{"id":"https://openalex.org/W1963601724","doi":"https://doi.org/10.1016/s0165-1684(97)00152-7","title":"A representation theorem for local LSI operators on two-sided sequences","display_name":"A representation theorem for local LSI operators on two-sided sequences","publication_year":1997,"publication_date":"1997-12-01","ids":{"openalex":"https://openalex.org/W1963601724","doi":"https://doi.org/10.1016/s0165-1684(97)00152-7","mag":"1963601724"},"language":"en","primary_location":{"id":"doi:10.1016/s0165-1684(97)00152-7","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0165-1684(97)00152-7","pdf_url":null,"source":{"id":"https://openalex.org/S154637859","display_name":"Signal Processing","issn_l":"0165-1684","issn":["0165-1684","1872-7557"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/s0165-1684(97)00152-7","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008238783","display_name":"Paul Hughett","orcid":null},"institutions":[{"id":"https://openalex.org/I2799810409","display_name":"Hospital of the University of Pennsylvania","ror":"https://ror.org/02917wp91","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I2799810409","https://openalex.org/I4210143392"]},{"id":"https://openalex.org/I2800191209","display_name":"Pennsylvania Hospital","ror":"https://ror.org/03mvdc478","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I2800191209","https://openalex.org/I4210143392"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Paul Hughett","raw_affiliation_strings":["Neuropsychiatry Section, University of Pennsylvania Hospital, 3400 Spruce Street, Philadelphia, PA 19104, USA"],"affiliations":[{"raw_affiliation_string":"Neuropsychiatry Section, University of Pennsylvania Hospital, 3400 Spruce Street, Philadelphia, PA 19104, USA","institution_ids":["https://openalex.org/I2799810409","https://openalex.org/I2800191209"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5008238783"],"corresponding_institution_ids":["https://openalex.org/I2799810409","https://openalex.org/I2800191209"],"apc_list":{"value":3200,"currency":"USD","value_usd":3200},"apc_paid":{"value":3200,"currency":"USD","value_usd":3200},"fwci":1.2684,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.80263158,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"63","issue":"2","first_page":"169","last_page":"173"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9983000159263611,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9983000159263611,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.992900013923645,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7461761832237244},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6141318678855896},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.5394739508628845},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4423186779022217},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.37339842319488525},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.32822614908218384},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.10255846381187439},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10208383202552795},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.054086834192276}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7461761832237244},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6141318678855896},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.5394739508628845},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4423186779022217},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.37339842319488525},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32822614908218384},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.10255846381187439},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10208383202552795},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.054086834192276},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0165-1684(97)00152-7","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0165-1684(97)00152-7","pdf_url":null,"source":{"id":"https://openalex.org/S154637859","display_name":"Signal Processing","issn_l":"0165-1684","issn":["0165-1684","1872-7557"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Signal Processing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/s0165-1684(97)00152-7","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0165-1684(97)00152-7","pdf_url":null,"source":{"id":"https://openalex.org/S154637859","display_name":"Signal Processing","issn_l":"0165-1684","issn":["0165-1684","1872-7557"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Signal Processing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1966960911","https://openalex.org/W2007082278","https://openalex.org/W2039319516","https://openalex.org/W2798813531","https://openalex.org/W6750458900"],"related_works":["https://openalex.org/W2980963558","https://openalex.org/W2002282073","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W4287664878","https://openalex.org/W3212023493","https://openalex.org/W2790190308","https://openalex.org/W1991411408"],"abstract_inverted_index":{"A":[0],"linear":[1],"shift-invariant":[2],"operator":[3,22,47],"on":[4],"two-sided":[5],"sequences":[6],"can":[7],"be":[8],"represented":[9],"as":[10],"a":[11,39,50],"convolution":[12,124],"for":[13],"all":[14],"possible":[15],"inputs":[16],"if":[17,20],"and":[18],"only":[19],"the":[21,26,29],"is":[23,35],"local":[24],"in":[25,77],"sense":[27],"that":[28],"value":[30],"of":[31,42],"any":[32],"output":[33],"element":[34],"completely":[36],"determined":[37],"by":[38],"finite":[40,51],"number":[41],"input":[43],"elements.":[44],"Any":[45],"such":[46],"must":[48],"have":[49],"impulse":[52],"response.":[53],"Ein":[54,94],"linearer,":[55],"verschiebungsinvarianter":[56],"Operator":[57,74,96],"f\u00fcr":[58,62],"zweiseitige":[59],"Folgen":[60],"kann":[61],"alle":[63],"m\u00f6glichen":[64],"Eing\u00e4nge":[65],"genau":[66],"dann":[67],"als":[68],"Faltung":[69],"dargestellt":[70],"werden,":[71],"wenn":[72],"der":[73,81],"lokal":[75],"ist":[76],"dem":[78],"Sinn,":[79],"da\u03b2":[80],"Wert":[82],"jedes":[83],"Ausgangselements":[84],"vollst\u00e4ndig":[85],"durch":[86],"eine":[87,98],"endliche":[88],"Anzahl":[89],"von":[90],"Eingangselementen":[91],"bestimmt":[92],"ist.":[93],"solcher":[95],"mu\u03b2":[97],"endlich":[99],"lange":[100],"Impulsantwort":[101],"besitzen.":[102],"Un":[103],"op\u00e9rateur":[104,160],"lin\u00e9aire":[105],"invariant":[106],"par":[107,152],"d\u00e9calage":[108],"sur":[109],"des":[110],"s\u00e9quences":[111],"s'\u00e9tendant":[112],"dans":[113,137],"les":[114,127],"deux":[115],"directions":[116],"du":[117],"temps":[118],"peut":[119],"\u00eatre":[120],"repr\u00e9sent\u00e9":[121],"comme":[122],"une":[123,166],"pour":[125],"toutes":[126],"entr\u00e9es":[128],"possibles":[129],"si":[130,133],"et":[131],"seulement":[132],"l'op\u00e9rateur":[134],"est":[135,149],"local,":[136],"le":[138],"sens":[139],"que":[140],"la":[141,147],"valeur":[142],"de":[143,146,157,161],"tout":[144],"\u00e9l\u00e9ment":[145],"sortie":[148],"compl\u00e8tement":[150],"d\u00e9termin\u00e9e":[151],"un":[153],"nombre":[154],"fini":[155],"d'\u00e9l\u00e9ments":[156],"l'entr\u00e9e.":[158],"Tout":[159],"ce":[162],"type":[163],"doit":[164],"avoir":[165],"r\u00e9ponse":[167],"impulsionnelle":[168],"finie.":[169]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}