{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,9]],"date-time":"2026-06-09T03:00:05Z","timestamp":1780974005988,"version":"3.54.1"},"reference-count":16,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,2,1]],"date-time":"2026-02-01T00:00:00Z","timestamp":1769904000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,2,1]],"date-time":"2026-02-01T00:00:00Z","timestamp":1769904000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,2,1]],"date-time":"2026-02-01T00:00:00Z","timestamp":1769904000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,2,1]],"date-time":"2026-02-01T00:00:00Z","timestamp":1769904000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,2,1]],"date-time":"2026-02-01T00:00:00Z","timestamp":1769904000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,2,1]],"date-time":"2026-02-01T00:00:00Z","timestamp":1769904000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,2,1]],"date-time":"2026-02-01T00:00:00Z","timestamp":1769904000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/100008137","name":"Ministry of Natural Resources","doi-asserted-by":"publisher","award":["DGERA20231111"],"award-info":[{"award-number":["DGERA20231111"]}],"id":[{"id":"10.13039\/100008137","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004829","name":"Science and Technology Department of Sichuan Province","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100004829","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100018542","name":"Natural Science Foundation of Sichuan Province","doi-asserted-by":"publisher","award":["2024NSFSC0083"],"award-info":[{"award-number":["2024NSFSC0083"]}],"id":[{"id":"10.13039\/501100018542","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Communications in Nonlinear Science and Numerical Simulation"],"published-print":{"date-parts":[[2026,2]]},"DOI":"10.1016\/j.cnsns.2025.109532","type":"journal-article","created":{"date-parts":[[2025,11,21]],"date-time":"2025-11-21T02:49:56Z","timestamp":1763693396000},"page":"109532","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["On the end effect and end condition methods of empirical mode decomposition with cubic spline"],"prefix":"10.1016","volume":"153","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5233-4844","authenticated-orcid":false,"given":"Maozhi","family":"Wang","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6298-7742","authenticated-orcid":false,"given":"Wenxi","family":"Xu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5929-1074","authenticated-orcid":false,"given":"Shu-Hua","family":"Chen","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8066-5261","authenticated-orcid":false,"given":"Jun","family":"Feng","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"key":"10.1016\/j.cnsns.2025.109532_bib0001","doi-asserted-by":"crossref","first-page":"1309","DOI":"10.1109\/TSP.2010.2097254","article-title":"Turning tangent empirical mode decomposition: a framework for mono- and multivariate signals","volume":"59","author":"Fleureau","year":"2011","journal-title":"IEEE Trans Signal Process"},{"key":"10.1016\/j.cnsns.2025.109532_bib0002","doi-asserted-by":"crossref","first-page":"146","DOI":"10.1016\/j.sigpro.2017.03.019","article-title":"A time varying filter approach for empirical mode decomposition","volume":"138","author":"Li","year":"2017","journal-title":"Signal Process"},{"key":"10.1016\/j.cnsns.2025.109532_bib0003","doi-asserted-by":"crossref","first-page":"108","DOI":"10.1016\/j.ymssp.2012.09.015","article-title":"A review on empirical mode decomposition in fault diagnosis of rotating machinery","volume":"35","author":"Lei","year":"2013","journal-title":"Mech Syst Signal Process"},{"key":"10.1016\/j.cnsns.2025.109532_bib0004","first-page":"112","article-title":"An improved emd method with modified envelope algorithm based on c2 piecewise rational cubic spline interpolation for emi signal decomposition","volume":"335","author":"Li","year":"2018","journal-title":"Appl Math Comput"},{"key":"10.1016\/j.cnsns.2025.109532_bib0005","doi-asserted-by":"crossref","first-page":"903","DOI":"10.1098\/rspa.1998.0193","article-title":"The empirical mode decomposition and the hilbert spectrum for nonlinear and non-stationary time series