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Nonlinear Theory and Its Applications, IEICE
Vol. 8 (2017) No. 3 pp. 224-234

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http://doi.org/10.1587/nolta.8.224

Special Section on Communication Sciences and Engineering

Post-processing scheme using linear feedback shift registers (LFSRs) for generating chaos-based random bit sequences with infinite period for use in Monte-Carlo methods is discussed. We theoretically analyze auto-correlation functions of choatic binary sequences generated by the Bernoulli chaotic map and a class of binary funcitons. The theoretical analyses can be applied to the LFSR-based post-processing for generating random bit sequences with prescribed auto-correlations because LFSRs can be regarded as a finite bit approximation of the Bernoulli map. Some results of numerical experiments are also given.

Copyright © 2017 The Institute of Electronics, Information and Communication Engineers

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