Secure optical communication based on new 2D-hyperchaotic map

Abstract

The reason behind using chaos based cryptography is important 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 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.The reason behind using chaos based cryptography is important 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 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.