{"id":"https://openalex.org/W4387831796","doi":"https://doi.org/10.1109/tcsii.2023.3326363","title":"Aliased Frequency Estimation by Using Two Coprime Sub-Nyquist Sampling Rates","display_name":"Aliased Frequency Estimation by Using Two Coprime Sub-Nyquist Sampling Rates","publication_year":2023,"publication_date":"2023-10-20","ids":{"openalex":"https://openalex.org/W4387831796","doi":"https://doi.org/10.1109/tcsii.2023.3326363"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2023.3326363","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/tcsii.2023.3326363","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","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/A5080217808","display_name":"Wenxu Zhang","orcid":"https://orcid.org/0000-0001-6290-3895"},"institutions":[{"id":"https://openalex.org/I151727225","display_name":"Harbin Engineering University","ror":"https://ror.org/03x80pn82","country_code":"CN","type":"education","lineage":["https://openalex.org/I151727225"]},{"id":"https://openalex.org/I890469752","display_name":"Ministry of Industry and Information Technology","ror":"https://ror.org/0385nmy68","country_code":"CN","type":"government","lineage":["https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wenxu Zhang","raw_affiliation_strings":["School of Information and Communication Engineering and the Key Laboratory of Advanced Marine Communication and Information Technology, Ministry of Industry and Information Technology, Harbin Engineering University, Harbin, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Communication Engineering and the Key Laboratory of Advanced Marine Communication and Information Technology, Ministry of Industry and Information Technology, Harbin Engineering University, Harbin, China","institution_ids":["https://openalex.org/I151727225","https://openalex.org/I890469752"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067899556","display_name":"Xinlei Cui","orcid":"https://orcid.org/0000-0002-4073-7176"},"institutions":[{"id":"https://openalex.org/I151727225","display_name":"Harbin Engineering University","ror":"https://ror.org/03x80pn82","country_code":"CN","type":"education","lineage":["https://openalex.org/I151727225"]},{"id":"https://openalex.org/I890469752","display_name":"Ministry of Industry and Information Technology","ror":"https://ror.org/0385nmy68","country_code":"CN","type":"government","lineage":["https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinlei Cui","raw_affiliation_strings":["School of Information and Communication Engineering and the Key Laboratory of Advanced Marine Communication and Information Technology, Ministry of Industry and Information Technology, Harbin Engineering University, Harbin, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Communication Engineering and the Key Laboratory of Advanced Marine Communication and Information Technology, Ministry of Industry and Information Technology, Harbin Engineering University, Harbin, China","institution_ids":["https://openalex.org/I151727225","https://openalex.org/I890469752"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067542766","display_name":"Zhongkai Zhao","orcid":"https://orcid.org/0000-0002-8403-3891"},"institutions":[{"id":"https://openalex.org/I890469752","display_name":"Ministry of Industry and Information Technology","ror":"https://ror.org/0385nmy68","country_code":"CN","type":"government","lineage":["https://openalex.org/I890469752"]},{"id":"https://openalex.org/I151727225","display_name":"Harbin Engineering University","ror":"https://ror.org/03x80pn82","country_code":"CN","type":"education","lineage":["https://openalex.org/I151727225"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhongkai Zhao","raw_affiliation_strings":["School of Information and Communication Engineering and the Key Laboratory of Advanced Marine Communication and Information Technology, Ministry of Industry and Information Technology, Harbin Engineering University, Harbin, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Communication Engineering and the Key Laboratory of Advanced Marine Communication and Information Technology, Ministry of Industry and Information Technology, Harbin Engineering University, Harbin, China","institution_ids":["https://openalex.org/I151727225","https://openalex.org/I890469752"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048748420","display_name":"Manjun Lu","orcid":"https://orcid.org/0000-0002-8950-7080"},"institutions":[{"id":"https://openalex.org/I4210105312","display_name":"Shanghai Power Equipment Research Institute","ror":"https://ror.org/01pw44479","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210105312"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Manjun Lu","raw_affiliation_strings":["Prospective Laboratory, Radio Equipment Research Institute of Shanghai, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Prospective Laboratory, Radio Equipment Research Institute of Shanghai, Shanghai, China","institution_ids":["https://openalex.org/I4210105312"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050583798","display_name":"Xiaoqi Zhao","orcid":"https://orcid.org/0009-0003-0332-4748"},"institutions":[{"id":"https://openalex.org/I151727225","display_name":"Harbin Engineering University","ror":"https://ror.org/03x80pn82","country_code":"CN","type":"education","lineage":["https://openalex.org/I151727225"]},{"id":"https://openalex.org/I890469752","display_name":"Ministry