Noise-robust synchronized chaotic communications

Abstract

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.

Behavioral Mimicry Covert Communication

“…These systems provides noise-like behaviors and are extremely sensitive to initial conditions. Therefore, a considerable research was done on developing a real world circuits with chaotic behaviors [60]. Followed by the discovery of the self-synchronized chaotic circuits by Pecora and Carroll [61] the application of chaotic systems for secure and covert communication has been intensely studied and few schemes were developed [55,58,62].…”

Chaotic system for self-synchronizing Doppler measurement

“…[10][11][12][13]15 As a Doppler detector, the response system is used to convert the broad band x 2 signal to the much narrower band y 7 signal. ͑4͒ is not identical to the drive system of Eqs.…”

Chaotic systems that are robust to added noise

“…The two-frequency Rossler chaotic system is described by 17,18 dx 1 dt = − ͑␥ 11 x 1 + ␥ 12 x 2 + x 3 + ␤x 4 ͒,…”

“…17,18 These particular systems consisted of a Rossler-type chaotic system coupled to a nonlinear oscillator with a much lower frequency. Synchronization could be confirmed in these systems even when the added noise amplitude was much larger than the driving signal.…”