{"id":"https://openalex.org/W2113725765","doi":"https://doi.org/10.1186/1687-6180-2013-37","title":"Arikan and Alamouti matrices based on fast block-wise inverse Jacket transform","display_name":"Arikan and Alamouti matrices based on fast block-wise inverse Jacket transform","publication_year":2013,"publication_date":"2013-02-28","ids":{"openalex":"https://openalex.org/W2113725765","doi":"https://doi.org/10.1186/1687-6180-2013-37","mag":"2113725765"},"language":"en","primary_location":{"id":"doi:10.1186/1687-6180-2013-37","is_oa":true,"landing_page_url":"https://doi.org/10.1186/1687-6180-2013-37","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1186/1687-6180-2013-37","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1110-8657","issn":["1110-8657","1687-0433","1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1186/1687-6180-2013-37","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034971703","display_name":"Moon Ho Lee","orcid":"https://orcid.org/0000-0002-8435-8557"},"institutions":[{"id":"https://openalex.org/I80611190","display_name":"Jeonbuk National University","ror":"https://ror.org/05q92br09","country_code":"KR","type":"education","lineage":["https://openalex.org/I80611190"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Moon Ho Lee","raw_affiliation_strings":["Institute of Information & Communication, Chonbuk National University, Jeonju 561-756, South Korea","Institute of Information & Communication, Chonbuk National University, Jeonju, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Information & Communication, Chonbuk National University, Jeonju 561-756, South Korea","institution_ids":["https://openalex.org/I80611190"]},{"raw_affiliation_string":"Institute of Information & Communication, Chonbuk National University, Jeonju, South Korea","institution_ids":["https://openalex.org/I80611190"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069220880","display_name":"Md. Hashem Ali Khan","orcid":null},"institutions":[{"id":"https://openalex.org/I80611190","display_name":"Jeonbuk National University","ror":"https://ror.org/05q92br09","country_code":"KR","type":"education","lineage":["https://openalex.org/I80611190"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Md Hashem Ali Khan","raw_affiliation_strings":["Institute of Information & Communication, Chonbuk National University, Jeonju 561-756, South Korea","Institute of Information & Communication, Chonbuk National University, Jeonju, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Information & Communication, Chonbuk National University, Jeonju 561-756, South Korea","institution_ids":["https://openalex.org/I80611190"]},{"raw_affiliation_string":"Institute of Information & Communication, Chonbuk National University, Jeonju, South Korea","institution_ids":["https://openalex.org/I80611190"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059938882","display_name":"Kyeong Jin Kim","orcid":"https://orcid.org/0000-0002-1943-8307"},"institutions":[{"id":"https://openalex.org/I4210159266","display_name":"Mitsubishi Electric (United States)","ror":"https://ror.org/053jnhe44","country_code":"US","type":"company","lineage":["https://openalex.org/I1306287861","https://openalex.org/I4210133125","https://openalex.org/I4210159266"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kyeong Jin Kim","raw_affiliation_strings":["Mitsubishi Electric Research Laboratories, Cambridge, MA 02139, USA","Mitsubishi Electric Research Labs, Cambridge, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mitsubishi Electric Research Laboratories, Cambridge, MA 02139, USA","institution_ids":["https://openalex.org/I4210159266"]},{"raw_affiliation_string":"Mitsubishi Electric Research Labs, Cambridge, USA","institution_ids":["https://openalex.org/I4210159266"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1665,"currency":"USD","value_usd":1665},"apc_paid":{"value":1665,"currency":"USD","value_usd":1665},"fwci":0.6166,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.74772664,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"2013","issue":"1","first_page":null,"last_page":null},"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/T11873","display_name":"PAPR reduction in OFDM","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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9990000128746033,"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/mathematics","display_name":"Mathematics","score":0.6084579825401306},{"id":"https://openalex.org/keywords/block-matrix","display_name":"Block matrix","score":0.6036733388900757},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5767603516578674},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.569832980632782},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.5311262607574463},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5105248689651489},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.47045934200286865},{"id":"https://openalex.org/keywords/hadamard-transform","display_name":"Hadamard transform","score":0.42996037006378174},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.4287067949771881},{"id":"https://openalex.org/keywords/kronecker-product","display_name":"Kronecker product","score":0.4281010031700134},{"id":"https://openalex.org/keywords/kronecker-delta","display_name":"Kronecker delta","score":0.2674386501312256},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.23103377223014832},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.2268419861793518},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.128949373960495},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09784010052680969}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6084579825401306},{"id":"https://openalex.org/C85817219","wikidata":"https://www.wikidata.org/wiki/Q884772","display_name":"Block