{"id":"https://openalex.org/W2007171804","doi":"https://doi.org/10.1142/s0219691304000652","title":"MULTIVARIATE SPECTRAL ANALYSIS USING HILBERT WAVELET PAIRS","display_name":"MULTIVARIATE SPECTRAL ANALYSIS USING HILBERT WAVELET PAIRS","publication_year":2004,"publication_date":"2004-12-01","ids":{"openalex":"https://openalex.org/W2007171804","doi":"https://doi.org/10.1142/s0219691304000652","mag":"2007171804"},"language":"en","primary_location":{"id":"doi:10.1142/s0219691304000652","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691304000652","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Wavelets, Multiresolution and Information Processing","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/A5014958681","display_name":"Brandon Whitcher","orcid":"https://orcid.org/0000-0002-6452-2399"},"institutions":[{"id":"https://openalex.org/I107766831","display_name":"NSF National Center for Atmospheric Research","ror":"https://ror.org/05cvfcr44","country_code":"US","type":"facility","lineage":["https://openalex.org/I107766831","https://openalex.org/I1311060795","https://openalex.org/I2799356940","https://openalex.org/I4210141337","https://openalex.org/I4210150888"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"BRANDON WHITCHER","raw_affiliation_strings":["Geophysical Statistics Project, National Center for Atmospheric Research, P.O. Box 3000, Boulder, Colorado 80307-3000, United States"],"affiliations":[{"raw_affiliation_string":"Geophysical Statistics Project, National Center for Atmospheric Research, P.O. Box 3000, Boulder, Colorado 80307-3000, United States","institution_ids":["https://openalex.org/I107766831"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040379510","display_name":"Peter F. Craigmile","orcid":"https://orcid.org/0000-0002-9212-3950"},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"PETER F. CRAIGMILE","raw_affiliation_strings":["Department of Statistics, The Ohio State University, 1958 Neil Avenue, Cockins Hall, Room 404, Columbus, Ohio 43210-1247, United States"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, The Ohio State University, 1958 Neil Avenue, Cockins Hall, Room 404, Columbus, Ohio 43210-1247, United States","institution_ids":["https://openalex.org/I52357470"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5014958681"],"corresponding_institution_ids":["https://openalex.org/I107766831"],"apc_list":null,"apc_paid":null,"fwci":1.0187,"has_fulltext":false,"cited_by_count":39,"citation_normalized_percentile":{"value":0.76169852,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"02","issue":"04","first_page":"567","last_page":"587"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10466","display_name":"Meteorological Phenomena and Simulations","score":0.9922999739646912,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10466","display_name":"Meteorological Phenomena and Simulations","score":0.9922999739646912,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9909999966621399,"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/T11757","display_name":"Seismic Waves and Analysis","score":0.988099992275238,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.8073691725730896},{"id":"https://openalex.org/keywords/hilbert-spectral-analysis","display_name":"Hilbert spectral analysis","score":0.7959475517272949},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6768301725387573},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.626929759979248},{"id":"https://openalex.org/keywords/hilbert-transform","display_name":"Hilbert transform","score":0.5630108118057251},{"id":"https://openalex.org/keywords/bivariate-analysis","display_name":"Bivariate analysis","score":0.5365628600120544},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.5021631717681885},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.4509042799472809},{"id":"https://openalex.org/keywords/stationary-wavelet-transform","display_name":"Stationary wavelet transform","score":0.411678284406662},{"id":"https://openalex.org/keywords/spectral-density","display_name":"Spectral density","score":0.4036313593387604},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33222198486328125},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20071861147880554},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.19086110591888428},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.133561909198761},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.07695251703262329}],"concepts":[{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.8073691725730896},{"id":"https://openalex.org/C207659853","wikidata":"https://www.wikidata.org/wiki/Q5761228","display_name":"Hilbert