{"id":"https://openalex.org/W4402978200","doi":"https://doi.org/10.1109/tsp.2024.3469068","title":"Sub-Nyquist USF Spectral Estimation: $K$ Frequencies With $6K+4$ Modulo Samples","display_name":"Sub-Nyquist USF Spectral Estimation: $K$ Frequencies With $6K+4$ Modulo Samples","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4402978200","doi":"https://doi.org/10.1109/tsp.2024.3469068"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2024.3469068","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2024.3469068","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/A5027325710","display_name":"Ruiming Guo","orcid":"https://orcid.org/0000-0002-9449-4042"},"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":"Ruiming Guo","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, South Kensington, London, U.K","Dept. of Electrical and Electronic Engineering, Imperial College London, South Kensington, London, UK"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, South Kensington, London, U.K","institution_ids":[]},{"raw_affiliation_string":"Dept. of Electrical and Electronic Engineering, Imperial College London, South Kensington, London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100646472","display_name":"Yuliang Zhu","orcid":"https://orcid.org/0000-0003-3987-9908"},"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":"Yuliang Zhu","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, South Kensington, London, U.K","Dept. of Electrical and Electronic Engineering, Imperial College London, South Kensington, London, UK"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, South Kensington, London, U.K","institution_ids":[]},{"raw_affiliation_string":"Dept. of Electrical and Electronic Engineering, Imperial College London, South Kensington, London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"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":["Department of Electrical and Electronic Engineering, Imperial College London, South Kensington, London, U.K","Dept. of Electrical and Electronic Engineering, Imperial College London, South Kensington, London, UK"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, South Kensington, London, U.K","institution_ids":[]},{"raw_affiliation_string":"Dept. of Electrical and Electronic Engineering, Imperial College London, South Kensington, London, UK","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5027325710"],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":null,"apc_paid":null,"fwci":2.0967,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.87532404,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"72","issue":null,"first_page":"5065","last_page":"5076"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9728999733924866,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9728999733924866,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T11890","display_name":"Scientific Measurement and Uncertainty Evaluation","score":0.9692999720573425,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11949","display_name":"Nuclear Physics and Applications","score":0.9059000015258789,"subfield":{"id":"https://openalex.org/subfields/3108","display_name":"Radiation"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.6610780954360962},{"id":"https://openalex.org/keywords/nyquist\u2013shannon-sampling-theorem","display_name":"Nyquist\u2013Shannon sampling theorem","score":0.5706416368484497},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5391460061073303},{"id":"https://openalex.org/keywords/spectral-density-estimation","display_name":"Spectral density estimation","score":0.5012714862823486},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48059651255607605},{"id":"https://openalex.org/keywords/nyquist-frequency","display_name":"Nyquist frequency","score":0.4589868485927582},{"id":"https://openalex.org/keywords/speech-recognition","display_name":"Speech recognition","score":0.3795095384120941},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3402242064476013},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33880698680877686},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2789660096168518},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.22070997953414917},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19641312956809998},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.17817142605781555},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.12815320491790771}],"concepts":[{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.6610780954360962},{"id":"https://openalex.org/C288623","wikidata":"https://www.wikidata.org/wiki/Q679800","display_name":"Nyquist\u2013Shannon sampling theorem","level":2,"score":0.5706416368484497},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5391460061073303},{"id":"https://openalex.org/C30049272","wikidata":"https://www.wikidata.org/wiki/Q6555326","display_name":"Spectral density estimation","level":3,"score":0.5012714862823486},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48059651255607605},{"id":"https://openalex.org/C98273374","wikidata":"https://www.wikidata.org/wiki/Q1501757","display_name":"Nyquist frequency","level":3,"score":0.4589868485927582},{"id":"https://openalex.org/C28490314","wikidata":"https://www.wikidata.org/wiki/Q189436","display_name":"Speech