{"id":"https://openalex.org/W2182669607","doi":null,"title":"On construction of symmetric compactly supported biorthogonal multiwavelets with short sequences","display_name":"On construction of symmetric compactly supported biorthogonal multiwavelets with short sequences","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2182669607","mag":"2182669607"},"language":"en","primary_location":{"id":"mag:2182669607","doi":null,"is_oa":false,"landing_page_url":"http://naturalspublishing.com/files/published/fs575w7844lfej.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4210172656","display_name":"Applied Mathematics & Information Sciences","issn_l":"1935-0090","issn":["1935-0090","2325-0399"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","poland-40","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4353108630","host_organization_name":"Natural Sciences Publishing","host_organization_lineage":["https://openalex.org/P4353108630"],"host_organization_lineage_names":["Natural Sciences Publishing"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Applied Mathematics & Information Sciences","raw_type":null},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"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/A5082462498","display_name":"Yigang Cen","orcid":"https://orcid.org/0000-0001-6255-9422","observed_orcids":["https://orcid.org/0000-0001-6255-9422"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yigang Cen","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-6255-9422","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065060171","display_name":"Lihui Cen","orcid":"https://orcid.org/0000-0002-5323-4818","observed_orcids":["https://orcid.org/0000-0002-5323-4818"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lihui Cen","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-5323-4818","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5100669984","display_name":"Xiaofang Chen","orcid":"https://orcid.org/0000-0002-7188-032X","observed_orcids":["https://orcid.org/0000-0002-7188-032X"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xiaofang Chen","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"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":"06","issue":"3","first_page":"501","last_page":"508"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9829000234603882,"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":0.9829000234603882,"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":0.011099999770522118,"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/T10901","display_name":"Advanced Data Compression Techniques","score":0.0038999998942017555,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/biorthogonal-multiwavelets","display_name":"biorthogonal multiwavelets","score":0.9589999914169312},{"id":"https://openalex.org/keywords/compactly-supported-wavelets","display_name":"compactly supported wavelets","score":0.9620000123977661},{"id":"https://openalex.org/keywords/short-sequences","display_name":"short sequences","score":0.8889999985694885},{"id":"https://openalex.org/keywords/perfect-reconstruction","display_name":"perfect reconstruction","score":0.7269999980926514},{"id":"https://openalex.org/keywords/scaling-functions","display_name":"scaling functions","score":0.5899999737739563}],"concepts":[{"id":"https://openalex.org/C158453530","wikidata":"https://www.wikidata.org/wiki/Q864692","display_name":"Biorthogonal system","level":4,"score":0.9625058174133301},{"id":"https://openalex.org/C96157337","wikidata":"https://www.wikidata.org/wiki/Q391639","display_name":"Polyphase system","level":2,"score":0.7713476419448853},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6533880233764648},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.6224837303161621},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.5688424706459045},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5032472014427185},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.48219481110572815},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44592583179473877},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.41103675961494446},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22569680213928223},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22203654050827026},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.21998238563537598},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.12884625792503357},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05654251575469971},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.053132593631744385},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2182669607","doi":null,"is_oa":false,"landing_page_url":"http://naturalspublishing.com/files/published/fs575w7844lfej.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4210172656","display_name":"Applied Mathematics & Information Sciences","issn_l":"1935-0090","issn":["1935-0090","2325-0399"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","poland-40","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4353108630","host_organization_name":"Natural Sciences Publishing","host_organization_lineage":["https://openalex.org/P4353108630"],"host_organization_lineage_names":["Natural Sciences Publishing"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Applied Mathematics & Information Sciences","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W1504286055","https://openalex.org/W1533880433","https://openalex.org/W1542002084","https://openalex.org/W1555190831","https://openalex.org/W1570404220","https://openalex.org/W1692149955","https://openalex.org/W1750337463","https://openalex.org/W1855930030","https://openalex.org/W1897169335","https://openalex.org/W1959815587","https://openalex.org/W1963725933","https://openalex.org/W1964616461","https://openalex.org/W1967763965","https://openalex.org/W1969250558","https://openalex.org/W1982767880","https://openalex.org/W1987801015","https://openalex.org/W1993687344","https://openalex.org/W2004417889","https://openalex.org/W2005920787","https://openalex.org/W2006113605","https://openalex.org/W2015784222","https://openalex.org/W2018663426","https://openalex.org/W2025338069","https://openalex.org/W2034380889","https://openalex.org/W2038372657","https://openalex.org/W2047448729","https://openalex.org/W2065241096","https://openalex.org/W2071148395","https://openalex.org/W2081485185","https://openalex.org/W2083089209","https://openalex.org/W2088307103","https://openalex.org/W2094504228","https://openalex.org/W2102624847","https://openalex.org/W2103080710","https://openalex.org/W2109376537","https://openalex.org/W2109411320","https://openalex.org/W2130466981","https://openalex.org/W2137506410","https://openalex.org/W2138067375","https://openalex.org/W2141725868","https://openalex.org/W2154004643","https://openalex.org/W2156763515","https://openalex.org/W2166443651","https://openalex.org/W2168555994","https://openalex.org/W2170776274","https://openalex.org/W2172131996","https://openalex.org/W2320034617","https://openalex.org/W2467465531","https://openalex.org/W2611124616","https://openalex.org/W2726894398","https://openalex.org/W2901281917","https://openalex.org/W2902793019","https://openalex.org/W2922141652","https://openalex.org/W2999284692","https://openalex.org/W3048924482","https://openalex.org/W3128947602","https://openalex.org/W3172468545","https://openalex.org/W3180896830","https://openalex.org/W4255156132"],"related_works":["https://openalex.org/W2107241662","https://openalex.org/W2053592415","https://openalex.org/W2006113605","https://openalex.org/W2062180582","https://openalex.org/W2073374589","https://openalex.org/W2105069529","https://openalex.org/W1963725933","https://openalex.org/W2295036161","https://openalex.org/W7097915823","https://openalex.org/W1917821495"],"abstract_inverted_index":{"A":[0],"novel":[1],"approach":[2],"for":[3,71],"constructing":[4],"symmetric":[5,20,29,37,75],"compactly":[6,76],"supported":[7,77],"biorthogonal":[8,23,78],"multiwavelets":[9,79],"with":[10,80],"short":[11,81],"sequences":[12],"is":[13],"proposed":[14,69],"in":[15],"this":[16],"paper.":[17],"For":[18],"some":[19],"types":[21],"of":[22,31,39,51,58,74],"multiwavelet":[24],"systems,":[25],"starting":[26],"from":[27],"the":[28,48,52,56,72],"properties":[30],"scaling":[32],"and":[33],"wavelet":[34],"functions,":[35],"parameterized":[36],"forms":[38],"polyphase":[40,59],"matrices":[41,60],"can":[42,61],"be":[43,62],"derived.":[44],"Furthermore,":[45],"according":[46],"to":[47,67],"matrix":[49],"equations":[50],"perfect":[53],"reconstruction":[54],"condition,":[55],"parameters":[57],"reduced,":[63],"which":[64],"finally":[65],"leads":[66],"our":[68],"algorithm":[70],"construction":[73],"sequences.":[82]},"counts_by_year":[],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2016-06-24T00:00:00"}
