{"id":"https://openalex.org/W2021567584","doi":"https://doi.org/10.1137/1034002","title":"Sampling Theory for not Necessarily Band-Limited Functions: A Historical Overview","display_name":"Sampling Theory for not Necessarily Band-Limited Functions: A Historical Overview","publication_year":1992,"publication_date":"1992-03-01","ids":{"openalex":"https://openalex.org/W2021567584","doi":"https://doi.org/10.1137/1034002","mag":"2021567584"},"language":"en","primary_location":{"id":"doi:10.1137/1034002","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1034002","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","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/A5089022492","display_name":"P. L. Butzer","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"P. L. Butzer","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5035605717","display_name":"R. L. Stens","orcid":"https://orcid.org/0000-0002-8433-9081"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"R. L. Stens","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.7111,"has_fulltext":false,"cited_by_count":253,"citation_normalized_percentile":{"value":0.90328679,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"34","issue":"1","first_page":"40","last_page":"53"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9987999796867371,"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"}},"topics":[{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9987999796867371,"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"}},{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9980000257492065,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.996399998664856,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discontinuity","display_name":"Discontinuity (linguistics)","score":0.7564032673835754},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.7327033281326294},{"id":"https://openalex.org/keywords/sampling-theory","display_name":"Sampling theory","score":0.5565848350524902},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.5094996094703674},{"id":"https://openalex.org/keywords/nyquist\u2013shannon-sampling-theorem","display_name":"Nyquist\u2013Shannon sampling theorem","score":0.46703431010246277},{"id":"https://openalex.org/keywords/nonuniform-sampling","display_name":"Nonuniform sampling","score":0.4642520546913147},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.46399566531181335},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45582565665245056},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4531153440475464},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4412382245063782},{"id":"https://openalex.org/keywords/emphasis","display_name":"Emphasis (telecommunications)","score":0.44052472710609436},{"id":"https://openalex.org/keywords/sampling-error","display_name":"Sampling error","score":0.4305405914783478},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3948730230331421},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.297751247882843},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2865839898586273},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20797640085220337},{"id":"https://openalex.org/keywords/sample-size-determination","display_name":"Sample size determination","score":0.14595001935958862},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.11493173241615295},{"id":"https://openalex.org/keywords/observational-error","display_name":"Observational error","score":0.10160830616950989}],"concepts":[{"id":"https://openalex.org/C2777042112","wikidata":"https://www.wikidata.org/wiki/Q5281658","display_name":"Discontinuity (linguistics)","level":2,"score":0.7564032673835754},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.7327033281326294},{"id":"https://openalex.org/C2985880046","wikidata":"https://www.wikidata.org/wiki/Q7410168","display_name":"Sampling theory","level":3,"score":0.5565848350524902},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.5094996094703674},{"id":"https://openalex.org/C288623","wikidata":"https://www.wikidata.org/wiki/Q679800","display_name":"Nyquist\u2013Shannon sampling theorem","level":2,"score":0.46703431010246277},{"id":"https://openalex.org/C20326153","wikidata":"https://www.wikidata.org/wiki/Q7049638","display_name":"Nonuniform sampling","level":3,"score":0.4642520546913147},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.46399566531181335},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45582565665245056},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4531153440475464},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4412382245063782},{"id":"https://openalex.org/C177454536","wikidata":"https://www.wikidata.org/wiki/Q578290","display_name":"Emphasis (telecommunications)","level":2,"score":0.44052472710609436},{"id":"https://openalex.org/C165473641","wikidata":"https://www.wikidata.org/wiki/Q3306280","display_name":"Sampling