{"id":"https://openalex.org/W2339885586","doi":"https://doi.org/10.1109/lsp.2016.2556714","title":"Generalized Brillinger-Like Transforms","display_name":"Generalized Brillinger-Like Transforms","publication_year":2016,"publication_date":"2016-04-20","ids":{"openalex":"https://openalex.org/W2339885586","doi":"https://doi.org/10.1109/lsp.2016.2556714","mag":"2339885586"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2016.2556714","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2016.2556714","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=2987767","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021819105","display_name":"Anatoli Torokhti","orcid":"https://orcid.org/0000-0002-8337-4678"},"institutions":[{"id":"https://openalex.org/I170239107","display_name":"University of South Australia","ror":"https://ror.org/01p93h210","country_code":"AU","type":"education","lineage":["https://openalex.org/I170239107"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Anatoli Torokhti","raw_affiliation_strings":["Centre for Industrial and Applied Mathematics, University of South Australia, Adelaide, S.A., Australia"],"affiliations":[{"raw_affiliation_string":"Centre for Industrial and Applied Mathematics, University of South Australia, Adelaide, S.A., Australia","institution_ids":["https://openalex.org/I170239107"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042068910","display_name":"Pablo Soto-Quir\u00f3s","orcid":"https://orcid.org/0000-0003-2903-3116"},"institutions":[{"id":"https://openalex.org/I145372079","display_name":"Instituto Tecnol\u00f3gico de Costa Rica","ror":"https://ror.org/04zhrfn38","country_code":"CR","type":"education","lineage":["https://openalex.org/I145372079"]},{"id":"https://openalex.org/I170239107","display_name":"University of South Australia","ror":"https://ror.org/01p93h210","country_code":"AU","type":"education","lineage":["https://openalex.org/I170239107"]}],"countries":["AU","CR"],"is_corresponding":false,"raw_author_name":"Pablo Soto-Quiros","raw_affiliation_strings":["Centre for Industrial and Applied Mathematics, University of South Australia, Adelaide, S.A., Australia","Instituto Tecnologico de Costa Rica, Cartago, Costa Rica"],"affiliations":[{"raw_affiliation_string":"Centre for Industrial and Applied Mathematics, University of South Australia, Adelaide, S.A., Australia","institution_ids":["https://openalex.org/I170239107"]},{"raw_affiliation_string":"Instituto Tecnologico de Costa Rica, Cartago, Costa Rica","institution_ids":["https://openalex.org/I145372079"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5021819105"],"corresponding_institution_ids":["https://openalex.org/I170239107"],"apc_list":null,"apc_paid":null,"fwci":1.5131,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.82934381,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"23","issue":"6","first_page":"843","last_page":"847"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/weighting","display_name":"Weighting","score":0.7171341180801392},{"id":"https://openalex.org/keywords/karhunen\u2013lo\u00e8ve-theorem","display_name":"Karhunen\u2013Lo\u00e8ve theorem","score":0.5642246007919312},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5445066690444946},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5161360502243042},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5145544409751892},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.4973130524158478},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.45925280451774597},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4110153019428253},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40765440464019775},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40148064494132996},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.17495155334472656}],"concepts":[{"id":"https://openalex.org/C183115368","wikidata":"https://www.wikidata.org/wiki/Q856577","display_name":"Weighting","level":2,"score":0.7171341180801392},{"id":"https://openalex.org/C109308471","wikidata":"https://www.wikidata.org/wiki/Q2046647","display_name":"Karhunen\u2013Lo\u00e8ve theorem","level":2,"score":0.5642246007919312},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5445066690444946},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5161360502243042},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5145544409751892},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.4973130524158478},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.45925280451774597},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4110153019428253},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40765440464019775},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40148064494132996},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.17495155334472656},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/lsp.2016.2556714","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2016.2556714","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","raw_type":"journal-article"},{"id":"pmh:oai:americanae.aecid.es:2987767","is_oa":true,"landing_page_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=2987767","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Signal Processing Letters","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:repositoriotec.tec.ac.cr:2238/9826","is_oa":false,"landing_page_url":"https://www.scopus.com/inward/record.uri?eid=2-s2.0-84969919967&doi=10.1109%2fLSP.2016.2556714&partnerID=40&md5=2c25e482ea7b1bdac66f09e397d10f2f","pdf_url":null,"source":{"id":"https://openalex.org/S4306402205","display_name":"TEC repository (Technological Institute of Costa Rica)","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Signal Processing Letters","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:americanae.aecid.es:2987767","is_oa":true,"landing_page_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=2987767","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Signal Processing Letters","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W598316505","https://openalex.org/W1521990686","https://openalex.org/W1991077525","https://openalex.org/W2005553562","https://openalex.org/W2019901698","https://openalex.org/W2050580360","https://openalex.org/W2089105767","https://openalex.org/W2097886685","https://openalex.org/W2098301339","https://openalex.org/W2100520294","https://openalex.org/W2138658645","https://openalex.org/W2155081409","https://openalex.org/W2163814249","https://openalex.org/W2165395308","https://openalex.org/W2180374961","https://openalex.org/W2964322518","https://openalex.org/W4247571494","https://openalex.org/W4256217162","https://openalex.org/W6684295950"],"related_works":["https://openalex.org/W2180954594","https://openalex.org/W2052835778","https://openalex.org/W2049003611","https://openalex.org/W2127804977","https://openalex.org/W2108418243","https://openalex.org/W612792751","https://openalex.org/W3142934771","https://openalex.org/W1996669592","https://openalex.org/W1573368088","https://openalex.org/W1559525043"],"abstract_inverted_index":{"We":[0,50],"propose":[1],"novel":[2],"transforms":[3,11],"of":[4,18,86,93,99],"stochastic":[5],"vectors,":[6],"called":[7],"the":[8,19,26,29,32,36,43,53,64,72,77,87,94,107],"generalized":[9],"Brillinger":[10,20],"(GBT1":[12],"and":[13,35,41],"GBT2),":[14],"which":[15],"are":[16,39],"generalizations":[17],"transform":[21,67],"(BT).":[22],"The":[23,69],"GBT1":[24,54,73],"extends":[25],"BT":[27],"to":[28,74,101,104],"cases":[30],"when":[31],"covariance":[33],"matrix":[34,38,45],"weighting":[37,44],"singular,":[40],"moreover,":[42],"is":[46,90],"not":[47],"necessarily":[48],"symmetric.":[49],"show":[51],"that":[52,85,105],"may":[55],"computationally":[56],"be":[57],"preferable":[58],"over":[59],"another":[60],"related":[61],"optimal":[62],"technique,":[63],"generic":[65],"Karhunen-Lo\u00e8ve":[66],"(GKLT).":[68],"GBT2":[70],"generalizes":[71],"provide,":[75],"under":[76],"condition":[78],"we":[79],"impose,":[80],"better":[81],"associated":[82],"accuracy":[83],"than":[84],"GBT1.":[88,108],"It":[89],"achieved":[91],"because":[92],"increase":[95],"in":[96,106],"a":[97],"number":[98],"parameters":[100],"optimize":[102],"compared":[103]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":5},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}