analysis","volume":"454","author":"Huang","year":"1998","journal-title":"Proc R Soc Lond Ser A: Math, Phys Eng Sci"},{"key":"10.1016\/j.cnsns.2025.109532_bib0006","doi-asserted-by":"crossref","DOI":"10.1016\/j.dsp.2020.102936","article-title":"Eliminating the end effect of empirical mode decomposition using a cubic spline based method","volume":"110","author":"Xu","year":"2021","journal-title":"Digit Signal Process"},{"key":"10.1016\/j.cnsns.2025.109532_bib0007","series-title":"Ieee-eurasip workshop on nonlinear signal and image processing","first-page":"1","author":"Rilling","year":"2003"},{"key":"10.1016\/j.cnsns.2025.109532_bib0008","first-page":"1","article-title":"Practical implementation of hilbert-huang transform algorithm","volume":"22","author":"Huang","year":"2003","journal-title":"Acta Oceanolog Sin"},{"key":"10.1016\/j.cnsns.2025.109532_bib0009","doi-asserted-by":"crossref","first-page":"1783","DOI":"10.1016\/j.oceaneng.2004.03.007","article-title":"Performance and limitations of the hilbert-huang transformation (hht) with an application to irregular water waves","volume":"31","author":"D\u00e4tig","year":"2004","journal-title":"Ocean Eng"},{"key":"10.1016\/j.cnsns.2025.109532_bib0010","doi-asserted-by":"crossref","first-page":"586","DOI":"10.1016\/j.jsv.2008.01.020","article-title":"An improved method for restraining the end effect in empirical mode decomposition and its applications to the fault diagnosis of large rotating machinery","volume":"314","author":"Wu","year":"2008","journal-title":"J Sound Vib"},{"key":"10.1016\/j.cnsns.2025.109532_bib0011","first-page":"323","article-title":"11-Year solar cycle in the stratosphere extracted by the empirical mode decomposition method","volume":"34","author":"Coughlin","year":"2004","journal-title":"Variability Clim Change"},{"key":"10.1016\/j.cnsns.2025.109532_bib0012","series-title":"On the hht, its problems, and some solutions","volume":"vol. 22","author":"Rato","year":"2008"},{"key":"10.1016\/j.cnsns.2025.109532_bib0013","doi-asserted-by":"crossref","first-page":"1197","DOI":"10.1016\/j.ymssp.2005.09.005","article-title":"Application of support vector regression machines to the processing of end effects of hilbert-huang transform","volume":"21","author":"Cheng","year":"2007","journal-title":"Mech Syst Signal Process"},{"key":"10.1016\/j.cnsns.2025.109532_bib0014","doi-asserted-by":"crossref","DOI":"10.1016\/j.oceaneng.2020.107927","article-title":"An emd-svr model for short-term prediction of ship motion using mirror symmetry and svr algorithms to eliminate emd boundary effect","volume":"217","author":"Nie","year":"2020","journal-title":"Ocean Eng"},{"key":"10.1016\/j.cnsns.2025.109532_bib0015","first-page":"14","article-title":"A method for constraining the end effect of emd based on sequential similarity detection and adaptive filter","volume":"37","author":"Wei","year":"2021","journal-title":"J Southeast Univ(English Edition)"},{"key":"10.1016\/j.cnsns.2025.109532_bib0016","series-title":"Numerical Analysis and Scientific Computation","author":"Xue","year":"2011"}],"container-title":["Communications in Nonlinear Science and Numerical Simulation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1007570425009414?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1007570425009414?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,6,9]],"date-time":"2026-06-09T02:41:21Z","timestamp":1780972881000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S1007570425009414"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,2]]},"references-count":16,"alternative-id":["S1007570425009414"],"URL":"https:\/\/doi.org\/10.1016\/j.cnsns.2025.109532","relation":{},"ISSN":["1007-5704"],"issn-type":[{"value":"1007-5704","type":"print"}],"subject":[],"published":{"date-parts":[[2026,2]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"On the end effect and end condition methods of empirical mode decomposition with cubic spline","name":"articletitle","label":"Article Title"},{"value":"Communications in Nonlinear Science and Numerical Simulation","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.cnsns.2025.109532","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2025 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"109532"}}