Auto-Correlation Properties of Binary Sequences Obtained by Switching Two Bernoulli Chaotic Binary Sequences

In Monte-Carlo simulations, various types of random numbers are necessary for simulating various kinds of stochastic phenomena. Using one-dimensional chaotic maps, we can design statistical properties of the chaotic sequences, which implies that chaotic sequences may be useful for Monte-Carlo methods. In this paper, we examine auto-correlation properties of binary sequences obtained by switching two chaotic binary sequences generated by Bernoulli map. It is shown that binary sequences with various new types of auto-correlation properties can be generated.