{"id":"https://openalex.org/W2147052158","doi":"https://doi.org/10.1109/tsp.2008.2008548","title":"High-Rate Interpolation of Random Signals From Nonideal Samples","display_name":"High-Rate Interpolation of Random Signals From Nonideal Samples","publication_year":2008,"publication_date":"2008-11-06","ids":{"openalex":"https://openalex.org/W2147052158","doi":"https://doi.org/10.1109/tsp.2008.2008548","mag":"2147052158"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2008.2008548","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2008.2008548","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/A5058178036","display_name":"Tomer Michaeli","orcid":"https://orcid.org/0000-0003-0525-8054"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"T. Michaeli","raw_affiliation_strings":["Department of Electrical Engineering, Technion-Israel Institute of Technology, Haifa, Israel","Dept. of Electr. Eng., Tech- nion-Israel Inst. of Technol., Haifa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Technion-Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Tech- nion-Israel Inst. of Technol., Haifa","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005913897","display_name":"Yonina C. Eldar","orcid":"https://orcid.org/0000-0003-4358-5304"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Y.C. Eldar","raw_affiliation_strings":["Department of Electrical Engineering, Technion-Israel Institute of Technology, Haifa, Israel","Dept. of Electr. Eng., Tech- nion-Israel Inst. of Technol., Haifa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Technion-Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Tech- nion-Israel Inst. of Technol., Haifa","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I174306211"],"apc_list":null,"apc_paid":null,"fwci":1.7528,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.86750239,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"57","issue":"3","first_page":"977","last_page":"992"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9998000264167786,"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":0.9998000264167786,"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/T10662","display_name":"Ultrasonics and Acoustic Wave Propagation","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.7750658988952637},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.71726393699646},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.6552214026451111},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.6361570954322815},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.4567060172557831},{"id":"https://openalex.org/keywords/multivariate-interpolation","display_name":"Multivariate interpolation","score":0.4539186954498291},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45126959681510925},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.418316513299942},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.2951810956001282},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.29028958082199097},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2136073112487793},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15166446566581726},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11790376901626587},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.09507220983505249},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.07634919881820679},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.06234702467918396}],"concepts":[{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7750658988952637},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.71726393699646},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.6552214026451111},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.6361570954322815},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.4567060172557831},{"id":"https://openalex.org/C203332170","wikidata":"https://www.wikidata.org/wiki/Q6334079","display_name":"Multivariate interpolation","level":3,"score":0.4539186954498291},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45126959681510925},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.418316513299942},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.2951810956001282},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.29028958082199097},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2136073112487793},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15166446566581726},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11790376901626587},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.09507220983505249},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.07634919881820679},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.06234702467918396},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2008.2008548","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2008.2008548","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W24306023","https://openalex.org/W1506809288","https://openalex.org/W1510355813","https://openalex.org/W1969667406","https://openalex.org/W2017182152","https://openalex.org/W2019954246","https://openalex.org/W2038818581","https://openalex.org/W2048177266","https://openalex.org/W2088188946","https://openalex.org/W2098246830","https://openalex.org/W2112866668","https://openalex.org/W2129299867","https://openalex.org/W2139717162","https://openalex.org/W2143779229","https://openalex.org/W2147722152","https://openalex.org/W2163889321","https://openalex.org/W2765691705","https://openalex.org/W3002732046","https://openalex.org/W4232278572","https://openalex.org/W4285719527","https://openalex.org/W6601001297"],"related_works":["https://openalex.org/W2045588195","https://openalex.org/W2362697663","https://openalex.org/W2291214609","https://openalex.org/W2381198209","https://openalex.org/W2989592345","https://openalex.org/W3180612984","https://openalex.org/W3183609115","https://openalex.org/W2985206855","https://openalex.org/W2363866393","https://openalex.org/W2387056800"],"abstract_inverted_index":{"We":[0],"address":[1],"the":[2,24,43,49,58,65,68,79,83,90,100,106,119,125,131],"problem":[3],"of":[4,11,67,89,105],"reconstructing":[5],"a":[6,16,31,36,103,138],"random":[7],"signal":[8,81,92],"from":[9],"samples":[10,59],"its":[12,94],"filtered":[13],"version":[14],"using":[15,30],"given":[17,93,126],"interpolation":[18,39,44,69,107],"kernel.":[19,128],"In":[20],"order":[21],"to":[22,61,113,137],"reduce":[23],"mean":[25],"squared":[26],"error":[27],"(MSE)":[28],"when":[29],"nonoptimal":[32,127],"kernel,":[33],"we":[34],"propose":[35],"high":[37],"rate":[38,108],"scheme":[40],"in":[41,133],"which":[42,111],"grid":[45],"is":[46,71,75,82,109,122],"finer":[47],"than":[48],"sampling":[50,142],"grid.":[51],"A":[52],"digital":[53],"correction":[54],"system":[55,74,139],"that":[56,78,118],"processes":[57],"prior":[60],"their":[62],"multiplication":[63],"with":[64,124,135,140],"shifts":[66],"kernel":[70],"developed.":[72],"This":[73],"constructed":[76],"such":[77,117],"reconstructed":[80],"linear":[84],"minimum":[85],"MSE":[86,101,121,134],"(LMMSE)":[87],"estimate":[88],"original":[91],"samples.":[95],"An":[96],"analytic":[97],"expression":[98],"for":[99],"as":[102],"function":[104],"provided,":[110],"leads":[112],"an":[114],"explicit":[115],"condition":[116],"optimal":[120],"achieved":[123],"Simulations":[129],"confirm":[130],"reduction":[132],"respect":[136],"equal":[141],"and":[143],"reconstruction":[144],"rates.":[145]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}