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 Analysis of Random Characteristics of Pseudo-Random Real Number and Binary Sequences Generated by Cascade Chaotic Maps 


Vol. 50,  No. 5, pp. 741-750, May  2025
10.7840/kics.2025.50.5.741


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  Abstract

In this paper, we evaluate the dynamic properties, complexity, and randomness of cascaded Logistic, Sine, and Chebyshev maps using the Lyapunov Exponent (LE), Approximate Entropy (ApEn), and Permutation Entropy (PE). Additionally, we convert the real-number sequences generated by these maps into binary sequences using two different binary mapping methods, and we compare the autocorrelation and cross-correlation properties of the binary sequences with those of m-sequences. The experimental results show that the binary sequences generated from cascaded chaotic maps can produce a large set of codes with excellent correlation properties and randomness, depending on various initial conditions and control parameters.

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  Cite this article

[IEEE Style]

H. Choi, G. Kim, H. Song, S. Shin, C. Lee, H. Noh, "Analysis of Random Characteristics of Pseudo-Random Real Number and Binary Sequences Generated by Cascade Chaotic Maps," The Journal of Korean Institute of Communications and Information Sciences, vol. 50, no. 5, pp. 741-750, 2025. DOI: 10.7840/kics.2025.50.5.741.

[ACM Style]

Hyojeong Choi, Gangsan Kim, Hong-Yeop Song, Sangung Shin, Chulho Lee, and Hongjun Noh. 2025. Analysis of Random Characteristics of Pseudo-Random Real Number and Binary Sequences Generated by Cascade Chaotic Maps. The Journal of Korean Institute of Communications and Information Sciences, 50, 5, (2025), 741-750. DOI: 10.7840/kics.2025.50.5.741.

[KICS Style]

Hyojeong Choi, Gangsan Kim, Hong-Yeop Song, Sangung Shin, Chulho Lee, Hongjun Noh, "Analysis of Random Characteristics of Pseudo-Random Real Number and Binary Sequences Generated by Cascade Chaotic Maps," The Journal of Korean Institute of Communications and Information Sciences, vol. 50, no. 5, pp. 741-750, 5. 2025. (https://doi.org/10.7840/kics.2025.50.5.741)
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pISSN : 1226 - 4717
eISSN : 2287 - 3880