{"id":"https://openalex.org/W2903142184","doi":"https://doi.org/10.1109/lsp.2018.2883832","title":"Sampling and Reconstruction of Multiband Signals in Multiresolution Subspaces Associated with the Fractional Wavelet Transform","display_name":"Sampling and Reconstruction of Multiband Signals in Multiresolution Subspaces Associated with the Fractional Wavelet Transform","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2903142184","doi":"https://doi.org/10.1109/lsp.2018.2883832","mag":"2903142184"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2018.2883832","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2018.2883832","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","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/A5101964006","display_name":"Jiatong Wang","orcid":"https://orcid.org/0000-0002-9996-2212"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jiatong Wang","raw_affiliation_strings":["School of Information and Electronics, Beijing Institute of Technology, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Electronics, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023837881","display_name":"Yingtao Ding","orcid":"https://orcid.org/0000-0001-5944-3832"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yingtao Ding","raw_affiliation_strings":["School of Information and Electronics, Beijing Institute of Technology, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Electronics, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071957359","display_name":"Shiwei Ren","orcid":"https://orcid.org/0000-0003-3846-7573"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shiwei Ren","raw_affiliation_strings":["School of Information and Electronics, Beijing Institute of Technology, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Electronics, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082594912","display_name":"Weijiang Wang","orcid":"https://orcid.org/0000-0001-8950-9337"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weijiang Wang","raw_affiliation_strings":["School of Information and Electronics, Beijing Institute of Technology, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Electronics, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101964006"],"corresponding_institution_ids":["https://openalex.org/I125839683"],"apc_list":null,"apc_paid":null,"fwci":1.3724,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.80143427,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"1"},"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9991000294685364,"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":0.9958999752998352,"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/linear-subspace","display_name":"Linear subspace","score":0.7526137232780457},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.7151750326156616},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.6944182515144348},{"id":"https://openalex.org/keywords/multiresolution-analysis","display_name":"Multiresolution analysis","score":0.6031678318977356},{"id":"https://openalex.org/keywords/signal-reconstruction","display_name":"Signal reconstruction","score":0.5702077150344849},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.5637704133987427},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5449837446212769},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5181271433830261},{"id":"https://openalex.org/keywords/nonuniform-sampling","display_name":"Nonuniform sampling","score":0.4841175973415375},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.4774618446826935},{"id":"https://openalex.org/keywords/coherent-sampling","display_name":"Coherent sampling","score":0.4156394302845001},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3919251561164856},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.37956053018569946},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3176552653312683},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.25807756185531616},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.13814592361450195},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.12788516283035278},{"id":"https://openalex.org/keywords/quantization","display_name":"Quantization (signal processing)","score":0.05804508924484253},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05712580680847168}],"concepts":[{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.7526137232780457},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.7151750326156616},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.6944182515144348},{"id":"https://openalex.org/C121927907","wikidata":"https://www.wikidata.org/wiki/Q1952516","display_name":"Multiresolution analysis","level":5,"score":0.6031678318977356},{"id":"https://openalex.org/C70958404","wikidata":"https://www.wikidata.org/wiki/Q7512728","display_name":"Signal reconstruction","level":4,"score":0.5702077150344849},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.5637704133987427},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5449837446212769},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5181271433830261},{"id":"https://openalex.org/C20326153","wikidata":"https://www.wikidata.org/wiki/Q7049638","display_name":"Nonuniform sampling","level":3,"score":0.4841175973415375},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.4774618446826935},{"id":"https://openalex.org/C31942786","wikidata":"https://www.wikidata.org/wiki/Q679800","display_name":"Coherent sampling","level":4,"score":0.4156394302845001},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3919251561164856},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.37956053018569946},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3176552653312683},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.25807756185531616},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.13814592361450195},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.12788516283035278},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.05804508924484253},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05712580680847168},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lsp.2018.2883832","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2018.2883832","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.7200000286102295,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G5866456736","display_name":null,"funder_award_id":"61801024","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1495573900","https://openalex.org/W1967489373","https://openalex.org/W1982610373","https://openalex.org/W1999198554","https://openalex.org/W2000076756","https://openalex.org/W2019829283","https://openalex.org/W2050697133","https://openalex.org/W2058376449","https://openalex.org/W2066825663","https://openalex.org/W2082410475","https://openalex.org/W2085051012","https://openalex.org/W2088188946","https://openalex.org/W2089703492","https://openalex.org/W2109843992","https://openalex.org/W2110063971","https://openalex.org/W2114129195","https://openalex.org/W2114418710","https://openalex.org/W2122106254","https://openalex.org/W2136380959","https://openalex.org/W2145576488","https://openalex.org/W2170014524","https://openalex.org/W2170182872","https://openalex.org/W2170411504","https://openalex.org/W2199807983","https://openalex.org/W2253210145","https://openalex.org/W2344912857","https://openalex.org/W2378818378","https://openalex.org/W2471305137","https://openalex.org/W2493830717","https://openalex.org/W2508224038","https://openalex.org/W2522661861","https://openalex.org/W2546593015","https://openalex.org/W2560237888","https://openalex.org/W2652471884","https://openalex.org/W2760381174","https://openalex.org/W2769776396","https://openalex.org/W2782850731","https://openalex.org/W2799290844","https://openalex.org/W2804399173","https://openalex.org/W4252184452","https://openalex.org/W6680258840"],"related_works":["https://openalex.org/W1017090552","https://openalex.org/W4205743617","https://openalex.org/W3190154454","https://openalex.org/W2149302944","https://openalex.org/W2545081564","https://openalex.org/W1967423302","https://openalex.org/W2024107285","https://openalex.org/W1566012189","https://openalex.org/W2002495280","https://openalex.org/W2156307848"],"abstract_inverted_index":{"The":[0,76],"fractional":[1],"wavelet":[2,9],"transform":[3],"(FrWT),":[4],"which":[5],"generalizes":[6],"the":[7,35,53,63,74,102],"ordinary":[8],"transform,":[10],"is":[11],"a":[12],"very":[13],"promising":[14],"tool":[15],"for":[16,24],"signal":[17],"processing":[18],"and":[19,79],"analysis.":[20],"A":[21],"sampling":[22,54,64,78,87,90],"theory":[23,65],"signals":[25,36,44,68],"in":[26,69],"FrWT-based":[27],"multiresolution":[28,70],"subspaces":[29,71],"has":[30],"been":[31],"proposed":[32,83],"recently.":[33],"However,":[34],"to":[37,100],"be":[38,57],"sampled":[39],"are":[40,98],"regarded":[41],"as":[42],"lowpass":[43],"indiscriminately.":[45],"When":[46],"dealing":[47],"with":[48,73],"bandpass":[49],"or":[50],"multiband":[51,67],"signals,":[52],"rate":[55],"could":[56],"unnecessarily":[58],"high.":[59],"This":[60],"letter":[61],"investigates":[62],"of":[66],"associated":[72],"FrWT.":[75],"nonideal":[77],"reconstruction":[80,94],"scheme":[81],"we":[82],"can":[84],"guarantee":[85],"lower":[86],"rate,":[88],"fewer":[89],"points":[91],"but":[92],"subequal":[93],"performances.":[95],"Numerical":[96],"experiments":[97],"presented":[99],"validate":[101],"theoretical":[103],"derivations.":[104]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}