Reconstruction of chaotic signal based on deterministic approaches and its application in communications

We first propose a noise reduction algorithm based on the gradient descent method in order to reconstruct pseudo trajectories in the neighborhood of a true chaotic signal. Then, a modulation-demodulation chaos shift keying (CSK) scheme for data transmission which assumes a priori knowledge of the dynamics of chaotic carriers at the transmitter is developed. The similarity between the reconstructed attractor and that representing the sent symbol at the transmitter could be utilized to detect the sent symbol effectively. We show that this detection method can achieve a bit error rate performance comparable to that of other noncoherent chaos based communication systems.