Constructing chaotic discrete sequences for digital communications based on correlation analysis

Author

Sang, Tao ; Wang, Ruli ; Yan, Yixun

Author_Institution

Inst. of Tech. Phys., Acad. Sinica, Shanghai, China

Volume

48

Issue

9

fYear

2000

fDate

9/1/2000 12:00:00 AM

Firstpage

2557

Lastpage

2565

Abstract

We introduce a model of chaotic systems that can provide a predictable probability distribution to generate discrete sequences for digital communications. Some well-known chaotic maps belong to its special cases. We generalize the spirit of a paper by Kohda and Tsuneda (1997) to explicitly express the covariance functions of the chaotic discrete sequences generated by this model. Based on the model, a scheme is proposed to construct the chaotic orthonormal discrete sequences, which are characterized by the asymptotic normalized (partial) δ-like autocovariance and near-zero cross covariance. Compared with the conventional algebraic sequences, such chaotic discrete sequences have quite a large number of choices. All empirical results well correspond to theoretic prediction

Keywords

chaos; correlation theory; covariance analysis; digital communication; discrete time systems; probability; sequences; asymptotic normalized δ-like autocovariance; chaotic discrete sequences; chaotic maps; chaotic orthonormal discrete sequences; correlation analysis; covariance functions; cross covariance; digital communications; predictable probability distribution; Chaos; Chaotic communication; Communication system security; Digital communication; Multiaccess communication; Predictive models; Probability distribution; Random number generation; Signal generators; Spread spectrum communication;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.863058

Filename

863058