{"title":"Chaotic signals representation and spectral characterization using linear discrete-time filters","authors":"R. A. Costa, M. Eisencraft","doi":"10.23919/Eusipco47968.2020.9287475","DOIUrl":null,"url":null,"abstract":"We present a discrete-time linear recursive filter representation for a piecewise-linear map that generates chaotic signals. It can be used to easily deduce analytical formulas for power spectral density of chaotic signals, providing useful results for chaos-based communication systems and signal processing. Numerical simulations are used to validate the theoretical results.","PeriodicalId":6705,"journal":{"name":"2020 28th European Signal Processing Conference (EUSIPCO)","volume":"26 1","pages":"2235-2238"},"PeriodicalIF":0.0000,"publicationDate":"2021-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 28th European Signal Processing Conference (EUSIPCO)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23919/Eusipco47968.2020.9287475","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
We present a discrete-time linear recursive filter representation for a piecewise-linear map that generates chaotic signals. It can be used to easily deduce analytical formulas for power spectral density of chaotic signals, providing useful results for chaos-based communication systems and signal processing. Numerical simulations are used to validate the theoretical results.
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