{"id":"https://openalex.org/W2115660598","doi":"https://doi.org/10.1109/iscas.2003.1205780","title":"Saving the bandwidth in the fractional domain by generalized Hilbert transform pair relations","display_name":"Saving the bandwidth in the fractional domain by generalized Hilbert transform pair relations","publication_year":2003,"publication_date":"2003-11-04","ids":{"openalex":"https://openalex.org/W2115660598","doi":"https://doi.org/10.1109/iscas.2003.1205780","mag":"2115660598"},"language":"en","primary_location":{"id":"doi:10.1109/iscas.2003.1205780","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2003.1205780","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/A5085279585","display_name":"Soo\u2010Chang Pei","orcid":"https://orcid.org/0000-0003-2448-4196"},"institutions":[{"id":"https://openalex.org/I16733864","display_name":"National Taiwan University","ror":"https://ror.org/05bqach95","country_code":"TW","type":"education","lineage":["https://openalex.org/I16733864"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Soo-Chang Pei","raw_affiliation_strings":["Department of Electrical Engineering, National Taiwan University, Taipei, Taiwan","Dept. of Electr. Eng.. Nat. Taiwan Univ., Taipei, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, National Taiwan University, Taipei, Taiwan","institution_ids":["https://openalex.org/I16733864"]},{"raw_affiliation_string":"Dept. of Electr. Eng.. Nat. Taiwan Univ., Taipei, Taiwan","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022371410","display_name":"Jian\u2013Jiun Ding","orcid":"https://orcid.org/0000-0003-4510-2273"},"institutions":[{"id":"https://openalex.org/I16733864","display_name":"National Taiwan University","ror":"https://ror.org/05bqach95","country_code":"TW","type":"education","lineage":["https://openalex.org/I16733864"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Jian-Jiun Ding","raw_affiliation_strings":["Department of Electrical Engineering, National Taiwan University, Taipei, Taiwan","Dept. of Electr. Eng.. Nat. Taiwan Univ., Taipei, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, National Taiwan University, Taipei, Taiwan","institution_ids":["https://openalex.org/I16733864"]},{"raw_affiliation_string":"Dept. of Electr. Eng.. Nat. Taiwan Univ., Taipei, Taiwan","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I16733864"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.19895288,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"4","issue":null,"first_page":"IV","last_page":"89"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9990000128746033,"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":0.9990000128746033,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9986000061035156,"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":0.9966999888420105,"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/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.8919858932495117},{"id":"https://openalex.org/keywords/chirp","display_name":"Chirp","score":0.6840682029724121},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.6043720245361328},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.5717735886573792},{"id":"https://openalex.org/keywords/hilbert-transform","display_name":"Hilbert transform","score":0.5410301685333252},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.5008604526519775},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.47178977727890015},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4563291072845459},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4472292363643646},{"id":"https://openalex.org/keywords/fractal","display_name":"Fractal","score":0.42266055941581726},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41199567914009094},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3604575991630554},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.2089247703552246},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.20330482721328735},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.129641592502594},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.06538134813308716}],"concepts":[{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.8919858932495117},{"id":"https://openalex.org/C132794960","wikidata":"https://www.wikidata.org/wiki/Q27304","display_name":"Chirp","level":3,"score":0.6840682029724121},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.6043720245361328},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.5717735886573792},{"id":"https://openalex.org/C28799612","wikidata":"https://www.wikidata.org/wiki/Q685437","display_name":"Hilbert transform","level":3,"score":0.5410301685333252},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.5008604526519775},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.47178977727890015},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4563291072845459},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4472292363643646},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.42266055941581726},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41199567914009094},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3604575991630554},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.2089247703552246},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.20330482721328735},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.129641592502594},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.06538134813308716},{"id":"https://openalex.org/C520434653","wikidata":"https://www.wikidata.org/wiki/Q38867","display_name":"Laser","level":2,"score":0.0},{"id":"https://openalex.org/C168110828","wikidata":"https://www.wikidata.org/wiki/Q1331626","display_name":"Spectral density","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/iscas.2003.1205780","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2003.1205780","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"},{"id":"pmh:oai:140.112.114.62:246246/200704191002982","is_oa":false,"landing_page_url":"http://ntur.lib.ntu.edu.tw//handle/246246/200704191002982","pdf_url":null,"source":{"id":"https://openalex.org/S4306402491","display_name":"NTUR (\u81fa\u7063\u6a5f\u69cb\u5178\u85cf)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I16733864","host_organization_name":"National Taiwan University","host_organization_lineage":["https://openalex.org/I16733864"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W606473257","https://openalex.org/W1520309894","https://openalex.org/W1980523637","https://openalex.org/W2105282081","https://openalex.org/W2117877331","https://openalex.org/W2161167864","https://openalex.org/W2169175428","https://openalex.org/W6618673398","https://openalex.org/W6631132969","https://openalex.org/W6677184360"],"related_works":["https://openalex.org/W2317831243","https://openalex.org/W2046395214","https://openalex.org/W2383644604","https://openalex.org/W2040742534","https://openalex.org/W2370357644","https://openalex.org/W2060793043","https://openalex.org/W2791873712","https://openalex.org/W2088283703","https://openalex.org/W2120381889","https://openalex.org/W4289821577"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,55],"develop":[4],"some":[5],"methods":[6],"to":[7],"save":[8,57],"the":[9,13,20,24,31,34,38,45,48,62,65,69,90],"bandwidth":[10,63],"required":[11],"in":[12,64],"fractional":[14,17,25,49,66],"domain.":[15,40],"The":[16,87],"domain":[18,22,36,67],"is":[19,30,71],"transformed":[21],"of":[23,33,47,61,89],"Fourier":[26],"transform":[27,51],"(FRFT).":[28],"It":[29],"intermediate":[32],"time":[35],"and":[37,52],"frequency":[39],"We":[41],"find":[42],"that,":[43],"with":[44],"aid":[46],"Hilbert":[50],"other":[53],"techniques,":[54],"can":[56,92],"1/2":[58],"or":[59,82],"3/4":[60],"if":[68],"signal":[70,76],"causal,":[72],"real,":[73],"a":[74,80,83],"real":[75],"multiplied":[77],"by":[78],"chirp,":[79],"fractal,":[81],"finite":[84],"duration":[85],"signal.":[86],"efficiency":[88],"FRFT":[91],"hence":[93],"be":[94],"improved.":[95]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}