DocumentCode
418748
Title
Statistical properties of chaotic sequences generated by Jacobian elliptic Chebyshev rational maps
Author
Kohda, Tohru
Author_Institution
Dept. Comput. Sci. & Commun. Engg, Kyushu Univ., Fukuoka, Japan
Volume
5
fYear
2004
fDate
23-26 May 2004
Abstract
Jacobian elliptic Chebyshev map is introduced as a rational version of Chebyshev polynomial, whose invariant measure is defined by homeomorphism of tent map. Such an elliptic function and its derivative, another elliptic function, induce Jacobian elliptic Chebyshev curve. Real-valued orbits on such a curve provide uniform distribution and give sequences of i.i.d. 2D binary random variables.
Keywords
Chebyshev approximation; binary sequences; chaotic communication; statistical distributions; Chebyshev polynomial; Jacobian elliptic Chebyshev curve; Jacobian elliptic Chebyshev maps; binary random variable sequences; chaotic sequences; elliptic function; iid 2D binary random variables; invariant measure; rational polynomial version; real-valued orbits; statistical properties; tent map homeomorphism; uniform distribution; Chaos; Chaotic communication; Chebyshev approximation; Computer science; Extraterrestrial measurements; Jacobian matrices; Logistics; Orbits; Polynomials; Random variables;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 2004. ISCAS '04. Proceedings of the 2004 International Symposium on
Print_ISBN
0-7803-8251-X
Type
conf
DOI
10.1109/ISCAS.2004.1329891
Filename
1329891
Link To Document