Chaotic Sequences of I.I.D. Binary Random Variables with Their Applications to Communications
نویسنده
چکیده
The Bernoulli shift is a fundamental theoretic model of a sequence of independent and identically distributed(i.i.d.) binary random variables in probability theory, ergodic theory, information theory, and so on. We give a simple sufficient condition for a class of ergodic maps with some symmetric properties to produce a chaotic sequence of 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. Applications of such a sequene to communications are also discussed briefly
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