{"id":"https://openalex.org/W1964081796","doi":"https://doi.org/10.1142/s0219691303000098","title":"Shannon Wavelet Approach to Sub-Band Coding","display_name":"Shannon Wavelet Approach to Sub-Band Coding","publication_year":2003,"publication_date":"2003-06-01","ids":{"openalex":"https://openalex.org/W1964081796","doi":"https://doi.org/10.1142/s0219691303000098","mag":"1964081796"},"language":"en","primary_location":{"id":"doi:10.1142/s0219691303000098","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691303000098","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/A5103210224","display_name":"Charles K. Chui","orcid":"https://orcid.org/0000-0003-2482-8980"},"institutions":[{"id":"https://openalex.org/I208333798","display_name":"University of Missouri\u2013St. Louis","ror":"https://ror.org/037cnag11","country_code":"US","type":"education","lineage":["https://openalex.org/I208333798"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Charles K. Chui","raw_affiliation_strings":["Department of Mathematics & Computer Science, University of Missouri-St.Louis, St. Louis, MO 63121, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics & Computer Science, University of Missouri-St.Louis, St. Louis, MO 63121, USA","institution_ids":["https://openalex.org/I208333798"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100387970","display_name":"Jianzhong Wang","orcid":"https://orcid.org/0000-0001-9386-0242"},"institutions":[{"id":"https://openalex.org/I191429286","display_name":"Sam Houston State University","ror":"https://ror.org/00yh3cz06","country_code":"US","type":"education","lineage":["https://openalex.org/I191429286"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jianzhong Wang","raw_affiliation_strings":["Department of Mathematics and Statistics, Sam Houston State University, Huntsville, TX 77341, USA","Department of Mathematics and Statistics , Sam Houston State University , Huntsville , TX , 77341 , USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Sam Houston State University, Huntsville, TX 77341, USA","institution_ids":["https://openalex.org/I191429286"]},{"raw_affiliation_string":"Department of Mathematics and Statistics , Sam Houston State University , Huntsville , TX , 77341 , USA","institution_ids":["https://openalex.org/I191429286"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103210224"],"corresponding_institution_ids":["https://openalex.org/I208333798"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.10531793,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"01","issue":"02","first_page":"233","last_page":"242"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10901","display_name":"Advanced Data Compression Techniques","score":0.984499990940094,"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"}},"topics":[{"id":"https://openalex.org/T10901","display_name":"Advanced Data Compression Techniques","score":0.984499990940094,"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/T10860","display_name":"Speech and Audio Processing","score":0.9706000089645386,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9506999850273132,"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/wavelet","display_name":"Wavelet","score":0.701705276966095},{"id":"https://openalex.org/keywords/bandlimiting","display_name":"Bandlimiting","score":0.6709898710250854},{"id":"https://openalex.org/keywords/nyquist\u2013shannon-sampling-theorem","display_name":"Nyquist\u2013Shannon sampling theorem","score":0.6409335136413574},{"id":"https://openalex.org/keywords/wavelet-packet-decomposition","display_name":"Wavelet packet decomposition","score":0.6402754783630371},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5695849657058716},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.516470193862915},{"id":"https://openalex.org/keywords/nyquist-rate","display_name":"Nyquist rate","score":0.5008039474487305},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4671947956085205},{"id":"https://openalex.org/keywords/frequency-band","display_name":"Frequency band","score":0.4538995623588562},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.432463139295578},{"id":"https://openalex.org/keywords/sub-band-coding","display_name":"Sub-band coding","score":0.42986780405044556},{"id":"https://openalex.org/keywords/speech-recognition","display_name":"Speech recognition","score":0.3783532381057739},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.3670870065689087},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.27072906494140625},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.22624057531356812},{"id":"https://openalex.org/keywords/speech-coding","display_name":"Speech coding","score":0.18928402662277222},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17191413044929504},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.15020915865898132},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.12664595246315002},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09407055377960205},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06964111328125}],"concepts":[{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.701705276966095},{"id":"https://openalex.org/C129997835","wikidata":"https://www.wikidata.org/wiki/Q806263","display_name":"Bandlimiting","level":3,"score":0.6709898710250854},{"id":"https://openalex.org/C288623","wikidata":"https://www.wikidata.org/wiki/Q679800","display_name":"Nyquist\u2013Shannon