{"id":"https://openalex.org/W2043350205","doi":"https://doi.org/10.1109/te.2002.1013878","title":"Simplified method for analytical evaluation of convolution integrals","display_name":"Simplified method for analytical evaluation of convolution integrals","publication_year":2002,"publication_date":"2002-05-01","ids":{"openalex":"https://openalex.org/W2043350205","doi":"https://doi.org/10.1109/te.2002.1013878","mag":"2043350205"},"language":"en","primary_location":{"id":"doi:10.1109/te.2002.1013878","is_oa":false,"landing_page_url":"https://doi.org/10.1109/te.2002.1013878","pdf_url":null,"source":{"id":"https://openalex.org/S207741693","display_name":"IEEE Transactions on Education","issn_l":"0018-9359","issn":["0018-9359","1557-9638"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310322189","host_organization_name":"IEEE Education Society","host_organization_lineage":["https://openalex.org/P4310322189","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Education Society","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 Education","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/A5043435227","display_name":"T.J. Cavicchi","orcid":null},"institutions":[{"id":"https://openalex.org/I181598100","display_name":"Grove City College","ror":"https://ror.org/01755xe07","country_code":"US","type":"education","lineage":["https://openalex.org/I181598100"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"T.J. Cavicchi","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Grove City College, Grove City, PA, USA","Dept. of Electr. & Comput. Eng., Grove City Coll., PA, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Grove City College, Grove City, PA, USA","institution_ids":["https://openalex.org/I181598100"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Grove City Coll., PA, USA#TAB#","institution_ids":["https://openalex.org/I181598100"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5043435227"],"corresponding_institution_ids":["https://openalex.org/I181598100"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.15668257,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"45","issue":"2","first_page":"142","last_page":"144"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.8842999935150146,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.8842999935150146,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12565","display_name":"Physics and Engineering Research Articles","score":0.7886000275611877,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.7160000205039978,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.7627002000808716},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.6825941801071167},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6340672373771667},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5319595336914062},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5160295963287354},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.503947913646698},{"id":"https://openalex.org/keywords/convolution-theorem","display_name":"Convolution theorem","score":0.4626989960670471},{"id":"https://openalex.org/keywords/trigonometric-integral","display_name":"Trigonometric integral","score":0.4377535581588745},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.42147135734558105},{"id":"https://openalex.org/keywords/multiple-integral","display_name":"Multiple integral","score":0.42121002078056335},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3277527689933777},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2960081696510315},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.11111930012702942},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06488102674484253},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.05657827854156494}],"concepts":[{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.7627002000808716},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6825941801071167},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6340672373771667},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5319595336914062},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5160295963287354},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.503947913646698},{"id":"https://openalex.org/C79587385","wikidata":"https://www.wikidata.org/wiki/Q2638931","display_name":"Convolution theorem","level":5,"score":0.4626989960670471},{"id":"https://openalex.org/C65692021","wikidata":"https://www.wikidata.org/wiki/Q1094282","display_name":"Trigonometric integral","level":3,"score":0.4377535581588745},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.42147135734558105},{"id":"https://openalex.org/C54865166","wikidata":"https://www.wikidata.org/wiki/Q844937","display_name":"Multiple integral","level":2,"score":0.42121002078056335},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3277527689933777},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2960081696510315},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.11111930012702942},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06488102674484253},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.05657827854156494},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.0},{"id":"https://openalex.org/C29001434","wikidata":"https://www.wikidata.org/wiki/Q8084","display_name":"Trigonometry","level":2,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/te.2002.1013878","is_oa":false,"landing_page_url":"https://doi.org/10.1109/te.2002.1013878","pdf_url":null,"source":{"id":"https://openalex.org/S207741693","display_name":"IEEE Transactions on Education","issn_l":"0018-9359","issn":["0018-9359","1557-9638"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310322189","host_organization_name":"IEEE Education Society","host_organization_lineage":["https://openalex.org/P4310322189","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Education Society","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 Education","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W2132561593","https://openalex.org/W4240835803"],"related_works":["https://openalex.org/W2293685972","https://openalex.org/W4363675452","https://openalex.org/W2899125270","https://openalex.org/W2165363605","https://openalex.org/W1997262258","https://openalex.org/W2033499985","https://openalex.org/W4290189506","https://openalex.org/W4236917868","https://openalex.org/W2267589039","https://openalex.org/W4224987185"],"abstract_inverted_index":{"A":[0],"simple":[1],"systematic":[2,27],"approach":[3,43],"to":[4,17,54],"calculating":[5],"convolution":[6],"integrals":[7,60],"involving":[8,20],"piecewise":[9],"continuous":[10],"functions":[11],"is":[12],"presented":[13],"as":[14],"an":[15],"alternative":[16],"the":[18,30,42,46,56],"method":[19,28],"step-function":[21],"representations.":[22],"(Goldberg":[23],"et":[24],"al.,":[25],"\"A":[26],"for":[29],"analytical":[31],"evaluation":[32],"of":[33,48,59],"convolutional":[34],"integrals\",":[35],"see":[36],"ibid.,":[37],"vol.45,":[38],"p.65-69,":[39],"2002.)":[40],"In":[41],"described":[44],"herein,":[45],"limits":[47],"each":[49],"fixed-function":[50],"segment":[51],"are":[52],"used":[53],"define":[55],"minimum":[57],"number":[58],"that":[61],"must":[62],"be":[63],"calculated.":[64]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}