{"id":"https://openalex.org/W2904606486","doi":"https://doi.org/10.1007/978-3-030-03314-9_36","title":"An Algorithm for Computing the True Discrete Fractional Fourier Transform","display_name":"An Algorithm for Computing the True Discrete Fractional Fourier Transform","publication_year":2018,"publication_date":"2018-12-12","ids":{"openalex":"https://openalex.org/W2904606486","doi":"https://doi.org/10.1007/978-3-030-03314-9_36","mag":"2904606486"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-03314-9_36","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-03314-9_36","pdf_url":null,"source":{"id":"https://openalex.org/S2764905038","display_name":"Advances in intelligent systems and computing","issn_l":"2194-5357","issn":["2194-5357","2194-5365"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Intelligent Systems and Computing","raw_type":"book-chapter"},"type":"book-chapter","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/A5036530734","display_name":"Dorota Majorkowska-Mech","orcid":"https://orcid.org/0000-0002-2123-0521"},"institutions":[{"id":"https://openalex.org/I155313962","display_name":"West Pomeranian University of Technology","ror":"https://ror.org/0596m7f19","country_code":"PL","type":"education","lineage":["https://openalex.org/I155313962"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Dorota Majorkowska-Mech","raw_affiliation_strings":["Faculty of Computer Science and Information Technology, West Pomeranian University of Technology Szczecin, ul. Zolnierska 49, 71-210, Szczecin, Poland"],"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science and Information Technology, West Pomeranian University of Technology Szczecin, ul. Zolnierska 49, 71-210, Szczecin, Poland","institution_ids":["https://openalex.org/I155313962"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019629900","display_name":"Aleksandr Cariow","orcid":"https://orcid.org/0000-0002-4513-4593"},"institutions":[{"id":"https://openalex.org/I155313962","display_name":"West Pomeranian University of Technology","ror":"https://ror.org/0596m7f19","country_code":"PL","type":"education","lineage":["https://openalex.org/I155313962"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Aleksandr Cariow","raw_affiliation_strings":["Faculty of Computer Science and Information Technology, West Pomeranian University of Technology Szczecin, ul. Zolnierska 49, 71-210, Szczecin, Poland"],"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science and Information Technology, West Pomeranian University of Technology Szczecin, ul. Zolnierska 49, 71-210, Szczecin, Poland","institution_ids":["https://openalex.org/I155313962"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5036530734"],"corresponding_institution_ids":["https://openalex.org/I155313962"],"apc_list":null,"apc_paid":null,"fwci":3.7487,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.93409742,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"420","last_page":"432"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9998999834060669,"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":0.9998999834060669,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9879000186920166,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9538000226020813,"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/discrete-fourier-transform","display_name":"Discrete Fourier transform (general)","score":0.7945869565010071},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.7387598156929016},{"id":"https://openalex.org/keywords/discrete-hartley-transform","display_name":"Discrete Hartley transform","score":0.6330492496490479},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.630125880241394},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.5920805335044861},{"id":"https://openalex.org/keywords/discrete-sine-transform","display_name":"Discrete sine transform","score":0.5866530537605286},{"id":"https://openalex.org/keywords/transformation-matrix","display_name":"Transformation matrix","score":0.5241082906723022},{"id":"https://openalex.org/keywords/discrete-time-fourier-transform","display_name":"Discrete-time Fourier transform","score":0.5199490785598755},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49179890751838684},{"id":"https://openalex.org/keywords/cyclotomic-fast-fourier-transform","display_name":"Cyclotomic fast Fourier transform","score":0.47243982553482056},{"id":"https://openalex.org/keywords/non-uniform-discrete-fourier-transform","display_name":"Non-uniform discrete Fourier transform","score":0.45576012134552},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4422944188117981},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3881230354309082},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.2793968617916107},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2163856327533722},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.069376140832901}],"concepts":[{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.7945869565010071},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.7387598156929016},{"id":"https://openalex.org/C192853989","wikidata":"https://www.wikidata.org/wiki/Q1006531","display_name":"Discrete Hartley transform","level":5,"score":0.6330492496490479},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.630125880241394},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.5920805335044861},{"id":"https://openalex.org/C167058841","wikidata":"https://www.wikidata.org/wiki/Q971039","display_name":"Discrete sine transform","level":5,"score":0.5866530537605286},{"id":"https://openalex.org/C165443888","wikidata":"https://www.wikidata.org/wiki/Q1482183","display_name":"Transformation matrix","level":3,"score":0.5241082906723022},{"id":"https://openalex.org/C122444316","wikidata":"https://www.wikidata.org/wiki/Q1440048","display_name":"Discrete-time Fourier transform","level":5,"score":0.5199490785598755},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49179890751838684},{"id":"https://openalex.org/C43060483","wikidata":"https://www.wikidata.org/wiki/Q17006372","display_name":"Cyclotomic fast Fourier transform","level":5,"score":0.47243982553482056},{"id":"https://openalex.org/C62058723","wikidata":"https://www.wikidata.org/wiki/Q7049066","display_name":"Non-uniform discrete Fourier transform","level":5,"score":0.45576012134552},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4422944188117981},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3881230354309082},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.2793968617916107},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2163856327533722},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.069376140832901},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"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/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","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/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-030-03314-9_36","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-03314-9_36","pdf_url":null,"source":{"id":"https://openalex.org/S2764905038","display_name":"Advances in intelligent systems and computing","issn_l":"2194-5357","issn":["2194-5357","2194-5365"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Intelligent Systems and Computing","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1884852932","https://openalex.org/W1996519494","https://openalex.org/W2003173774","https://openalex.org/W2006066414","https://openalex.org/W2013823030","https://openalex.org/W2047011378","https://openalex.org/W2063499859","https://openalex.org/W2082685661","https://openalex.org/W2090697566","https://openalex.org/W2095456110","https://openalex.org/W2100912680","https://openalex.org/W2102337953","https://openalex.org/W2105282081","https://openalex.org/W2108710836","https://openalex.org/W2118155316","https://openalex.org/W2121185552","https://openalex.org/W2128959946","https://openalex.org/W2145576488","https://openalex.org/W2155023014","https://openalex.org/W2166143222","https://openalex.org/W2187783868","https://openalex.org/W2313770498","https://openalex.org/W2561758656","https://openalex.org/W2583459398"],"related_works":["https://openalex.org/W2899842971","https://openalex.org/W614735940","https://openalex.org/W1952542430","https://openalex.org/W1563104231","https://openalex.org/W1515861990","https://openalex.org/W2258631014","https://openalex.org/W2170755202","https://openalex.org/W1989739006","https://openalex.org/W2146281512","https://openalex.org/W3126238602"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
