{"title":"斜帐篷映射产生的混沌信号的功率谱密度","authors":"D. M. Kato, M. Eisencraft","doi":"10.1109/ISSCS.2007.4292662","DOIUrl":null,"url":null,"abstract":"This paper investigates the characteristics of the Power Spectral Density (PSD) of chaotic orbits generated by skew tent maps. The influence of the Lyapunov exponent on the autocorrelation sequence and on the PSD is evaluated via computational simulations. We conclude that the essential bandwidth of these chaotic signals is strongly related to this exponent and they can be low-pass or high-pass depending on the parameter of the family. These results withstand the usual thought that chaotic signals are always broadband and provide a simple way of generating chaotic sequences with arbitrary bandwidth.","PeriodicalId":225101,"journal":{"name":"2007 International Symposium on Signals, Circuits and Systems","volume":"19 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":"{\"title\":\"On the Power Spectral Density of Chaotic Signals Generated by Skew Tent Maps\",\"authors\":\"D. M. Kato, M. Eisencraft\",\"doi\":\"10.1109/ISSCS.2007.4292662\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper investigates the characteristics of the Power Spectral Density (PSD) of chaotic orbits generated by skew tent maps. The influence of the Lyapunov exponent on the autocorrelation sequence and on the PSD is evaluated via computational simulations. We conclude that the essential bandwidth of these chaotic signals is strongly related to this exponent and they can be low-pass or high-pass depending on the parameter of the family. These results withstand the usual thought that chaotic signals are always broadband and provide a simple way of generating chaotic sequences with arbitrary bandwidth.\",\"PeriodicalId\":225101,\"journal\":{\"name\":\"2007 International Symposium on Signals, Circuits and Systems\",\"volume\":\"19 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-07-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"10\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2007 International Symposium on Signals, Circuits and Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISSCS.2007.4292662\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2007 International Symposium on Signals, Circuits and Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISSCS.2007.4292662","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the Power Spectral Density of Chaotic Signals Generated by Skew Tent Maps
This paper investigates the characteristics of the Power Spectral Density (PSD) of chaotic orbits generated by skew tent maps. The influence of the Lyapunov exponent on the autocorrelation sequence and on the PSD is evaluated via computational simulations. We conclude that the essential bandwidth of these chaotic signals is strongly related to this exponent and they can be low-pass or high-pass depending on the parameter of the family. These results withstand the usual thought that chaotic signals are always broadband and provide a simple way of generating chaotic sequences with arbitrary bandwidth.
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