{"id":"https://openalex.org/W2322842758","doi":"https://doi.org/10.1007/bf01940228","title":"Kramer's sampling theorem for multidimensional signals and its relationship with Lagrange-type interpolations","display_name":"Kramer's sampling theorem for multidimensional signals and its relationship with Lagrange-type interpolations","publication_year":1992,"publication_date":"1992-10-01","ids":{"openalex":"https://openalex.org/W2322842758","doi":"https://doi.org/10.1007/bf01940228","mag":"2322842758"},"language":"en","primary_location":{"id":"doi:10.1007/bf01940228","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01940228","pdf_url":null,"source":{"id":"https://openalex.org/S198285748","display_name":"Multidimensional Systems and Signal Processing","issn_l":"0923-6082","issn":["0923-6082","1573-0824"],"is_oa":false,"is_in_doaj":false,"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":"Multidimensional Systems and Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://stars.library.ucf.edu/scopus1990/903","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044329640","display_name":"Ahmed I. Zayed","orcid":"https://orcid.org/0000-0002-7878-826X"},"institutions":[{"id":"https://openalex.org/I106165777","display_name":"University of Central Florida","ror":"https://ror.org/036nfer12","country_code":"US","type":"education","lineage":["https://openalex.org/I106165777"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ahmed I. Zayed","raw_affiliation_strings":["Mathematics Department, University of Central Florida, 32816, Orlando, FL"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, University of Central Florida, 32816, Orlando, FL","institution_ids":["https://openalex.org/I106165777"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5044329640"],"corresponding_institution_ids":["https://openalex.org/I106165777"],"apc_list":null,"apc_paid":null,"fwci":1.0933,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.81970046,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"3","issue":"4","first_page":"323","last_page":"340"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9984999895095825,"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":0.9976000189781189,"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/mathematics","display_name":"Mathematics","score":0.6356993913650513},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.6234115362167358},{"id":"https://openalex.org/keywords/nyquist\u2013shannon-sampling-theorem","display_name":"Nyquist\u2013Shannon sampling theorem","score":0.5879008173942566},{"id":"https://openalex.org/keywords/lagrange-polynomial","display_name":"Lagrange polynomial","score":0.5689325332641602},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.5506975054740906},{"id":"https://openalex.org/keywords/nonuniform-sampling","display_name":"Nonuniform sampling","score":0.47745540738105774},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4754854440689087},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.400603711605072},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.36432334780693054},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3597201108932495},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3302880823612213},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31508177518844604},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.29507675766944885},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2782742381095886},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.13417118787765503},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.10879084467887878}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6356993913650513},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6234115362167358},{"id":"https://openalex.org/C288623","wikidata":"https://www.wikidata.org/wiki/Q679800","display_name":"Nyquist\u2013Shannon sampling theorem","level":2,"score":0.5879008173942566},{"id":"https://openalex.org/C64208722","wikidata":"https://www.wikidata.org/wiki/Q861606","display_name":"Lagrange polynomial","level":3,"score":0.5689325332641602},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.5506975054740906},{"id":"https://openalex.org/C20326153","wikidata":"https://www.wikidata.org/wiki/Q7049638","display_name":"Nonuniform sampling","level":3,"score":0.47745540738105774},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4754854440689087},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.400603711605072},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.36432334780693054},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3597201108932495},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3302880823612213},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31508177518844604},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.29507675766944885},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2782742381095886},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.13417118787765503},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.10879084467887878},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"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":2,"locations":[{"id":"doi:10.1007/bf01940228","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01940228","pdf_url":null,"source":{"id":"https://openalex.org/S198285748","display_name":"Multidimensional Systems and Signal Processing","issn_l":"0923-6082","issn":["0923-6082","1573-0824"],"is_oa":false,"is_in_doaj":false,"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":"Multidimensional Systems and Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:stars.library.ucf.edu:scopus1990-1902","is_oa":true,"landing_page_url":"https://stars.library.ucf.edu/scopus1990/903","pdf_url":null,"source":{"id":"https://openalex.org/S4210172555","display_name":"Journal of International Crisis and Risk Communication Research","issn_l":"2576-0017","issn":["2576-0017","2576-0025"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus Export 1990s","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:stars.library.ucf.edu:scopus1990-1902","is_oa":true,"landing_page_url":"https://stars.library.ucf.edu/scopus1990/903","pdf_url":null,"source":{"id":"https://openalex.org/S4210172555","display_name":"Journal of International Crisis and Risk Communication Research","issn_l":"2576-0017","issn":["2576-0017","2576-0025"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus Export 1990s","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W225265453","https://openalex.org/W267606886","https://openalex.org/W971209826","https://openalex.org/W983355588","https://openalex.org/W1489118498","https://openalex.org/W1494482350","https://openalex.org/W1942652325","https://openalex.org/W1945843680","https://openalex.org/W1973054859","https://openalex.org/W1976202421","https://openalex.org/W1977288938","https://openalex.org/W1977427483","https://openalex.org/W1983348484","https://openalex.org/W1992236779","https://openalex.org/W1993028840","https://openalex.org/W1996452495","https://openalex.org/W2002422940","https://openalex.org/W2016439839","https://openalex.org/W2017953907","https://openalex.org/W2025005393","https://openalex.org/W2027610221","https://openalex.org/W2037724922","https://openalex.org/W2057098637","https://openalex.org/W2060968961","https://openalex.org/W2066188211","https://openalex.org/W2069902122","https://openalex.org/W2073680092","https://openalex.org/W2081338783","https://openalex.org/W2084052726","https://openalex.org/W2085814083","https://openalex.org/W2103481871","https://openalex.org/W2126050692","https://openalex.org/W2139242438","https://openalex.org/W2158732981","https://openalex.org/W2159977619","https://openalex.org/W2166252229","https://openalex.org/W2179536183","https://openalex.org/W2319748042","https://openalex.org/W2324075949","https://openalex.org/W2330611521","https://openalex.org/W2596323328","https://openalex.org/W2794037114","https://openalex.org/W2798506522","https://openalex.org/W4239808794","https://openalex.org/W7052301953"],"related_works":["https://openalex.org/W2112578300","https://openalex.org/W2148909075","https://openalex.org/W2379572111","https://openalex.org/W767418756","https://openalex.org/W4247246397","https://openalex.org/W2009568739","https://openalex.org/W2123798204","https://openalex.org/W2545081564","https://openalex.org/W4323545296","https://openalex.org/W2371464604"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}