{"id":"https://openalex.org/W2145795527","doi":"https://doi.org/10.1142/s0218126604001982","title":"VLSI ARCHITECTURES OF DAUBECHIES WAVELET TRANSFORMS USING ALGEBRAIC INTEGERS","display_name":"VLSI ARCHITECTURES OF DAUBECHIES WAVELET TRANSFORMS USING ALGEBRAIC INTEGERS","publication_year":2004,"publication_date":"2004-12-01","ids":{"openalex":"https://openalex.org/W2145795527","doi":"https://doi.org/10.1142/s0218126604001982","mag":"2145795527"},"language":"en","primary_location":{"id":"doi:10.1142/s0218126604001982","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218126604001982","pdf_url":null,"source":{"id":"https://openalex.org/S167602672","display_name":"Journal of Circuits Systems and Computers","issn_l":"0218-1266","issn":["0218-1266","1793-6454"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Circuits, Systems and Computers","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/A5089274119","display_name":"Khan A. Wahid","orcid":"https://orcid.org/0000-0003-0125-9789"},"institutions":[{"id":"https://openalex.org/I168635309","display_name":"University of Calgary","ror":"https://ror.org/03yjb2x39","country_code":"CA","type":"education","lineage":["https://openalex.org/I168635309"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"KHAN WAHID","raw_affiliation_strings":["ATIPS Laboratory, Department of Electrical and Computer Engineering, University of Calgary, 2500 University Dr. NW, Calgary, Alberta, Canada, T2N 1N4, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ATIPS Laboratory, Department of Electrical and Computer Engineering, University of Calgary, 2500 University Dr. NW, Calgary, Alberta, Canada, T2N 1N4, Canada","institution_ids":["https://openalex.org/I168635309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037298442","display_name":"Vassil S. Dimitrov","orcid":null},"institutions":[{"id":"https://openalex.org/I168635309","display_name":"University of Calgary","ror":"https://ror.org/03yjb2x39","country_code":"CA","type":"education","lineage":["https://openalex.org/I168635309"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"VASSIL DIMITROV","raw_affiliation_strings":["ATIPS Laboratory, Department of Electrical and Computer Engineering, University of Calgary, 2500 University Dr. NW, Calgary, Alberta, Canada, T2N 1N4, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ATIPS Laboratory, Department of Electrical and Computer Engineering, University of Calgary, 2500 University Dr. NW, Calgary, Alberta, Canada, T2N 1N4, Canada","institution_ids":["https://openalex.org/I168635309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007393900","display_name":"G.A. Jullien","orcid":"https://orcid.org/0009-0009-0911-2926"},"institutions":[{"id":"https://openalex.org/I168635309","display_name":"University of Calgary","ror":"https://ror.org/03yjb2x39","country_code":"CA","type":"education","lineage":["https://openalex.org/I168635309"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"GRAHAM JULLIEN","raw_affiliation_strings":["ATIPS Laboratory, Department of Electrical and Computer Engineering, University of Calgary, 2500 University Dr. NW, Calgary, Alberta, Canada, T2N 1N4, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ATIPS Laboratory, Department of Electrical and Computer Engineering, University of Calgary, 2500 University Dr. NW, Calgary, Alberta, Canada, T2N 1N4, Canada","institution_ids":["https://openalex.org/I168635309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I168635309"],"apc_list":null,"apc_paid":null,"fwci":0.2719,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.62183873,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"13","issue":"06","first_page":"1251","last_page":"1270"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9998999834060669,"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":0.9998999834060669,"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/T11659","display_name":"Advanced Image Fusion Techniques","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"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":0.9962000250816345,"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/daubechies-wavelet","display_name":"Daubechies wavelet","score":0.7157248258590698},{"id":"https://openalex.org/keywords/very-large-scale-integration","display_name":"Very-large-scale integration","score":0.7028350830078125},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.6682067513465881},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.6008113622665405},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5400858521461487},{"id":"https://openalex.org/keywords/second-generation-wavelet-transform","display_name":"Second-generation wavelet transform","score":0.508070707321167},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.4985842704772949},{"id":"https://openalex.org/keywords/algebraic-operation","display_name":"Algebraic operation","score":0.4635870158672333},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45649731159210205},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4480220079421997},{"id":"https://openalex.org/keywords/stationary-wavelet-transform","display_name":"Stationary wavelet