Chaotic numbers

Author

Jessa, Mieczyslaw

Author_Institution

Inst. of Electron. & Telecommun., Tech. Univ. of Poznan, Poland

fYear

1992

fDate

16-20 Nov 1992

Firstpage

50

Abstract

A generation of random and pseudorandom numbers with good statistical properties is one of the most important subjects of modern communication and simulation. The author discusses the possibility of generating random and pseudorandom numbers in the area of the strange attractor of the tent map. To estimate basic properties of generated numbers four measures are used: the value of Lyapunov exponent being a measure of average speed of divergance of initially close trajectories, the value of topological entropy being a measure of the average speed of `mixing´ of trajectory points and values of autocorrelation, crosscorrelation functions and their FFT transforms being the measure of `self-similarity´ or `crossimilarity´ of trajectory fragments

Keywords

chaos; correlation theory; information theory; number theory; random number generation; FFT transforms; Lyapunov exponent; autocorrelation; chaotic numbers; communication; crosscorrelation functions; pseudorandom numbers; random number generation; simulation; strange attractor; tent map; topological entropy; Bifurcation; Chaos; Chaotic communication; Distribution functions; Entropy; Extraterrestrial measurements; Hardware; Probability density function; Random number generation; Velocity measurement;

fLanguage

English

Publisher

ieee

Conference_Titel

Singapore ICCS/ISITA '92. 'Communications on the Move'

Print_ISBN

0-7803-0803-4

Type

conf

DOI

10.1109/ICCS.1992.254942

Filename

254942