Title :
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
fDate :
9/1/2000 12:00:00 AM
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;
Journal_Title :
Signal Processing, IEEE Transactions on
