{"id":"https://openalex.org/W2001393957","doi":"https://doi.org/10.1142/s0219691304000494","title":"TIME-SHIFTS GENERALIZED MULTIRESOLUTION ANALYSIS OVER DYADIC-SCALING REDUCING SUBSPACES","display_name":"TIME-SHIFTS GENERALIZED MULTIRESOLUTION ANALYSIS OVER DYADIC-SCALING REDUCING SUBSPACES","publication_year":2004,"publication_date":"2004-08-30","ids":{"openalex":"https://openalex.org/W2001393957","doi":"https://doi.org/10.1142/s0219691304000494","mag":"2001393957"},"language":"en","primary_location":{"id":"doi:10.1142/s0219691304000494","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691304000494","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"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":"International Journal of Wavelets, Multiresolution and Information Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://escholarship.org/content/qt2pm5d3sc/qt2pm5d3sc.pdf?t=lnr7pw","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075490197","display_name":"N. Levan","orcid":null},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"NHAN LEVAN","raw_affiliation_strings":["Department of Electrical Engineering, University of California in Los Angeles, Los Angeles, CA 90024-1594, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of California in Los Angeles, Los Angeles, CA 90024-1594, USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055104605","display_name":"Carlos S. Kubrusly","orcid":null},"institutions":[{"id":"https://openalex.org/I2699952","display_name":"Pontif\u00edcia Universidade Cat\u00f3lica do Rio de Janeiro","ror":"https://ror.org/01dg47b60","country_code":"BR","type":"education","lineage":["https://openalex.org/I2699952"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"CARLOS S. KUBRUSLY","raw_affiliation_strings":["Catholic University of Rio de Janeiro, 22453-900, Rio de Janeiro, RJ, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Catholic University of Rio de Janeiro, 22453-900, Rio de Janeiro, RJ, Brazil","institution_ids":["https://openalex.org/I2699952"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5075490197"],"corresponding_institution_ids":["https://openalex.org/I161318765"],"apc_list":null,"apc_paid":null,"fwci":0.8285,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.74415354,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"02","issue":"03","first_page":"237","last_page":"248"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9995999932289124,"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":0.9995999932289124,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9976000189781189,"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":0.9692000150680542,"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/linear-subspace","display_name":"Linear subspace","score":0.9327903985977173},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.8397289514541626},{"id":"https://openalex.org/keywords/orthonormal-basis","display_name":"Orthonormal basis","score":0.8382513523101807},{"id":"https://openalex.org/keywords/multiresolution-analysis","display_name":"Multiresolution analysis","score":0.6985985636711121},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5908893942832947},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5426055192947388},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.5420892834663391},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.5369086265563965},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.45869535207748413},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.36675673723220825},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.270191490650177},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.25782424211502075},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23055362701416016},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1725170910358429},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10200566053390503},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09645262360572815}],"concepts":[{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.9327903985977173},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.8397289514541626},{"id":"https://openalex.org/C5806529","wikidata":"https://www.wikidata.org/wiki/Q2365325","display_name":"Orthonormal basis","level":2,"score":0.8382513523101807},{"id":"https://openalex.org/C121927907","wikidata":"https://www.wikidata.org/wiki/Q1952516","display_name":"Multiresolution analysis","level":5,"score":0.6985985636711121},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5908893942832947},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5426055192947388},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.5420892834663391},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.5369086265563965},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.45869535207748413},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36675673723220825},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.270191490650177},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25782424211502075},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23055362701416016},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1725170910358429},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10200566053390503},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09645262360572815},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0219691304000494","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691304000494","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"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":"International Journal of Wavelets, Multiresolution and Information Processing","raw_type":"journal-article"},{"id":"pmh:oai:escholarship.org/ark:/13030/qt2pm5d3sc","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/2pm5d3sc","pdf_url":"https://escholarship.org/content/qt2pm5d3sc/qt2pm5d3sc.pdf?t=lnr7pw","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Wavelets, Multiresolution and Information Processing, vol 2","raw_type":"article"},{"id":"pmh:qt2pm5d3sc","is_oa":false,"landing_page_url":"http://www.escholarship.org/uc/item/2pm5d3sc","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Levan, Nhan; & Kubrusly, Carlos S. (2004). Time-shifts Generalized Multiresolution Analysis over Dyadic-Scaling Reducing Subspaces. International Journal of Wavelets, Multiresolution and Information Processing, 2, 237 - 248. UCLA: Retrieved from: http://www.escholarship.org/uc/item/2pm5d3sc","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:escholarship.org/ark:/13030/qt2pm5d3sc","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/2pm5d3sc","pdf_url":"https://escholarship.org/content/qt2pm5d3sc/qt2pm5d3sc.pdf?t=lnr7pw","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Wavelets, Multiresolution and Information Processing, vol 2","raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2001393957.pdf","grobid_xml":"https://content.openalex.org/works/W2001393957.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W1489213177","https://openalex.org/W1602120208","https://openalex.org/W1891777266","https://openalex.org/W1964616461","https://openalex.org/W1980149518","https://openalex.org/W2003176204","https://openalex.org/W2013987111","https://openalex.org/W2045236482","https://openalex.org/W2045842434","https://openalex.org/W2063223871","https://openalex.org/W2115755118","https://openalex.org/W2132984323","https://openalex.org/W4256555983"],"related_works":["https://openalex.org/W2896134808","https://openalex.org/W3172436493","https://openalex.org/W4287164812","https://openalex.org/W2957492749","https://openalex.org/W1887135636","https://openalex.org/W2386063599","https://openalex.org/W1975884855","https://openalex.org/W3159603713","https://openalex.org/W3213150849","https://openalex.org/W4285605394"],"abstract_inverted_index":{"A":[0],"Generalized":[1],"Multiresolution":[2],"Analysis":[3],"(GMRA)":[4],"associated":[5,114,121],"with":[6,22,115,122],"a":[7,10,29,38,54,78],"wavelet":[8],"is":[9,99],"sequence":[11],"of":[12,15,33,53,58,86,103,107],"nested":[13],"subspaces":[14,35,47,87,106],"the":[16,34,59,70,108],"function":[17],"space":[18],"\u2112":[19],"2":[20,40,95],"(\u211d),":[21],"specific":[23],"properties,":[24],"and":[25],"arranged":[26],"in":[27,51,84],"such":[28],"way":[30],"that":[31,77],"each":[32,89],"corresponds":[36],"to":[37],"scale":[39],"m":[41,96],"over":[42,92],"all":[43,93],"time-shifts":[44],"n.":[45],"These":[46],"can":[48,80],"be":[49,82,126],"expressed":[50,83],"terms":[52,85],"generating-wandering":[55],"subspace":[56],"\u2014":[57,62,67],"dyadic-scaling":[60,109],"operator":[61],"spanned":[63],"by":[64,101],"orthonormal":[65],"wavelet-functions":[66],"generated":[68],"from":[69],"wavelet.":[71],"In":[72],"this":[73],"paper":[74],"we":[75],"show":[76],"GMRA":[79,113],"also":[81],"for":[88],"time-shift":[90],"n":[91],"scales":[94],".":[97],"This":[98],"achieved":[100],"means":[102],"\"elementary\"":[104],"reducing":[105],"operator.":[110],"Consequently,":[111],"Time-Shifts":[112],"wavelets,":[116],"as":[117,119],"well":[118],"\"sub-GMRA\"":[120],"\"sub-wavelets\"":[123],"will":[124],"then":[125],"introduced.":[127]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}