Title :
Numerical evaluation of error probabilities of self-synchronizing chaotic communications
Author :
Chen, Chi-Chung ; Yao, Kung
Author_Institution :
Dept. of Electr. Eng., California Univ., Los Angeles, CA, USA
Abstract :
Based on stochastic calculus, we provide a rigorous formulation of the numerical evaluation of the error probabilities of two modulation techniques for the chaotic Lorenz communication system with additive white Gaussian noise disturbance. These results provide further understanding on the robust self-synchronization ability of the Lorenz system to noise. 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 the conventional binary pulse position modulation (PAM) communication system.
Keywords :
AWGN; calculus; chaos; error statistics; modulation; stochastic processes; synchronisation; AWGN disturbance; PAM communication system; additive white Gaussian noise; approximate model; binary pulse position modulation; chaotic Lorenz communication system; chaotic communication system performance; error probabilities; modulation techniques; numerical evaluation; robust self-synchronization; self-synchronizing chaotic communications; stochastic calculus; sufficient statistic variance; Additive white noise; Calculus; Chaotic communication; Error probability; Noise robustness; Pulse modulation; Statistics; Stochastic resonance; Stochastic systems; System performance;
Journal_Title :
Communications Letters, IEEE
DOI :
10.1109/4234.824749
