Design of a Chaotic Random Bit Generator Using a Duffing - van der Pol System

Abstract

In this paper a chaotic random bit generator, which is based in one of the most well-known non-autonomous chaotic dynamical systems, the Duffing van der Pol, is presented. The basic component of this design approach is the use of the Poincaré map of the aforementioned system. The produced chaotic attractor of the Duffing van der Pol system is converted with the proposed method to a random bit sequence. Furthermore, for, improving the “randomness” of the produced bit streams the X-OR function in the outputs of two threshold circuits that use two variables x which are produced by the two Duffing – van der Pol's Poincaré maps is used. Finally, the produced bit sequence is subjected to the de-skewing technique to extract unbiased bits with no correlation and so to increase their complexity, as it is confirmed by the statistical test suite, FIPS-140-2.