{"id":"https://openalex.org/W2162201885","doi":"https://doi.org/10.1142/s0219691304000470","title":"STUDY ON RECURSIVE CONSTRUCTION METHOD OF BIORTHOGONAL WAVELETS FOR SIGNAL PROCESSING","display_name":"STUDY ON RECURSIVE CONSTRUCTION METHOD OF BIORTHOGONAL WAVELETS FOR SIGNAL PROCESSING","publication_year":2004,"publication_date":"2004-06-01","ids":{"openalex":"https://openalex.org/W2162201885","doi":"https://doi.org/10.1142/s0219691304000470","mag":"2162201885"},"language":"en","primary_location":{"id":"doi:10.1142/s0219691304000470","doi":"https://doi.org/10.1142/s0219691304000470","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691304000470","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,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-40","russia-white-list-3"],"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"},"volume":null,"type":"article","is_traditional":true,"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/A5000044974","display_name":"Zhonghong Yan","orcid":"https://orcid.org/0000-0002-7420-0828","observed_orcids":["https://orcid.org/0000-0002-7420-0828"]},"institutions":[{"id":"https://openalex.org/I50632499","display_name":"Chongqing University of Technology","ror":"https://ror.org/04vgbd477","country_code":"CN","type":"education","lineage":["https://openalex.org/I50632499"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"ZHONGHONG YAN","raw_affiliation_strings":["Department of Bioengineering, Chongqing Institute of Technology, Chongqing 400050, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Bioengineering, Chongqing Institute of Technology, Chongqing 400050, P. R. China","institution_ids":["https://openalex.org/I50632499"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100692320","display_name":"Jianping Li","orcid":"https://orcid.org/0000-0003-2192-1450","observed_orcids":["https://orcid.org/0000-0003-2192-1450","https://orcid.org/0000-0002-8117-9449"]},"institutions":[{"id":"https://openalex.org/I52604927","display_name":"PLA Army Service Academy","ror":"https://ror.org/02syyrn67","country_code":"CN","type":"education","lineage":["https://openalex.org/I52604927"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"JIAN PING LI","raw_affiliation_strings":["International Centre for Wavelet Analysis and Its Applications, Logistical Engineering University, Chongqing 400016, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"International Centre for Wavelet Analysis and Its Applications, Logistical Engineering University, Chongqing 400016, P. R. China","institution_ids":["https://openalex.org/I52604927"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111548751","display_name":"YONG QIN YANG","orcid":"https://orcid.org/0009-0000-3332-7390","observed_orcids":["https://orcid.org/0009-0000-3332-7390","https://orcid.org/0000-0003-3526-560X"]},"institutions":[{"id":"https://openalex.org/I63371133","display_name":"Chongqing Jiaotong University","ror":"https://ror.org/01t001k65","country_code":"CN","type":"education","lineage":["https://openalex.org/I63371133"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"YONG QIN YANG","raw_affiliation_strings":["Chongqing Jiaotong University, Chongqing 400074, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chongqing Jiaotong University, Chongqing 400074, P. R. China","institution_ids":["https://openalex.org/I63371133"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085140523","display_name":"Yuan Yan Tang","orcid":"https://orcid.org/0000-0002-6887-130X","observed_orcids":["https://orcid.org/0000-0002-6887-130X","https://orcid.org/0000-0001-6772-9427"]},"institutions":[{"id":"https://openalex.org/I141568987","display_name":"Hong Kong Baptist University","ror":"https://ror.org/0145fw131","country_code":"HK","type":"education","lineage":["https://openalex.org/I141568987"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"YUAN YAN TANG","raw_affiliation_strings":["Department of Computer Science, Hong Kong Baptist University, Hong Kong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Hong Kong Baptist University, Hong Kong, China","institution_ids":["https://openalex.org/I141568987"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"02","issue":"02","first_page":"197","last_page":"206"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.6211000084877014,"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"}},"topics":[{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.6211000084877014,"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/T10901","display_name":"Advanced Data Compression Techniques","score":0.3456999957561493,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.025599999353289604,"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/biorthogonal-wavelets","display_name":"biorthogonal