Statistical properties of number sequences generated by 1D chaotic maps considered as a potential source of pseudorandom number sequences

Author

Jessa, Mieczyslaw ; Walentynowicz, Marcin

Author_Institution

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

Volume

1

fYear

2001

fDate

6/23/1905 12:00:00 AM

Firstpage

449

Abstract

The basic statistical properties of sequences generated by sawtooth maps and tent-like maps as a function of parameter determining the Kolmogorov-Sinai entropy are considered. The statistical properties of sequences generated by both maps for the same value of parameter and the same initial point are also compared. It has been also shown that tent-like maps may have a serious drawback from the perspective of their application as a source of pseudorandom sequences: they cannot generate the maximal-length sequences

Keywords

chaos generators; entropy; random number generation; sequences; statistics; 1D chaotic map; Kolmogorov-Sinai entropy; maximal-length sequence; number sequence generation; pseudorandom number sequence; sawtooth map; statistical properties; tent-like map; Chaos; Computer errors; Entropy; Floating-point arithmetic; Noise generators; Piecewise linear techniques; Random sequences; Signal generators; System testing; Trajectory;

fLanguage

English

Publisher

ieee

Conference_Titel

Electronics, Circuits and Systems, 2001. ICECS 2001. The 8th IEEE International Conference on

Print_ISBN

0-7803-7057-0

Type

conf

DOI

10.1109/ICECS.2001.957776

Filename

957776