sampling theorem","level":2,"score":0.6409335136413574},{"id":"https://openalex.org/C155777637","wikidata":"https://www.wikidata.org/wiki/Q2736187","display_name":"Wavelet packet decomposition","level":4,"score":0.6402754783630371},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5695849657058716},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.516470193862915},{"id":"https://openalex.org/C65914096","wikidata":"https://www.wikidata.org/wiki/Q6273772","display_name":"Nyquist rate","level":4,"score":0.5008039474487305},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4671947956085205},{"id":"https://openalex.org/C2778116611","wikidata":"https://www.wikidata.org/wiki/Q25110567","display_name":"Frequency band","level":3,"score":0.4538995623588562},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.432463139295578},{"id":"https://openalex.org/C98526533","wikidata":"https://www.wikidata.org/wiki/Q1691938","display_name":"Sub-band coding","level":3,"score":0.42986780405044556},{"id":"https://openalex.org/C28490314","wikidata":"https://www.wikidata.org/wiki/Q189436","display_name":"Speech recognition","level":1,"score":0.3783532381057739},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.3670870065689087},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.27072906494140625},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.22624057531356812},{"id":"https://openalex.org/C13895895","wikidata":"https://www.wikidata.org/wiki/Q3270773","display_name":"Speech coding","level":2,"score":0.18928402662277222},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17191413044929504},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.15020915865898132},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.12664595246315002},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09407055377960205},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06964111328125},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0219691303000098","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691303000098","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.323.6762","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.323.6762","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.shsu.edu/~mth_jxw/pdfflies/CWshannon.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320875","display_name":"Deutscher Akademischer Austauschdienst","ror":"https://ror.org/039djdh30"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1489213177","https://openalex.org/W1546878013","https://openalex.org/W1575723423","https://openalex.org/W1706488930","https://openalex.org/W1980149518","https://openalex.org/W2058097301","https://openalex.org/W2084052726","https://openalex.org/W2102048957","https://openalex.org/W2106163608","https://openalex.org/W4249393990","https://openalex.org/W4255137765"],"related_works":["https://openalex.org/W1964786086","https://openalex.org/W2368043784","https://openalex.org/W2125529598","https://openalex.org/W2576230203","https://openalex.org/W3015557210","https://openalex.org/W2170014524","https://openalex.org/W2153002160","https://openalex.org/W2989358680","https://openalex.org/W3099366122","https://openalex.org/W2124124187"],"abstract_inverted_index":{"It":[0],"is":[1,31,57,103],"well":[2],"known":[3],"that":[4,60,69],"the":[5,25,35,51,74,111,124,127,134],"Shannon":[6,135],"Sampling":[7],"Theorem":[8],"allows":[9],"us":[10],"to":[11,28,41,104],"fully":[12,72],"recover":[13],"a":[14,106],"continuous-time":[15,62],"bandlimited":[16,43],"signal":[17,125],"from":[18],"its":[19],"digital":[20,79],"samples,":[21],"as":[22,24,65],"long":[23],"sampling":[26],"rate":[27],"be":[29],"chosen":[30],"not":[32,49,71],"smaller":[33],"than":[34],"Nyquist":[36],"frequency.":[37],"This":[38],"theory":[39,108],"applies":[40],"all":[42],"signals,":[44,63],"which":[45],"may":[46,48],"or":[47],"occupy":[50],"entire":[52,75],"frequency":[53,76],"band.":[54],"Hence,":[55],"it":[56],"intuitively":[58],"convincing":[59],"for":[61,83,94,109],"such":[64],"those":[66],"in":[67,89,139],"speech,":[68],"do":[70],"utilize":[73],"intervals,":[77],"less":[78],"samples":[80],"are":[81,92],"required":[82],"their":[84],"full":[85],"recovery.":[86],"Current":[87],"techniques":[88],"sub-band":[90,116,129],"coding":[91,117,130],"used":[93],"achieving":[95],"this":[96,101,115,140],"goal.":[97],"The":[98],"objective":[99],"of":[100,114,123],"paper":[102],"present":[105],"wavelet":[107,120,136],"establishing":[110],"mathematical":[112],"foundation":[113],"approach.":[118],"A":[119],"packet":[121],"decomposition":[122],"provides":[126],"optimal":[128],"bit-rate":[131],"by":[132],"using":[133],"library":[137],"introduced":[138],"paper.":[141]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}