{"id":"https://openalex.org/W2105428908","doi":"https://doi.org/10.1109/tsp.2011.6043695","title":"Segmented computation of wavelet transform via lifting scheme","display_name":"Segmented computation of wavelet transform via lifting scheme","publication_year":2011,"publication_date":"2011-08-01","ids":{"openalex":"https://openalex.org/W2105428908","doi":"https://doi.org/10.1109/tsp.2011.6043695","mag":"2105428908"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2011.6043695","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2011.6043695","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 34th International Conference on Telecommunications and Signal Processing (TSP)","raw_type":"proceedings-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/A5037304898","display_name":"Zden\u011bk Pr\u016f\u0161a","orcid":"https://orcid.org/0000-0003-0967-9868"},"institutions":[{"id":"https://openalex.org/I60587646","display_name":"Brno University of Technology","ror":"https://ror.org/03613d656","country_code":"CZ","type":"education","lineage":["https://openalex.org/I60587646"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Zdenek Prusa","raw_affiliation_strings":["Faculty of Electrical Engineering and Communication, Department of Telecommunications, Brno University of Technology, Brno, Czech Republic","Brno University of Technology, Faculty of Electrical Engineering and Communication, Department of Telecommunications, Purkynova 118, 612 00 Brno, Czech republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Electrical Engineering and Communication, Department of Telecommunications, Brno University of Technology, Brno, Czech Republic","institution_ids":["https://openalex.org/I60587646"]},{"raw_affiliation_string":"Brno University of Technology, Faculty of Electrical Engineering and Communication, Department of Telecommunications, Purkynova 118, 612 00 Brno, Czech republic","institution_ids":["https://openalex.org/I60587646"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054854110","display_name":"Pavel Rajmic","orcid":"https://orcid.org/0000-0002-8381-4442"},"institutions":[{"id":"https://openalex.org/I60587646","display_name":"Brno University of Technology","ror":"https://ror.org/03613d656","country_code":"CZ","type":"education","lineage":["https://openalex.org/I60587646"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Pavel Rajmic","raw_affiliation_strings":["Faculty of Electrical Engineering and Communication, Department of Telecommunications, Brno University of Technology, Brno, Czech Republic","Brno University of Technology, Faculty of Electrical Engineering and Communication, Department of Telecommunications, Purkynova 118, 612 00 Brno, Czech republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Electrical Engineering and Communication, Department of Telecommunications, Brno University of Technology, Brno, Czech Republic","institution_ids":["https://openalex.org/I60587646"]},{"raw_affiliation_string":"Brno University of Technology, Faculty of Electrical Engineering and Communication, Department of Telecommunications, Purkynova 118, 612 00 Brno, Czech republic","institution_ids":["https://openalex.org/I60587646"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I60587646"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.15527336,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"433","last_page":"437"},"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/T10901","display_name":"Advanced Data Compression Techniques","score":0.9986000061035156,"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":0.9934999942779541,"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/lifting-scheme","display_name":"Lifting scheme","score":0.8012020587921143},{"id":"https://openalex.org/keywords/second-generation-wavelet-transform","display_name":"Second-generation wavelet transform","score":0.7688828706741333},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.7510420083999634},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.7005506157875061},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.6712843179702759},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6636934280395508},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6337804198265076},{"id":"https://openalex.org/keywords/stationary-wavelet-transform","display_name":"Stationary wavelet transform","score":0.5967205166816711},{"id":"https://openalex.org/keywords/cascade-algorithm","display_name":"Cascade algorithm","score":0.523627758026123},{"id":"https://openalex.org/keywords/harmonic-wavelet-transform","display_name":"Harmonic wavelet transform","score":0.5112786293029785},{"id":"https://openalex.org/keywords/wavelet-packet-decomposition","display_name":"Wavelet packet decomposition","score":0.4858786463737488},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4710421860218048},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47081026434898376},{"id":"https://openalex.org/keywords/distortion","display_name":"Distortion (music)","score":0.46121490001678467},{"id":"https://openalex.org/keywords/fast-wavelet-transform","display_name":"Fast wavelet transform","score":0.45224109292030334},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4301251471042633},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.42790910601615906},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2610306143760681},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06364601850509644}],"concepts":[{"id":"https://openalex.org/C199550912","wikidata":"https://www.wikidata.org/wiki/Q3238415","display_name":"Lifting