{"id":"https://openalex.org/W4205702523","doi":"https://doi.org/10.1109/tim.2021.3133312","title":"Acoustic Mode Measuring Approach Developed on Generalized Minimax-Concave Regularization and Tikhonov Regularization","display_name":"Acoustic Mode Measuring Approach Developed on Generalized Minimax-Concave Regularization and Tikhonov Regularization","publication_year":2021,"publication_date":"2021-12-06","ids":{"openalex":"https://openalex.org/W4205702523","doi":"https://doi.org/10.1109/tim.2021.3133312"},"language":"en","primary_location":{"id":"doi:10.1109/tim.2021.3133312","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tim.2021.3133312","pdf_url":null,"source":{"id":"https://openalex.org/S10892749","display_name":"IEEE Transactions on Instrumentation and Measurement","issn_l":"0018-9456","issn":["0018-9456","1557-9662"],"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 Instrumentation and Measurement","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/A5100711428","display_name":"Zepeng Li","orcid":"https://orcid.org/0000-0003-2999-9615"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zepeng Li","raw_affiliation_strings":["State Key Laboratory for Manufacturing Systems Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","State Key Laboratory for Manufacturing Systems Engineering, Xi'an Jiaotong University, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0003-2999-9615","affiliations":[{"raw_affiliation_string":"State Key Laboratory for Manufacturing Systems Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"State Key Laboratory for Manufacturing Systems Engineering, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002722139","display_name":"Baijie Qiao","orcid":"https://orcid.org/0000-0003-1883-0523"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Baijie Qiao","raw_affiliation_strings":["State Key Laboratory for Manufacturing Systems Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","State Key Laboratory for Manufacturing Systems Engineering, Xi'an Jiaotong University, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0003-1883-0523","affiliations":[{"raw_affiliation_string":"State Key Laboratory for Manufacturing Systems Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"State Key Laboratory for Manufacturing Systems Engineering, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048168852","display_name":"Bi Wen","orcid":"https://orcid.org/0000-0002-1517-6151"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bi Wen","raw_affiliation_strings":["Science and Technology on Altitude Simulation Laboratory, Mianyang, China","State Key Laboratory for Manufacturing Systems Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","State Key Laboratory for Manufacturing Systems Engineering, Xi'an Jiaotong University, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0002-1517-6151","affiliations":[{"raw_affiliation_string":"Science and Technology on Altitude Simulation Laboratory, Mianyang, China","institution_ids":[]},{"raw_affiliation_string":"State Key Laboratory for Manufacturing Systems Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"State Key Laboratory for Manufacturing Systems Engineering, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012746793","display_name":"Yanan Wang","orcid":"https://orcid.org/0000-0002-9444-1389"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanan Wang","raw_affiliation_strings":["State Key Laboratory for Manufacturing Systems Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","State Key Laboratory for Manufacturing Systems Engineering, Xi'an Jiaotong University, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0002-9444-1389","affiliations":[{"raw_affiliation_string":"State Key Laboratory for Manufacturing Systems Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"State Key Laboratory for Manufacturing Systems Engineering, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100779843","display_name":"Xuefeng Chen","orcid":"https://orcid.org/0000-0002-0130-3172"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuefeng Chen","raw_affiliation_strings":["State Key Laboratory for Manufacturing Systems Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","State Key Laboratory for Manufacturing Systems Engineering, Xi'an Jiaotong University, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0002-0130-3172","affiliations":[{"raw_affiliation_string":"State Key Laboratory for Manufacturing Systems Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"State Key Laboratory for Manufacturing Systems Engineering, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100711428"],"corresponding_institution_ids":["https://openalex.org/I87445476"],"apc_list":null,"apc_paid":null,"fwci":1.6026,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.81849922,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"71","issue":null,"first_page":"1","last_page":"11"},"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9994000196456909,"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/T11008","display_name":"Aerodynamics and Acoustics in Jet Flows","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/tikhonov-regularization","display_name":"Tikhonov regularization","score":0.8859355449676514},{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.6841657161712646},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.6167868375778198},{"id":"https://openalex.org/keywords/duct","display_name":"Duct (anatomy)","score":0.5623267292976379},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5130273103713989},{"id":"https://openalex.org/keywords/azimuth","display_name":"Azimuth","score":0.5000920295715332},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42618560791015625},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41765716671943665},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.41459259390830994},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.3911953866481781},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3846401274204254},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38277482986450195},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3491785228252411},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3008005619049072},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19314339756965637},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15450194478034973},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15119194984436035}],"concepts":[{"id":"https://openalex.org/C152442038","wikidata":"https://www.wikidata.org/wiki/Q2778212","display_name":"Tikhonov