{"id":"https://openalex.org/W2109806355","doi":"https://doi.org/10.1109/icassp.2014.6854630","title":"2D Hilbert-Huang Transform","display_name":"2D Hilbert-Huang Transform","publication_year":2014,"publication_date":"2014-05-01","ids":{"openalex":"https://openalex.org/W2109806355","doi":"https://doi.org/10.1109/icassp.2014.6854630","mag":"2109806355"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2014.6854630","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2014.6854630","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5113943946","display_name":"J\u00e9r\u00e9my Schmitt","orcid":null},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jeremy Schmitt","raw_affiliation_strings":["Laboratoire de Physique, CNRS and Universit\u00e9 de Lyon, France","Lab. de Phys., Univ. de Lyon, Lyon, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Physique, CNRS and Universit\u00e9 de Lyon, France","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Lab. de Phys., Univ. de Lyon, Lyon, France","institution_ids":["https://openalex.org/I100532134"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074166239","display_name":"Nelly Pustelnik","orcid":"https://orcid.org/0000-0001-7310-1927"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Nelly Pustelnik","raw_affiliation_strings":["Laboratoire de Physique, CNRS and Universit\u00e9 de Lyon, France","Lab. de Phys., Univ. de Lyon, Lyon, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Physique, CNRS and Universit\u00e9 de Lyon, France","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Lab. de Phys., Univ. de Lyon, Lyon, France","institution_ids":["https://openalex.org/I100532134"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042411664","display_name":"Pierre Borgnat","orcid":"https://orcid.org/0000-0003-4536-8354"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pierre Borgnat","raw_affiliation_strings":["Laboratoire de Physique, CNRS and Universit\u00e9 de Lyon, France","Lab. de Phys., Univ. de Lyon, Lyon, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Physique, CNRS and Universit\u00e9 de Lyon, France","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Lab. de Phys., Univ. de Lyon, Lyon, France","institution_ids":["https://openalex.org/I100532134"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054988467","display_name":"Patrick Flandrin","orcid":"https://orcid.org/0000-0003-2846-6200"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Patrick Flandrin","raw_affiliation_strings":["Laboratoire de Physique, CNRS and Universit\u00e9 de Lyon, France","Lab. de Phys., Univ. de Lyon, Lyon, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Physique, CNRS and Universit\u00e9 de Lyon, France","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Lab. de Phys., Univ. de Lyon, Lyon, France","institution_ids":["https://openalex.org/I100532134"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"5377","last_page":"5381"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10220","display_name":"Machine Fault Diagnosis Techniques","score":0.9990000128746033,"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/T10220","display_name":"Machine Fault Diagnosis Techniques","score":0.9990000128746033,"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9951000213623047,"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/hilbert\u2013huang-transform","display_name":"Hilbert\u2013Huang transform","score":0.9764943718910217},{"id":"https://openalex.org/keywords/hilbert-spectral-analysis","display_name":"Hilbert spectral analysis","score":0.8702597618103027},{"id":"https://openalex.org/keywords/hilbert-transform","display_name":"Hilbert transform","score":0.7375087141990662},{"id":"https://openalex.org/keywords/instantaneous-phase","display_name":"Instantaneous phase","score":0.6860252618789673},{"id":"https://openalex.org/keywords/transposition","display_name":"Transposition (logic)","score":0.5186576247215271},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49583372473716736},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4943559169769287},{"id":"https://openalex.org/keywords/time\u2013frequency-analysis","display_name":"Time\u2013frequency analysis","score":0.4837910830974579},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.4773999750614166},{"id":"https://openalex.org/keywords/s-transform","display_name":"S transform","score":0.4659372866153717},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.4497133493423462},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.41840240359306335},{"id":"https://openalex.org/keywords/analytic-signal","display_name":"Analytic signal","score":0.41386204957962036},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3765687346458435},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.3730999231338501},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36520373821258545},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24352702498435974},{"id":"https://openalex.org/keywords/spectral-density","display_name":"Spectral density","score":0.17536988854408264},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.1649882197380066},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1489059329032898},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.10236537456512451},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.08855637907981873},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0658184289932251}],"concepts":[{"id":"https://openalex.org/C25570617","wikidata":"https://www.wikidata.org/wiki/Q1006462","display_name":"Hilbert\u2013Huang