{"id":"https://openalex.org/W2123706045","doi":"https://doi.org/10.1109/isita.2010.5649702","title":"The optimum approximate reconstruction of a signal from the discrete sample values of the prescribed multiple waves","display_name":"The optimum approximate reconstruction of a signal from the discrete sample values of the prescribed multiple waves","publication_year":2010,"publication_date":"2010-10-01","ids":{"openalex":"https://openalex.org/W2123706045","doi":"https://doi.org/10.1109/isita.2010.5649702","mag":"2123706045"},"language":"en","primary_location":{"id":"doi:10.1109/isita.2010.5649702","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isita.2010.5649702","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 International Symposium On Information Theory &amp; Its Applications","raw_type":"proceedings-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/A5103290287","display_name":"Yuichi Kida","orcid":null},"institutions":[{"id":"https://openalex.org/I30181195","display_name":"Ohu University","ror":"https://ror.org/01fe6f215","country_code":"JP","type":"education","lineage":["https://openalex.org/I30181195"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Yuichi Kida","raw_affiliation_strings":["School of Pharmaceutical Sciences, Ohu University, Fukushima, Japan","The School of Pharmaceutical Sciences, Ohu University, Koriyama-shi, Fukushima-ken, 963-8611, Japan"],"affiliations":[{"raw_affiliation_string":"School of Pharmaceutical Sciences, Ohu University, Fukushima, Japan","institution_ids":["https://openalex.org/I30181195"]},{"raw_affiliation_string":"The School of Pharmaceutical Sciences, Ohu University, Koriyama-shi, Fukushima-ken, 963-8611, Japan","institution_ids":["https://openalex.org/I30181195"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111065230","display_name":"Takuro Kida","orcid":null},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Takuro Kida","raw_affiliation_strings":["Emeritus, Tokyo Institute of Technology, Fukushima, Japan","Professor Emeritus, Tokyo Institute of Technology, Koriyama-shi, Fukushima-ken, 963-0204, Japan"],"affiliations":[{"raw_affiliation_string":"Emeritus, Tokyo Institute of Technology, Fukushima, Japan","institution_ids":["https://openalex.org/I114531698"]},{"raw_affiliation_string":"Professor Emeritus, Tokyo Institute of Technology, Koriyama-shi, Fukushima-ken, 963-0204, Japan","institution_ids":["https://openalex.org/I114531698"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103290287"],"corresponding_institution_ids":["https://openalex.org/I30181195"],"apc_list":null,"apc_paid":null,"fwci":1.2749,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.82332701,"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":"621","last_page":"626"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9987000226974487,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9987000226974487,"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":0.9980000257492065,"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/T10727","display_name":"Ultrasound Imaging and Elastography","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.7358370423316956},{"id":"https://openalex.org/keywords/approximation-error","display_name":"Approximation error","score":0.6941573023796082},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5897733569145203},{"id":"https://openalex.org/keywords/approximation-theory","display_name":"Approximation theory","score":0.5444132685661316},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.539853036403656},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.5163111090660095},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.48845043778419495},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4763203561306},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.45377853512763977},{"id":"https://openalex.org/keywords/linear-approximation","display_name":"Linear approximation","score":0.4480297863483429},{"id":"https://openalex.org/keywords/minimax-approximation-algorithm","display_name":"Minimax approximation algorithm","score":0.4472912549972534},{"id":"https://openalex.org/keywords/signal-reconstruction","display_name":"Signal reconstruction","score":0.441158264875412},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4246561527252197},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39995262026786804},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38234052062034607},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36265748739242554},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.35766899585723877},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23531684279441833},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.13369154930114746},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.08249419927597046}],"concepts":[{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7358370423316956},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.6941573023796082},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5897733569145203},{"id":"https://openalex.org/C145242015","wikidata":"https://www.wikidata.org/wiki/Q774123","display_name":"Approximation