{"id":"https://openalex.org/W4387730701","doi":"https://doi.org/10.1002/mma.9723","title":"N\u2010dimensional wave packet transform and associated uncertainty principles in the free metaplectic transform domain","display_name":"N\u2010dimensional wave packet transform and associated uncertainty principles in the free metaplectic transform domain","publication_year":2023,"publication_date":"2023-10-17","ids":{"openalex":"https://openalex.org/W4387730701","doi":"https://doi.org/10.1002/mma.9723"},"language":"en","primary_location":{"id":"doi:10.1002/mma.9723","doi":"https://doi.org/10.1002/mma.9723","is_oa":false,"landing_page_url":"https://doi.org/10.1002/mma.9723","pdf_url":null,"source":{"id":"https://openalex.org/S89452420","display_name":"Mathematical Methods in the Applied Sciences","issn_l":"0170-4214","issn":["0170-4214","1099-1476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Methods in the Applied Sciences","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/A5016457546","display_name":"Aamir H. Dar","orcid":"https://orcid.org/0000-0001-5124-2761","observed_orcids":["https://orcid.org/0000-0001-5124-2761"]},"institutions":[{"id":"https://openalex.org/I4405256391","display_name":"Islamic University of Science and Technology, Kashmir","ror":"https://ror.org/043jp9q35","country_code":"IN","type":"education","lineage":["https://openalex.org/I4405256391"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Aamir Hamid Dar","raw_affiliation_strings":["Department of Mathematical Sciences, Islamic University of Science and Technology, Kashmir, India"],"raw_orcid":"https://orcid.org/0000-0001-5124-2761","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Islamic University of Science and Technology, Kashmir, India","institution_ids":["https://openalex.org/I4405256391"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043368707","display_name":"M. Younus Bhat","orcid":"https://orcid.org/0000-0002-3369-0883","observed_orcids":["https://orcid.org/0000-0002-3369-0883"]},"institutions":[{"id":"https://openalex.org/I4405256391","display_name":"Islamic University of Science and Technology, Kashmir","ror":"https://ror.org/043jp9q35","country_code":"IN","type":"education","lineage":["https://openalex.org/I4405256391"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Mohammad Younus Bhat","raw_affiliation_strings":["Department of Mathematical Sciences, Islamic University of Science and Technology, Kashmir, India"],"raw_orcid":"https://orcid.org/0000-0002-3369-0883","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Islamic University of Science and Technology, Kashmir, India","institution_ids":["https://openalex.org/I4405256391"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5043368707"],"corresponding_institution_ids":["https://openalex.org/I4405256391"],"apc_list":{"value":4530,"currency":"USD","value_usd":4530},"apc_paid":null,"fwci":2.4036,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.89393682,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"47","issue":"17","first_page":"13199","last_page":"13220"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":1.0,"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":1.0,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.0,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/wave-packet-transform","display_name":"wave packet transform","score":0.906000018119812},{"id":"https://openalex.org/keywords/linear-canonical-transform","display_name":"linear canonical transform","score":0.7120000123977661},{"id":"https://openalex.org/keywords/heisenberg-uncertainty-principle","display_name":"uncertainty principle","score":0.7110000252723694},{"id":"https://openalex.org/keywords/time-frequency-representation","display_name":"time-frequency representation","score":0.6930000185966492},{"id":"https://openalex.org/keywords/reproducing-kernels","display_name":"reproducing kernels","score":0.9869999885559082},{"id":"https://openalex.org/keywords/heisenberg-uncertainty-inequality","display_name":"Heisenberg uncertainty inequality","score":0.7649999856948853},{"id":"https://openalex.org/keywords/reconstruction-formula","display_name":"reconstruction formula","score":0.5360000133514404}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8105351328849792},{"id":"https://openalex.org/C181543814","wikidata":"https://www.wikidata.org/wiki/Q44746","display_name":"Uncertainty principle","level":3,"score":0.6369146108627319},{"id":"https://openalex.org/C99234102","wikidata":"https://www.wikidata.org/wiki/Q7395403","display_name":"S