spectral analysis","level":4,"score":0.7959475517272949},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6768301725387573},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.626929759979248},{"id":"https://openalex.org/C28799612","wikidata":"https://www.wikidata.org/wiki/Q685437","display_name":"Hilbert transform","level":3,"score":0.5630108118057251},{"id":"https://openalex.org/C64341305","wikidata":"https://www.wikidata.org/wiki/Q4919225","display_name":"Bivariate analysis","level":2,"score":0.5365628600120544},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.5021631717681885},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4509042799472809},{"id":"https://openalex.org/C73339587","wikidata":"https://www.wikidata.org/wiki/Q1375942","display_name":"Stationary wavelet transform","level":5,"score":0.411678284406662},{"id":"https://openalex.org/C168110828","wikidata":"https://www.wikidata.org/wiki/Q1331626","display_name":"Spectral density","level":2,"score":0.4036313593387604},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33222198486328125},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20071861147880554},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19086110591888428},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.133561909198761},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.07695251703262329},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0219691304000652","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691304000652","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Wavelets, Multiresolution and Information Processing","raw_type":"journal-article"},{"id":"pmh:oai:eprints.gla.ac.uk:68930","is_oa":false,"landing_page_url":"http://eprints.gla.ac.uk/68930/","pdf_url":null,"source":{"id":"https://openalex.org/S4210235606","display_name":"ENLIGHTEN (Jurnal Bimbingan dan Konseling Islam)","issn_l":"2622-8912","issn":["2622-8912","2622-8920"],"is_oa":false,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Articles"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life below water","score":0.699999988079071,"id":"https://metadata.un.org/sdg/14"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1604810369","https://openalex.org/W1672819356","https://openalex.org/W1966760175","https://openalex.org/W1966814217","https://openalex.org/W1979777051","https://openalex.org/W2007221293","https://openalex.org/W2020061675","https://openalex.org/W2034139177","https://openalex.org/W2044998255","https://openalex.org/W2056306993","https://openalex.org/W2100921845","https://openalex.org/W2110129741","https://openalex.org/W2123664929","https://openalex.org/W2154725633","https://openalex.org/W2156447271","https://openalex.org/W2337490104","https://openalex.org/W4214551821","https://openalex.org/W4237099064","https://openalex.org/W4255272544","https://openalex.org/W4292963524","https://openalex.org/W4298352105","https://openalex.org/W4405349721"],"related_works":["https://openalex.org/W3117098581","https://openalex.org/W2393765384","https://openalex.org/W1889651196","https://openalex.org/W2085792030","https://openalex.org/W2064337902","https://openalex.org/W1918078477","https://openalex.org/W4233635293","https://openalex.org/W2028810851","https://openalex.org/W4249722514","https://openalex.org/W2181522976"],"abstract_inverted_index":{"We":[0],"investigate":[1],"the":[2,10,16,41,46,52,74,79,88],"use":[3],"of":[4,20,26,45,55,73,104],"Hilbert":[5,42],"wavelet":[6,13,75,91],"pairs":[7],"(HWPs)":[8],"in":[9,51,66],"non-decimated":[11],"discrete":[12,90],"transform":[14,43],"for":[15],"time-varying":[17],"spectral":[18,53],"analysis":[19,54],"multivariate":[21],"time":[22,56,68,102],"series.":[23],"HWPs":[24],"consist":[25],"two":[27,30],"high-pass":[28,38],"and":[29,69,107],"low-pass":[31],"compactly":[32],"supported":[33],"filters,":[34],"such":[35],"that":[36,78],"one":[37],"filter":[39],"is":[40,96],"(approximately)":[44],"other.":[47],"Thus,":[48],"common":[49],"quantities":[50],"series":[57,103],"(e.g.,":[58],"power":[59],"spectrum,":[60],"coherence,":[61],"phase)":[62],"may":[63],"be":[64,83],"estimated":[65],"both":[67],"frequency.":[70],"Compact":[71],"support":[72],"filters":[76],"ensures":[77],"frequency":[80],"axis":[81],"will":[82],"partitioned":[84],"dyadically":[85],"as":[86],"with":[87],"usual":[89],"transform.":[92],"The":[93],"proposed":[94],"methodology":[95],"used":[97],"to":[98],"analyze":[99],"a":[100],"bivariate":[101],"zonal":[105],"(u)":[106],"meridional":[108],"(v)":[109],"winds":[110],"over":[111],"Truk":[112],"Island.":[113]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}