Performance Analysis of Nonlinear-Predictive-Filter-Based Chaotic Synchronization

Author

Kurian, Ajeesh P. ; Puthusserypady, Sadasivan

Author_Institution

Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore

Volume

53

Issue

9

fYear

2006

Firstpage

886

Lastpage

890

Abstract

Synchronization of chaotic systems is essential for chaotic communication schemes. If the communication environment is modeled stochastic, the extended-Kalman-filter-(EKF)-based synchronization scheme possesses minimum error in estimating the states for certain chaotic systems/maps. However, its intrinsic nonlinear approximation error can cause divergence and, hence, desynchronization. In this brief, a nonlinear predictive filter (NPF) is proposed for chaotic synchronization. The condition for stability and an approximate expression for the total normalized mean square error are derived. Numerical evaluations reveal that the proposed NPF-based synchronization scheme has better performance compared with the EKF-based scheme

Keywords

Kalman filters; approximation theory; chaotic communication; nonlinear filters; synchronisation; chaotic communication; chaotic maps; chaotic synchronization; chaotic systems; extended-Kalman-filter; nonlinear approximation error; nonlinear-predictive-filter; normalized mean square error; Approximation error; Chaos; Chaotic communication; Communication systems; Filters; Mean square error methods; Performance analysis; Stability; State estimation; Stochastic systems; Chaotic communication systems; extended Kalman filter (EKF); nonlinear predictive filter (NPF); synchronization;

fLanguage

English

Journal_Title

Circuits and Systems II: Express Briefs, IEEE Transactions on

Publisher

ieee

ISSN

1549-7747

Type

jour

DOI

10.1109/TCSII.2006.880012

Filename

1705060