{"id":"https://openalex.org/W3015455788","doi":"https://doi.org/10.1109/icassp40776.2020.9053505","title":"One-Bit Sampling in Fractional Fourier Domain","display_name":"One-Bit Sampling in Fractional Fourier Domain","publication_year":2020,"publication_date":"2020-04-09","ids":{"openalex":"https://openalex.org/W3015455788","doi":"https://doi.org/10.1109/icassp40776.2020.9053505","mag":"3015455788"},"language":"en","primary_location":{"id":"doi:10.1109/icassp40776.2020.9053505","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp40776.2020.9053505","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","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/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":true,"raw_author_name":"Ayush Bhandari","raw_affiliation_strings":["Dept. of Electrical and Electronic Engineering, Imperial College London, UK"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Electronic Engineering, Imperial College London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055926884","display_name":"Olga Graf","orcid":"https://orcid.org/0000-0002-7737-0945"},"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":"Olga Graf","raw_affiliation_strings":["Dept. of Mathematics, Technical University of Munich, Garching, Germany"],"affiliations":[{"raw_affiliation_string":"Dept. of Mathematics, Technical University of Munich, Garching, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"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":["Dept. of Mathematics, Technical University of Munich, Garching, Germany"],"affiliations":[{"raw_affiliation_string":"Dept. of Mathematics, Technical University of Munich, Garching, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044329640","display_name":"Ahmed I. Zayed","orcid":"https://orcid.org/0000-0002-7878-826X"},"institutions":[{"id":"https://openalex.org/I118353179","display_name":"DePaul University","ror":"https://ror.org/04xtx5t16","country_code":"US","type":"education","lineage":["https://openalex.org/I118353179"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ahmed I. Zayed","raw_affiliation_strings":["Dept. of Mathematical Sciences, DePaul University, Chicago, IL, USA"],"affiliations":[{"raw_affiliation_string":"Dept. of Mathematical Sciences, DePaul University, Chicago, IL, USA","institution_ids":["https://openalex.org/I118353179"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5029074414"],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":null,"apc_paid":null,"fwci":0.2915,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.45544514,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":null,"issue":null,"first_page":"9140","last_page":"9144"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9988999962806702,"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":0.998199999332428,"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/bandlimiting","display_name":"Bandlimiting","score":0.9361008405685425},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.7566003799438477},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.6501501798629761},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5546193718910217},{"id":"https://openalex.org/keywords/quantization","display_name":"Quantization (signal processing)","score":0.5407476425170898},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4758298695087433},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.4689863324165344},{"id":"https://openalex.org/keywords/nonuniform-sampling","display_name":"Nonuniform sampling","score":0.43730106949806213},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.42452287673950195},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.4164295196533203},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4123288691043854},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.21896380186080933},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20897063612937927},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12374007701873779},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.11489376425743103}],"concepts":[{"id":"https://openalex.org/C129997835","wikidata":"https://www.wikidata.org/wiki/Q806263","display_name":"Bandlimiting","level":3,"score":0.9361008405685425},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.7566003799438477},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.6501501798629761},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5546193718910217},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.5407476425170898},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4758298695087433},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.4689863324165344},{"id":"https://openalex.org/C20326153","wikidata":"https://www.wikidata.org/wiki/Q7049638","display_name":"Nonuniform sampling","level":3,"score":0.43730106949806213},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.42452287673950195},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.4164295196533203},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4123288691043854},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.21896380186080933},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20897063612937927},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12374007701873779},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.11489376425743103},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp40776.2020.9053505","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp40776.2020.9053505","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","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":32,"referenced_works":["https://openalex.org/W1524562370","https://openalex.org/W1527312120","https://openalex.org/W1672244770","https://openalex.org/W1989877067","https://openalex.org/W1996071780","https://openalex.org/W1999198554","https://openalex.org/W2000076756","https://openalex.org/W2018654957","https://openalex.org/W2019388666","https://openalex.org/W2040199575","https://openalex.org/W2082819064","https://openalex.org/W2102426649","https://openalex.org/W2102736013","https://openalex.org/W2107164950","https://openalex.org/W2109843992","https://openalex.org/W2110063971","https://openalex.org/W2113345375","https://openalex.org/W2116201158","https://openalex.org/W2122106254","https://openalex.org/W2139889035","https://openalex.org/W2145576488","https://openalex.org/W2156902662","https://openalex.org/W2165555254","https://openalex.org/W2166795112","https://openalex.org/W2170411504","https://openalex.org/W2313770498","https://openalex.org/W2737827235","https://openalex.org/W2805751152","https://openalex.org/W2940392246","https://openalex.org/W2963262474","https://openalex.org/W2963638790","https://openalex.org/W3105381059"],"related_works":["https://openalex.org/W1527312120","https://openalex.org/W2963638790","https://openalex.org/W1902265650","https://openalex.org/W4298027785","https://openalex.org/W2084832863","https://openalex.org/W3016524886","https://openalex.org/W2089904308","https://openalex.org/W1974020183","https://openalex.org/W1982270967","https://openalex.org/W3015455788"],"abstract_inverted_index":{"The":[0],"fractional":[1,31],"Fourier":[2,32,57,163],"transform":[3,33],"has":[4],"found":[5],"applications":[6],"in":[7,88,104,146,168],"a":[8,82,135,169],"variety":[9],"of":[10,24,40,43,68,101,130,143],"topics":[11],"linked":[12],"with":[13],"science":[14],"and":[15,74,99,133,181],"engineering.":[16],"In":[17,77,123],"this":[18,78],"context,":[19],"sampling":[20,45,86,98,137],"theory":[21,87],"is":[22,109,116],"one":[23],"the":[25,30,35,38,48,52,56,66,89,93,105,119,128,147,155,159,162],"most":[26],"well-studied":[27],"subjects.":[28],"Since":[29,158],"or":[34],"FrFT":[36,49,90,106,148,160],"generalizes":[37,51,161],"notion":[39],"bandlimitedness,":[41],"extension":[42],"Shannon's":[44],"theorem":[46],"to":[47,65,85,154],"domain":[50,107,149],"classical":[53],"result":[54],"for":[55,141],"domain.":[58,91],"These":[59],"ideas":[60],"have":[61],"further":[62],"been":[63],"extended":[64],"class":[67],"non-bandlimited":[69],"functions":[70,103,145],"via":[71],"shift-invariant":[72],"subspaces":[73],"sparse":[75],"models.":[76],"paper,":[79],"we":[80,96,125],"discuss":[81],"different":[83],"approach":[84],"For":[92],"first":[94],"time,":[95],"propose":[97],"recovery":[100,142],"bandlimited":[102,144],"that":[108,139],"based":[110],"on":[111,127],"one-bit":[112,136],"samples.":[113],"Our":[114],"work":[115,166],"inspired":[117],"by":[118,150],"Sigma-Delta":[120,171],"quantization":[121,152],"scheme.":[122],"particular,":[124],"capitalize":[126],"idea":[129],"noise":[131,153],"shaping":[132],"develop":[134],"architecture":[138],"allows":[140],"pushing":[151],"higher":[156],"frequencies.":[157],"transform,":[164],"our":[165,175],"results":[167],"generalized":[170],"architecture.":[172],"We":[173],"validate":[174],"theoretical":[176],"concepts":[177],"through":[178],"computer":[179],"experiments":[180],"provide":[182],"an":[183],"approximation":[184],"theoretic":[185],"error":[186],"bound.":[187]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}