Coded modulations based on controlled 1-D and 2-D piecewise linear chaotic maps

In this paper, the authors examine the use of chaotic systems based on the iteration of 1D and 2D piecewise linear chaotic maps in a coded modulation scheme. In the proposed scheme, the transmitted information is imposed on the dynamics of the chaotic systems by a small perturbation control method. By means of this control method, the system is driven in such a way that the symbolic sequence associated with the produced signal corresponds to the payload information, up to a possible coding delay. We investigate such systems and, in particular, their relation with trellis coded modulations. We show particular examples with good performance for real and complex valued Gaussian channels.