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Secure optical communication based on new 2D-hyperchaotic map
(Maltepe Üniversitesi, 2019) Younus, Dhurgham; Alsaidi, Nadia M. G.; Hamoudi, Walid K.
Chaos-based cryptography is considered as a preferred way in transferring and processing of the data through different unsecured channels; one of them is the optical channel. The reason behind this important is because of non-periodic chaotic signals; their behavior is nonlinear in addition to their sensitivity to initial conditions, which grant chaos great important in measuring the unpredictability and randomness. These properties conduct that; the designed system must possess high complexity. Therefore, designing a non-linear system satisfying the aforementioned properties is of high demand. Derived from the existing 1D-sine map, a new nonlinear 2D-adjusted sine map is intended to generate a hyperchaotic behavior; its dynamical properties are studied in term of fixed points, Jacobian eigenvalues, trajectory, Lyapunov exponent, and bifurcation diagram. The complexity of the 2D-adjusted sine map is investigated using the Approximate Entropy (AE). The generated chaotic signal is modulated with the message and sent as a binary sequence through an optical channel.