{"title":"Analysis of Weak Signal Detection Based on Tri-Stable System under Poisson White Noise","authors":"Qiang Ma, Long Tian, Ran Peng, Kai Yang","doi":"10.1134/S1061830924601454","DOIUrl":null,"url":null,"abstract":"<p>Poisson white noise is a typical non-Gaussian noise that can induce stochastic resonance to detect feature signals submerged within it. In this paper, we propose a detection method for overdamped tri-stable stochastic resonance in Poisson white noise environment. Based on the model of over-damped tri-stable stochastic resonance. To begin with, the influence of the parameters of the tri-stable system on the potential function is studied. Then, the cross-correlation coefficient <i>C</i><sub><i>sx</i></sub> is used to measure Poisson white noise under different pulse arrival rates β, system structural parameters <i>a</i>, <i>b</i>, <i>c</i>, and noise intensity <i>D</i> the law of action on system resonance. Ultimately, the system is successfully applied to the fault diagnosis of bearing under variable speed conditions and the background of Poisson white noise, and the simulation and experimental results are compared with the classical bistable system. The findings suggest that the performance of the system significantly surpasses that of the classical bistable system.</p>","PeriodicalId":764,"journal":{"name":"Russian Journal of Nondestructive Testing","volume":"60 5","pages":"533 - 550"},"PeriodicalIF":0.9000,"publicationDate":"2024-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Russian Journal of Nondestructive Testing","FirstCategoryId":"88","ListUrlMain":"https://link.springer.com/article/10.1134/S1061830924601454","RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATERIALS SCIENCE, CHARACTERIZATION & TESTING","Score":null,"Total":0}
引用次数: 0
Abstract
Poisson white noise is a typical non-Gaussian noise that can induce stochastic resonance to detect feature signals submerged within it. In this paper, we propose a detection method for overdamped tri-stable stochastic resonance in Poisson white noise environment. Based on the model of over-damped tri-stable stochastic resonance. To begin with, the influence of the parameters of the tri-stable system on the potential function is studied. Then, the cross-correlation coefficient Csx is used to measure Poisson white noise under different pulse arrival rates β, system structural parameters a, b, c, and noise intensity D the law of action on system resonance. Ultimately, the system is successfully applied to the fault diagnosis of bearing under variable speed conditions and the background of Poisson white noise, and the simulation and experimental results are compared with the classical bistable system. The findings suggest that the performance of the system significantly surpasses that of the classical bistable system.
期刊介绍:
Russian Journal of Nondestructive Testing, a translation of Defectoskopiya, is a publication of the Russian Academy of Sciences. This publication offers current Russian research on the theory and technology of nondestructive testing of materials and components. It describes laboratory and industrial investigations of devices and instrumentation and provides reviews of new equipment developed for series manufacture. Articles cover all physical methods of nondestructive testing, including magnetic and electrical; ultrasonic; X-ray and Y-ray; capillary; liquid (color luminescence), and radio (for materials of low conductivity).