{"id":"https://openalex.org/W4205389954","doi":"https://doi.org/10.1109/tii.2021.3132334","title":"Ramanujan Fourier Mode Decomposition and Its Application in Gear Fault Diagnosis","display_name":"Ramanujan Fourier Mode Decomposition and Its Application in Gear Fault Diagnosis","publication_year":2021,"publication_date":"2021-12-03","ids":{"openalex":"https://openalex.org/W4205389954","doi":"https://doi.org/10.1109/tii.2021.3132334"},"language":"en","primary_location":{"id":"doi:10.1109/tii.2021.3132334","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tii.2021.3132334","pdf_url":null,"source":{"id":"https://openalex.org/S184777250","display_name":"IEEE Transactions on Industrial Informatics","issn_l":"1551-3203","issn":["1551-3203","1941-0050"],"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 Industrial Informatics","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/A5035740532","display_name":"Jian Cheng","orcid":"https://orcid.org/0000-0001-7323-341X"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jian Cheng","raw_affiliation_strings":["College of Mechanical and Vehicle Engineering, Hunan University, Changsha, China"],"affiliations":[{"raw_affiliation_string":"College of Mechanical and Vehicle Engineering, Hunan University, Changsha, China","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100342259","display_name":"Yu Yang","orcid":"https://orcid.org/0000-0001-9113-6023"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu Yang","raw_affiliation_strings":["College of Mechanical and Vehicle Engineering, Hunan University, Changsha, China"],"affiliations":[{"raw_affiliation_string":"College of Mechanical and Vehicle Engineering, Hunan University, Changsha, China","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101650735","display_name":"Zhantao Wu","orcid":"https://orcid.org/0000-0002-3519-0161"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhantao Wu","raw_affiliation_strings":["College of Mechanical and Vehicle Engineering, Hunan University, Changsha, China"],"affiliations":[{"raw_affiliation_string":"College of Mechanical and Vehicle Engineering, Hunan University, Changsha, China","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052658396","display_name":"Haidong Shao","orcid":"https://orcid.org/0000-0002-8018-1774"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haidong Shao","raw_affiliation_strings":["College of Mechanical and Vehicle Engineering, Hunan University, Changsha, China"],"affiliations":[{"raw_affiliation_string":"College of Mechanical and Vehicle Engineering, Hunan University, Changsha, China","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065674932","display_name":"Haiyang Pan","orcid":"https://orcid.org/0000-0001-9868-8154"},"institutions":[{"id":"https://openalex.org/I92178344","display_name":"Anhui University of Technology","ror":"https://ror.org/02qdtrq21","country_code":"CN","type":"education","lineage":["https://openalex.org/I92178344"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haiyang Pan","raw_affiliation_strings":["School of Mechanical Engineering, Anhui University of Technology, Ma'anshan, China"],"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering, Anhui University of Technology, Ma'anshan, China","institution_ids":["https://openalex.org/I92178344"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102766415","display_name":"Junsheng Cheng","orcid":"https://orcid.org/0000-0003-0135-5340"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junsheng Cheng","raw_affiliation_strings":["College of Mechanical and Vehicle Engineering, Hunan University, Changsha, China"],"affiliations":[{"raw_affiliation_string":"College of Mechanical and Vehicle Engineering, Hunan University, Changsha, China","institution_ids":["https://openalex.org/I16609230"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5035740532"],"corresponding_institution_ids":["https://openalex.org/I16609230"],"apc_list":null,"apc_paid":null,"fwci":2.272,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.89400883,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"18","issue":"9","first_page":"6079","last_page":"6088"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12254","display_name":"Machine Learning in Bioinformatics","score":0.9886999726295471,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T12254","display_name":"Machine Learning in Bioinformatics","score":0.9886999726295471,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10640","display_name":"Spectroscopy and Chemometric Analyses","score":0.9692999720573425,"subfield":{"id":"https://openalex.org/subfields/1602","display_name":"Analytical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10044","display_name":"Protein Structure and Dynamics","score":0.9670000076293945,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.7625782489776611},{"id":"https://openalex.org/keywords/ramanujans-sum","display_name":"Ramanujan's sum","score":0.602973997592926},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.543587863445282},{"id":"https://openalex.org/keywords/fault","display_name":"Fault (geology)","score":0.5099712610244751},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4942183792591095},{"id":"https://openalex.org/keywords/hilbert\u2013huang-transform","display_name":"Hilbert\u2013Huang