{"id":"https://openalex.org/W2164080904","doi":"https://doi.org/10.1109/tsp.2008.2007922","title":"Analytic Wavelet Packets\u2014Combining the Dual-Tree Approach With Wavelet Packets for Signal Analysis and Filtering","display_name":"Analytic Wavelet Packets\u2014Combining the Dual-Tree Approach With Wavelet Packets for Signal Analysis and Filtering","publication_year":2008,"publication_date":"2008-11-06","ids":{"openalex":"https://openalex.org/W2164080904","doi":"https://doi.org/10.1109/tsp.2008.2007922","mag":"2164080904"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2008.2007922","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2008.2007922","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","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/A5053439710","display_name":"Thomas W. Weickert","orcid":"https://orcid.org/0000-0002-6408-718X"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"T. Weickert","raw_affiliation_strings":["Institute of Industrial Information Technology, Universitat Karlsruhe, Karlsruhe, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Industrial Information Technology, Universitat Karlsruhe, Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030861096","display_name":"Claus Benjaminsen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"C. Benjaminsen","raw_affiliation_strings":["Sennheiser Communications A S, Solrod Strand, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sennheiser Communications A S, Solrod Strand, Denmark","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086443400","display_name":"Uwe Kiencke","orcid":null},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"U. Kiencke","raw_affiliation_strings":["Institute of Industrial Information Technology, Universitat Karlsruhe, Karlsruhe, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Industrial Information Technology, Universitat Karlsruhe, Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0517,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.81248368,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"57","issue":"2","first_page":"493","last_page":"502"},"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9884999990463257,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9865999817848206,"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/wavelet-packet-decomposition","display_name":"Wavelet packet decomposition","score":0.8372899889945984},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.7588350176811218},{"id":"https://openalex.org/keywords/complex-wavelet-transform","display_name":"Complex wavelet transform","score":0.7280870676040649},{"id":"https://openalex.org/keywords/second-generation-wavelet-transform","display_name":"Second-generation wavelet transform","score":0.7097105979919434},{"id":"https://openalex.org/keywords/lifting-scheme","display_name":"Lifting scheme","score":0.6650722026824951},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.6594561338424683},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.624143660068512},{"id":"https://openalex.org/keywords/stationary-wavelet-transform","display_name":"Stationary wavelet transform","score":0.6121450662612915},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.539007842540741},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5135236382484436},{"id":"https://openalex.org/keywords/network-packet","display_name":"Network packet","score":0.49729588627815247},{"id":"https://openalex.org/keywords/harmonic-wavelet-transform","display_name":"Harmonic wavelet transform","score":0.46518510580062866},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.45613178610801697},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4478064477443695},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.42959925532341003},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.42195767164230347},{"id":"https://openalex.org/keywords/cascade-algorithm","display_name":"Cascade algorithm","score":0.4133187532424927},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09515589475631714}],"concepts":[{"id":"https://openalex.org/C155777637","wikidata":"https://www.wikidata.org/wiki/Q2736187","display_name":"Wavelet packet decomposition","level":4,"score":0.8372899889945984},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.7588350176811218},{"id":"https://openalex.org/C2777885455","wikidata":"https://www.wikidata.org/wiki/Q5156615","display_name":"Complex wavelet transform","level":5,"score":0.7280870676040649},{"id":"https://openalex.org/C111350171","wikidata":"https://www.wikidata.org/wiki/Q7443700","display_name":"Second-generation wavelet transform","level":5,"score":0.7097105979919434},{"id":"https://openalex.org/C199550912","wikidata":"https://www.wikidata.org/wiki/Q3238415","display_name":"Lifting scheme","level":5,"score":0.6650722026824951},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.6594561338424683},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.624143660068512},{"id":"https://openalex.org/C73339587","wikidata":"https://www.wikidata.org/wiki/Q1375942","display_name":"Stationary wavelet transform","level":5,"score":0.6121450662612915},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.539007842540741},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5135236382484436},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.49729588627815247},{"id":"https://openalex.org/C1109138","wikidata":"https://www.wikidata.org/wiki/Q3280930","display_name":"Harmonic wavelet transform","level":5,"score":0.46518510580062866},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.45613178610801697},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4478064477443695},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.42959925532341003},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.42195767164230347},{"id":"https://openalex.org/C88829872","wikidata":"https://www.wikidata.org/wiki/Q5048176","display_name":"Cascade algorithm","level":5,"score":0.4133187532424927},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09515589475631714},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2008.2007922","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2008.2007922","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W18046889","https://openalex.org/W1484816857","https://openalex.org/W1653130573","https://openalex.org/W1708257072","https://openalex.org/W2018332268","https://openalex.org/W2022905067","https://openalex.org/W2057571891","https://openalex.org/W2070011455","https://openalex.org/W2072246452","https://openalex.org/W2100138396","https://openalex.org/W2104729299","https://openalex.org/W2115755118","https://openalex.org/W2123664929","https://openalex.org/W2127742103","https://openalex.org/W2141431859","https://openalex.org/W2146842127","https://openalex.org/W2155941280","https://openalex.org/W2156447271","https://openalex.org/W2177031359","https://openalex.org/W6637641960","https://openalex.org/W6665132958","https://openalex.org/W6685648643"],"related_works":["https://openalex.org/W2205192157","https://openalex.org/W2085792030","https://openalex.org/W2368320199","https://openalex.org/W2391053410","https://openalex.org/W2101997086","https://openalex.org/W1889651196","https://openalex.org/W2274421086","https://openalex.org/W2355386503","https://openalex.org/W2073231481","https://openalex.org/W2071357496"],"abstract_inverted_index":{"Real":[0],"wavelets":[1],"(or":[2],"real":[3],"basis":[4,91],"functions":[5],"in":[6,82],"general)":[7],"suffer":[8],"from":[9],"two":[10],"major":[11],"disadvantages:":[12],"shift-variance":[13],"and":[14,46,71],"oscillating":[15,49],"coefficients.":[16,50,74],"This":[17],"paper":[18],"provides":[19],"a":[20,61,76],"review":[21],"of":[22,36,53,96],"these":[23],"problems":[24],"as":[25,27],"well":[26],"the":[28,34,94,97],"undecimated":[29,39],"wavelet":[30,64,87],"transform":[31,65],"which":[32,67],"solves":[33],"problem":[35],"shift-variance.":[37],"However,":[38],"transforms":[40],"have":[41,48,59],"very":[42],"high":[43],"computational":[44],"costs":[45],"still":[47],"The":[51],"work":[52],"Kingsbury":[54],"is":[55,68,80,100],"summarized":[56],"afterwards.":[57],"They":[58],"presented":[60],"dual-tree":[62],"complex":[63,86],"(DTCWT)":[66],"nearly":[69],"shift-invariant":[70],"has":[72],"smooth":[73],"Subsequently,":[75],"filter":[77],"swapping":[78],"scheme":[79],"developed":[81],"order":[83],"to":[84],"create":[85],"packets":[88],"with":[89],"analytic":[90],"functions.":[92],"Finally,":[93],"effectiveness":[95],"proposed":[98],"method":[99],"demonstrated":[101],"by":[102],"five":[103],"examples.":[104]},"counts_by_year":[{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
