{"id":"https://openalex.org/W1493093550","doi":"https://doi.org/10.1109/iscas.2003.1205781","title":"Angular decompositions for the discrete fractional signal transforms","display_name":"Angular decompositions for the discrete fractional signal transforms","publication_year":2003,"publication_date":"2003-11-04","ids":{"openalex":"https://openalex.org/W1493093550","doi":"https://doi.org/10.1109/iscas.2003.1205781","mag":"1493093550"},"language":"en","primary_location":{"id":"doi:10.1109/iscas.2003.1205781","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2003.1205781","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2003 International Symposium on Circuits and Systems, 2003. ISCAS '03.","raw_type":"proceedings-article"},"type":"conference-paper","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/A5063056246","display_name":"Min-Hung Yeh","orcid":null},"institutions":[{"id":"https://openalex.org/I75430998","display_name":"National Ilan University","ror":"https://ror.org/01npf0s58","country_code":"TW","type":"education","lineage":["https://openalex.org/I75430998"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Min-Hung Yeh","raw_affiliation_strings":["Department of Electronic Engineering, National I-Lan Institute of Technology, Taiwan","Department of Electronic Engineering, National Ilan University, I-Lan, Taiwan, ROC#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, National I-Lan Institute of Technology, Taiwan","institution_ids":["https://openalex.org/I75430998"]},{"raw_affiliation_string":"Department of Electronic Engineering, National Ilan University, I-Lan, Taiwan, ROC#TAB#","institution_ids":["https://openalex.org/I75430998"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5063056246"],"corresponding_institution_ids":["https://openalex.org/I75430998"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":null,"first_page":"IV","last_page":"93"},"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":0.9970999956130981,"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":0.9952999949455261,"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/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.78141188621521},{"id":"https://openalex.org/keywords/discrete-fourier-transform","display_name":"Discrete Fourier transform (general)","score":0.722676694393158},{"id":"https://openalex.org/keywords/discrete-hartley-transform","display_name":"Discrete Hartley transform","score":0.6720740795135498},{"id":"https://openalex.org/keywords/non-uniform-discrete-fourier-transform","display_name":"Non-uniform discrete Fourier transform","score":0.6642508506774902},{"id":"https://openalex.org/keywords/discrete-sine-transform","display_name":"Discrete sine transform","score":0.6613417267799377},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6313821077346802},{"id":"https://openalex.org/keywords/discrete-time-signal","display_name":"Discrete-time signal","score":0.5088148713111877},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.5083834528923035},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.48438435792922974},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.4810938537120819},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.4808938503265381},{"id":"https://openalex.org/keywords/discrete-time-fourier-transform","display_name":"Discrete-time Fourier transform","score":0.4642309546470642},{"id":"https://openalex.org/keywords/weighting","display_name":"Weighting","score":0.4586378037929535},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45596665143966675},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.44244733452796936},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4386172890663147},{"id":"https://openalex.org/keywords/discrete-frequency-domain","display_name":"Discrete frequency domain","score":0.42316773533821106},{"id":"https://openalex.org/keywords/hartley-transform","display_name":"Hartley transform","score":0.4171365201473236},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2665008008480072},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.26633623242378235},{"id":"https://openalex.org/keywords/signal-transfer-function","display_name":"Signal transfer function","score":0.17738506197929382},{"id":"https://openalex.org/keywords/analog-signal","display_name":"Analog signal","score":0.1725236177444458},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14455917477607727},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.12858635187149048},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.11394456028938293},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1074126660823822},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.06606397032737732}],"concepts":[{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.78141188621521},{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.722676694393158},{"id":"https://openalex.org/C192853989","wikidata":"https://www.wikidata.org/wiki/Q1006531","display_name":"Discrete Hartley transform","level":5,"score":0.6720740795135498},{"id":"https://openalex.org/C62058723","wikidata":"https://www.wikidata.org/wiki/Q7049066","display_name":"Non-uniform discrete Fourier transform","level":5,"score":0.6642508506774902},{"id":"https://openalex.org/C167058841","wikidata":"https://www.wikidata.org/wiki/Q971039","display_name":"Discrete sine transform","level":5,"score":0.6613417267799377},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6313821077346802},{"id":"https://openalex.org/C146749787","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete-time signal","level":5,"score":0.5088148713111877},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.5083834528923035},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.48438435792922974},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.4810938537120819},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.4808938503265381},{"id":"https://openalex.org/C122444316","wikidata":"https://www.wikidata.org/wiki/Q1440048","display_name":"Discrete-time Fourier transform","level":5,"score":0.4642309546470642},{"id":"https://openalex.org/C183115368","wikidata":"https://www.wikidata.org/wiki/Q856577","display_name":"Weighting","level":2,"score":0.4586378037929535},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45596665143966675},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.44244733452796936},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4386172890663147},{"id":"https://openalex.org/C23548689","wikidata":"https://www.wikidata.org/wiki/Q5282049","display_name":"Discrete frequency domain","level":3,"score":0.42316773533821106},{"id":"https://openalex.org/C67757890","wikidata":"https://www.wikidata.org/wiki/Q1567607","display_name":"Hartley transform","level":5,"score":0.4171365201473236},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2665008008480072},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.26633623242378235},{"id":"https://openalex.org/C131021393","wikidata":"https://www.wikidata.org/wiki/Q7512759","display_name":"Signal transfer function","level":4,"score":0.17738506197929382},{"id":"https://openalex.org/C13412647","wikidata":"https://www.wikidata.org/wiki/Q174948","display_name":"Analog signal","level":3,"score":0.1725236177444458},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14455917477607727},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.12858635187149048},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.11394456028938293},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1074126660823822},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.06606397032737732},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iscas.2003.1205781","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2003.1205781","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2003 International Symposium on Circuits and Systems, 2003. ISCAS '03.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W606473257","https://openalex.org/W1884852932","https://openalex.org/W1984479816","https://openalex.org/W1996519494","https://openalex.org/W2090697566","https://openalex.org/W2108710836","https://openalex.org/W2110063971","https://openalex.org/W2116983948","https://openalex.org/W2131846413","https://openalex.org/W2132538465","https://openalex.org/W2162586782","https://openalex.org/W2166143222","https://openalex.org/W2166420781","https://openalex.org/W2170713639","https://openalex.org/W6618673398","https://openalex.org/W6639105583","https://openalex.org/W6679815249","https://openalex.org/W6684297928"],"related_works":["https://openalex.org/W2086323236","https://openalex.org/W2076441550","https://openalex.org/W1546716936","https://openalex.org/W2155940912","https://openalex.org/W2006724675","https://openalex.org/W2122562869","https://openalex.org/W2056720749","https://openalex.org/W2120484676","https://openalex.org/W2086393337","https://openalex.org/W2033789247"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,30],"generalized":[4],"angular":[5,18],"decomposition":[6,19],"algorithm":[7],"for":[8],"the":[9,17,21,34,41,48,54,57],"discrete":[10,22,50],"fractional":[11,23,58],"signal":[12,24,59],"transforms":[13,25],"is":[14],"proposed.":[15],"By":[16],"algorithm,":[20],"can":[26],"be":[27],"computed":[28],"by":[29],"weighted":[31],"summation":[32],"of":[33,53,56],"transform":[35,52,60],"evaluated":[36],"at":[37],"special":[38],"angles.":[39],"Also":[40],"weighting":[42],"coefficients":[43],"are":[44],"just":[45],"equal":[46],"to":[47],"inverse":[49],"Fourier":[51],"eigenvalues":[55],"kernels.":[61]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}