scheme","level":5,"score":0.8012020587921143},{"id":"https://openalex.org/C111350171","wikidata":"https://www.wikidata.org/wiki/Q7443700","display_name":"Second-generation wavelet transform","level":5,"score":0.7688828706741333},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.7510420083999634},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.7005506157875061},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.6712843179702759},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6636934280395508},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6337804198265076},{"id":"https://openalex.org/C73339587","wikidata":"https://www.wikidata.org/wiki/Q1375942","display_name":"Stationary wavelet transform","level":5,"score":0.5967205166816711},{"id":"https://openalex.org/C88829872","wikidata":"https://www.wikidata.org/wiki/Q5048176","display_name":"Cascade algorithm","level":5,"score":0.523627758026123},{"id":"https://openalex.org/C1109138","wikidata":"https://www.wikidata.org/wiki/Q3280930","display_name":"Harmonic wavelet transform","level":5,"score":0.5112786293029785},{"id":"https://openalex.org/C155777637","wikidata":"https://www.wikidata.org/wiki/Q2736187","display_name":"Wavelet packet decomposition","level":4,"score":0.4858786463737488},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4710421860218048},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47081026434898376},{"id":"https://openalex.org/C126780896","wikidata":"https://www.wikidata.org/wiki/Q899871","display_name":"Distortion (music)","level":4,"score":0.46121490001678467},{"id":"https://openalex.org/C132736078","wikidata":"https://www.wikidata.org/wiki/Q338438","display_name":"Fast wavelet transform","level":5,"score":0.45224109292030334},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4301251471042633},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.42790910601615906},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2610306143760681},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06364601850509644},{"id":"https://openalex.org/C194257627","wikidata":"https://www.wikidata.org/wiki/Q211554","display_name":"Amplifier","level":3,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2011.6043695","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2011.6043695","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 34th International Conference on Telecommunications and Signal Processing (TSP)","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":10,"referenced_works":["https://openalex.org/W1952343562","https://openalex.org/W2015370045","https://openalex.org/W2020919250","https://openalex.org/W2053961604","https://openalex.org/W2095665834","https://openalex.org/W2118217749","https://openalex.org/W2165752523","https://openalex.org/W4251101141","https://openalex.org/W4251619700","https://openalex.org/W4302366751"],"related_works":["https://openalex.org/W2463313577","https://openalex.org/W2085792030","https://openalex.org/W2081592859","https://openalex.org/W2368320199","https://openalex.org/W2391053410","https://openalex.org/W2101997086","https://openalex.org/W2594889803","https://openalex.org/W1889651196","https://openalex.org/W2274421086","https://openalex.org/W2071357496"],"abstract_inverted_index":{"This":[0,54],"paper":[1],"presents":[2],"a":[3,17,25,40,172],"novel":[4],"algorithm":[5,89,130,141],"for":[6,78,94],"segmented":[7],"(segmentwise)":[8],"computation":[9,155,165],"of":[10,24,29,59,76,85,92,133,166,175],"forward":[11],"and":[12,67,135,162],"inverse":[13,121],"wavelet":[14,113,123,167],"transform":[15,114,124,168],"via":[16],"lifting":[18,26],"scheme,":[19],"applicable":[20],"to":[21,35,127,131,145],"any":[22],"type":[23],"scheme":[27],"representation":[28],"wavelets.":[30],"The":[31,74,88,140],"main":[32,83],"idea":[33],"is":[34,55,81,125,160],"process":[36,146],"segments":[37,52,159],"taken":[38],"from":[39,99],"long":[41],"one-dimensional":[42],"signal":[43,111,120],"so":[44],"that":[45],"after":[46],"reconstruction,":[47],"no":[48],"border":[49],"distortion":[50],"between":[51],"occurs.":[53],"achieved":[56],"by":[57],"means":[58],"sophisticated":[60],"segment":[61,70,101],"overlapping.":[62],"In":[63],"this":[64,86],"work,":[65],"arbitrary":[66],"possibly":[68],"varying":[69],"lengths":[71],"are":[72,104],"considered.":[73],"derivation":[75],"formulas":[77],"overlap":[79],"enumeration":[80],"the":[82,106,109,118,129,137,154,157],"concern":[84],"work.":[87],"produces":[90],"sets":[91,98,132],"coefficients":[93,108,134],"each":[95,100],"segment.":[96],"These":[97],"ordered":[102],"correctly":[103],"exactly":[105],"same":[107],"whole":[110,119],"discrete":[112,122],"results":[115,138],"in.":[116],"Similarly,":[117],"equal":[126],"applying":[128],"overlapping":[136],"accordingly.":[139],"makes":[142],"it":[143],"possible":[144],"signals":[147],"in":[148],"realtime,":[149],"allows":[150,164],"coarse":[151],"parallelization":[152],"since":[153],"on":[156,169],"particular":[158],"independent":[161],"also":[163],"devices":[170],"with":[171],"limited":[173],"amount":[174],"memory.":[176]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
