{"title":"Signals Filtering Using Characteristic Function","authors":"D. A. Titov, Y. Veshkurtsev","doi":"10.1109/DYNAMICS.2018.8601480","DOIUrl":null,"url":null,"abstract":"An equation for filtering mixture of signal and noise has been studied using Lyapunov’s characteristic function. An algorithm for digital filtering the additive mixture has been developed based on the equation, and this algorithm has been simulated. The power of \"white\" noise after filtering is established to be reduced by five orders of magnitude, and the signal-to-noise ratio is increased by an order of magnitude.","PeriodicalId":394567,"journal":{"name":"2018 Dynamics of Systems, Mechanisms and Machines (Dynamics)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 Dynamics of Systems, Mechanisms and Machines (Dynamics)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DYNAMICS.2018.8601480","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
An equation for filtering mixture of signal and noise has been studied using Lyapunov’s characteristic function. An algorithm for digital filtering the additive mixture has been developed based on the equation, and this algorithm has been simulated. The power of "white" noise after filtering is established to be reduced by five orders of magnitude, and the signal-to-noise ratio is increased by an order of magnitude.