of Industry and Information Technology","ror":"https://ror.org/0385nmy68","country_code":"CN","type":"government","lineage":["https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoqi Zhao","raw_affiliation_strings":["School of Information and Communication Engineering and the Key Laboratory of Advanced Marine Communication and Information Technology, Ministry of Industry and Information Technology, Harbin Engineering University, Harbin, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Communication Engineering and the Key Laboratory of Advanced Marine Communication and Information Technology, Ministry of Industry and Information Technology, Harbin Engineering University, Harbin, China","institution_ids":["https://openalex.org/I151727225","https://openalex.org/I890469752"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5080217808"],"corresponding_institution_ids":["https://openalex.org/I151727225","https://openalex.org/I890469752"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14178404,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"71","issue":"3","first_page":"1516","last_page":"1520"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9998000264167786,"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/T10860","display_name":"Speech and Audio Processing","score":0.9983999729156494,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9980000257492065,"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/nyquist-rate","display_name":"Nyquist rate","score":0.7097613215446472},{"id":"https://openalex.org/keywords/nyquist\u2013shannon-sampling-theorem","display_name":"Nyquist\u2013Shannon sampling theorem","score":0.6963208317756653},{"id":"https://openalex.org/keywords/nyquist-frequency","display_name":"Nyquist frequency","score":0.6581259369850159},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.6079939007759094},{"id":"https://openalex.org/keywords/coprime-integers","display_name":"Coprime integers","score":0.6056286692619324},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.5819644927978516},{"id":"https://openalex.org/keywords/coherent-sampling","display_name":"Coherent sampling","score":0.5680505633354187},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5446798205375671},{"id":"https://openalex.org/keywords/undersampling","display_name":"Undersampling","score":0.5324481725692749},{"id":"https://openalex.org/keywords/wideband","display_name":"Wideband","score":0.5162713527679443},{"id":"https://openalex.org/keywords/discrete-fourier-transform","display_name":"Discrete Fourier transform (general)","score":0.4832961857318878},{"id":"https://openalex.org/keywords/anti-aliasing-filter","display_name":"Anti-aliasing filter","score":0.464308500289917},{"id":"https://openalex.org/keywords/nyquist-stability-criterion","display_name":"Nyquist stability criterion","score":0.44041308760643005},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43646958470344543},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4313659369945526},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4234161376953125},{"id":"https://openalex.org/keywords/aliasing","display_name":"Aliasing","score":0.41824135184288025},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.34681886434555054},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.243381530046463},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.20998087525367737},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.18860214948654175},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.18416595458984375},{"id":"https://openalex.org/keywords/low-pass-filter","display_name":"Low-pass filter","score":0.13161489367485046},{"id":"https://openalex.org/keywords/short-time-fourier-transform","display_name":"Short-time Fourier transform","score":0.1045868992805481},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08959421515464783},{"id":"https://openalex.org/keywords/detector","display_name":"Detector","score":0.08375054597854614},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08044043183326721}],"concepts":[{"id":"https://openalex.org/C65914096","wikidata":"https://www.wikidata.org/wiki/Q6273772","display_name":"Nyquist rate","level":4,"score":0.7097613215446472},{"id":"https://openalex.org/C288623","wikidata":"https://www.wikidata.org/wiki/Q679800","display_name":"Nyquist\u2013Shannon sampling theorem","level":2,"score":0.6963208317756653},{"id":"https://openalex.org/C98273374","wikidata":"https://www.wikidata.org/wiki/Q1501757","display_name":"Nyquist frequency","level":3,"score":0.6581259369850159},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.6079939007759094},{"id":"https://openalex.org/C23230895","wikidata":"https://www.wikidata.org/wiki/Q104752","display_name":"Coprime integers","level":2,"score":0.6056286692619324},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.5819644927978516},{"id":"https://openalex.org/C31942786","wikidata":"https://www.wikidata.org/wiki/Q679800","display_name":"Coherent