theory","level":2,"score":0.5444132685661316},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.539853036403656},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.5163111090660095},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.48845043778419495},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4763203561306},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.45377853512763977},{"id":"https://openalex.org/C160824197","wikidata":"https://www.wikidata.org/wiki/Q2071054","display_name":"Linear approximation","level":3,"score":0.4480297863483429},{"id":"https://openalex.org/C117148685","wikidata":"https://www.wikidata.org/wiki/Q6865376","display_name":"Minimax approximation algorithm","level":2,"score":0.4472912549972534},{"id":"https://openalex.org/C70958404","wikidata":"https://www.wikidata.org/wiki/Q7512728","display_name":"Signal reconstruction","level":4,"score":0.441158264875412},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4246561527252197},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39995262026786804},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38234052062034607},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36265748739242554},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.35766899585723877},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23531684279441833},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.13369154930114746},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.08249419927597046},{"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/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","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/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isita.2010.5649702","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isita.2010.5649702","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 International Symposium On Information Theory &amp; Its Applications","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W233593304","https://openalex.org/W1969304434","https://openalex.org/W2142978130","https://openalex.org/W2150946535","https://openalex.org/W2307583892","https://openalex.org/W2756612585","https://openalex.org/W4300920051","https://openalex.org/W6609112683","https://openalex.org/W6681027852","https://openalex.org/W6698296721"],"related_works":["https://openalex.org/W2737349826","https://openalex.org/W1970691912","https://openalex.org/W2087686193","https://openalex.org/W2314644317","https://openalex.org/W1859974437","https://openalex.org/W189995875","https://openalex.org/W2068084037","https://openalex.org/W2768028474","https://openalex.org/W2377157165","https://openalex.org/W3205310332"],"abstract_inverted_index":{"For":[0],"a":[1,13,18,38,57,98,154],"set":[2,93],"of":[3,12,17,21,25,29,51,59,81,94,128,142],"signals":[4,95],"that":[5,67,119],"each":[6],"signal":[7],"is":[8,41,74,117],"defined":[9],"by":[10,96,139],"means":[11],"certain":[14,99],"spectrum-vector":[15],"composed":[16],"finite":[19],"number":[20],"extended":[22,34],"Fourier":[23],"transforms":[24],"component":[26],"waves,":[27],"one":[28],"the":[30,49,52,60,65,68,72,79,87,103,106,110,120,133,164],"authors":[31],"presents":[32],"an":[33,151],"optimum":[35,88],"approximation":[36,40,73,90,123,129],"but":[37,76],"running":[39,89,122],"not":[42],"treated.":[43],"In":[44],"this":[45,92],"paper,":[46],"we":[47,85,149],"show":[48],"outline":[50],"result":[53],"given":[54],"in":[55,71,105,112],"as":[56],"premise":[58],"arguments,":[61],"firstly.":[62],"Then,":[63],"under":[64],"conditions":[66],"required":[69],"time-interval":[70,108],"wide":[75,107],"limited":[77],"and":[78,109,132],"measures":[80,127],"error":[82,104,111,130],"are":[83,137],"continuous,":[84],"present":[86,150],"for":[91,153],"using":[97],"one-to-one":[100],"correspondence":[101],"between":[102],"its":[113],"small":[114],"segment.":[115],"It":[116],"shown":[118],"presented":[121],"minimizes":[124],"various":[125],"worst-case":[126],"simultaneously":[131],"corresponding":[134],"interpolation":[135],"functions":[136],"obtained":[138],"solving":[140],"sets":[141],"linear":[143],"equations":[144],"having":[145,158],"constant":[146],"coefficient-matrices.":[147],"Finally,":[148],"example":[152],"multi-input":[155],"one-output":[156],"system":[157],"separate":[159],"pass":[160],"band":[161],"to":[162],"eliminate":[163],"prescribed":[165],"noise":[166],"band.":[167]},"counts_by_year":[{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
