{"id":"https://openalex.org/W2766096098","doi":"https://doi.org/10.1109/access.2017.2763421","title":"Sub-Nyquist Sampling and Recovery of Pulse Streams With the Real Parts of Fourier Coefficients","display_name":"Sub-Nyquist Sampling and Recovery of Pulse Streams With the Real Parts of Fourier Coefficients","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2766096098","doi":"https://doi.org/10.1109/access.2017.2763421","mag":"2766096098"},"language":"en","primary_location":{"id":"doi:10.1109/access.2017.2763421","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2017.2763421","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2017.2763421","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025061441","display_name":"Ning Fu","orcid":"https://orcid.org/0000-0002-0317-9697"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ning Fu","raw_affiliation_strings":["Department of Automatic Test and Control, Harbin Institute of Technology, Harbin, China"],"affiliations":[{"raw_affiliation_string":"Department of Automatic Test and Control, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031644149","display_name":"Guoxing Huang","orcid":"https://orcid.org/0000-0002-4591-0900"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guoxing Huang","raw_affiliation_strings":["Department of Automatic Test and Control, Harbin Institute of Technology, Harbin, China"],"affiliations":[{"raw_affiliation_string":"Department of Automatic Test and Control, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006333473","display_name":"Liyan Qiao","orcid":"https://orcid.org/0000-0002-7397-3458"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liyan Qiao","raw_affiliation_strings":["Department of Automatic Test and Control, Harbin Institute of Technology, Harbin, China"],"affiliations":[{"raw_affiliation_string":"Department of Automatic Test and Control, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060020935","display_name":"Haoran Zhao","orcid":"https://orcid.org/0000-0002-2515-8897"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haoran Zhao","raw_affiliation_strings":["Department of Automatic Test and Control, Harbin Institute of Technology, Harbin, China"],"affiliations":[{"raw_affiliation_string":"Department of Automatic Test and Control, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5025061441"],"corresponding_institution_ids":["https://openalex.org/I204983213"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.7203,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.69840351,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"5","issue":null,"first_page":"22667","last_page":"22677"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994000196456909,"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":0.9994000196456909,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9987999796867371,"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"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9979000091552734,"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/aliasing","display_name":"Aliasing","score":0.6994504928588867},{"id":"https://openalex.org/keywords/nyquist\u2013shannon-sampling-theorem","display_name":"Nyquist\u2013Shannon sampling theorem","score":0.6640728712081909},{"id":"https://openalex.org/keywords/nyquist-rate","display_name":"Nyquist rate","score":0.6583355665206909},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.6546748280525208},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6466626524925232},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6133632063865662},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5080728530883789},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.47017401456832886},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.4636792838573456},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.35640665888786316},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30520063638687134},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.09002327919006348},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07390952110290527}],"concepts":[{"id":"https://openalex.org/C4069607","wikidata":"https://www.wikidata.org/wiki/Q868732","display_name":"Aliasing","level":3,"score":0.6994504928588867},{"id":"https://openalex.org/C288623","wikidata":"https://www.wikidata.org/wiki/Q679800","display_name":"Nyquist\u2013Shannon sampling theorem","level":2,"score":0.6640728712081909},{"id":"https://openalex.org/C65914096","wikidata":"https://www.wikidata.org/wiki/Q6273772","display_name":"Nyquist rate","level":4,"score":0.6583355665206909},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.6546748280525208},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6466626524925232},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6133632063865662},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5080728530883789},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.47017401456832886},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.4636792838573456},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.35640665888786316},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30520063638687134},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.09002327919006348},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07390952110290527},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2017.2763421","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2017.2763421","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:9c41ae1d1e094bfb9ebc5fd0f605c4da","is_oa":true,"landing_page_url":"https://doaj.org/article/9c41ae1d1e094bfb9ebc5fd0f605c4da","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 