sampling","level":4,"score":0.5680505633354187},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5446798205375671},{"id":"https://openalex.org/C136536468","wikidata":"https://www.wikidata.org/wiki/Q1225894","display_name":"Undersampling","level":2,"score":0.5324481725692749},{"id":"https://openalex.org/C2780202535","wikidata":"https://www.wikidata.org/wiki/Q4524457","display_name":"Wideband","level":2,"score":0.5162713527679443},{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.4832961857318878},{"id":"https://openalex.org/C146826852","wikidata":"https://www.wikidata.org/wiki/Q604241","display_name":"Anti-aliasing filter","level":5,"score":0.464308500289917},{"id":"https://openalex.org/C7630364","wikidata":"https://www.wikidata.org/wiki/Q1756793","display_name":"Nyquist stability criterion","level":3,"score":0.44041308760643005},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43646958470344543},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4313659369945526},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4234161376953125},{"id":"https://openalex.org/C4069607","wikidata":"https://www.wikidata.org/wiki/Q868732","display_name":"Aliasing","level":3,"score":0.41824135184288025},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.34681886434555054},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.243381530046463},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.20998087525367737},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.18860214948654175},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.18416595458984375},{"id":"https://openalex.org/C44682112","wikidata":"https://www.wikidata.org/wiki/Q918242","display_name":"Low-pass filter","level":3,"score":0.13161489367485046},{"id":"https://openalex.org/C166386157","wikidata":"https://www.wikidata.org/wiki/Q1477735","display_name":"Short-time Fourier transform","level":4,"score":0.1045868992805481},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08959421515464783},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.08375054597854614},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08044043183326721},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C76826599","wikidata":"https://www.wikidata.org/wiki/Q1248611","display_name":"Root-raised-cosine filter","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsii.2023.3326363","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/tcsii.2023.3326363","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6399999856948853,"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure"}],"awards":[{"id":"https://openalex.org/G5835342234","display_name":null,"funder_award_id":"LH2020F020","funder_id":"https://openalex.org/F4320323085","funder_display_name":"Natural Science Foundation of Heilongjiang Province"},{"id":"https://openalex.org/G6937747919","display_name":null,"funder_award_id":"3072022CF0802","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320323085","display_name":"Natural Science Foundation of Heilongjiang Province","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W2003157621","https://openalex.org/W2007829364","https://openalex.org/W2024754357","https://openalex.org/W2042069995","https://openalex.org/W2122838565","https://openalex.org/W2164390589","https://openalex.org/W2530510227","https://openalex.org/W2548929037","https://openalex.org/W2594151784","https://openalex.org/W2622539679","https://openalex.org/W2769263663","https://openalex.org/W2790255587","https://openalex.org/W2905574772","https://openalex.org/W3010156941","https://openalex.org/W3128584658","https://openalex.org/W3215190097","https://openalex.org/W4205275251","https://openalex.org/W4286361050","https://openalex.org/W4290993855"],"related_works":["https://openalex.org/W1488455774","https://openalex.org/W2058893726","https://openalex.org/W2895660689","https://openalex.org/W2529180920","https://openalex.org/W3128645236","https://openalex.org/W2124861257","https://openalex.org/W2273161060","https://openalex.org/W3126099788","https://openalex.org/W4387831796","https://openalex.org/W2042882013"],"abstract_inverted_index":{"In":[0],"this":[1],"brief,":[2],"we":[3],"propose":[4],"a":[5],"sub-Nyquist":[6,40],"frequency":[7,47,58],"estimation":[8,48],"method,":[9],"which":[10],"aims":[11],"to":[12],"increase":[13],"the":[14,28,46,51,56,70,97,111,118],"instantaneous":[15],"bandwidth":[16],"of":[17,36,53,80,86],"discrete":[18],"Fourier":[19],"transform":[20],"(DFT)":[21],"based":[22,49],"digital":[23],"wideband":[24],"receiver":[25],"and":[26,55,91,104,123],"estimate":[27],"frequencies":[29],"without":[30,64],"ambiguity.":[31],"The":[32],"proposed":[33,119],"method":[34,120],"consists":[35],"two":[37],"parallel":[38],"coprime":[39],"sampling":[41,89],"channels.":[42],"We":[43],"firstly":[44],"address":[45],"on":[50],"outputs":[52],"DFT,":[54],"no-overlapping":[57,98],"components":[59],"(FCs)":[60],"can":[61],"be":[62],"estimated":[63,106],"grid.":[65],"To":[66],"obtain":[67],"gridless":[68],"estimation,":[69],"overlapping":[71],"FCs":[72,99],"are":[73,105],"then":[74],"reformulated":[75],"as":[76],"an":[77],"finite":[78],"rate":[79,85,94],"innovation":[81],"problem":[82],"with":[83,107],"lower":[84],"innovation,":[87],"larger":[88],"interval":[90],"higher":[92],"signal-to-noise":[93],"after":[95],"removing":[96],"via":[100],"partial":[101],"channel":[102],"reconstruction,":[103],"smaller":[108],"errors":[109],"by":[110],"sparse":[112],"samples.":[113],"Numerical":[114],"simulations":[115],"demonstrate":[116],"that":[117],"is":[121],"effective":[122],"noise":[124],"robust.":[125]},"counts_by_year":[],"updated_date":"2025-12-25T23:11:45.687758","created_date":"2025-10-10T00:00:00"}