM":[175],"applied":[178],"omnidirectional":[180,208,246],"transmission":[181],"multi-input":[184],"multi-output":[185],"(MIMO)":[186],"communication":[187],"system":[188],"with":[189,248],"uniform":[191],"rectangular":[192],"array":[193],"(URA),":[194],"is":[196,211,221],"useful":[197],"broadcasting":[199],"cell-wide":[200],"common":[201],"messages.":[202],"propose":[204],"two":[205],"schemes":[206,232],"transmission,":[209],"one":[210],"based":[212,222],"on":[213,223],"space-time":[214],"block":[215],"code":[216],"(STBC)":[217],"other":[220],"dual":[225],"cross-polarization":[226],"antenna":[229],"array.":[230],"Both":[231],"implemented":[235],"radio":[238],"frequency":[239],"(RF)":[240],"analog":[241],"domain,":[242],"generating":[243],"(theoretically)":[244],"perfect":[245],"beampattern":[247],"low":[249],"hardware":[250],"cost.":[251]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":12},{"year":2023,"cited_by_count":13},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":3}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}