wavelets","score":0.9990000128746033},{"id":"https://openalex.org/keywords/recursive-construction","display_name":"recursive construction","score":0.8650000095367432},{"id":"https://openalex.org/keywords/symmetric-wavelets","display_name":"symmetric wavelets","score":0.6880000233650208},{"id":"https://openalex.org/keywords/wavelet-bases","display_name":"wavelet bases","score":0.546999990940094},{"id":"https://openalex.org/keywords/adaptive-signal-processing","display_name":"adaptive signal processing","score":0.8489999771118164},{"id":"https://openalex.org/keywords/quadrature-mirror-filters","display_name":"quadrature mirror filters","score":0.746999979019165},{"id":"https://openalex.org/keywords/image-compression","display_name":"image compression","score":0.6010000109672546},{"id":"https://openalex.org/keywords/signal-analysis","display_name":"signal analysis","score":0.6290000081062317}],"concepts":[{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.8160680532455444},{"id":"https://openalex.org/C158453530","wikidata":"https://www.wikidata.org/wiki/Q864692","display_name":"Biorthogonal system","level":4,"score":0.6401276588439941},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.6101865172386169},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5608004927635193},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.549445390701294},{"id":"https://openalex.org/C2779913896","wikidata":"https://www.wikidata.org/wiki/Q7063001","display_name":"Notice","level":2,"score":0.5465561747550964},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5436886548995972},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.5206838846206665},{"id":"https://openalex.org/C2778869661","wikidata":"https://www.wikidata.org/wiki/Q4915256","display_name":"Biorthogonal wavelet","level":5,"score":0.5170105695724487},{"id":"https://openalex.org/C114825156","wikidata":"https://www.wikidata.org/wiki/Q4775328","display_name":"Antisymmetry","level":2,"score":0.5112026333808899},{"id":"https://openalex.org/C123769847","wikidata":"https://www.wikidata.org/wiki/Q6517888","display_name":"Legendre wavelet","level":5,"score":0.47570452094078064},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4002250134944916},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.37576553225517273},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37528201937675476},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.37142136693000793},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.36375659704208374},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32613855600357056},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.27413690090179443},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.12088119983673096},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.07942122220993042},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0219691304000470","doi":"https://doi.org/10.1142/s0219691304000470","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691304000470","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,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-40","russia-white-list-3"],"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"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W2033966461"],"related_works":["https://openalex.org/W2393437302","https://openalex.org/W2134359006","https://openalex.org/W2389486691","https://openalex.org/W3025151680","https://openalex.org/W2115542458","https://openalex.org/W2077616584","https://openalex.org/W2358660395","https://openalex.org/W2155652889","https://openalex.org/W2114746811","https://openalex.org/W2107708078"],"abstract_inverted_index":{"Wavelet":[0],"has":[1,30,67],"been":[2],"applying":[3],"in":[4,24],"signal":[5,28,72],"analyzing,":[6],"image":[7,26],"processing":[8,73],"model":[9],"recognizing,":[10],"computer":[11],"sense":[12],"etc.":[13,81],"But":[14],"among":[15],"them":[16],"biorthogonal":[17],"wavelets":[18],"with":[19],"symmetry":[20],"characteristics":[21],"(or":[22],"antisymmetry)":[23],"the":[25,42,56,59,64,89],"compressing,":[27],"examination":[29],"more":[31,75],"special":[32],"functions,":[33],"this":[34],"paper":[35],"research":[36],"a":[37],"recursive":[38,52],"construction":[39],"method,":[40],"at":[41],"same":[43,57],"time,":[44],"It":[45,83],"is":[46,84],"valuable":[47],"to":[48,70,87,93],"notice":[49],"that":[50],"our":[51],"methods":[53],"are":[54],"not":[55],"as":[58,78],"W.":[60],"Seldens's":[61],"lifting":[62],"scheme,":[63],"new":[65],"technique":[66],"important":[68],"mean":[69],"adaptive":[71],"and":[74],"application:":[76],"such":[77],"for":[79],"QMF\u2022CQF":[80],"filters.":[82],"very":[85],"easy":[86],"choose":[88],"wavelet":[90],"bases":[91],"match":[92],"questions":[94],"by":[95],"dynamically.":[96]},"counts_by_year":[],"updated_date":"2026-11-05T12:25:35.769452","created_date":"2016-06-24T00:00:00"}
