Self-Synchronizing Ergodic Maps and Chaotic Modulation
D G. Sterling
Self-synchronizing chaotic systems can be used as synchronous pseudo-random sequence generators, though physical applications have been limited by the sensitivity of the synchronous state to noise. Using two separate time scales in conjunction with a digital filter supresses the noise in the coupling signal. We find this gives stable synchronous motion even for signal-to-noise ratios less than 1. As an application of these pseudo-random sequence generators we propose a chaotic modulation scheme based on ergodic maps. We characterize the performance of this system by bounding the mean synchronization time and estimating the resulting bit energy.
IEEE Transactions on Circuits and Systems for Video Technology