QUALITY EVALUATION OF RANDOM NUMBERS GENERATED BY CHAOTIC SAMPLING PHASE-LOCKED LOOPS

Citation
B. Vizvari et G. Kolumban, QUALITY EVALUATION OF RANDOM NUMBERS GENERATED BY CHAOTIC SAMPLING PHASE-LOCKED LOOPS, IEEE transactions on circuits and systems. 1, Fundamental theory andapplications, 45(3), 1998, pp. 216-224
Citations number
12
Categorie Soggetti
Engineering, Eletrical & Electronic
ISSN journal
10577122
Volume
45
Issue
3
Year of publication
1998
Pages
216 - 224
Database
ISI
SICI code
1057-7122(1998)45:3<216:QEORNG>2.0.ZU;2-5
Abstract
The quality of generated random numbers is determined by the independe nce of consecutive numbers from one another, If the random numbers are used for enciphering plain text then correlation or periodicity destr oys the security of the transmission, Chaotic signals are claimed to b e suitable for secure communications; however, the quality of the gene rated sequences has not yet been studied, Physical changes in the para meters of the chaotic circuits used to generate random numbers may alt er the parameters determining the chaotic behavior, i.e., the quality of the generated random numbers, This paper evaluates the quality of r andom sequences generated by chaotic sampling phase-locked loops (PLL' s). It shows that micro-Feigenbaum diagrams, i.e., small periodic wind ows, can be observed in the chaotic PLL's proposed for random number g eneration, The run test, a much more sensitive tool than the autocorre lation function, is used to evaluate the quality of the random numbers , Because the results have shown that the quality of the generated num bers does not meet the requirements, a simple method is proposed to im prove the performance of the chaotic PLL's.