{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,20]],"date-time":"2025-12-20T22:13:33Z","timestamp":1766268813790,"version":"build-2065373602"},"reference-count":16,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2014,7,29]],"date-time":"2014-07-29T00:00:00Z","timestamp":1406592000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51075323"],"award-info":[{"award-number":["51075323"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"name":"the monitoring of aircraft engine rolling bearing technology based on self-energised wireless sensors of China","award":["869"],"award-info":[{"award-number":["869"]}]},{"name":"dynamic performance detection technology for aircraft rolling bearings","award":["201101-03"],"award-info":[{"award-number":["201101-03"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In this paper a stochastic resonance (SR)-based method for recovering weak impulsive signals is developed for quantitative diagnosis of faults in rotating machinery. It was shown in theory that weak impulsive signals follow the mechanism of SR, but the SR produces a nonlinear distortion of the shape of the impulsive signal. To eliminate the distortion a moving least squares fitting method is introduced to reconstruct the signal from the output of the SR process. This proposed method is verified by comparing its detection results with that of a morphological filter based on both simulated and experimental signals. The experimental results show that the background noise is suppressed effectively and the key features of impulsive signals are reconstructed with a good degree of accuracy, which leads to an accurate diagnosis of faults in roller bearings in a run-to failure test.<\/jats:p>","DOI":"10.3390\/s140813692","type":"journal-article","created":{"date-parts":[[2014,7,29]],"date-time":"2014-07-29T10:58:58Z","timestamp":1406631538000},"page":"13692-13707","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["The Recovery of Weak Impulsive Signals Based on Stochastic Resonance and Moving Least Squares Fitting"],"prefix":"10.3390","volume":"14","author":[{"given":"Kuosheng","family":"Jiang","sequence":"first","affiliation":[{"name":"School of Mechanical Engineering, Xi'an Jiaotong University, Xi'an 710049, China"}]},{"given":"Guanghua","family":"Xu","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, Xi'an Jiaotong University, Xi'an 710049, China"},{"name":"State Key Laboratory for Manufacturing System Engineering, School of Mechanical Engineering, Xi'an Jiaotong University, Xi'an 710049, China"}]},{"given":"Lin","family":"Liang","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, Xi'an Jiaotong University, Xi'an 710049, China"},{"name":"Key Laboratory of Education Ministry for Modern Design and Rotor-Bearing System,  Xi'an 710049, China"}]},{"given":"Tangfei","family":"Tao","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, Xi'an Jiaotong University, Xi'an 710049, China"},{"name":"Key Laboratory of Education Ministry for Modern Design and Rotor-Bearing System,  Xi'an 710049, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4907-525X","authenticated-orcid":false,"given":"Fengshou","family":"Gu","sequence":"additional","affiliation":[{"name":"School of Computing and Engineering, University of Huddersfield, Queensgate,  Huddersfield HD1 3DH, UK"}]}],"member":"1968","published-online":{"date-parts":[[2014,7,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"236","DOI":"10.1016\/j.ymssp.2008.03.012","article-title":"Application of improved morphological filter to the extraction of impulsive signals","volume":"23","author":"Wang","year":"2009","journal-title":"Mech. Syst. Signal Process."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"452","DOI":"10.1016\/j.dsp.2007.10.012","article-title":"Underwater acoustic azimuth and elevation angle estimation using spatial invariance of two identically oriented vector hydrophones at unknown locations in impulsive noise","volume":"19","author":"He","year":"2009","journal-title":"Digit. Signal Process."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1016\/j.ymssp.2014.03.013","article-title":"Impulsive sound source localization using peak and RMS estimation of the time-domain beamformer output","volume":"49","author":"Seo","year":"2014","journal-title":"Mech. Syst. Signal Process."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"753","DOI":"10.1016\/j.ymssp.2007.09.001","article-title":"Localization of moving periodic impulsive source in a noisy environment","volume":"22","author":"Jeon","year":"2008","journal-title":"Mech. Syst. Signal Process."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1147","DOI":"10.1006\/mssp.2002.1576","article-title":"Application of morphological operators as envelope extractors for impulsive-type periodic signals","volume":"17","author":"Nikolaou","year":"2003","journal-title":"Mech. Syst. Signal Process."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"406","DOI":"10.1016\/j.dsp.2007.04.013","article-title":"An impulsive noise color image filter using learning-based color morphological operations","volume":"18","author":"Zhou","year":"2008","journal-title":"Digit. Signal Process."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"472","DOI":"10.1016\/j.aeue.2007.07.001","article-title":"Impulsive noise detection by second-order differential image and noise removal using adaptive nearest neighbourhood filter","volume":"62","author":"Somasundaram","year":"2013","journal-title":"AEU. Int. J. Electron. Commun."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1077","DOI":"10.1016\/S0888-3270(03)00077-3","article-title":"Oil analysis bearing fault diagnosis based on wavelet transform and fuzzy inference","volume":"18","author":"Lou","year":"2004","journal-title":"Mech. Syst. Signal Process."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"250","DOI":"10.1016\/S0888-3270(03)00099-2","article-title":"Application of EMD method and Hilbert spectrum to the fault diagnosis of roller bearings","volume":"19","author":"Yu","year":"2005","journal-title":"Mech. Syst. Signal Process."},{"key":"ref_10","unstructured":"Freudinger, L.C., Lind, R., and Brenner, M.J. (1998, January 2\u20135). Correlation filtering of modal dynamics using the Laplace wavelet. Santa Barbara, CA, USA."},{"key":"ref_11","first-page":"194","article-title":"A new method to recover the signal obtained by stochastic resonance","volume":"35","author":"Li","year":"2003","journal-title":"Acta Mech. Sin."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1016\/j.ymssp.2012.06.021","article-title":"Planetary gearbox fault diagnosis using an adaptive stochastic resonance method","volume":"38","author":"Lei","year":"2013","journal-title":"Mech. Syst. Signal Process."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"157","DOI":"10.3390\/s7020157","article-title":"A Modified Adaptive Stochastic Resonance for Detecting Faint Signal in Sensors","volume":"7","author":"Huang","year":"2007","journal-title":"Sensors"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"443","DOI":"10.1016\/j.ymssp.2011.11.021","article-title":"Multiscale noise tuning of stochastic resonance for enhanced fault diagnosis in rotating machines","volume":"28","author":"He","year":"2012","journal-title":"Mech. Mech. Syst. Signal Process."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"6803","DOI":"10.7498\/aps.56.6803","article-title":"Research of adaptive stochastic resonance based on approximate entropy","volume":"56","author":"Li","year":"2007","journal-title":"Acta Phys. Sin."},{"key":"ref_16","first-page":"1862","article-title":"A quantitative diagnosis method for rolling element bearing using signal complexity and morphology filtering","volume":"14","author":"Jiang","year":"2012","journal-title":"J. Vibroeng."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/14\/8\/13692\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T21:14:09Z","timestamp":1760217249000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/14\/8\/13692"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,7,29]]},"references-count":16,"journal-issue":{"issue":"8","published-online":{"date-parts":[[2014,8]]}},"alternative-id":["s140813692"],"URL":"https:\/\/doi.org\/10.3390\/s140813692","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2014,7,29]]}}}