Applications of symbolic dynamics to differential chaos shift keying

In this paper, we present an enhanced version of the differential chaos shift keying (DCSK) scheme where the carrier symbolic dynamics are exploited for conveying useful information. This is achieved by means of a pseudochaotic encoder which spreads the input sequence approximating the dynamics of the Bernoulli shift. The information encoded in the pseudochaotic carrier is retrieved by using standard maximum-likelihood detection techniques. Moreover, it is shown that the proposed method can also be useful for noise filtering purposes. Finally, we characterize the total transfer of information between transmitter and receiver in terms of trans-information.