Stochastic calculus numerical evaluation of chaotic communication system performance

Based on stochastic calculus, we provide a rigorous formulation for the numerical evaluation of the error probabilities of two modulation techniques for the chaotic Lorenz communication system with AWGN disturbance. These results provide further understanding on the robust synchronization ability of the Lorenz system to noise. The synchronization robustness of Lorenz systems for various time scaling factors is also discussed. An approximate model of the variance of the sufficient statistic of the chaotic communication is derived, which permits a comparison of the chaotic communication system performance to a conventional communication system.