transform","score":0.47302722930908203},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47023481130599976},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4156609773635864},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41348570585250854},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.38916289806365967},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.28327691555023193},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2472229301929474},{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.14001622796058655},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09269562363624573},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.08912128210067749},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.0710378885269165}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7625782489776611},{"id":"https://openalex.org/C131220774","wikidata":"https://www.wikidata.org/wiki/Q1441456","display_name":"Ramanujan's sum","level":2,"score":0.602973997592926},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.543587863445282},{"id":"https://openalex.org/C175551986","wikidata":"https://www.wikidata.org/wiki/Q47089","display_name":"Fault (geology)","level":2,"score":0.5099712610244751},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4942183792591095},{"id":"https://openalex.org/C25570617","wikidata":"https://www.wikidata.org/wiki/Q1006462","display_name":"Hilbert\u2013Huang transform","level":3,"score":0.47302722930908203},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47023481130599976},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4156609773635864},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41348570585250854},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.38916289806365967},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.28327691555023193},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2472229301929474},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.14001622796058655},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09269562363624573},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.08912128210067749},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0710378885269165},{"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","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/C165205528","wikidata":"https://www.wikidata.org/wiki/Q83371","display_name":"Seismology","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tii.2021.3132334","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tii.2021.3132334","pdf_url":null,"source":{"id":"https://openalex.org/S184777250","display_name":"IEEE Transactions on Industrial Informatics","issn_l":"1551-3203","issn":["1551-3203","1941-0050"],"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 Industrial Informatics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2214285366","display_name":null,"funder_award_id":"51975193","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G248872031","display_name":null,"funder_award_id":"51875183","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1992905402","https://openalex.org/W2058687912","https://openalex.org/W2098433935","https://openalex.org/W2184047837","https://openalex.org/W2763524503","https://openalex.org/W2763603848","https://openalex.org/W2766296718","https://openalex.org/W2790257930","https://openalex.org/W2810188680","https://openalex.org/W2902836759","https://openalex.org/W2911190781","https://openalex.org/W2953500975","https://openalex.org/W2958872067","https://openalex.org/W2965813890","https://openalex.org/W2995682324","https://openalex.org/W2998318059","https://openalex.org/W3005297001","https://openalex.org/W3028664481","https://openalex.org/W3063403890","https://openalex.org/W3082465534","https://openalex.org/W3094224694","https://openalex.org/W3128753833","https://openalex.org/W3137329082","https://openalex.org/W3142420316","https://openalex.org/W3148962243","https://openalex.org/W3149994345","https://openalex.org/W3158773915","https://openalex.org/W3175525782","https://openalex.org/W3177540732","https://openalex.org/W3182805823"],"related_works":["https://openalex.org/W4232537912","https://openalex.org/W957841636","https://openalex.org/W3014107421","https://openalex.org/W2081563414","https://openalex.org/W2363056446","https://openalex.org/W2359718298","https://openalex.org/W2377062149","https://openalex.org/W3168862451","https://openalex.org/W2076661204","https://openalex.org/W1919019022"],"abstract_inverted_index":{"As":[0],"an":[1,75,111],"important":[2],"part":[3],"of":[4,44,88],"rotating":[5],"machinery,":[6],"gear":[7,32,104,113],"is":[8,20,27,60,110],"easy":[9],"to":[10,78],"appear":[11],"some":[12],"unexpected":[13],"fault":[14,18,33,105,114],"states,":[15],"and":[16,41,80,85,100],"its":[17],"diagnosis":[19,115],"very":[21],"important.":[22],"Fourier":[23,55],"decomposition":[24,57],"method":[25,30,59,95],"(FDM)":[26],"a":[28,67],"common":[29],"for":[31],"diagnosis,":[34],"but":[35,72],"the":[36,93],"noise":[37,98],"robustness,":[38],"period":[39],"recognition,":[40],"extraction":[42],"capabilities":[43],"FDM":[45],"are":[46],"unsatisfactory.":[47],"Based":[48],"on":[49],"this,":[50],"in":[51],"this":[52],"article,":[53],"Ramanujan":[54],"mode":[56],"(RFMD)":[58],"proposed.":[61],"The":[62],"RFMD":[63,94],"not":[64],"only":[65],"has":[66,74,96],"complete":[68],"mathematical":[69],"theory":[70],"foundation":[71],"also":[73],"excellent":[76],"ability":[77],"identify":[79],"extract":[81,103],"periodic":[82],"components.":[83],"Emulational":[84],"experimental":[86],"results":[87],"planetary":[89],"gearbox":[90],"show":[91],"that":[92],"good":[97],"robustness":[99],"can":[101],"accurately":[102],"characteristic":[106],"information.":[107],"Thus,":[108],"it":[109],"effective":[112],"method.":[116]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":14},{"year":2023,"cited_by_count":13},{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}