Design of binary sequences with tunable exponential autocorrelations and run statistics based on one-dimensional chaotic maps

Author

Tsuneda, Akio

Author_Institution

Dept. of Electr. & Comput. Eng., Kumamoto Univ., Japan

Volume

52

Issue

2

fYear

2005

Firstpage

454

Lastpage

462

Abstract

This paper describes simple design methods of chaotic binary sequences with prescribed exponential autocorrelation properties and run statistics. We employ one-dimensional piecewise monotonic onto maps and a simple threshold function for generating such sequences. Some examples of such designs are also given. Furthermore, bounds on run statistics are discussed and compared to the result for sequences of general binary random variables.

Keywords

binary sequences; chaotic communication; correlation theory; statistics; 1D chaotic maps; 1D piecewise monotonic; binary random variables; chaotic binary sequences; exponential autocorrelation; random number; run probability; run statistics; threshold function; tunable exponential autocorrelations; Autocorrelation; Binary sequences; Chaos; Chaotic communication; Design methodology; Multiaccess communication; Probability; Random number generation; Random variables; Statistics; Binary sequence; chaos; exponential autocorrelation; one-dimensional (1-D) map; random number; run probability;

fLanguage

English

Journal_Title

Circuits and Systems I: Regular Papers, IEEE Transactions on

Publisher

ieee

ISSN

1549-8328

Type

jour

DOI

10.1109/TCSI.2004.841597

Filename

1393175