{"id":"https://openalex.org/W1986795553","doi":"https://doi.org/10.1016/s0096-3003(01)00206-5","title":"Fast unified computation of the multi-dimensional discrete sinusoidal transforms","display_name":"Fast unified computation of the multi-dimensional discrete sinusoidal transforms","publication_year":2002,"publication_date":"2002-10-11","ids":{"openalex":"https://openalex.org/W1986795553","doi":"https://doi.org/10.1016/s0096-3003(01)00206-5","mag":"1986795553"},"language":"en","primary_location":{"id":"doi:10.1016/s0096-3003(01)00206-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(01)00206-5","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","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/A5102893559","display_name":"Lizhi Cheng","orcid":"https://orcid.org/0000-0002-8371-066X"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]},{"id":"https://openalex.org/I96415178","display_name":"University of Defence","ror":"https://ror.org/04arkmn57","country_code":"CZ","type":"education","lineage":["https://openalex.org/I96415178"]}],"countries":["CN","CZ"],"is_corresponding":true,"raw_author_name":"L.Z. Cheng","raw_affiliation_strings":["Department of Mathematics and System Science, National University of Defence Technology, Hunan, Changsha 410073, China","Department of Mathematics and System Science, National University of Defence Technology, Hunan, Changsha 410073, China#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and System Science, National University of Defence Technology, Hunan, Changsha 410073, China","institution_ids":["https://openalex.org/I170215575"]},{"raw_affiliation_string":"Department of Mathematics and System Science, National University of Defence Technology, Hunan, Changsha 410073, China#TAB#","institution_ids":["https://openalex.org/I96415178"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028783217","display_name":"Z. Wang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Z. Wang","raw_affiliation_strings":["7700 SW Mohawk, St. Tualatin, OR 97062, USA","7700 SW Mohawk, St. Tualatin, OR 97062, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"7700 SW Mohawk, St. Tualatin, OR 97062, USA","institution_ids":[]},{"raw_affiliation_string":"7700 SW Mohawk, St. Tualatin, OR 97062, USA#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038787592","display_name":"Zexiang Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I96415178","display_name":"University of Defence","ror":"https://ror.org/04arkmn57","country_code":"CZ","type":"education","lineage":["https://openalex.org/I96415178"]},{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN","CZ"],"is_corresponding":false,"raw_author_name":"Z.H. Zhang","raw_affiliation_strings":["Department of Mathematics and System Science, National University of Defence Technology, Hunan, Changsha 410073, China","Department of Mathematics and System Science, National University of Defence Technology, Hunan, Changsha 410073, China#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and System Science, National University of Defence Technology, Hunan, Changsha 410073, China","institution_ids":["https://openalex.org/I170215575"]},{"raw_affiliation_string":"Department of Mathematics and System Science, National University of Defence Technology, Hunan, Changsha 410073, China#TAB#","institution_ids":["https://openalex.org/I96415178"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5102893559"],"corresponding_institution_ids":["https://openalex.org/I170215575","https://openalex.org/I96415178"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.12906188,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"132","issue":"2-3","first_page":"455","last_page":"487"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9940000176429749,"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":0.9940000176429749,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9420999884605408,"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/T10901","display_name":"Advanced Data Compression Techniques","score":0.9186999797821045,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discrete-sine-transform","display_name":"Discrete sine transform","score":0.6681585311889648},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.607352077960968},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5373598337173462},{"id":"https://openalex.org/keywords/discrete-fourier-transform","display_name":"Discrete Fourier transform (general)","score":0.532357931137085},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5234469771385193},{"id":"https://openalex.org/keywords/trigonometric-functions","display_name":"Trigonometric functions","score":0.5112712383270264},{"id":"https://openalex.org/keywords/sine","display_name":"Sine","score":0.5067875981330872},{"id":"https://openalex.org/keywords/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.4940367341041565},{"id":"https://openalex.org/keywords/sine-and-cosine-transforms","display_name":"Sine and cosine transforms","score":0.4521770477294922},{"id":"https://openalex.org/keywords/discrete-cosine-transform","display_name":"Discrete cosine transform","score":0.45144885778427124},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3671608567237854},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.3636963367462158},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2970203161239624},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2580016255378723},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.18832209706306458},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1594194769859314},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.1384468674659729},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.12389609217643738}],"concepts":[{"id":"https://openalex.org/C167058841","wikidata":"https://www.wikidata.org/wiki/Q971039","display_name":"Discrete sine transform","level":5,"score":0.6681585311889648},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.607352077960968},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5373598337173462},{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.532357931137085},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5234469771385193},{"id":"https://openalex.org/C178009071","wikidata":"https://www.wikidata.org/wiki/Q93344","display_name":"Trigonometric functions","level":2,"score":0.5112712383270264},{"id":"https://openalex.org/C186661526","wikidata":"https://www.wikidata.org/wiki/Q13647261","display_name":"Sine","level":2,"score":0.5067875981330872},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.4940367341041565},{"id":"https://openalex.org/C47615080","wikidata":"https://www.wikidata.org/wiki/Q1328722","display_name":"Sine and cosine transforms","level":5,"score":0.4521770477294922},{"id":"https://openalex.org/C2221639","wikidata":"https://www.wikidata.org/wiki/Q2877","display_name":"Discrete cosine transform","level":3,"score":0.45144885778427124},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3671608567237854},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.3636963367462158},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2970203161239624},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2580016255378723},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.18832209706306458},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1594194769859314},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.1384468674659729},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.12389609217643738},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0096-3003(01)00206-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(01)00206-5","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1604949508","https://openalex.org/W1825220408","https://openalex.org/W1964786590","https://openalex.org/W1994003281","https://openalex.org/W2003241033","https://openalex.org/W2005041367","https://openalex.org/W2010518064","https://openalex.org/W2012688564","https://openalex.org/W2029769546","https://openalex.org/W2086393337","https://openalex.org/W2086859114","https://openalex.org/W2097682813","https://openalex.org/W2117280478","https://openalex.org/W2122572499","https://openalex.org/W2124973575","https://openalex.org/W2131973628","https://openalex.org/W2133746689","https://openalex.org/W2136690861","https://openalex.org/W2138692623","https://openalex.org/W2144596203","https://openalex.org/W2145252826","https://openalex.org/W2148248162","https://openalex.org/W2152281536","https://openalex.org/W2154246563","https://openalex.org/W2158359807","https://openalex.org/W2169781362","https://openalex.org/W4299616802","https://openalex.org/W6641683874","https://openalex.org/W6679570071"],"related_works":["https://openalex.org/W4256167030","https://openalex.org/W3197070112","https://openalex.org/W2160875600","https://openalex.org/W126348833","https://openalex.org/W2063166054","https://openalex.org/W1843552549","https://openalex.org/W3011035056","https://openalex.org/W1909819333","https://openalex.org/W3142213391","https://openalex.org/W1550835575"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
