{"id":"https://openalex.org/W2038583166","doi":"https://doi.org/10.1109/tit.2012.2193871","title":"Discrete Sampling and Interpolation: Universal Sampling Sets for Discrete Bandlimited Spaces","display_name":"Discrete Sampling and Interpolation: Universal Sampling Sets for Discrete Bandlimited Spaces","publication_year":2012,"publication_date":"2012-04-09","ids":{"openalex":"https://openalex.org/W2038583166","doi":"https://doi.org/10.1109/tit.2012.2193871","mag":"2038583166"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2012.2193871","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2012.2193871","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1204.0992","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081621247","display_name":"Brad Osgood","orcid":"https://orcid.org/0000-0001-9186-0732"},"institutions":[{"id":"https://openalex.org/I4210140678","display_name":"Information Systems Laboratories (United States)","ror":"https://ror.org/049k0qb06","country_code":"US","type":"company","lineage":["https://openalex.org/I4210140678"]},{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Brad Osgood","raw_affiliation_strings":["Information Systems Laboratory, University of Stanford, CA, USA","Information Systems Lab, Stanford University, Stanford, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Information Systems Laboratory, University of Stanford, CA, USA","institution_ids":["https://openalex.org/I4210140678"]},{"raw_affiliation_string":"Information Systems Lab, Stanford University, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071798008","display_name":"Aditya Siripuram","orcid":"https://orcid.org/0000-0002-8210-7113"},"institutions":[{"id":"https://openalex.org/I4210140678","display_name":"Information Systems Laboratories (United States)","ror":"https://ror.org/049k0qb06","country_code":"US","type":"company","lineage":["https://openalex.org/I4210140678"]},{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Aditya Siripuram","raw_affiliation_strings":["Information Systems Laboratory, University of Stanford, CA, USA","Information Systems Lab, Stanford University, Stanford, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Information Systems Laboratory, University of Stanford, CA, USA","institution_ids":["https://openalex.org/I4210140678"]},{"raw_affiliation_string":"Information Systems Lab, Stanford University, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026966260","display_name":"William Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I1334627681","display_name":"Jet Propulsion Laboratory","ror":"https://ror.org/027k65916","country_code":"US","type":"facility","lineage":["https://openalex.org/I122411786","https://openalex.org/I1334627681","https://openalex.org/I4210124779"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"William Wu","raw_affiliation_strings":["Jet Propulsion Laboratory, Pasadena, CA, USA","Jet Propulsion Lab., Pasadena, CA (USA)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Jet Propulsion Laboratory, Pasadena, CA, USA","institution_ids":["https://openalex.org/I1334627681"]},{"raw_affiliation_string":"Jet Propulsion Lab., Pasadena, CA (USA)","institution_ids":["https://openalex.org/I1334627681"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9262,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.74082916,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"58","issue":"7","first_page":"4176","last_page":"4200"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9994999766349792,"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":0.9972000122070312,"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/bandlimiting","display_name":"Bandlimiting","score":0.8058090806007385},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.6321563720703125},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.5641624927520752},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5635668039321899},{"id":"https://openalex.org/keywords/nonuniform-sampling","display_name":"Nonuniform sampling","score":0.5193070769309998},{"id":"https://openalex.org/keywords/discrete-time-signal","display_name":"Discrete-time signal","score":0.46588271856307983},{"id":"https://openalex.org/keywords/discrete-frequency-domain","display_name":"Discrete frequency domain","score":0.4382549822330475},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41600149869918823},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38408613204956055},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38212478160858154},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2438778579235077},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16044682264328003},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.1256047487258911},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.10264208912849426},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.09956490993499756},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.09627392888069153}],"concepts":[{"id":"https://openalex.org/C129997835","wikidata":"https://www.wikidata.org/wiki/Q806263","display_name":"Bandlimiting","level":3,"score":0.8058090806007385},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.6321563720703125},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.5641624927520752},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5635668039321899},{"id":"https://openalex.org/C20326153","wikidata":"https://www.wikidata.org/wiki/Q7049638","display_name":"Nonuniform sampling","level":3,"score":0.5193070769309998},{"id":"https://openalex.org/C146749787","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete-time signal","level":5,"score":0.46588271856307983},{"id":"https://openalex.org/C23548689","wikidata":"https://www.wikidata.org/wiki/Q5282049","display_name":"Discrete frequency domain","level":3,"score":0.4382549822330475},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41600149869918823},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38408613204956055},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38212478160858154},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2438778579235077},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16044682264328003},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.1256047487258911},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.10264208912849426},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.09956490993499756},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09627392888069153},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.0},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.0},{"id":"https://openalex.org/C131021393","wikidata":"https://www.wikidata.org/wiki/Q7512759","display_name":"Signal transfer function","level":4,"score":0.0},{"id":"https://openalex.org/C13412647","wikidata":"https://www.wikidata.org/wiki/Q174948","display_name":"Analog signal","level":3,"score":0.0},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.2012.2193871","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2012.2193871","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1204.0992","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1204.0992","pdf_url":"https://arxiv.org/pdf/1204.0992","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1204.0992","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1204.0992","pdf_url":"https://arxiv.org/pdf/1204.0992","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W244136864","https://openalex.org/W1509033957","https://openalex.org/W1551177513","https://openalex.org/W1888174328","https://openalex.org/W1967316826","https://openalex.org/W1978516179","https://openalex.org/W1993774137","https://openalex.org/W1996692478","https://openalex.org/W2001007567","https://openalex.org/W2003327187","https://openalex.org/W2014439890","https://openalex.org/W2014453432","https://openalex.org/W2035816523","https://openalex.org/W2051793589","https://openalex.org/W2060034273","https://openalex.org/W2078776517","https://openalex.org/W2086760991","https://openalex.org/W2114129195","https://openalex.org/W2125455772","https://openalex.org/W2145096794","https://openalex.org/W2168156431","https://openalex.org/W2329213041","https://openalex.org/W2949436196"],"related_works":["https://openalex.org/W2127120319","https://openalex.org/W2051447688","https://openalex.org/W2144601817","https://openalex.org/W1495218064","https://openalex.org/W1828802557","https://openalex.org/W2998221947","https://openalex.org/W3012217557","https://openalex.org/W2160209843","https://openalex.org/W2148687814","https://openalex.org/W1700965767"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,42],"problem":[3],"of":[4,8,13,65],"interpolating":[5],"all":[6],"values":[7],"a":[9,35,58,81],"discrete":[10],"signal":[11],"f":[12,22],"length":[14],"N":[15,56],"when":[16],"dJ.":[17],"The":[18],"sampling":[19,37,67],"pattern":[20],"for":[21,72,77],"is":[23,31,57],"specified":[24],"by":[25],"an":[26,75],"index":[27],"set":[28,38],"I,":[29],"and":[30,80],"said":[32],"to":[33,48,91],"be":[34,46],"universal":[36,66],"if":[39],"samples":[40],"in":[41],"locations":[43],"I":[44],"can":[45],"used":[47],"interpolate":[49],"signals":[50],"from":[51],"BJfor":[52],"any":[53],"J.":[54],"When":[55],"prime":[59],"power":[60],"we":[61],"give":[62],"several":[63],"characterizations":[64],"sets,":[68,74],"some":[69],"structure":[70],"theorems":[71],"such":[73],"algorithm":[76],"their":[78],"construction,":[79],"formula":[82],"that":[83],"counts":[84],"them.":[85],"There":[86],"are":[87],"also":[88],"natural":[89],"applications":[90],"additive":[92],"uncertainty":[93],"principles.":[94]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
