{"id":"https://openalex.org/W2107164950","doi":"https://doi.org/10.1109/tsp.2009.2025095","title":"Approximate Signal Reconstruction Using Nonuniform Samples in Fractional Fourier and Linear Canonical Transform Domains","display_name":"Approximate Signal Reconstruction Using Nonuniform Samples in Fractional Fourier and Linear Canonical Transform Domains","publication_year":2009,"publication_date":"2009-06-10","ids":{"openalex":"https://openalex.org/W2107164950","doi":"https://doi.org/10.1109/tsp.2009.2025095","mag":"2107164950"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2009.2025095","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2009.2025095","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal 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/A5087395756","display_name":"Kamalesh Kumar Sharma","orcid":"https://orcid.org/0000-0001-7924-7468"},"institutions":[{"id":"https://openalex.org/I83205935","display_name":"Malaviya National Institute of Technology Jaipur","ror":"https://ror.org/0077k1j32","country_code":"IN","type":"education","lineage":["https://openalex.org/I83205935"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"K.K. Sharma","raw_affiliation_strings":["Department of Electronics and communication Engineering, Malaviya National Institute of Technology, Jaipur, India","Dept. of Electron. & Commun. Eng., Malaviya Nat. Inst. of Technol., Jaipur, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics and communication Engineering, Malaviya National Institute of Technology, Jaipur, India","institution_ids":["https://openalex.org/I83205935"]},{"raw_affiliation_string":"Dept. of Electron. & Commun. Eng., Malaviya Nat. Inst. of Technol., Jaipur, India","institution_ids":["https://openalex.org/I83205935"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5087395756"],"corresponding_institution_ids":["https://openalex.org/I83205935"],"apc_list":null,"apc_paid":null,"fwci":3.1876,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.91588852,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"57","issue":"11","first_page":"4573","last_page":"4578"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9972000122070312,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9965999722480774,"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/truncation","display_name":"Truncation (statistics)","score":0.6587219834327698},{"id":"https://openalex.org/keywords/hermite-polynomials","display_name":"Hermite polynomials","score":0.6538317799568176},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.6461691856384277},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.6426900625228882},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6044871807098389},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.5334449410438538},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.506304144859314},{"id":"https://openalex.org/keywords/truncation-error","display_name":"Truncation error","score":0.5033747553825378},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4782213866710663},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4312005341053009},{"id":"https://openalex.org/keywords/multidimensional-signal-processing","display_name":"Multidimensional signal processing","score":0.42460909485816956},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.41654884815216064},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.3793986141681671},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33732226490974426},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3350822329521179},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23294037580490112},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.1371307671070099},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1283000409603119}],"concepts":[{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.6587219834327698},{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.6538317799568176},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.6461691856384277},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.6426900625228882},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6044871807098389},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.5334449410438538},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.506304144859314},{"id":"https://openalex.org/C104942944","wikidata":"https://www.wikidata.org/wiki/Q3434686","display_name":"Truncation error","level":2,"score":0.5033747553825378},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4782213866710663},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4312005341053009},{"id":"https://openalex.org/C501101116","wikidata":"https://www.wikidata.org/wiki/Q18378116","display_name":"Multidimensional signal processing","level":4,"score":0.42460909485816956},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.41654884815216064},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.3793986141681671},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33732226490974426},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3350822329521179},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23294037580490112},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.1371307671070099},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1283000409603119},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","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},{"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2009.2025095","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2009.2025095","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal 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":15,"referenced_works":["https://openalex.org/W606473257","https://openalex.org/W607933207","https://openalex.org/W1974020183","https://openalex.org/W2000076756","https://openalex.org/W2004943278","https://openalex.org/W2008169417","https://openalex.org/W2032168658","https://openalex.org/W2046100993","https://openalex.org/W2123567770","https://openalex.org/W2149736621","https://openalex.org/W2155754499","https://openalex.org/W2158084533","https://openalex.org/W2169175428","https://openalex.org/W2319068556","https://openalex.org/W4242565096"],"related_works":["https://openalex.org/W2040666836","https://openalex.org/W2238041693","https://openalex.org/W2112774109","https://openalex.org/W125347959","https://openalex.org/W1990789772","https://openalex.org/W138907054","https://openalex.org/W2536422707","https://openalex.org/W24145419","https://openalex.org/W2044869171","https://openalex.org/W2036329708"],"abstract_inverted_index":{"Approximate":[0],"signal":[1,41],"reconstruction":[2],"formulas":[3],"for":[4,65,96],"the":[5,17,33,40,50,54,57,66,75,88,99],"class":[6,67],"of":[7,32,36,39,56,68,77,79,98],"<i":[8],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[9,12],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">L</i>":[10],"<sup":[11],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sup>":[13],"(R)":[14],"signals":[15,69],"in":[16,42,74,87],"fractional":[18,43],"Fourier":[19,44],"and":[20],"linear":[21],"canonical":[22],"transform":[23],"(LCT)":[24],"domains":[25,47],"are":[26,91,102],"presented.":[27,104],"The":[28,60,83],"results":[29,61,90,95],"make":[30],"use":[31],"finite":[34,81],"number":[35],"nonuniform":[37],"samples":[38],"or":[45],"LCT":[46],"taken":[48],"at":[49],"positions":[51],"determined":[52],"by":[53],"zeros":[55],"Hermite":[58],"polynomials.":[59],"provide":[62],"exact":[63],"representation":[64],"that":[70],"can":[71],"be":[72],"expressed":[73],"form":[76],"polynomials":[78],"some":[80,97],"order.":[82],"truncation":[84],"error":[85],"bounds":[86],"presented":[89],"also":[92,103],"discussed.":[93],"Simulation":[94],"proposed":[100],"theorems":[101]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}