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

Volume

4

Issue

2

fYear

2000

Firstpage

37

Lastpage

39

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;

fLanguage

English

Journal_Title

Communications Letters, IEEE

Publisher

ieee

ISSN

1089-7798

Type

jour

DOI

10.1109/4234.824749

Filename

824749