On Transformation between Discretized Bernoulli and Tent Maps

On Transformation between Discretized Bernoulli and Tent Maps
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DOI：
10.1093/ietfec/e88-a.10.2678
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发表时间：
2005-10
期刊：
IEICE Trans. Fundam. Electron. Commun. Comput. Sci.
影响因子：
--
通讯作者：
D. Yoshioka;A. Tsuneda;T. Inoue
D. Yoshioka;A. Tsuneda;T. Inoue
中科院分区：
其他
文献类型：
--
作者：
D. Yoshioka;A. Tsuneda;T. Inoue

文献摘要

被引文献

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本文证明了两类非线性反馈移位寄存器之间存在一种变换，这种变换可以看作是有限精度的Bernoulli映射和帐篷映射的实现。这种变换可以解释为连续相空间上伯努利映射和帐篷映射之间的拓扑共轭的一种有限维形式。由该关系导出了由扩展的NFSR生成的周期序列的若干性质。
In this paper, it is proved that there is a transformation between two types of nonlinear feedback shift register which can be regarded as implementation of the Bernoulli and tent maps with finite precision. This transformation can be interpreted as a sort of finite dimension version of topological conjugation between the Bernoulli and tent maps on continuous phase space. Several properties of periodic sequences generated from extended NFSRs are derived from the relation.