Optimal detection of differential chaos shift keying

Recent advances in the development of communication schemes based on chaos suggest that differential chaos shift keying (DCSK) is one of the most prom ising candidates for a feasible implementation. Traditionally, the demodula tion-decoding of DCSK has been achieved by means of a noncoherent approach based on a correlation detector. This approach in general works for any dif ferential noise shift keying (DNSK) out of which DCSK is a subclass, i.e., it does not exploit the chaotic dynamics involved. In this paper, it will b e shown that the simple correlation detector can be augmented by informatio n based on the chaotic dynamics to improve the performance, yielding a stat istically optimal detection. Introducing a rigorous probabilistic framework , the optimal receiver for additive white Gaussian noise (AWGN) will be der ived, and it is shown that it decomposes into a part based on correlation a nd a part based on the chaotic dynamics.