Efficient Cascaded 1-D and 2-D Chaotic Generators

In order to improve the communication security, two novel chaotic generators are proposed. The first one is a single order chaotic generator using two cascading stages, and the second one is a second order chaotic generator with single and cascaded layer. The goal is to generate binary pseudo random chaotic signal with high degree of randomness. We analyze their global dynamics properties using system and signal processing tools (Lyapunov exponents, bifurcation diagrams, distribution, pseudo phase, autocorrelation, cross correlation, NIST test). A complete analysis is provided. Experimental and theoretical analyses show that the proposed generators have good cryptographic properties.