transform","level":5,"score":0.48871564865112305},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.4804917573928833},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.45729315280914307},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45604944229125977},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4421504735946655},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4180350601673126},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3689662218093872},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33840885758399963},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.2940407395362854},{"id":"https://openalex.org/C155777637","wikidata":"https://www.wikidata.org/wiki/Q2736187","display_name":"Wavelet packet decomposition","level":4,"score":0.23533055186271667},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.1638965904712677},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1297840178012848},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09669545292854309},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.07687190175056458},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.07354605197906494},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.06513947248458862},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/mma.9723","doi":"https://doi.org/10.1002/mma.9723","is_oa":false,"landing_page_url":"https://doi.org/10.1002/mma.9723","pdf_url":null,"source":{"id":"https://openalex.org/S89452420","display_name":"Mathematical Methods in the Applied Sciences","issn_l":"0170-4214","issn":["0170-4214","1099-1476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Methods in the Applied Sciences","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W273698207","https://openalex.org/W998579889","https://openalex.org/W1965595165","https://openalex.org/W1993240563","https://openalex.org/W2015064056","https://openalex.org/W2021639831","https://openalex.org/W2044516693","https://openalex.org/W2083306584","https://openalex.org/W2296798785","https://openalex.org/W2508224038","https://openalex.org/W2567165719","https://openalex.org/W2805957196","https://openalex.org/W2951849480","https://openalex.org/W2988413580","https://openalex.org/W3090859316","https://openalex.org/W3118125217","https://openalex.org/W3127982291","https://openalex.org/W3181816037","https://openalex.org/W3184613521","https://openalex.org/W3200022538","https://openalex.org/W3205338827","https://openalex.org/W3210661848","https://openalex.org/W4220706676","https://openalex.org/W4224298499","https://openalex.org/W4224875173","https://openalex.org/W4225146325","https://openalex.org/W4286267963","https://openalex.org/W4293191855","https://openalex.org/W4298346532","https://openalex.org/W4308793352","https://openalex.org/W4313427859","https://openalex.org/W4378976687","https://openalex.org/W4393178702"],"related_works":["https://openalex.org/W4220706676","https://openalex.org/W4224875173","https://openalex.org/W4410774625","https://openalex.org/W4387985149","https://openalex.org/W7160642313","https://openalex.org/W3090859316","https://openalex.org/W4402787696","https://openalex.org/W4225684407","https://openalex.org/W3210661848","https://openalex.org/W4403906500"],"abstract_inverted_index":{"The":[0,63,93],"free":[1,43,60],"metaplectic":[2,44,61],"transformation":[3],"(FMT)":[4],"is":[5,13,28,87],"an":[6,31],"\u2010dimensional":[7],"linear":[8],"canonical":[9],"transform.":[10,145],"This":[11],"transform":[12,47,72,86],"much":[14],"useful,":[15],"especially":[16],"in":[17,49,74],"multidimensional":[18],"signal":[19],"processing":[20],"and":[21,75,112,138],"applications.":[22],"In":[23],"this":[24],"paper,":[25],"our":[26],"aim":[27],"to":[29],"achieve":[30],"efficient":[32],"time\u2010frequency":[33],"representation":[34],"of":[35,68,83,99,102,120],"higher\u2010dimensional":[36],"nonstationary":[37],"signals":[38],"by":[39],"introducing":[40],"the":[41,53,59,66,81,84,97,103,113,118,121,143],"novel":[42,104],"wave":[45,70],"packet":[46,71],"(FM\u2010WPT)":[48],",":[50],"based":[51],"on":[52],"elegant":[54],"convolution":[55],"structure":[56],"associated":[57],"with":[58],"transforms.":[62],"FM\u2010WPT":[64],"preserves":[65],"properties":[67,101],"classical":[69],"(WPT)":[73],"has":[76],"better":[77],"mathematical":[78],"properties.":[79],"Further,":[80],"validity":[82],"proposed":[85,144],"demonstrated":[88],"via":[89],"a":[90],"lucid":[91],"example.":[92],"preliminary":[94],"analysis":[95],"encompasses":[96],"derivation":[98],"fundamental":[100],"FM\u2010WPT,":[105],"including":[106,128],"boundedness,":[107],"reconstruction":[108],"formula,":[109,111],"Moyal's":[110],"reproducing":[114],"kernel.":[115],"To":[116],"extend":[117],"scope":[119],"study,":[122],"we":[123],"formulate":[124],"several":[125],"uncertainty":[126,136,140],"inequalities,":[127],"Lieb's":[129],"inequality,":[130,132,134,137],"Pitt's":[131],"logarithmic":[133],"Heisenberg's":[135],"Nazarov's":[139],"inequality":[141],"for":[142]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2023-10-19T00:00:00"}