Binary Sequences Using Chaotic Dynamics and Their Applications to Communications
Tohru Kohda, Kazuyuki Aihara · Procedia IUTAM · 2012
Shannon's communication system has three essential parts: (1) source, (2) receiver, and (3) channel. Since the usual or real communication systems are of a statistical nature, the performance of the system can never be described in a deterministic sense rather, it is always given in statistical terms. There are several close relationships between information sources and chaos because “chaos” is both of a deterministic and of a probabilistic nature. We review statistical properties of sequences of i.i.d. binary random variables (BRVs) generated by chaotic dynamics: (1) generation method of sequences of i.i.d. BRVs; and (2) designs of Spreading Spectrum (SS) codes generated by a Markov chain.