{"id":"https://openalex.org/W3117279078","doi":"https://doi.org/10.23919/eusipco47968.2020.9287529","title":"Multidimensional Unlimited Sampling: A Geometrical Perspective","display_name":"Multidimensional Unlimited Sampling: A Geometrical Perspective","publication_year":2020,"publication_date":"2020-12-18","ids":{"openalex":"https://openalex.org/W3117279078","doi":"https://doi.org/10.23919/eusipco47968.2020.9287529","mag":"3117279078"},"language":"en","primary_location":{"id":"doi:10.23919/eusipco47968.2020.9287529","is_oa":false,"landing_page_url":"https://doi.org/10.23919/eusipco47968.2020.9287529","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 28th European Signal Processing Conference (EUSIPCO)","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/A5019263725","display_name":"Vincent Bouis","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Vincent Bouis","raw_affiliation_strings":["\u00c9cole Normale Sup\u00e9rieure, France"],"affiliations":[{"raw_affiliation_string":"\u00c9cole Normale Sup\u00e9rieure, France","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090264479","display_name":"Felix Krahmer","orcid":null},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Felix Krahmer","raw_affiliation_strings":["Technical University of Munich, Garching, Germany"],"affiliations":[{"raw_affiliation_string":"Technical University of Munich, Garching, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029074414","display_name":"Ayush Bhandari","orcid":"https://orcid.org/0000-0002-4485-2569"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Ayush Bhandari","raw_affiliation_strings":["Imperial College London, London, UK"],"affiliations":[{"raw_affiliation_string":"Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5019263725"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.0408,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.8750567,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"2314","last_page":"2318"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9954000115394592,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9896000027656555,"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/oversampling","display_name":"Oversampling","score":0.8543590307235718},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.6618603467941284},{"id":"https://openalex.org/keywords/bandlimiting","display_name":"Bandlimiting","score":0.6605212688446045},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.6464791297912598},{"id":"https://openalex.org/keywords/nyquist\u2013shannon-sampling-theorem","display_name":"Nyquist\u2013Shannon sampling theorem","score":0.5990121960639954},{"id":"https://openalex.org/keywords/clipping","display_name":"Clipping (morphology)","score":0.5726046562194824},{"id":"https://openalex.org/keywords/perspective","display_name":"Perspective (graphical)","score":0.562706470489502},{"id":"https://openalex.org/keywords/nonuniform-sampling","display_name":"Nonuniform sampling","score":0.5034515261650085},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4939900040626526},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.4884847402572632},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4660910665988922},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4507267475128174},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.42655766010284424},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3753851056098938},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3722636103630066},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.325589656829834},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2882694602012634},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.1603185534477234},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15702888369560242},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.12608730792999268},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11337485909461975},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.11287704110145569}],"concepts":[{"id":"https://openalex.org/C197323446","wikidata":"https://www.wikidata.org/wiki/Q331222","display_name":"Oversampling","level":3,"score":0.8543590307235718},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.6618603467941284},{"id":"https://openalex.org/C129997835","wikidata":"https://www.wikidata.org/wiki/Q806263","display_name":"Bandlimiting","level":3,"score":0.6605212688446045},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.6464791297912598},{"id":"https://openalex.org/C288623","wikidata":"https://www.wikidata.org/wiki/Q679800","display_name":"Nyquist\u2013Shannon sampling theorem","level":2,"score":0.5990121960639954},{"id":"https://openalex.org/C2776848632","wikidata":"https://www.wikidata.org/wiki/Q853463","display_name":"Clipping (morphology)","level":2,"score":0.5726046562194824},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.562706470489502},{"id":"https://openalex.org/C20326153","wikidata":"https://www.wikidata.org/wiki/Q7049638","display_name":"Nonuniform sampling","level":3,"score":0.5034515261650085},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4939900040626526},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4884847402572632},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4660910665988922},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4507267475128174},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.42655766010284424},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3753851056098938},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3722636103630066},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.325589656829834},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2882694602012634},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.1603185534477234},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15702888369560242},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.12608730792999268},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11337485909461975},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.11287704110145569},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.0},{"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/eusipco47968.2020.9287529","is_oa":false,"landing_page_url":"https://doi.org/10.23919/eusipco47968.2020.9287529","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 28th European Signal Processing Conference (EUSIPCO)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320314731","display_name":"UK Research and Innovation","ror":"https://ror.org/001aqnf71"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1530883782","https://openalex.org/W1983127134","https://openalex.org/W2011657506","https://openalex.org/W2118299246","https://openalex.org/W2163889321","https://openalex.org/W2165066371","https://openalex.org/W2301261742","https://openalex.org/W2737827235","https://openalex.org/W2798190016","https://openalex.org/W2802183119","https://openalex.org/W2838793543","https://openalex.org/W2883524234","https://openalex.org/W2886711647","https://openalex.org/W2930502000","https://openalex.org/W2940392246","https://openalex.org/W2944333051","https://openalex.org/W2957868527","https://openalex.org/W2963835727","https://openalex.org/W3004372580","https://openalex.org/W3035129340","https://openalex.org/W3089504710","https://openalex.org/W3091174658","https://openalex.org/W3092309493","https://openalex.org/W3099366122","https://openalex.org/W3100495456","https://openalex.org/W3105381059","https://openalex.org/W3114622418","https://openalex.org/W4297824910","https://openalex.org/W6744778258","https://openalex.org/W6761840477","https://openalex.org/W6787503580"],"related_works":["https://openalex.org/W2170014524","https://openalex.org/W2125529598","https://openalex.org/W4247246397","https://openalex.org/W2148909075","https://openalex.org/W1421666895","https://openalex.org/W2143776865","https://openalex.org/W2170356637","https://openalex.org/W4297783100","https://openalex.org/W2949625467","https://openalex.org/W2140510750"],"abstract_inverted_index":{"The":[0,25],"recently":[1],"introduced":[2],"unlimited":[3,53],"sampling":[4,54,60,74],"theorem":[5,55],"proves":[6],"that":[7,31,56,76],"a":[8,17,48,65],"one-dimensional":[9],"bandlimited":[10],"function":[11],"can":[12,35],"be":[13,36],"perfectly":[14],"recovered":[15,37],"from":[16],"constant":[18],"factor":[19],"oversampling":[20],"of":[21,27,51,72,82],"its":[22],"modulo":[23,73],"samples.":[24],"advantage":[26],"this":[28,44],"approach":[29],"is":[30,77],"arbitrary":[32,59],"high-dynamic-range":[33],"signals":[34],"without":[38],"sensor":[39],"saturation":[40],"or":[41],"clipping.":[42],"In":[43],"paper,":[45],"we":[46],"prove":[47],"multidimensional":[49],"version":[50],"the":[52,69,80],"works":[57],"with":[58],"lattices.":[61],"We":[62],"also":[63],"present":[64],"geometrical":[66],"perspective":[67],"on":[68,79],"emerging":[70],"class":[71],"problem":[75],"based":[78],"topology":[81],"quotient":[83],"spaces.":[84]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}