Noise-robust synchronized chaotic communications

Until now, research on the applications of self-synchronized chaotic circuits to communications has been hindered by the great sensitivity of self-synchronized chaotic systems to additive noise. In this paper, I demonstrate a self-synchronized chaotic system that synchronizes even in the presence of noise much larger than the signal. This system works because it generates signals with two different time scales, allowing noise added to the shorter time scale system to be averaged out by the longer time scale system. I demonstrate a simple communications scheme with this system, and I show that the curve of bit error rate as a function of (energy per bit)/(noise spectral density) is invariant with respect to bit length; allowing this system to operate in arbitrarily low signal-to-noise environments.