Optimal receiver for ergodic chaos shift keying

The recent proposal of ergodic chaos shift keying (ECSK) has been able to provide a viable compromise between chaos shift keying (CSK) schemes - using optimal detectors on the upper (performance) boundary - and schemes using synchronization - on the lower (performance) boundary. This compromise is interesting for applications due to the computational complexity of the optimal method, which in practice prohibits its implementation. Previously, the design of an ECSK scheme had been based on a simplistic criterion, i.e. the maximization of the decision variable's mean. This paper provides a systematic approach to optimizing the receiver of an amplitude modulated implementation of ECSK (AM-ECSK) based on the assumption of a Gaussian decision variable.