{"id":"https://openalex.org/W4309690524","doi":"https://doi.org/10.1142/s0219691322500606","title":"Standard pairs and construction of multiwavelets using refinement masks satisfying sum rules of order one","display_name":"Standard pairs and construction of multiwavelets using refinement masks satisfying sum rules of order one","publication_year":2022,"publication_date":"2022-11-22","ids":{"openalex":"https://openalex.org/W4309690524","doi":"https://doi.org/10.1142/s0219691322500606"},"language":"en","primary_location":{"id":"doi:10.1142/s0219691322500606","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691322500606","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040213260","display_name":"P. Poornima","orcid":null},"institutions":[{"id":"https://openalex.org/I122964287","display_name":"National Institute of Technology Tiruchirappalli","ror":"https://ror.org/047x65e68","country_code":"IN","type":"education","lineage":["https://openalex.org/I122964287"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"P. Poornima","raw_affiliation_strings":["Department of Mathematics, National Institute of Technology, Tiruchirappalli 620015, Tamil Nadu, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Institute of Technology, Tiruchirappalli 620015, Tamil Nadu, India","institution_ids":["https://openalex.org/I122964287"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101537619","display_name":"K. Murugesan","orcid":null},"institutions":[{"id":"https://openalex.org/I122964287","display_name":"National Institute of Technology Tiruchirappalli","ror":"https://ror.org/047x65e68","country_code":"IN","type":"education","lineage":["https://openalex.org/I122964287"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"K. Murugesan","raw_affiliation_strings":["Department of Mathematics, National Institute of Technology, Tiruchirappalli 620015, Tamil Nadu, India"],"raw_orcid":"https://orcid.org/0000-0002-6122-6455","affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Institute of Technology, Tiruchirappalli 620015, Tamil Nadu, India","institution_ids":["https://openalex.org/I122964287"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101537619"],"corresponding_institution_ids":["https://openalex.org/I122964287"],"apc_list":null,"apc_paid":null,"fwci":0.4984,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.58174317,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"21","issue":"04","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9889000058174133,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9889000058174133,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11666","display_name":"Color Science and Applications","score":0.9460999965667725,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9157999753952026,"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/order","display_name":"Order (exchange)","score":0.6590246558189392},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.6130078434944153},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5337454080581665},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.48304039239883423},{"id":"https://openalex.org/keywords/generating-function","display_name":"Generating function","score":0.4812731146812439},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4328257441520691},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3598212003707886}],"concepts":[{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6590246558189392},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.6130078434944153},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5337454080581665},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.48304039239883423},{"id":"https://openalex.org/C204911207","wikidata":"https://www.wikidata.org/wiki/Q860609","display_name":"Generating function","level":2,"score":0.4812731146812439},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4328257441520691},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3598212003707886},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0219691322500606","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691322500606","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W2110733303","https://openalex.org/W2326057307","https://openalex.org/W2422978763","https://openalex.org/W2970844545","https://openalex.org/W4223936744","https://openalex.org/W4235195661","https://openalex.org/W4247991102"],"related_works":["https://openalex.org/W2000053006","https://openalex.org/W4387402789","https://openalex.org/W3214346900","https://openalex.org/W2950949433","https://openalex.org/W2006638646","https://openalex.org/W2103646894","https://openalex.org/W4377009838","https://openalex.org/W2356099978","https://openalex.org/W2039981404","https://openalex.org/W2059650901"],"abstract_inverted_index":{"A":[0,41,66,120],"multiwavelet":[1],"is":[2,24,116],"typically":[3],"constructed":[4],"starting":[5,100],"from":[6,101],"a":[7,11,20,53,71,85,124,128,134],"vector-valued":[8],"function":[9,22,43],"satisfying":[10,91],"matrix":[12],"refinement":[13,39,54,72,89,144],"equation.":[14],"The":[15],"approximation":[16],"order":[17,31,62,96,151],"of":[18,30,61,95,110,150],"such":[19],"refinable":[21,42],"vector":[23,44],"related":[25],"to":[26],"the":[27,37,58,92,108,142,147],"sum":[28,59,93,148],"rules":[29,60,94,149],"[Formula:":[32,63,97,152],"see":[33,64,98,153],"text]":[34,65],"satisfied":[35],"by":[36,51],"corresponding":[38,143],"mask.":[40],"can":[45],"be":[46],"obtained":[47],"using":[48,113],"cascade":[49],"algorithm":[50],"constructing":[52,88],"mask":[55,73,145],"which":[56],"satisfies":[57,146],"standard":[67,102,114,125,136],"pair":[68,126,137],"associated":[69],"with":[70],"gives":[74],"information":[75],"about":[76],"its":[77],"spectral":[78],"properties.":[79],"In":[80],"this":[81,105],"paper,":[82],"we":[83],"present":[84],"procedure":[86],"for":[87],"masks":[90],"text],":[99],"pairs.":[103],"How":[104],"helps":[106],"in":[107],"construction":[109],"asymmetric":[111],"multiwavelets":[112],"pairs":[115],"illustrated":[117],"through":[118],"examples.":[119],"sufficient":[121,131],"condition":[122,132],"on":[123,133],"and":[127,130],"necessary":[129],"left":[135],"are":[138],"established":[139],"so":[140],"that":[141],"text].":[154]},"counts_by_year":[{"year":2024,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}