{"title":"Periodic behaviors in a digital filter with two's complement arithmetic","authors":"Xinghuo Yu","doi":"10.1109/ISSPA.1999.818196","DOIUrl":null,"url":null,"abstract":"It is well known that the second order digital filter with two's complement arithmetic may exhibit chaos for certain values of parameters. In this paper, we show that for a particular set of parameter values, the second order digital filter with two's complement arithmetic exhibits periodic behaviors. The relation between the period of the trajectories and the travelling pattern is explored. Simulation results are given to validate the analysis.","PeriodicalId":302569,"journal":{"name":"ISSPA '99. Proceedings of the Fifth International Symposium on Signal Processing and its Applications (IEEE Cat. No.99EX359)","volume":"54 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"30","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ISSPA '99. Proceedings of the Fifth International Symposium on Signal Processing and its Applications (IEEE Cat. No.99EX359)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISSPA.1999.818196","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 30
Abstract
It is well known that the second order digital filter with two's complement arithmetic may exhibit chaos for certain values of parameters. In this paper, we show that for a particular set of parameter values, the second order digital filter with two's complement arithmetic exhibits periodic behaviors. The relation between the period of the trajectories and the travelling pattern is explored. Simulation results are given to validate the analysis.