regularization","level":3,"score":0.8859355449676514},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.6841657161712646},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.6167868375778198},{"id":"https://openalex.org/C2781212128","wikidata":"https://www.wikidata.org/wiki/Q2256181","display_name":"Duct (anatomy)","level":2,"score":0.5623267292976379},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5130273103713989},{"id":"https://openalex.org/C159737794","wikidata":"https://www.wikidata.org/wiki/Q124274","display_name":"Azimuth","level":2,"score":0.5000920295715332},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42618560791015625},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41765716671943665},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.41459259390830994},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.3911953866481781},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3846401274204254},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38277482986450195},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3491785228252411},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3008005619049072},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19314339756965637},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15450194478034973},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15119194984436035},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tim.2021.3133312","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tim.2021.3133312","pdf_url":null,"source":{"id":"https://openalex.org/S10892749","display_name":"IEEE Transactions on Instrumentation and Measurement","issn_l":"0018-9456","issn":["0018-9456","1557-9662"],"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 Instrumentation and Measurement","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2312200905","display_name":null,"funder_award_id":"52075414","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3196895016","display_name":null,"funder_award_id":"2021M702595","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W624919731","https://openalex.org/W1485630731","https://openalex.org/W1970166607","https://openalex.org/W2004544971","https://openalex.org/W2015644425","https://openalex.org/W2017488472","https://openalex.org/W2028328787","https://openalex.org/W2031535273","https://openalex.org/W2043359638","https://openalex.org/W2056201402","https://openalex.org/W2086667628","https://openalex.org/W2094917178","https://openalex.org/W2098635399","https://openalex.org/W2107861471","https://openalex.org/W2119667497","https://openalex.org/W2126204188","https://openalex.org/W2145096794","https://openalex.org/W2295208928","https://openalex.org/W2315647581","https://openalex.org/W2333098113","https://openalex.org/W2335344565","https://openalex.org/W2404464038","https://openalex.org/W2588776893","https://openalex.org/W2620850570","https://openalex.org/W2621253282","https://openalex.org/W2773173710","https://openalex.org/W2784141614","https://openalex.org/W2790356054","https://openalex.org/W2791989385","https://openalex.org/W2842474202","https://openalex.org/W2883992275","https://openalex.org/W2907887292","https://openalex.org/W2934580599","https://openalex.org/W2945173064","https://openalex.org/W3023666632","https://openalex.org/W3031833998","https://openalex.org/W3037453603","https://openalex.org/W3040018885","https://openalex.org/W3164013269","https://openalex.org/W3175374185","https://openalex.org/W3200344421","https://openalex.org/W4238744307","https://openalex.org/W4250955649","https://openalex.org/W6680894345","https://openalex.org/W6758222339"],"related_works":["https://openalex.org/W2749105521","https://openalex.org/W2360343897","https://openalex.org/W140737605","https://openalex.org/W2564453433","https://openalex.org/W3188213007","https://openalex.org/W2374214022","https://openalex.org/W1947575127","https://openalex.org/W2029137001","https://openalex.org/W376746440","https://openalex.org/W2366850074"],"abstract_inverted_index":{"Investigations":[0],"on":[1,44,146],"the":[2,7,18,24,28,35,45,60,66,93,97,107,123,127,134,141,163,167,174,187,190],"acoustic":[3],"modes":[4],"generated":[5],"by":[6,173],"ducted":[8],"fan":[9,150],"can":[10,71,100],"provide":[11],"indispensable":[12],"guidance":[13],"for":[14],"active":[15],"control":[16],"of":[17,27,62,140,162,184,189],"aero-engine":[19,149],"noise.":[20],"To":[21,104],"achieve":[22],"this,":[23],"circumferential":[25],"pressure":[26],"duct":[29,46],"needs":[30],"to":[31,53,91,121,132],"be":[32,72,101,105],"measured.":[33],"However,":[34],"direct":[36],"way,":[37],"mounting":[38],"a":[39,54,147],"full":[40],"sensor":[41],"array":[42],"(FSA)":[43],"wall,":[47],"requires":[48],"numerous":[49],"microphones":[50,77],"and":[51,181],"leads":[52],"highly":[55],"complex":[56],"measuring":[57,94,98],"system.":[58],"With":[59],"introduction":[61],"compressive":[63],"sampling":[64],"(CS),":[65],"azimuthal":[67],"mode":[68,179],"analysis":[69],"(AMA)":[70],"conducted":[73],"with":[74,155,177],"much":[75],"fewer":[76],"than":[78],"FSA.":[79],"In":[80],"this":[81],"article,":[82],"an":[83],"improved":[84,178],"CS-based":[85,169],"AMA":[86],"(ICSAMA)":[87],"approach":[88,143,165,192],"is":[89,119,130,144,193,197],"developed":[90],"promote":[92],"accuracy":[95,180],"while":[96],"system":[99],"further":[102],"simplified.":[103],"specific,":[106],"<inline-formula":[108],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[109],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[110],"<tex-math":[111],"notation=\"LaTeX\">$k$":[112],"</tex-math></inline-formula>":[113],"-sparsity-constrained":[114],"generalized":[115],"minimax-concave":[116],"(GMC)":[117],"regularization":[118,129],"adopted":[120],"estimate":[122,133],"Tyler\u2013Sofrin":[124],"modes;":[125],"meanwhile":[126],"Tikhonov":[128],"employed":[131],"rest":[135],"nondominant":[136],"modes.":[137],"The":[138],"effectiveness":[139],"proposed":[142,164],"verified":[145],"2.5-stage":[148],"rig,":[151],"where":[152],"two":[153],"cases":[154],"different":[156],"rotational":[157],"speeds":[158],"are":[159,171],"conducted.":[160],"Advantages":[161],"over":[166],"classical":[168],"one":[170],"demonstrated":[172],"experimental":[175],"results":[176],"reduced":[182],"numbers":[183],"microphones.":[185],"Furthermore,":[186],"robustness":[188],"ICSAMA":[191],"also":[194],"indicated,":[195],"which":[196],"apparently":[198],"desired":[199],"in":[200],"practical":[201],"engineering.":[202]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}