{"id":"https://openalex.org/W3181816037","doi":"https://doi.org/10.1142/s0219691321500302","title":"Wavelet packets associated with linear canonical transform on spectrum","display_name":"Wavelet packets associated with linear canonical transform on spectrum","publication_year":2021,"publication_date":"2021-07-01","ids":{"openalex":"https://openalex.org/W3181816037","doi":"https://doi.org/10.1142/s0219691321500302","mag":"3181816037"},"language":"en","primary_location":{"id":"doi:10.1142/s0219691321500302","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691321500302","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/A5043368707","display_name":"M. Younus Bhat","orcid":"https://orcid.org/0000-0002-3369-0883"},"institutions":[{"id":"https://openalex.org/I4264650","display_name":"Islamic University of Science and Technology","ror":"https://ror.org/02kdtt649","country_code":"IN","type":"education","lineage":["https://openalex.org/I4264650"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"M. Younus Bhat","raw_affiliation_strings":["Department of Mathematical Sciences, Islamic University of Science and Technology Awantipora, Pulwama, Jammu and Kashmir 192122, India"],"raw_orcid":"https://orcid.org/0000-0002-3369-0883","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Islamic University of Science and Technology Awantipora, Pulwama, Jammu and Kashmir 192122, India","institution_ids":["https://openalex.org/I4264650"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016457546","display_name":"Aamir H. Dar","orcid":"https://orcid.org/0000-0001-5124-2761"},"institutions":[{"id":"https://openalex.org/I4264650","display_name":"Islamic University of Science and Technology","ror":"https://ror.org/02kdtt649","country_code":"IN","type":"education","lineage":["https://openalex.org/I4264650"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Aamir H. Dar","raw_affiliation_strings":["Department of Mathematical Sciences, Islamic University of Science and Technology Awantipora, Pulwama, Jammu and Kashmir 192122, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Islamic University of Science and Technology Awantipora, Pulwama, Jammu and Kashmir 192122, India","institution_ids":["https://openalex.org/I4264650"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4264650"],"apc_list":null,"apc_paid":null,"fwci":4.2392,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.95148838,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"19","issue":"06","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9995999932289124,"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":0.9995999932289124,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9994000196456909,"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":0.9696999788284302,"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/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.651196300983429},{"id":"https://openalex.org/keywords/harmonic-wavelet-transform","display_name":"Harmonic wavelet transform","score":0.6444936990737915},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.597919762134552},{"id":"https://openalex.org/keywords/wavelet-packet-decomposition","display_name":"Wavelet packet decomposition","score":0.5694164037704468},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5500508546829224},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.5009009838104248},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.49437689781188965},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4224434494972229},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.37663859128952026},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3282414972782135},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24700576066970825},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.149171382188797}],"concepts":[{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.651196300983429},{"id":"https://openalex.org/C1109138","wikidata":"https://www.wikidata.org/wiki/Q3280930","display_name":"Harmonic wavelet transform","level":5,"score":0.6444936990737915},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.597919762134552},{"id":"https://openalex.org/C155777637","wikidata":"https://www.wikidata.org/wiki/Q2736187","display_name":"Wavelet packet decomposition","level":4,"score":0.5694164037704468},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5500508546829224},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.5009009838104248},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.49437689781188965},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4224434494972229},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.37663859128952026},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3282414972782135},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24700576066970825},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.149171382188797}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0219691321500302","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691321500302","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":13,"referenced_works":["https://openalex.org/W152049680","https://openalex.org/W2009667565","https://openalex.org/W2012081515","https://openalex.org/W2044516693","https://openalex.org/W2046830589","https://openalex.org/W2050697133","https://openalex.org/W2062308863","https://openalex.org/W2087276022","https://openalex.org/W2091249344","https://openalex.org/W2220298281","https://openalex.org/W2255767645","https://openalex.org/W2479221532","https://openalex.org/W2740990110"],"related_works":["https://openalex.org/W2085792030","https://openalex.org/W2156522110","https://openalex.org/W1918078477","https://openalex.org/W1843493412","https://openalex.org/W2087674235","https://openalex.org/W2543337593","https://openalex.org/W2355476683","https://openalex.org/W2764689179","https://openalex.org/W1555673121","https://openalex.org/W2038641509"],"abstract_inverted_index":{"The":[0],"linear":[1],"canonical":[2],"transform":[3],"(LCT)":[4],"provides":[5],"a":[6],"unified":[7],"treatment":[8],"of":[9,22,40,82],"the":[10,15,28],"generalized":[11],"Fourier":[12,29,32],"transforms":[13,26],"in":[14,43],"sense":[16],"that":[17],"it":[18],"is":[19],"an":[20],"embodiment":[21],"several":[23],"well-known":[24],"integral":[25],"including":[27],"transform,":[30,33],"fractional":[31],"Fresnel":[34],"transform.":[35],"Using":[36],"this":[37,44],"fascinating":[38],"property":[39],"LCT,":[41],"we,":[42],"paper,":[45],"constructed":[46],"associated":[47,61,72],"wavelet":[48,53],"packets.":[49],"First,":[50],"we":[51],"construct":[52],"packets":[54],"corresponding":[55,67],"to":[56,68],"nonuniform":[57,70],"Multiresolution":[58],"analysis":[59],"(MRA)":[60],"with":[62,73],"LCT":[63],"and":[64],"then":[65],"those":[66],"vector-valued":[69],"MRA":[71],"LCT.":[74,83],"We":[75],"investigate":[76],"their":[77],"various":[78],"properties":[79],"by":[80],"means":[81]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
