A novel channel coding scheme based on continuous-time chaotic dynamics

Abstract

One of the most outstanding properties of chaotic dynamical systems is their extreme sensitivity to small perturbations. Far from being a disadvantage, this feature can be exploited to devise a simple technique that allows to control the symbolic dynamics of a chaotic system by applying small perturbations to the system trajectory. In this paper, we show how this procedure can be employed to differentially encode an arbitrary binary message within a continuous-time chaotic waveform generated by a chaotic system. This chaotic waveform is an information-bearing signal that naturally presents a high degree of redundancy. By exploiting this property, we introduce a novel chaotic channel code with error-correcting capabilities.