transform","score":0.41735637187957764},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3609636425971985},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.3121039867401123},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15045812726020813}],"concepts":[{"id":"https://openalex.org/C2779855323","wikidata":"https://www.wikidata.org/wiki/Q1172774","display_name":"Daubechies wavelet","level":5,"score":0.7157248258590698},{"id":"https://openalex.org/C14580979","wikidata":"https://www.wikidata.org/wiki/Q876049","display_name":"Very-large-scale integration","level":2,"score":0.7028350830078125},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.6682067513465881},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.6008113622665405},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5400858521461487},{"id":"https://openalex.org/C111350171","wikidata":"https://www.wikidata.org/wiki/Q7443700","display_name":"Second-generation wavelet transform","level":5,"score":0.508070707321167},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.4985842704772949},{"id":"https://openalex.org/C136003732","wikidata":"https://www.wikidata.org/wiki/Q3854337","display_name":"Algebraic operation","level":3,"score":0.4635870158672333},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45649731159210205},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4480220079421997},{"id":"https://openalex.org/C73339587","wikidata":"https://www.wikidata.org/wiki/Q1375942","display_name":"Stationary wavelet transform","level":5,"score":0.41735637187957764},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3609636425971985},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.3121039867401123},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15045812726020813},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218126604001982","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218126604001982","pdf_url":null,"source":{"id":"https://openalex.org/S167602672","display_name":"Journal of Circuits Systems and Computers","issn_l":"0218-1266","issn":["0218-1266","1793-6454"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Circuits, Systems and Computers","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320310709","display_name":"CMC Microsystems","ror":"https://ror.org/03k70ea39"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1968977014","https://openalex.org/W1981663184","https://openalex.org/W2010418711","https://openalex.org/W2054166669","https://openalex.org/W2067530554","https://openalex.org/W2069830632","https://openalex.org/W2088783711","https://openalex.org/W2090446109","https://openalex.org/W2091920794","https://openalex.org/W2095139009","https://openalex.org/W2098914003","https://openalex.org/W2113356445","https://openalex.org/W2114438412","https://openalex.org/W2124173805","https://openalex.org/W2126968870","https://openalex.org/W2132984323","https://openalex.org/W2155962605","https://openalex.org/W2165286774","https://openalex.org/W2166982406","https://openalex.org/W2168709997","https://openalex.org/W3021014091"],"related_works":["https://openalex.org/W2085792030","https://openalex.org/W2059234650","https://openalex.org/W1588899229","https://openalex.org/W2101997086","https://openalex.org/W1889651196","https://openalex.org/W4310584255","https://openalex.org/W1918078477","https://openalex.org/W4249722514","https://openalex.org/W2037009764","https://openalex.org/W2890138326"],"abstract_inverted_index":{"Two-Dimensional":[0],"Wavelet":[1,26,136],"Transforms":[2,27],"have":[3],"proven":[4],"to":[5,88],"be":[6],"highly":[7],"effective":[8],"tools":[9],"for":[10,34,128],"image":[11,55],"analysis.":[12],"In":[13,57],"this":[14],"paper,":[15],"we":[16],"present":[17],"a":[18],"VLSI":[19,80],"implementation":[20],"of":[21,64,130],"four-":[22],"and":[23,41,46,84,106,119],"six-coefficient":[24],"Daubechies":[25,38,134],"using":[28],"an":[29],"algebraic":[30,61],"integer":[31,62],"encoding":[32],"representation":[33,63],"the":[35,60,65,72,79,94],"coefficients.":[36],"The":[37,123],"filters":[39],"(DAUB4":[40],"DAUB6)":[42],"provide":[43],"excellent":[44],"spatial":[45],"spectral":[47],"locality,":[48],"properties":[49],"which":[50],"make":[51],"it":[52,111],"useful":[53],"in":[54,93],"compression.":[56],"our":[58],"algorithm,":[59],"wavelet":[66],"coefficients":[67],"provides":[68],"error-free":[69],"calculations":[70],"until":[71],"final":[73],"reconstruction":[74],"step.":[75],"This":[76],"also":[77,126],"makes":[78],"architecture":[81,124],"simple,":[82],"multiplication-free":[83],"inherently":[85],"parallel.":[86],"Compared":[87],"other":[89],"DWT":[90],"algorithms":[91],"found":[92],"literature,":[95],"such":[96],"as":[97],"embedded":[98],"zero-tree,":[99],"recursive":[100],"or":[101,132],"semi-recursive,":[102],"linear":[103],"systolic":[104],"arrays":[105],"conventional":[107],"fixed-point":[108],"binary":[109],"architectures,":[110],"has":[112],"reduced":[113],"hardware":[114],"cost,":[115],"lower":[116],"power":[117],"dissipation":[118],"optimized":[120],"data-bus":[121],"utilization.":[122],"is":[125],"cascadable":[127],"computation":[129],"one-":[131],"multi-dimensional":[133],"Discrete":[135],"Transforms.":[137]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}