TY  - JOUR
T1  - Analysis of Random Characteristics of Pseudo-Random Real Number and Binary Sequences Generated by Cascade Chaotic Maps
AU  - Choi, Hyojeong 
AU  - Kim, Gangsan 
AU  - Song, Hong-Yeop 
AU  - Shin, Sangung 
AU  - Lee, Chulho 
AU  - Noh, Hongjun 
JO  - The Journal of Korean Institute of Communications and Information Sciences
PY  - 2025
DA  - 2025/1/1
DO  - 10.7840/kics.2025.50.5.741
KW  - chaotic map
KW  - Cascade chaotic map
KW  - Lyapunov exponent
KW  - Pseudorandom sequence
AB  - 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.