{"title":"用数字滤波器结构产生n维均匀概率分布的混沌信号","authors":"K. Kelber, M. Gg Otz, Wolfgang Schwarz","doi":"10.1109/DSPWS.1996.555568","DOIUrl":null,"url":null,"abstract":"This paper deals with the generation of chaotic signals which have a uniform probability distribution up to nth-order. First a generator structure containing a static nonlinearity and a dynamical subsystem is deduced and the system characteristics are specified. Then conditions for the generation of continuous-value signals with nth-order uniform distribution are derived. For the special case of digital filter structures with chaotic behaviour the condition is simply that one specified parameter has to be an integer. Finally problems of continuous-value and discrete-value analysis and realisation are discussed. Some simulation results are provided.","PeriodicalId":131323,"journal":{"name":"1996 IEEE Digital Signal Processing Workshop Proceedings","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1996-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Generation of chaotic signals with n-dimensional uniform probability distribution by digital filter structures\",\"authors\":\"K. Kelber, M. Gg Otz, Wolfgang Schwarz\",\"doi\":\"10.1109/DSPWS.1996.555568\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper deals with the generation of chaotic signals which have a uniform probability distribution up to nth-order. First a generator structure containing a static nonlinearity and a dynamical subsystem is deduced and the system characteristics are specified. Then conditions for the generation of continuous-value signals with nth-order uniform distribution are derived. For the special case of digital filter structures with chaotic behaviour the condition is simply that one specified parameter has to be an integer. Finally problems of continuous-value and discrete-value analysis and realisation are discussed. Some simulation results are provided.\",\"PeriodicalId\":131323,\"journal\":{\"name\":\"1996 IEEE Digital Signal Processing Workshop Proceedings\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1996-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"1996 IEEE Digital Signal Processing Workshop Proceedings\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DSPWS.1996.555568\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"1996 IEEE Digital Signal Processing Workshop Proceedings","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DSPWS.1996.555568","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Generation of chaotic signals with n-dimensional uniform probability distribution by digital filter structures
This paper deals with the generation of chaotic signals which have a uniform probability distribution up to nth-order. First a generator structure containing a static nonlinearity and a dynamical subsystem is deduced and the system characteristics are specified. Then conditions for the generation of continuous-value signals with nth-order uniform distribution are derived. For the special case of digital filter structures with chaotic behaviour the condition is simply that one specified parameter has to be an integer. Finally problems of continuous-value and discrete-value analysis and realisation are discussed. Some simulation results are provided.
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