{"id":"https://openalex.org/W1485139960","doi":"https://doi.org/10.1007/3-540-60222-4_113","title":"The separating decomposition of discrete Fourier transform and vectorization of its calculation","display_name":"The separating decomposition of discrete Fourier transform and vectorization of its calculation","publication_year":1995,"publication_date":"1995-01-01","ids":{"openalex":"https://openalex.org/W1485139960","doi":"https://doi.org/10.1007/3-540-60222-4_113","mag":"1485139960"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-60222-4_113","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-60222-4_113","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","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/A5075635042","display_name":"Olga V. Klimova","orcid":"https://orcid.org/0009-0005-8210-7462"},"institutions":[{"id":"https://openalex.org/I4210119369","display_name":"Ural Branch of the Russian Academy of Sciences","ror":"https://ror.org/02s4h3z39","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210119369"]},{"id":"https://openalex.org/I4210134084","display_name":"Institute of Engineering Science","ror":"https://ror.org/03zeyg902","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210134084","https://openalex.org/I4210164537"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"O. V. Klimova","raw_affiliation_strings":["Institute of Engineering Science, Ural Branch of the Russian Academy of Science, Ekaterinburg, Russia","Ural Branch of the Russian Academy of Science"],"affiliations":[{"raw_affiliation_string":"Institute of Engineering Science, Ural Branch of the Russian Academy of Science, Ekaterinburg, Russia","institution_ids":["https://openalex.org/I4210134084"]},{"raw_affiliation_string":"Ural Branch of the Russian Academy of Science","institution_ids":["https://openalex.org/I4210119369"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5075635042"],"corresponding_institution_ids":["https://openalex.org/I4210119369","https://openalex.org/I4210134084"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.4932,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.58167331,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"241","last_page":"245"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9966999888420105,"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"}},"topics":[{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9966999888420105,"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"}},{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.984000027179718,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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":0.9610999822616577,"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/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.8082960844039917},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7345749139785767},{"id":"https://openalex.org/keywords/discrete-fourier-transform","display_name":"Discrete Fourier transform (general)","score":0.705997109413147},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.5722662210464478},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5699599385261536},{"id":"https://openalex.org/keywords/vectorization","display_name":"Vectorization (mathematics)","score":0.5361248254776001},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.5299262404441833},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.5204589366912842},{"id":"https://openalex.org/keywords/multidimensional-signal-processing","display_name":"Multidimensional signal processing","score":0.46530941128730774},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.4520246982574463},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.45024630427360535},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.41806942224502563},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.35798168182373047},{"id":"https://openalex.org/keywords/short-time-fourier-transform","display_name":"Short-time Fourier transform","score":0.22267159819602966},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18461787700653076},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.14441150426864624},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.11698660254478455}],"concepts":[{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.8082960844039917},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7345749139785767},{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.705997109413147},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.5722662210464478},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5699599385261536},{"id":"https://openalex.org/C41681595","wikidata":"https://www.wikidata.org/wiki/Q7917855","display_name":"Vectorization (mathematics)","level":2,"score":0.5361248254776001},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.5299262404441833},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5204589366912842},{"id":"https://openalex.org/C501101116","wikidata":"https://www.wikidata.org/wiki/Q18378116","display_name":"Multidimensional signal processing","level":4,"score":0.46530941128730774},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.4520246982574463},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.45024630427360535},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.41806942224502563},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.35798168182373047},{"id":"https://openalex.org/C166386157","wikidata":"https://www.wikidata.org/wiki/Q1477735","display_name":"Short-time Fourier transform","level":4,"score":0.22267159819602966},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18461787700653076},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.14441150426864624},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.11698660254478455},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-60222-4_113","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-60222-4_113","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1979502974","https://openalex.org/W2015991239","https://openalex.org/W2027926931","https://openalex.org/W2061719457"],"related_works":["https://openalex.org/W2157074047","https://openalex.org/W2996645684","https://openalex.org/W2154006536","https://openalex.org/W2098868092","https://openalex.org/W4210883267","https://openalex.org/W2348800014","https://openalex.org/W2365391860","https://openalex.org/W1820187807","https://openalex.org/W2155491755","https://openalex.org/W4362564158"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
