{"title":"泊松白噪下基于三稳态系统的弱信号检测分析","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":"{\"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}","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
摘要
摘要泊松白噪声是一种典型的非高斯噪声,它能诱发随机共振,从而检测出淹没在其中的特征信号。本文提出了一种泊松白噪声环境下过阻尼三稳态随机共振的检测方法。该方法基于过阻尼三稳态随机共振模型。首先,研究了三稳系统参数对势函数的影响。然后,利用交叉相关系数 Csx 测量不同脉冲到达率 β、系统结构参数 a、b、c 和噪声强度 D 下的泊松白噪声对系统共振的作用规律。最终,该系统成功应用于变速条件和泊松白噪声背景下的轴承故障诊断,并将仿真和实验结果与经典双稳态系统进行了比较。研究结果表明,该系统的性能明显优于经典双稳态系统。
Analysis of Weak Signal Detection Based on Tri-Stable System under Poisson White Noise
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).