Title :
Chaotic maps generating white noise
Author :
Goloubentsev, Alexander F. ; Anikin, Valery M. ; Barulina, Yuliya A.
Author_Institution :
Dept. of Comput. Phys., Saratov State Univ., Russia
Abstract :
Some one-dimensional chaotic maps having delta-autocorrelation function are considered. New examples of exact endomophisms generating discrete white noise for a continuous range of a parameter are obtained. They may be treated as generalizations of the Chebyshev polynomial T2(x), x ε (-1,1) of the first kind. The using such difference equations may be preferable to construct chaotic generators of pseudorandom sequences.
Keywords :
Chebyshev approximation; chaos generators; difference equations; polynomials; random sequences; white noise; Chebyshev polynomial generalization; chaotic generators constructions; delta autocorrelation function; difference equations; discrete white noise generation; endomophisms; one dimensional chaotic maps; pseudorandom sequences; Autocorrelation; Chaos; Chebyshev approximation; Eigenvalues and eigenfunctions; Equations; Logistics; Physics computing; Polynomials; Random sequences; White noise;
Conference_Titel :
Physics and Control, 2003. Proceedings. 2003 International Conference
Print_ISBN :
0-7803-7939-X
DOI :
10.1109/PHYCON.2003.1236865