error","level":3,"score":0.4305405914783478},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3948730230331421},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.297751247882843},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2865839898586273},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20797640085220337},{"id":"https://openalex.org/C129848803","wikidata":"https://www.wikidata.org/wiki/Q2564360","display_name":"Sample size determination","level":2,"score":0.14595001935958862},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.11493173241615295},{"id":"https://openalex.org/C19619285","wikidata":"https://www.wikidata.org/wiki/Q196372","display_name":"Observational error","level":2,"score":0.10160830616950989},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.0},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/1034002","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1034002","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-article"},{"id":"pmh:hdl:10068/178926","is_oa":false,"landing_page_url":"http://hdl.handle.net/10068/178926","pdf_url":null,"source":{"id":"https://openalex.org/S4377196900","display_name":"OpenGrey (Institut de l'Information Scientifique et Technique)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1295345811","host_organization_name":"Institut de l'Information Scientifique et Technique","host_organization_lineage":["https://openalex.org/I1295345811"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"I - Miscellaneous"},{"id":"pmh:oai:publications.rwth-aachen.de:177111","is_oa":false,"landing_page_url":"http://publications.rwth-aachen.de/search?p=id:%22RWTH-CONV-054202%22","pdf_url":null,"source":{"id":"https://openalex.org/S4306401362","display_name":"RWTH Publications (RWTH Aachen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887968799","host_organization_name":"RWTH Aachen University","host_organization_lineage":["https://openalex.org/I887968799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM review 34, 40-53 (1992).","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W19369782","https://openalex.org/W573083124","https://openalex.org/W999861136","https://openalex.org/W1556357801","https://openalex.org/W1972786864","https://openalex.org/W1975754699","https://openalex.org/W1980334115","https://openalex.org/W1982975344","https://openalex.org/W1983348484","https://openalex.org/W1986843138","https://openalex.org/W2010285609","https://openalex.org/W2025373164","https://openalex.org/W2032264721","https://openalex.org/W2036438396","https://openalex.org/W2036449328","https://openalex.org/W2049319280","https://openalex.org/W2066891525","https://openalex.org/W2075231798","https://openalex.org/W2078908559","https://openalex.org/W2084052726","https://openalex.org/W2084423306","https://openalex.org/W2087375763","https://openalex.org/W2095069817","https://openalex.org/W2135479785","https://openalex.org/W2144602596","https://openalex.org/W2146296081","https://openalex.org/W2154447039","https://openalex.org/W2247015534","https://openalex.org/W2474500091","https://openalex.org/W2569799975","https://openalex.org/W4232093158","https://openalex.org/W4242353480","https://openalex.org/W4252713891","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4297783100","https://openalex.org/W2949625467","https://openalex.org/W2158938014","https://openalex.org/W2371464604","https://openalex.org/W1528228007","https://openalex.org/W4297933542","https://openalex.org/W2084052726","https://openalex.org/W2381655915","https://openalex.org/W2945544153","https://openalex.org/W1421666895"],"abstract_inverted_index":{"Shannon\u2019s":[0],"sampling":[1,41,86],"theorem":[2],"is":[3,18,26,66,69],"one":[4,22],"of":[5,15,23,30,35,40,74,85,91],"the":[6,46,49,59,72,81,92],"most":[7],"powerful":[8],"results":[9],"in":[10,64],"signal":[11,93],"analysis.":[12],"The":[13,37],"aim":[14],"this":[16],"overview":[17],"to":[19,45,94],"show":[20],"that":[21],"its":[24],"roots":[25],"a":[27],"basic":[28],"paper":[29],"de":[31],"la":[32],"Vallee":[33],"Poussin":[34],"1908.":[36],"historical":[38],"development":[39],"theory":[42],"from":[43],"1908":[44],"present,":[47],"especially":[48],"matter":[50],"dealing":[51],"with":[52],"not":[53],"necessarily":[54],"band-limited":[55],"functions":[56],"(which":[57],"includes":[58],"duration-limited":[60],"case":[61],"actually":[62],"studied":[63],"1908),":[65],"sketched.":[67],"Emphasis":[68],"put":[70],"on":[71,80],"study":[73],"error":[75],"estimates,":[76],"as":[77,79],"well":[78],"delicate":[82],"point-wise":[83],"behavior":[84],"sums":[87],"at":[88],"discontinuity":[89],"points":[90],"be":[95],"reconstructed.":[96]},"counts_by_year":[{"year":2026,"cited_by_count":9},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":13},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":16},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
