Title :
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
fDate :
6/23/1905 12:00:00 AM
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;
Conference_Titel :
Electronics, Circuits and Systems, 2001. ICECS 2001. The 8th IEEE International Conference on
Print_ISBN :
0-7803-7057-0
DOI :
10.1109/ICECS.2001.957776