matrix","level":3,"score":0.6036733388900757},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5767603516578674},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.569832980632782},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.5311262607574463},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5105248689651489},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.47045934200286865},{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.42996037006378174},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.4287067949771881},{"id":"https://openalex.org/C46030957","wikidata":"https://www.wikidata.org/wiki/Q1238125","display_name":"Kronecker product","level":3,"score":0.4281010031700134},{"id":"https://openalex.org/C39482219","wikidata":"https://www.wikidata.org/wiki/Q192826","display_name":"Kronecker delta","level":2,"score":0.2674386501312256},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.23103377223014832},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.2268419861793518},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.128949373960495},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09784010052680969},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1186/1687-6180-2013-37","is_oa":true,"landing_page_url":"https://doi.org/10.1186/1687-6180-2013-37","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1186/1687-6180-2013-37","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1110-8657","issn":["1110-8657","1687-0433","1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1186/1687-6180-2013-37","is_oa":true,"landing_page_url":"https://doi.org/10.1186/1687-6180-2013-37","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1186/1687-6180-2013-37","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1110-8657","issn":["1110-8657","1687-0433","1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2113725765.pdf","grobid_xml":"https://content.openalex.org/works/W2113725765.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W1488435683","https://openalex.org/W1583505098","https://openalex.org/W1587863748","https://openalex.org/W1902488625","https://openalex.org/W1971719751","https://openalex.org/W2012806307","https://openalex.org/W2038617545","https://openalex.org/W2040075573","https://openalex.org/W2048123562","https://openalex.org/W2049737628","https://openalex.org/W2053224026","https://openalex.org/W2073474805","https://openalex.org/W2086506598","https://openalex.org/W2106855296","https://openalex.org/W2107080958","https://openalex.org/W2116451765","https://openalex.org/W2119922116","https://openalex.org/W2136493079","https://openalex.org/W2141391303","https://openalex.org/W2145212440","https://openalex.org/W2145904481","https://openalex.org/W2150498905","https://openalex.org/W2151740181","https://openalex.org/W2154402310","https://openalex.org/W2156674109","https://openalex.org/W2159764814","https://openalex.org/W2162416161","https://openalex.org/W2484231070","https://openalex.org/W2533153119","https://openalex.org/W2612185425","https://openalex.org/W3104100596","https://openalex.org/W4205533812","https://openalex.org/W4239894305","https://openalex.org/W4254683336"],"related_works":["https://openalex.org/W3099313426","https://openalex.org/W4287593139","https://openalex.org/W2361878581","https://openalex.org/W1506547947","https://openalex.org/W2086146848","https://openalex.org/W3094950822","https://openalex.org/W2890899150","https://openalex.org/W4206811032","https://openalex.org/W1482501614","https://openalex.org/W2995605830"],"abstract_inverted_index":{"Recently,":[0],"Lee":[1],"and":[2,13,85,107,125,132,176],"Hou":[3],"(IEEE":[4],"Signal":[5],"Process":[6],"Lett":[7],"13:":[8],"461-464,":[9],"2006)":[10],"proposed":[11],"one-dimensional":[12],"two-dimensional":[14],"fast":[15,67,112,126],"algorithms":[16,113,127],"for":[17,114,155,173],"block-wise":[18,68],"inverse":[19,28,53,69,124],"Jacket":[20,29,70,105],"transforms":[21,30,117],"(BIJTs).":[22],"Their":[23],"BIJTs":[24],"are":[25,118,140],"not":[26,40,56],"real":[27],"from":[31,142],"mathematical":[32],"point":[33],"of":[34,48,72,100,128],"view":[35],"because":[36],"their":[37],"inverses":[38],"do":[39],"satisfy":[41],"the":[42,46,59,97,101,108,111,122],"usual":[43],"condition,":[44],"i.e.,":[45],"multiplication":[47],"a":[49,66,92],"matrix":[50,54],"with":[51],"its":[52],"is":[55,91],"equal":[57],"to":[58,121],"identity":[60],"matrix.":[61],"Therefore,":[62],"we":[63],"mathematically":[64],"propose":[65],"transform":[71],"orders":[73],"N":[74],"=":[75],"2":[76],"k":[77,80,83,87,90],",":[78,81,84,88],"3":[79],"5":[82],"6":[86],"where":[89],"positive":[93],"integer.":[94],"Based":[95],"on":[96],"Kronecker":[98],"product":[99],"successive":[102],"lower":[103],"order":[104],"matrices":[106,160],"basis":[109],"matrix,":[110],"realizing":[115],"these":[116],"obtained.":[119],"Due":[120],"simple":[123],"Arikan":[129],"polar":[130],"binary":[131],"Alamouti":[133,181],"multiple-input":[134],"multiple-output":[135],"(MIMO)":[136],"non-binary":[137],"matrices,":[138],"which":[139],"obtained":[141],"BIJTs,":[143],"they":[144],"can":[145],"be":[146],"applied":[147],"in":[148],"areas":[149],"such":[150],"as":[151],"3GPP":[152],"physical":[153],"layer":[154],"ultra":[156],"mobile":[157],"broadband":[158],"permutation":[159],"design,":[161,166,169],"first-order":[162],"q-ary":[163],"Reed-Muller":[164],"code":[165],"diagonal":[167,170],"channel":[168],"subchannel":[171],"decompose":[172],"interference":[174],"alignment,":[175],"4G":[177],"MIMO":[178],"long-term":[179],"evolution":[180],"precoding":[182],"design.":[183]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}
