Statistics of chaotic binary sequences

@article{Kohda1997StatisticsOC,
  title={Statistics of chaotic binary sequences},
  author={T. Kohda and A. Tsuneda},
  journal={IEEE Trans. Information Theory},
  year={1997},
  volume={43},
  pages={104-112}
}
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… CONTINUE READING
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