recognition","level":1,"score":0.3795095384120941},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3402242064476013},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33880698680877686},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2789660096168518},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.22070997953414917},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19641312956809998},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.17817142605781555},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.12815320491790771}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2024.3469068","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2024.3469068","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W1940393681","https://openalex.org/W1965224799","https://openalex.org/W1996692478","https://openalex.org/W2037070508","https://openalex.org/W2043422651","https://openalex.org/W2047932983","https://openalex.org/W2053520533","https://openalex.org/W2123629701","https://openalex.org/W2124590431","https://openalex.org/W2126153569","https://openalex.org/W2129918728","https://openalex.org/W2149406951","https://openalex.org/W2164390589","https://openalex.org/W2166500461","https://openalex.org/W2168156431","https://openalex.org/W2170618847","https://openalex.org/W2286274660","https://openalex.org/W2612766801","https://openalex.org/W2737827235","https://openalex.org/W2790255587","https://openalex.org/W2801332561","https://openalex.org/W2883524234","https://openalex.org/W2886711647","https://openalex.org/W2930502000","https://openalex.org/W2944333051","https://openalex.org/W3161477338","https://openalex.org/W3167164486","https://openalex.org/W3198071097","https://openalex.org/W3199048522","https://openalex.org/W3217376978","https://openalex.org/W4214871684","https://openalex.org/W4221017392","https://openalex.org/W4231896027","https://openalex.org/W4294643449","https://openalex.org/W4308234049","https://openalex.org/W4372190820","https://openalex.org/W4372346848","https://openalex.org/W4372347437","https://openalex.org/W4375868808","https://openalex.org/W4385834398","https://openalex.org/W4386951440","https://openalex.org/W4392902902","https://openalex.org/W4394805000","https://openalex.org/W6633106695"],"related_works":["https://openalex.org/W1500996803","https://openalex.org/W2081608853","https://openalex.org/W2788446302","https://openalex.org/W2048758647","https://openalex.org/W2071732377","https://openalex.org/W1526881856","https://openalex.org/W2356666806","https://openalex.org/W2315093958","https://openalex.org/W1997066351","https://openalex.org/W2362083308"],"abstract_inverted_index":{"Digital":[0],"acquisition":[1],"of":[2,99,116,127,140,196],"high":[3],"bandwidth":[4],"signxals":[5],"is":[6,13],"particularly":[7,83],"challenging":[8],"when":[9],"Nyquist":[10,153],"rate":[11,119],"sampling":[12,23,118,150],"impractical.":[14],"This":[15],"has":[16],"led":[17],"to":[18,160,173],"extensive":[19],"research":[20],"in":[21,73,143,164,181],"sub-Nyquist":[22,52,68,128],"methods,":[24],"primarily":[25],"for":[26],"spectral":[27,53,182],"and":[28,76,102,190],"sinusoidal":[29],"frequency":[30,77,165],"estimation.":[31],"However,":[32],"these":[33],"methods":[34],"struggle":[35],"with":[36],"high-dynamic-range":[37],"(HDR)":[38],"signals":[39,142],"that":[40,93],"can":[41,104],"saturate":[42],"analog-to-digital":[43],"converters":[44],"(ADCs).":[45],"Addressing":[46],"this,":[47],"we":[48,135],"introduce":[49],"a":[50,64,161],"novel":[51],"estimation":[54,139,166,183],"method,":[55],"driven":[56],"by":[57],"the":[58,80,117,124,144,194],"Unlimited":[59],"Sensing":[60],"Framework":[61],"(USF),":[62],"utilizing":[63],"multi-channel":[65],"system.":[66],"The":[67],"USF":[69],"method":[70],"aliases":[71],"samples":[72],"both":[74],"amplitude":[75],"domains,":[78],"rendering":[79],"inverse":[81],"problem":[82],"challenging.":[84],"Towards":[85],"this":[86],"goal,":[87],"our":[88],"exact":[89],"recovery":[90],"theorem":[91],"establishes":[92],"<inline-formula":[94,108],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[95,109],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[96,110],"notation=\"LaTeX\">$K$</tex-math></inline-formula>":[97],"sinusoids":[98],"arbitrary":[100],"amplitudes":[101],"frequencies":[103],"be":[105],"recovered":[106],"from":[107],"notation=\"LaTeX\">$6K+4$</tex-math></inline-formula>":[111],"modulo":[112,131],"samples,":[113],"remarkably,":[114],"independent":[115],"or":[120],"folding":[121],"threshold.":[122],"In":[123],"true":[125],"spirit":[126],"sampling,":[129],"via":[130],"ADC":[132],"hardware":[133],"experiments,":[134],"demonstrate":[136],"successful":[137],"spectrum":[138],"HDR":[141],"kHz":[145],"range":[146,149],"using":[147,168],"Hz":[148],"rates":[151],"(0.078%":[152],"rate).":[154],"Our":[155],"experiments":[156],"also":[157],"reveal":[158],"up":[159],"33-fold":[162],"improvement":[163],"accuracy":[167],"one":[169],"less":[170],"bit":[171],"compared":[172],"conventional":[174],"ADCs.":[175],"These":[176],"findings":[177],"open":[178],"new":[179],"avenues":[180],"applications,":[184],"e.g.,":[185],"radars,":[186],"direction-of-arrival":[187],"(DoA)":[188],"estimation,":[189],"cognitive":[191],"radio,":[192],"showcasing":[193],"potential":[195],"USF.":[197]},"counts_by_year":[{"year":2025,"cited_by_count":6}],"updated_date":"2025-12-21T01:58:51.020947","created_date":"2024-10-01T00:00:00"}
