Noise performance of chaotic communication systems

We present cumulant analysis tools suitable fur the study of chaos communication systems. The approach uses random process models for all signals involved. The analysis is applied to the differential chaos shift keying (DCSK) scheme and its close relative-the transmitted reference (TR) approach under additive white Gaussian noise channel conditions. Approximative as well as exact performance figures are derived, the latter agreeing with results recently presented in the literature. The parameter ranges for the application of either solution are specified. The noise robustness problem present in DCSK/TR is discussed and quantified.