5, Pp 22667-22677 (2017)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2017.2763421","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2017.2763421","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure","score":0.6399999856948853}],"awards":[{"id":"https://openalex.org/G448006085","display_name":null,"funder_award_id":"61102148","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4740343229","display_name":null,"funder_award_id":"61671177","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1514558801","https://openalex.org/W1997836277","https://openalex.org/W2015491508","https://openalex.org/W2018962290","https://openalex.org/W2046658845","https://openalex.org/W2071966758","https://openalex.org/W2074380172","https://openalex.org/W2098662489","https://openalex.org/W2103300762","https://openalex.org/W2104266187","https://openalex.org/W2111273705","https://openalex.org/W2119667497","https://openalex.org/W2127271355","https://openalex.org/W2127411941","https://openalex.org/W2132874190","https://openalex.org/W2138787877","https://openalex.org/W2147746039","https://openalex.org/W2148652327","https://openalex.org/W2149213383","https://openalex.org/W2158537680","https://openalex.org/W2166500461","https://openalex.org/W2295094836","https://openalex.org/W2312918527","https://openalex.org/W2398406966","https://openalex.org/W2485360962","https://openalex.org/W2515638061","https://openalex.org/W2517285219","https://openalex.org/W2524637524","https://openalex.org/W2533467403","https://openalex.org/W2547733646","https://openalex.org/W2563799792","https://openalex.org/W2564032898","https://openalex.org/W2611826770","https://openalex.org/W2622539679","https://openalex.org/W2730198753","https://openalex.org/W4211205285","https://openalex.org/W6728839709"],"related_works":["https://openalex.org/W2368043784","https://openalex.org/W2576230203","https://openalex.org/W3015557210","https://openalex.org/W2982329731","https://openalex.org/W2009568739","https://openalex.org/W1570358496","https://openalex.org/W2210983845","https://openalex.org/W2119667497","https://openalex.org/W2119250743","https://openalex.org/W1999380194"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,41,56,66,91,95,112,124,144,150,166,181,197,202,205,214,220,227,232,241],"problem":[3],"of":[4,15,33,47,63,94,114,169,172,204,219,231],"sampling":[5,46,67,80,183],"pulse":[6,48,85,221],"streams":[7,49,222],"with":[8,27,130,139,180],"known":[9],"shapes.":[10],"The":[11,98],"recent":[12],"finite":[13],"rate":[14,32,62,113],"innovation":[16,115],"(FRI)":[17],"framework":[18],"has":[19],"shown":[20,239],"that":[21,240],"such":[22],"signals":[23],"can":[24,223],"be":[25,224],"sampled":[26],"perfect":[28],"reconstruction":[29],"at":[30],"their":[31],"innovation,":[34,64],"which":[35,87,200],"is":[36,88,101,116,120,244],"usually":[37],"much":[38],"lower":[39],"than":[40,251],"Nyquist":[42],"rate.":[43],"Although":[44],"FRI":[45,79],"was":[50,58,69],"treated":[51],"in":[52,127,165],"various":[53],"works,":[54],"either":[55],"work":[57],"unstable":[59],"for":[60,84],"high":[61],"or":[65],"stage":[68],"complex":[70],"and":[71,81,103,105,217,246],"redundant.":[72],"In":[73],"this":[74,162],"paper,":[75],"we":[76,154,185],"propose":[77,155,186],"an":[78],"recovery":[82,109,212],"method":[83,100],"streams,":[86],"based":[89],"on":[90],"real":[92,167,229],"parts":[93,168,230],"Fourier":[96,173,233],"coefficients.":[97,234],"proposed":[99,242],"simple":[102],"efficient,":[104],"leads":[106],"to":[107,149,160,191],"stable":[108],"even":[110],"when":[111],"very":[117],"high.":[118],"This":[119],"achieved":[121],"through":[122],"modulating":[123,145],"input":[125],"signal":[126,151,206],"each":[128,176],"channel":[129],"a":[131,140,156,170,187,210],"properly":[132],"chosen":[133],"cosine":[134],"signal,":[135],"followed":[136],"by":[137],"filtering":[138],"low-pass":[141],"filter.":[142],"Since":[143],"process":[146],"will":[147],"lead":[148],"spectrum":[152,157],"aliasing,":[153],"de-aliasing":[158],"algorithm":[159],"solve":[161],"problem,":[163],"resulting":[164],"band":[171],"coefficients":[174],"from":[175,196,226],"two":[177],"channels.":[178],"Combining":[179],"multi-channel":[182],"structure,":[184],"more":[188],"efficient":[189],"way":[190],"obtain":[192],"arbitrary":[193],"frequency":[194],"bands":[195],"aliased":[198],"spectrum,":[199],"improves":[201],"utility":[203],"spectrum.":[207],"By":[208],"using":[209],"sparsity-based":[211],"algorithm,":[213],"time":[215],"delays":[216],"amplitudes":[218],"recovered":[225],"obtained":[228],"Finally,":[235],"simulation":[236],"results":[237],"have":[238],"scheme":[243],"flexible":[245],"exhibits":[247],"better":[248],"noise":[249],"robustness":[250],"previous":[252],"approaches.":[253]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
