{"id":"https://openalex.org/W1968289828","doi":"https://doi.org/10.1109/tit.1968.1054234","title":"Sampling theorem for finite-energy signals (Corresp.)","display_name":"Sampling theorem for finite-energy signals (Corresp.)","publication_year":1968,"publication_date":"1968-11-01","ids":{"openalex":"https://openalex.org/W1968289828","doi":"https://doi.org/10.1109/tit.1968.1054234","mag":"1968289828"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1968.1054234","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1968.1054234","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","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/A5042894111","display_name":"Justin L. Brown","orcid":"https://orcid.org/0000-0001-9401-6094"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"J. Brown","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5042894111"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.11003521,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"6","first_page":"818","last_page":"819"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9869999885559082,"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"}},"topics":[{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9869999885559082,"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/T13234","display_name":"advanced mathematical theories","score":0.9075000286102295,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/parsevals-theorem","display_name":"Parseval's theorem","score":0.9490309953689575},{"id":"https://openalex.org/keywords/bandlimiting","display_name":"Bandlimiting","score":0.8279749155044556},{"id":"https://openalex.org/keywords/fourier-series","display_name":"Fourier series","score":0.6729074716567993},{"id":"https://openalex.org/keywords/nyquist\u2013shannon-sampling-theorem","display_name":"Nyquist\u2013Shannon sampling theorem","score":0.6481753587722778},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.5940518379211426},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.5815279483795166},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5687388777732849},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.5284407138824463},{"id":"https://openalex.org/keywords/discrete-fourier-series","display_name":"Discrete Fourier series","score":0.509921669960022},{"id":"https://openalex.org/keywords/discrete-fourier-transform","display_name":"Discrete Fourier transform (general)","score":0.4658660888671875},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.461447149515152},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3544084429740906},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3542081415653229},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26509809494018555},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.18891888856887817},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.13538900017738342},{"id":"https://openalex.org/keywords/short-time-fourier-transform","display_name":"Short-time Fourier transform","score":0.10570189356803894}],"concepts":[{"id":"https://openalex.org/C89451469","wikidata":"https://www.wikidata.org/wiki/Q1443036","display_name":"Parseval's theorem","level":5,"score":0.9490309953689575},{"id":"https://openalex.org/C129997835","wikidata":"https://www.wikidata.org/wiki/Q806263","display_name":"Bandlimiting","level":3,"score":0.8279749155044556},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.6729074716567993},{"id":"https://openalex.org/C288623","wikidata":"https://www.wikidata.org/wiki/Q679800","display_name":"Nyquist\u2013Shannon sampling theorem","level":2,"score":0.6481753587722778},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.5940518379211426},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.5815279483795166},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5687388777732849},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.5284407138824463},{"id":"https://openalex.org/C175225751","wikidata":"https://www.wikidata.org/wiki/Q15927242","display_name":"Discrete Fourier series","level":5,"score":0.509921669960022},{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.4658660888671875},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.461447149515152},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3544084429740906},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3542081415653229},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26509809494018555},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18891888856887817},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.13538900017738342},{"id":"https://openalex.org/C166386157","wikidata":"https://www.wikidata.org/wiki/Q1477735","display_name":"Short-time Fourier transform","level":4,"score":0.10570189356803894},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1968.1054234","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1968.1054234","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.699999988079071}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W2098246830","https://openalex.org/W2135479785","https://openalex.org/W4252713891"],"related_works":["https://openalex.org/W2125529598","https://openalex.org/W2074998286","https://openalex.org/W2010667940","https://openalex.org/W2170014524","https://openalex.org/W1421666895","https://openalex.org/W1975826748","https://openalex.org/W2065513155","https://openalex.org/W1549176107","https://openalex.org/W2000335980","https://openalex.org/W2153002160"],"abstract_inverted_index":{"It":[0],"is":[1,12],"shown":[2],"that":[3],"the":[4,17],"Shannon":[5],"sampling":[6],"expansion":[7],"for":[8,20],"finite-energy":[9],"bandlimited":[10],"signals":[11],"a":[13],"special":[14],"case":[15],"of":[16],"Parseval":[18],"relation":[19],"complex":[21],"Fourier":[22],"series.":[23]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
