{"id":"https://openalex.org/W2101997086","doi":"https://doi.org/10.1109/icassp.1999.756193","title":"A discrete-time wavelet transform based on a continuous dilation framework","display_name":"A discrete-time wavelet transform based on a continuous dilation framework","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W2101997086","doi":"https://doi.org/10.1109/icassp.1999.756193","mag":"2101997086"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.1999.756193","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1999.756193","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258)","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/A5002311337","display_name":"Wei Zhao","orcid":"https://orcid.org/0000-0002-6268-2559"},"institutions":[{"id":"https://openalex.org/I155173764","display_name":"Rochester Institute of Technology","ror":"https://ror.org/00v4yb702","country_code":"US","type":"education","lineage":["https://openalex.org/I155173764"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wei Zhao","raw_affiliation_strings":["Center for Imaging Science/Electrical Engineering Department, Rochester Institute of Technology, Rochester, NY, USA","[Dept. of Electr. Eng., Rochester Inst. of Technol., NY, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Imaging Science/Electrical Engineering Department, Rochester Institute of Technology, Rochester, NY, USA","institution_ids":["https://openalex.org/I155173764"]},{"raw_affiliation_string":"[Dept. of Electr. Eng., Rochester Inst. of Technol., NY, USA]","institution_ids":["https://openalex.org/I155173764"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075151572","display_name":"Raghuveer Rao","orcid":"https://orcid.org/0000-0001-6481-4175"},"institutions":[{"id":"https://openalex.org/I155173764","display_name":"Rochester Institute of Technology","ror":"https://ror.org/00v4yb702","country_code":"US","type":"education","lineage":["https://openalex.org/I155173764"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R.M. Rao","raw_affiliation_strings":["Center for Imaging Science/Electrical Engineering Department, Rochester Institute of Technology, Rochester, NY, USA","[Center for Imaging Science/Electrical Engineering Department, Rochester Institute of Technology, Rochester, NY, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Imaging Science/Electrical Engineering Department, Rochester Institute of Technology, Rochester, NY, USA","institution_ids":["https://openalex.org/I155173764"]},{"raw_affiliation_string":"[Center for Imaging Science/Electrical Engineering Department, Rochester Institute of Technology, Rochester, NY, USA]","institution_ids":["https://openalex.org/I155173764"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I155173764"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.26141079,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1201","last_page":"1204 vol.3"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9997000098228455,"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/T10220","display_name":"Machine Fault Diagnosis Techniques","score":0.9840999841690063,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9833999872207642,"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/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.9075503349304199},{"id":"https://openalex.org/keywords/second-generation-wavelet-transform","display_name":"Second-generation wavelet transform","score":0.8591594099998474},{"id":"https://openalex.org/keywords/stationary-wavelet-transform","display_name":"Stationary wavelet transform","score":0.7613309621810913},{"id":"https://openalex.org/keywords/wavelet-packet-decomposition","display_name":"Wavelet packet decomposition","score":0.7553693652153015},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.7511894702911377},{"id":"https://openalex.org/keywords/harmonic-wavelet-transform","display_name":"Harmonic wavelet transform","score":0.7489912509918213},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.6934177875518799},{"id":"https://openalex.org/keywords/lifting-scheme","display_name":"Lifting scheme","score":0.6931983828544617},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5688508749008179},{"id":"https://openalex.org/keywords/cascade-algorithm","display_name":"Cascade algorithm","score":0.5671185255050659},{"id":"https://openalex.org/keywords/continuous-wavelet-transform","display_name":"Continuous wavelet transform","score":0.561486005783081},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4621674716472626},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3819316029548645},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.30035924911499023}],"concepts":[{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.9075503349304199},{"id":"https://openalex.org/C111350171","wikidata":"https://www.wikidata.org/wiki/Q7443700","display_name":"Second-generation wavelet transform","level":5,"score":0.8591594099998474},{"id":"https://openalex.org/C73339587","wikidata":"https://www.wikidata.org/wiki/Q1375942","display_name":"Stationary wavelet transform","level":5,"score":0.7613309621810913},{"id":"https://openalex.org/C155777637","wikidata":"https://www.wikidata.org/wiki/Q2736187","display_name":"Wavelet packet decomposition","level":4,"score":0.7553693652153015},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.7511894702911377},{"id":"https://openalex.org/C1109138","wikidata":"https://www.wikidata.org/wiki/Q3280930","display_name":"Harmonic wavelet transform","level":5,"score":0.7489912509918213},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.6934177875518799},{"id":"https://openalex.org/C199550912","wikidata":"https://www.wikidata.org/wiki/Q3238415","display_name":"Lifting scheme","level":5,"score":0.6931983828544617},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5688508749008179},{"id":"https://openalex.org/C88829872","wikidata":"https://www.wikidata.org/wiki/Q5048176","display_name":"Cascade algorithm","level":5,"score":0.5671185255050659},{"id":"https://openalex.org/C95722684","wikidata":"https://www.wikidata.org/wiki/Q2622756","display_name":"Continuous wavelet transform","level":5,"score":0.561486005783081},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4621674716472626},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3819316029548645},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.30035924911499023}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.1999.756193","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1999.756193","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258)","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":8,"referenced_works":["https://openalex.org/W2041752335","https://openalex.org/W2045362571","https://openalex.org/W2062024414","https://openalex.org/W2077744433","https://openalex.org/W2098914003","https://openalex.org/W2116988482","https://openalex.org/W2798813531","https://openalex.org/W4255272544"],"related_works":["https://openalex.org/W2085792030","https://openalex.org/W2368320199","https://openalex.org/W2391053410","https://openalex.org/W2274421086","https://openalex.org/W1889651196","https://openalex.org/W2101997086","https://openalex.org/W2355386503","https://openalex.org/W2073231481","https://openalex.org/W2071357496","https://openalex.org/W2164576153"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,26,36,56,62,112],"new":[3,92],"form":[4,93],"of":[5,43,55,85,94,108,115],"wavelet":[6,11,16,21,30,74,87,95],"transform.":[7],"Unlike":[8],"the":[9,19,44,53,65],"continuous":[10,41,68,113],"transform":[12,17,96],"(CWT)":[13],"or":[14],"discrete":[15,66],"(DWT),":[18],"mother":[20,45],"is":[22,81,97],"chosen":[23],"to":[24],"be":[25],"discrete-time":[27,38,57,86,101],"signal":[28,39],"and":[29,67,72,83,103,106],"coefficients":[31],"are":[32,50,76,89],"computed":[33],"by":[34],"correlating":[35],"given":[37],"with":[40],"dilations":[42],"wavelet.":[46],"The":[47,70,78,91],"results":[48],"developed":[49],"based":[51],"on":[52],"definition":[54],"scaling":[58,116],"(dilation)":[59],"operator":[60],"through":[61],"mapping":[63],"between":[64],"frequencies.":[69],"forward":[71],"inverse":[73],"transforms":[75],"formulated.":[77],"admissibility":[79],"condition":[80],"derived,":[82],"examples":[84],"construction":[88],"provided.":[90],"naturally":[98],"suited":[99],"for":[100],"signals":[102,110],"provides":[104],"analysis":[105],"synthesis":[107],"such":[109],"over":[111],"range":[114],"factors.":[117]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}