Title :
Statistics of chaotic binary sequences
Author :
Kohda, Tohru ; Tsuneda, Akio
Author_Institution :
Dept. of Comput. Sci. & Commun. Eng., Kyushu Univ., Fukuoka, Japan
fDate :
1/1/1997 12:00:00 AM
Abstract :
Statistical properties of binary sequences generated by a class of ergodic maps with some symmetric properties are discussed on the basis of an ensemble-average technique. We give a simple sufficient condition for such a class of maps to produce a fair Bernoulli sequence, that is, a sequence of independent and identically distributed (i.i.d.) binary random variables. This condition is expressed in terms of binary function, which is a generalized version of the Rademacher function for the dyadic map
Keywords :
binary sequences; chaos; random processes; statistical analysis; Rademacher function; binary function; chaotic binary sequences; dyadic map; ensemble-average technique; ergodic maps; fair Bernoulli sequence; i.i.d. binary random variables; independent and identically distributed binary random variables; statistical properties; symmetric properties; Application software; Binary sequences; Chaos; Chaotic communication; Computer science; Digital communication; Extraterrestrial measurements; Random variables; Statistics; Sufficient conditions;
Journal_Title :
Information Theory, IEEE Transactions on