transform","level":3,"score":0.9764943718910217},{"id":"https://openalex.org/C207659853","wikidata":"https://www.wikidata.org/wiki/Q5761228","display_name":"Hilbert spectral analysis","level":4,"score":0.8702597618103027},{"id":"https://openalex.org/C28799612","wikidata":"https://www.wikidata.org/wiki/Q685437","display_name":"Hilbert transform","level":3,"score":0.7375087141990662},{"id":"https://openalex.org/C137798554","wikidata":"https://www.wikidata.org/wiki/Q6038852","display_name":"Instantaneous phase","level":3,"score":0.6860252618789673},{"id":"https://openalex.org/C12455157","wikidata":"https://www.wikidata.org/wiki/Q7835331","display_name":"Transposition (logic)","level":2,"score":0.5186576247215271},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49583372473716736},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4943559169769287},{"id":"https://openalex.org/C142433447","wikidata":"https://www.wikidata.org/wiki/Q7806653","display_name":"Time\u2013frequency analysis","level":3,"score":0.4837910830974579},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.4773999750614166},{"id":"https://openalex.org/C99234102","wikidata":"https://www.wikidata.org/wiki/Q7395403","display_name":"S transform","level":5,"score":0.4659372866153717},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.4497133493423462},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.41840240359306335},{"id":"https://openalex.org/C94727143","wikidata":"https://www.wikidata.org/wiki/Q485394","display_name":"Analytic signal","level":4,"score":0.41386204957962036},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3765687346458435},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.3730999231338501},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36520373821258545},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24352702498435974},{"id":"https://openalex.org/C168110828","wikidata":"https://www.wikidata.org/wiki/Q1331626","display_name":"Spectral density","level":2,"score":0.17536988854408264},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.1649882197380066},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1489059329032898},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.10236537456512451},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.08855637907981873},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0658184289932251},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.0},{"id":"https://openalex.org/C155777637","wikidata":"https://www.wikidata.org/wiki/Q2736187","display_name":"Wavelet packet decomposition","level":4,"score":0.0},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.0},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.0},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.2014.6854630","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2014.6854630","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1946620893","https://openalex.org/W1976836781","https://openalex.org/W1986831525","https://openalex.org/W1986931034","https://openalex.org/W1998991750","https://openalex.org/W2007221293","https://openalex.org/W2032750613","https://openalex.org/W2040378863","https://openalex.org/W2050839927","https://openalex.org/W2056558082","https://openalex.org/W2059362636","https://openalex.org/W2061061585","https://openalex.org/W2062429396","https://openalex.org/W2081584380","https://openalex.org/W2086816085","https://openalex.org/W2088202114","https://openalex.org/W2118236573","https://openalex.org/W2119589101","https://openalex.org/W2122470043","https://openalex.org/W2134429331","https://openalex.org/W2142531881","https://openalex.org/W2150072852","https://openalex.org/W2159619643","https://openalex.org/W2160724632","https://openalex.org/W2644894325","https://openalex.org/W4404342705","https://openalex.org/W6640435808","https://openalex.org/W6683720292","https://openalex.org/W6873964844"],"related_works":["https://openalex.org/W2166741655","https://openalex.org/W2393765384","https://openalex.org/W2510692285","https://openalex.org/W2028497691","https://openalex.org/W2349652637","https://openalex.org/W2075420061","https://openalex.org/W2364678610","https://openalex.org/W3159569091","https://openalex.org/W2370187152","https://openalex.org/W1605622899"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,73,92],"2D":[4,75,93],"transposition":[5,94],"of":[6,23,95],"the":[7,57,68,86],"Hilbert-Huang":[8],"Transform":[9],"(HHT),":[10],"an":[11,32,43],"empirical":[12],"data":[13],"analysis":[14,55,98],"method":[15,47,78],"designed":[16],"for":[17,85],"studying":[18],"instantaneous":[19,87,110],"amplitudes":[20,64],"and":[21,49,65,106,113],"phases":[22],"non-stationary":[24],"data.":[25,122],"The":[26,115],"principle":[27],"is":[28,118],"to":[29,51,61,108],"adaptively":[30],"decompose":[31],"image":[33],"into":[34],"oscillating":[35],"parts":[36],"called":[37,99],"Intrinsic":[38],"Mode":[39,45],"Functions":[40],"(IMFs)":[41],"using":[42],"Empirical":[44],"Decomposition":[46],"(EMD),":[48],"then":[50],"perform":[52],"Hilbert":[53,96],"spectral":[54,88,97],"on":[56,80,103,120],"IMFs":[58],"in":[59],"order":[60],"recover":[62],"local":[63],"phases.":[66],"For":[67],"decomposition":[69,77],"step,":[70],"we":[71,90],"propose":[72],"new":[74],"mode":[76],"based":[79,102],"non-smooth":[81],"convex":[82],"optimization,":[83],"while":[84],"analysis,":[89,101],"use":[91],"monogenic":[100],"Riesz":[104],"transform":[105],"allowing":[107],"extract":[109],"amplitudes,":[111],"phases,":[112],"orientations.":[114],"resulting":[116],"2D-HHT":[117],"validated":[119],"simulated":[121]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}