Statistics of chaotic binary sequences
Statistics of chaotic binary sequences
复制标题
DOI：
10.1109/18.567654
复制
发表时间：
1997-01-01
影响因子：
2.5
通讯作者：
Tsuneda, A
中科院分区：
文献类型：
--
作者：
Kohda, T;Tsuneda, A
利用系综平均技术讨论了一类具有对称性质的遍历映射生成的二元序列的统计性质。我们给出了这类映射产生公平Bernoulli序列的一个简单的充分条件，即独立同分布（i.i.d.）二进制随机变量这个条件用二元函数来表示，它是并元映射的Rademacher函数的推广形式。
Statistical properties of binary sequences generated by a class of ergodic maps with some symmetric properties are discussed on the basis of an ensemble-average technique. We give a simple sufficient condition for such a class of maps to produce a fair Bernoulli sequence, that is, a sequence of independent and identically distributed (i.i.d.) binary random variables. This condition is expressed in terms of binary function, which is a generalized version of the Rademacher function for the dyadic map.