{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,9]],"date-time":"2026-05-09T07:59:16Z","timestamp":1778313556546,"version":"3.51.4"},"reference-count":32,"publisher":"Institution of Engineering and Technology (IET)","issue":"1","license":[{"start":{"date-parts":[[2024,8,27]],"date-time":"2024-08-27T00:00:00Z","timestamp":1724716800000},"content-version":"vor","delay-in-days":239,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100020205","name":"Health Commission of Jiangxi Province","doi-asserted-by":"publisher","award":["202211976"],"award-info":[{"award-number":["202211976"]}],"id":[{"id":"10.13039\/501100020205","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100019037","name":"Key Science and Technology Research Project in Jiangxi Province Department of Education","doi-asserted-by":"publisher","award":["GJJ2201906"],"award-info":[{"award-number":["GJJ2201906"]}],"id":[{"id":"10.13039\/501100019037","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["ietresearch.onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["IET Signal Processing"],"published-print":{"date-parts":[[2024,1]]},"abstract":"<jats:p>\n                    Mechanical fault vibration signal is a typical non\u2010Gaussian process, they can be characterized by the infinite variance process, and the noise within these signals may also be the process in complex environments. The performance of the traditional cross\u2010term reduction algorithm is compromised, sometimes yielding incorrect results under the infinite variance process environment. Several robust fractional lower order time\u2013frequency representation methods are proposed including fractional low\u2010order smoothed pseudo Wigner (FLOSPW), fractional low\u2010order multi\u2010windowed short\u2010time Fourier transform (FLOMWSTFT), and improved fractional low\u2010order multi\u2010windowed short\u2010time Fourier transform (IFLOMWSTFT) utilizing fractional low\u2010order statistics and short\u2010time Fourier transform (STFT) to mitigate cross\u2010terms, enhance time\u2013frequency resolution, and accommodate the infinite variance process environment. When compared to traditional methods, simulation results indicate that they effectively suppress the pulse noise and function effectively in lower mixed signal noise ratio (MSNR) in an infinite variance process environment. The efficacy of the proposed time\u2013frequency algorithm is validated through its application to mechanical bearing outer ring fault vibration signals contaminated with Gaussian noise and subjected to an\n                    <jats:italic>\u03b1<\/jats:italic>\n                    infinite variance process.\n                  <\/jats:p>","DOI":"10.1049\/2024\/7605121","type":"journal-article","created":{"date-parts":[[2024,8,27]],"date-time":"2024-08-27T06:20:30Z","timestamp":1724739630000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Robust Fractional Low\u2010Order Multiple Window STFT for Infinite Variance Process Environment"],"prefix":"10.1049","volume":"2024","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5531-597X","authenticated-orcid":false,"given":"Haibin","family":"Wang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5018-8345","authenticated-orcid":false,"given":"Changshou","family":"Deng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8395-4533","authenticated-orcid":false,"given":"Junbo","family":"Long","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0000-2030-2506","authenticated-orcid":false,"given":"Youxue","family":"Zhou","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"265","published-online":{"date-parts":[[2024,8,27]]},"reference":[{"key":"e_1_2_9_1_2","doi-asserted-by":"publisher","DOI":"10.3390\/en16031125"},{"key":"e_1_2_9_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.enbuild.2023.113367"},{"key":"e_1_2_9_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ymssp.2023.110545"},{"key":"e_1_2_9_4_2","doi-asserted-by":"publisher","DOI":"10.1155\/2023\/9878228"},{"key":"e_1_2_9_5_2","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2023.3292247"},{"key":"e_1_2_9_6_2","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6501\/acd2f3"},{"key":"e_1_2_9_7_2","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6501\/ac7b14"},{"key":"e_1_2_9_8_2","doi-asserted-by":"publisher","DOI":"10.3390\/machines10121145"},{"key":"e_1_2_9_9_2","doi-asserted-by":"publisher","DOI":"10.3390\/e24121822"},{"key":"e_1_2_9_10_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10845-023-02198-x"},{"key":"e_1_2_9_11_2","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6501\/ab4488"},{"key":"e_1_2_9_12_2","doi-asserted-by":"publisher","DOI":"10.1155\/2022\/8644454"},{"key":"e_1_2_9_13_2","doi-asserted-by":"publisher","DOI":"10.3390\/electronics11030451"},{"key":"e_1_2_9_14_2","doi-asserted-by":"publisher","DOI":"10.1155\/2022\/1754726"},{"key":"e_1_2_9_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.energy.2023.127920"},{"key":"e_1_2_9_16_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00202-022-01657-7"},{"key":"e_1_2_9_17_2","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6501\/acf7de"},{"key":"e_1_2_9_18_2","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6501\/ace644"},{"key":"e_1_2_9_19_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2021.110813"},{"key":"e_1_2_9_20_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2023.113960"},{"key":"e_1_2_9_21_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-023-08248-6"},{"key":"e_1_2_9_22_2","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pone.0276489"},{"key":"e_1_2_9_23_2","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pone.0175202"},{"key":"e_1_2_9_24_2","doi-asserted-by":"publisher","DOI":"10.1155\/2020\/3983242"},{"key":"e_1_2_9_25_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.measurement.2023.112460"},{"key":"e_1_2_9_26_2","doi-asserted-by":"publisher","DOI":"10.1155\/2018\/1737219"},{"key":"e_1_2_9_27_2","doi-asserted-by":"publisher","DOI":"10.3390\/electronics13122386"},{"key":"e_1_2_9_28_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.dsp.2023.104268"},{"key":"e_1_2_9_29_2","doi-asserted-by":"publisher","DOI":"10.3390\/electronics8091017"},{"key":"e_1_2_9_30_2","unstructured":"CWRU bearing data center https:\/\/engineering.case.edu\/bearingdatacenter\/download-data-file."},{"key":"e_1_2_9_31_2","doi-asserted-by":"publisher","DOI":"10.1109\/78.258146"},{"key":"e_1_2_9_32_2","doi-asserted-by":"crossref","unstructured":"KrylovA.andKorchaginD. 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